sagsim open

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Moly-Cop Tools, Version 3.0 About the SAGSim_Open Spreadsheet ... Scope : The SAGSim_Open spreadsheet was designed to simulate the Size-by-Size Mass Balance around any given singlestage Semiautogenous Grinding (SAG) Mill (see Flowsheet), on the basis of a mathematical model obtained as an extension of the linear grinding model previously derived for conventional ball mills (see files BallSim_Direct or BallSim_Reverse). Theoretical Framework : - The Linear Grinding Model for Conventional Ball Mills : The simulation of a conventional ball mill response is based on the so called Modern Theory of Comminution. This theory introduced two new sets of parameters : the Selection Function S and the Breakage Function B. The first set also referred to as Grindability relates to the grinding kinetics of each independent particle and the second set also referred to as Distribution of Primary Fragments characterizes the size distribution of the fragments produced as a result of breakage events. The Figure below helps define both concepts with greater clarity. Consider that at any given instant t, the size distribution of the mineral charge in a hypothetical batch mill is quantified by the fractions f i (i = 1, n) retained on the n different screens represented on the left of such Figure. After a time interval Dt, the resulting size distribution is represented on the right of the same Figure. During this time interval, some particles will be fractured and their fragments redistributed to the lower screens. For the particles retained on mesh ‘i+1’ (the ‘i’ fraction), the Selection Function S i (min -1 ) denotes the fractional breakage velocity; that is, the fraction of the particles in the size range [d i+1 , d i ] which are fractured, per unit of time. Therefore, the product (S i Dt) represents the fraction of the material retained on mesh ‘i+1’, at time t, that will be fractured by the action of the grinding media, during the following time period Dt. Complementarily, the Breakage Function b ij denotes the fraction, by weight, of the fragments arising from the breakage of the particles retained on mesh ‘j+1’ to be retained on the lower ‘i+1’ mesh. Moly-Cop Tools / 242963264.xlsx.ms_office Page 1 9/2/2014 / 11:50 PM

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Page 1: SAGSim Open

Moly-Cop Tools, Version 3.0

About the SAGSim_Open Spreadsheet ...

Scope : The SAGSim_Open spreadsheet was designed to simulate the Size-by-Size Mass Balance around any given singlestage Semiautogenous Grinding (SAG) Mill (see Flowsheet), on the basis of a mathematical model obtained as an extension of the linear grinding model previously derived for conventional ball mills (see files BallSim_Direct or BallSim_Reverse). Theoretical Framework : - The Linear Grinding Model for Conventional Ball Mills : The simulation of a conventional ball mill response is based on the so called Modern Theory of Comminution. This theory introduced two new sets of parameters : the Selection Function S and the Breakage Function B. The first set – also referred to as Grindability – relates to the grinding kinetics of each independent particle and the second set – also referred to as Distribution of Primary Fragments – characterizes the size distribution of the fragments produced as a result of breakage events. The Figure below helps define both concepts with greater clarity. Consider that at any given instant t, the size distribution of the mineral charge in a hypothetical batch mill is quantified by the fractions f i (i = 1, n) retained on the n different

screens represented on the left of such Figure. After a time interval Dt, the resulting size distribution is represented on the right of the same Figure. During this time interval, some particles will be fractured and their fragments redistributed to the lower screens. For the particles retained on mesh ‘i+1’ (the ‘i’ fraction), the Selection Function Si (min-1) denotes the fractional breakage velocity; that is, the fraction of the particles in the size range [di+1 , di] which are fractured, per unit of

time. Therefore, the product (SiDt) represents the fraction of the material retained on mesh ‘i+1’, at time t, that will be

fractured by the action of the grinding media, during the following time period Dt. Complementarily, the Breakage Function bij denotes the fraction, by weight, of the fragments arising from the breakage of the particles retained on mesh ‘j+1’ to be retained on the lower ‘i+1’ mesh.

Moly-Cop Tools / 242963264.xlsx.ms_office Page 1 9/2/2014 / 11:50 PM

Page 2: SAGSim Open

Moly-Cop Tools, Version 3.0

About the SAGSim_Open Spreadsheet ...

It is customary to define mesh ‘1’ as the coarsest opening and ‘n’ as the finest opening. Then, by definition : i+1

Bij = S bkj (1)

k=n represents the cummulative fraction of fragments from the breakage of particles retained on mesh ‘j’ that will become finer than mesh ‘i’. With reference to the Figure above, it is then possible to establish, for each size fraction ‘i’, the following population balance of particles :

[Particles in fraction ‘i’ at time (t+Dt)] = [Particles in fraction ‘i’ at time t]

- [Particles in fraction ‘i’ broken during the time interval Dt] + [New particles added to fraction ‘i’ as a result of the breakage of particles originally retained in the coarser fractions (j = 1, i-1)] then, if H represents the total weight of ore in the mill :

fi(t+Dt) H = fi(t) H - SiDtfi(t) H + bi1S1Dtf1(t) H + bi2S2Dtf2(t) H + … + bi,i-1Si-1Dtfi-1(t) H ; for i = 1, 2, …, n (2)

Considering the limiting condition when Dt approaches zero, the expression above reduces to the system of first order differential equations : 1

d(fi)/dt = -Si fi + S bij Sj fj ; for i = 1, 2, …, n (3)

j = i-1 which constitutes the General Grinding Model, in its differential form. The analytical solution of this complex system of differential equations is fortunately known, under the restrictive assumption that the parameters S and B are invariant with time; so giving rise to particular solution of the general system denoted ‘Linear Model’, which in its matrix form is expressed as : f = ( T J T-1 ) f° (4) where : f = {fi | i = 1, 2, …, n} = vector containing the size distribution of the mill discharge (ground product), f° = {fi° | i = 1, 2, …, n} = vector containing the size distribution of the mill feed, T = {Tij | i,j = 1, 2, …, n} = lower triangular matrix of values Tij recursively defined as : Tij = 0 ; when i < j Tij = 1 ; when i = j i - 1

Tij = S ( bik Sk Tkj )/( Si – Sj ) ; when i > j

k = j

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Page 3: SAGSim Open

Moly-Cop Tools, Version 3.0

About the SAGSim_Open Spreadsheet ...

J = {Jij | i,j = 1, 2, …, n} = diagonal matrix of values Jij defined as : Jij = exp (-Sit) ; when i = j ( batch grinding)

Jij = (1 + Sit/N)-N ; when i = j (continuous grinding) Jij = 0 ; in all other cases

and where t - the average mean residence time - and N are parameters characteristic of the Residence Time Distribution (RTD) of the mineral slurry in the mill, here represented by :

E(t) = [ NN (t/t)N-1 / t G(N) ] exp (-Nt/t) (5) referred to as the ‘N-Mixers in Series Model’ and where the parameter N may be approximated by the effective (Lenght/Diameter) ratio of the mill. The grinding model parameters (the Selection and Breakage parameters) are different for different particle sizes. Such dependence is here represented by the following relationships : - For the Selection Function :

Si = a0 (di*)a1 / [ 1 + (di* / dcrit)

a2 ] (6) with : di* = (di · di+1)

0.5 = average particle size of the ‘i-th’ fraction. - For the Breakage Function :

Bij = b0 (di/dj+1)b1 + (1- b0) (di/dj+1)

b2 (7)

expressions that considerably reduce the number of ore characteristic parameters to a maximum of seven (a0, a1, a2, dcrit,

b0, b1 and b2) and simplify the computation of the (n-1) Si‘s values and the n(n-1)/2 Bij’s values required for the evaluation of the model. The critical role of the Specific Energy Consumption E (kWh/ton) becomes explicit in the above formulations through a simple change of variables, when introducing the Specific Selection Function parameter as : Si

Eballs = Si (H/Pballs) ; i = 1, 2, ..., n (8)

and recognizing that (see Equations 2 and 5) : Eballs = t (Pballs/H) (batch grinding)

Eballs = t (Pballs/H) (continuous grinding) (9) where Pballs represents the contribution of the balls to the Net Mill Power Draw (kW) (see Mill Power_Ball Mills), it may be concluded that : SiEballs Eballs = Si t (batch grinding)

or : SiEballs Eballs = Si t (continuous grinding) (10)

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Page 4: SAGSim Open

Moly-Cop Tools, Version 3.0

About the SAGSim_Open Spreadsheet ...

Therefore, it is enough to replace in Equations 4 above the products (Sit) or (Sit) by the product (SiE

ballsEballs) to obtain the equations of the Linear Grinding Model in terms of the Specific Selection Function, Si

Eballs.

- A Generalized Model for SAG Mill Power Draw : (see About ... in file Mill Power_SAG Mills) The Net Power Demand of a SAG mill may be well estimated by the simple Hogg and Fuerstenau Model (“Power Relations for Tumbling Mills”, Trans. SME-AIME, Vol. 252, pp. 418-432, 1972), here expanded from its original formulation to represent the independent contribution of each component of the mill charge (balls, rocks and slurry) to the total net power draw of the mill :

Pnet = h Pgross = 0.238 D3.5 (L/D) Nc rap (J - 1.065 J2) sina (11) where :

Pgross = gross power draw of the mill (kW) = Pnet / h.

h = electrical and power transmission efficiency, °/1. D = effective mill diameter, ft. L = effective mill length, ft. Nc = tumbling speed; expressed as a fraction (°/1) of the critical centrifugation speed : Ncrit = 76.6/D0.5. J = apparent volumetric fractional mill filling, °/1 (including the balls, the rocks and the interstitial voids in between such balls and rocks).

a = charge lifting angle (defines the dynamic positioning of the center of gravity of the mill load (the ‘kidney’) with respect to the vertical direction. Typically in the range of 40° to 45°.

and where rap denotes the apparent density of the charge (ton/m3), which may be evaluated on the basis of the indicated charge components (balls, rocks and interstitial slurry) :

rap = { (1-fv) rb Jb + (1-fv) rm (J – Jb) + rp Jp fv J } / J (12) with : fv = volume fraction (°/1) of interstitial voids in between the balls (typically assumed to be 40% of the volume apparently occupied by the balls). Jb = apparent balls filling (°/1) (including balls and the interstitial voids in between such balls). Jp = interstitial slurry filling (°/1), corresponding to the fraction of the available interstitial voids (in between the balls and rocks charge) actually occupied by the slurry of finer particles.

rm = mineral particle density, ton/m3.

rp = slurry density (ton/m3) directly related to the weight % solids of the slurry (fs) by :

1/[(fs/rm) + (1 - fs)]. In this formulation, the contribution to the net mill power by the balls in the charge becomes :

Pballs = [(1-fv) rb Jb / rap J] · (h Pgross) (13)

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Page 5: SAGSim Open

Moly-Cop Tools, Version 3.0

About the SAGSim_Open Spreadsheet ...

Similarly, the contribution to the net mill power by the rocks in the charge becomes :

Procks = [ (1-fv) rm (J - Jb) / rap J] · (h Pgross) (14) and finally, the contribution of the slurry in the charge becomes :

Ppulp = [rp Jp fv J / rap J] · (h Pgross) (15) - Extension of the Conventional Grinding Model to SAG Systems : The basic mechanisms by which finer particles are generated in SAG mills are essentially the same multiple mechanisms of compression, abrasion and impact operative in conventional ball mills. Amongst them, at least the following three appear to be predominant : - Action of Balls on Particles, similar to conventional mills, - Action of Rocks on Particles, with rocks acting as grinding media, - Self-breakage of the Rocks, as a result of their own tumbling action. For each mechanism, independently, it is possible to provide a mathematical characterization of the process kinetics in terms of Si

E and Bij parameters, as described in the following paragraphs. In due recognition of the controlling role of the Specific Energy (kWh/ton) in the grinding kinetics, the current development postulates that the effectiveness of the balls is consequently proportional to the power absorbed by them (Equation 13), the effectiveness of the rocks as grinding media is similarly proportional to the power they absorb (Equation 14) and finally, these same rocks self-break also as a function of the power they absorb (Equation 14). Therefore, the Overall Specific Selection Function may be obtained from : Si

Eoverall E = Si

Eballs Eballs + Si

Erocks Erocks + Si

Eself Erocks (16)

where, by direct analogy to the conventional model reviewed earlier, expressions similar to Equation 6 above are here proposed, for each independent mechanism :

SiE = a0 (di*)

a1 / [ 1 + (di* / dcrit)a2 ] (17)

where the values of a0, a1, a2 and dcrit may be different in each case. With regard to the Breakage Function, it is possible to achieve greater descriptive flexibility by expanding the functional relationships presented in Equation 7 above, as follows :

Bij = b0j (di/dchips,j)b1 + (1- b0j) (di/dj+1)

b2

, if di < dchips,j (18)

Bij = b0j + (1- b0j) (di/dj+1)b2

, if di > dchips,j

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Page 6: SAGSim Open

Moly-Cop Tools, Version 3.0

About the SAGSim_Open Spreadsheet ...

with :

b0j = b00(dj+1/100,000) -b01 , never > 1

b3j = b30 (dj+1 /100,000) -b31 , never > 1

dchips,j = b3j (dj+1) For simplicity, it has been assumed that all particles are fragmented according to the same breakage pattern depending only on the ore properties, independent of the mechanism originating the fragments . The practical motivation for this expanded, more complex form of the Breakage Function arises from the empirical observation that the bigger rocks break into just a few large pieces and a minor proportion of smaller fragments or ‘chips’, without generating much intermediate sizes. The mathematical characterization of SAG circuits presents additional challenges for the process analyst because, unlike the case of conventional mills, the ground particles can leave the charge only after they have reached a size smaller than the discharge grate opening of the mill. A further complication, the power drawn by a SAG mill – which in turns, determines its processing capacity – depends on the apparent level and composition of the charge, both of which vary significantly as a function of the fresh ore feedrate. For such reason, the operator can not set at his own will the mill throughput rate. In mathematical terms, this implies difficulties to establish the boundary conditions required to integrate the proposed model equations. In such context, the computation routine incorporated to SAGSim_Open resolves these difficulties by means of a numerical integration algorithm that mimics the execution of the typical pilot scale, open circuit SAG tests : 1. Define mill operating conditions in terms of apparent filling, ball filling, rotational speed, etc. 2. Begin simulation with the mill charged with fresh feed ore. As the complete, detailed feed size distribution is known, identify the proportion of ‘rocks’ and ‘slurry’ size particles in such feed. As a general rule, particles larger than ½” are considered ‘rocks’ that occupy apparent volume in the mill, while those particles smaller than ½” are considered ‘slurry’ that would only occupy the void interstitial spaces in between the balls and rocks. 3. Simulate the ‘batch’ grinding of the initial load in the mill, for a marginal increment of specific energy (< 0.5 kWh/ton), using Equations 4 above, properly documented with the values assigned to the Overall Specific Selection Function (Equation 16) and the Breakage Function (Equation 18). 4. Simulate the classification of the resulting ground product, taking into account the specified discharge grate opening (or the trommel opening or the screen opening, whichever opening sets the size of the particles out of the grinding stage). For such purpose, the following Classification Efficiency Curve is defined : ci = Bpf + (1-Bpf) {1 – exp [-0.693 (di/dg)

m]} (20) where : ci = Weight fraction of the particles of size ‘i’ that are rejected together with the coarser particles presented to the grate. Bpf = Grate (or trommel or screen) by-pass factor; represents the fraction of the particles presented to the grate that are rejected to the coarse stream, without even submitting them to the classification process. dg = Nominal grate (or trommel or screen) opening. m = Grate (or trommel or screen) discrimination index, typically in the range of 1 to 3.

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Page 7: SAGSim Open

Moly-Cop Tools, Version 3.0

About the SAGSim_Open Spreadsheet ...

5. The resulting fraction passing the grate (or trommel or screen) opening is discarded as mill ground product. In some cases, due to the restrictions to slurry flow imposed by the grate, mass transport out of the mill may be a rate limiting step. The mass transport capacity of the grate is here represented by the expression : Qg = 60 kg A0 Vs (21) where Qg represents the maximum m3/hr of slurry through the grate, kg is a kinetic rate constant for the grate in 1/in2/min, A0 is the grate's open area in in2 and Vs is the mill hold-up of finer-than-grate slurry in m3. The attached algorithm imposes the condition that the flowrate of slurry out of the mill should never exceed Qg. 6. The ‘rocks’ that were ground to product or ‘slurry’ sizes, during the brief marginal grinding period (< 0.5 kWh/ton), are replaced in the load by sufficient fresh feed ore containing an equivalent quantity of ‘rocks’, in order to maintain constant the apparent mill filling, as specified in Step 1 above. 7. Repeat the procedure from Step 3 above until a stationary condition is reached; that is, when the amount of fresh feed to be replaced after several consecutive iterations remains invariant. Upon convergence, this simple numerical integration algorithm allows for the computation of the simulated mill throughput, the detailed product size distribution and also the size distribution of the mill load. With the aid of the same simulator, it is then possible to structure a non-linear regression routine for the estimation of the most appropriate values of the various model parameters pertaining to any real system of interest, on the basis of available experimental data, previously collected at pilot and/or industrial scales (see file SAGParam_Open). Data Input and Program Execution : The data required by the simulator must be defined in each corresponding unprotected white background cell - inside the red double-lined border - of the here attached Data_File worksheet. Gray background cells contain the results of the corresponding formulas there defined and are protected to avoid any accidental editing. The main simulator output - mill throughput - is directly obtained in Cell E29. Detailed simulation results are presented in the Reports worksheet and graphically summarized in the Flowsheet and Charts worksheets. New Moly-Cop Tools users are invited to explore the brief comments inserted in each relevant cell, rendering the whole utilization of the worksheets self-explanatory. Eventually, the user may wish to remove the view of the comments by selecting Tools / Options / View / Comments / None.

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Page 8: SAGSim Open

Moly-Cop Tools TM (Version 3.0)

Circuit Type OPEN (see Flowsheet ) Simulation N° 0

Remarks

Power, KW

Mill Dimensions and Operating Conditions 8566 Balls

Eff. Diameter Eff. Length Speed Charge Balls Interstitial Lift 3224 Rocks

ft ft % Critical Filling,% Filling,% Filling,% Angle, (°) 1471 Slurry

37.4 21.3 72.0 24.5 12.0 50.0 41.7 13260 Net Total

rpm 9.02 15.00 % Losses

15600 Gross Total

% Solids in Mill Slurry 76.0 Charge App. Dens.

Ore Density, ton/m3 2.80 Volume, m3 Balls Rocks Slurry ton/m3

Slurry Density, ton/m3 1.955 162.66 370.46 139.42 63.61 3.526

Balls Density, ton/m3 7.75

Feed Moisture, % 5.0

% Open Open # of Grate Area / Rate Const.

Area Area, in2 Elements Element 1/in2/min

Grate Opening, mm 85.00 16.00 25311 37 684.1 10.000

Slurry Top Size, mm 12.70

Fresh Feedrate, ton/hr 2720.4 in2/(ton/hr) of Rocks 20.02 Min 27.50

Sp. Energy, KWH/ton 5.73 in2/(m3/hr) of Slurry 17.68 Min 4.23

i Mesh Opening Mid-Size ton/hr % Retained % Passing

1 16" 304800 100.00

2 8" 254000 278243 202.40 7.44 92.56

3 4" 203200 227185 172.47 6.34 86.22

4 3" 152400 175976 234.50 8.62 77.60

5 2" 101600 124434 251.64 9.25 68.35

6 1.05 76200 87988 220.62 8.11 60.24

7 0.742 50800 62217 211.65 7.78 52.46

8 0.525 25400 35921 384.39 14.13 38.33

9 0.371 12700 17961 253.54 9.32 29.01

10 3 9525 10999 82.43 3.03 25.98

11 4 6350 7777 124.32 4.57 21.41

12 6 3353 4614 142.82 5.25 16.16

13 8 1999 2589 88.41 3.25 12.91

14 10 1679 1832 11.43 0.42 12.49

15 14 1191 1414 44.89 1.65 10.84

16 20 841 1001 31.28 1.15 9.69

17 28 594 707 31.01 1.14 8.55

18 35 419 499 29.11 1.07 7.48

19 48 300 355 28.29 1.04 6.44

20 65 212 252 22.04 0.81 5.63

21 100 150 178 19.04 0.70 4.93

22 150 125 137 8.16 0.30 4.63

23 200 75 97 20.95 0.77 3.86

24 270 53 63 10.61 0.39 3.47

25 400 38 45 10.88 0.40 3.07

26 -400 0 0 83.52 3.07 0.00

Selection Function Parameters :

Balls on Rocks on Self Grate Parameters :

Particles Particles Breakage Default

alpha0 0.00358000 0.00228000 0.00018 Inefficiency 0.400 0.4

alpha1 0.650 0.650 0.650 D50/DGrate 0.600 0.7

alpha2 3.500 3.500 m 2.000 3.0

dcrit 25400 9500

Breakage Function Parameters :

beta00 0.400 beta01 0.050 (default : 0.0)

beta1 0.650

beta2 2.500

beta30 0.127 beta31 0.000 (default : 1.0)

Incr. Specific Energy, KWH/ton : 0.50 (default : 0.2)

Feed Size Distribution

Charge Weight, tons

SAGSIM_Open : Semiautogenous Grinding Mill Simulator

Base Case Example

Maximum Grate Transport Capacity

'Grinding Kinetics Controlled'

Specific Grate Area Demand

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Page 9: SAGSim Open

Moly-Cop Tools TM (Version 3.0)

Remarks

Simulation N° 0

ton/hr 2720.4

F80 165620

% Solids 95.00

Water, 316.7

m3/hr

85.00 mm, Grate Opening

Gross kW 15600 16.00 % Open Area

Charge Level, % 24.50

Balls Filling, % 12.00

Speed, % Critical 72.00 85.54 % Solids

8.47 % - Size 23

kWh/ton 5.73 53459 P80

Base Case Example

SAGSIM_Open : Semiautogenous Grinding Mill Simulator

Moly-Cop Tools / 242963264.xlsx.ms_office / Flowsheet 9/2/2014 / 11:50 PM

Page 10: SAGSim Open

Moly-Cop Tools TM (Version 3.0)

Simulation N° 0 Remarks :

SAGSIM_Open : Semiautogenous Grinding Mill Simulator

Base Case Example

1

10

100

10 100 1000 10000 100000 1000000

% P

assin

g

Particle Size, microns

Mill Feed

Mill Discharge

Mill Load

Size Distributions

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Page 11: SAGSim Open

Moly-Cop Tools TM (Version 3.0)

Simulation N° 0

Remarks : Base Case Example

Fresh Mill Mill Mill

Feed Feed Discharge Charge

Ore, ton/hr 2720.4 2720.4 2720.4 148.9 tons

Water, m3/hr 143.2 459.9 459.9 3.0 m

3

Slurry, ton/hr 2863.6 3180.3 3180.3 151.8 tons

Slurry, m3/hr 1114.8 1431.4 1431.4 56.1 m

3

Slurry Dens., ton/m3

2.569 2.222 2.222 2.704 ton/m3

% Solids (by volume) 87.2 67.9 67.9 94.7 %

% Solids (by weight) 95.0 85.5 85.5 98.0 %

i Mesh Opening

1 16" 304800 100.00 100.00 100.00 100.00

2 8" 254000 92.56 92.56 100.00 89.32

3 4" 203200 86.22 86.22 100.00 75.70

4 3" 152400 77.60 77.60 100.00 52.03

5 2" 101600 68.35 68.35 100.00 17.58

6 1.05 76200 60.24 60.24 89.54 9.41

7 0.742 50800 52.46 52.46 78.71 6.55

8 0.525 25400 38.33 38.33 66.39 5.17

9 0.371 12700 29.01 29.01 58.06 4.46

10 3 9525 25.98 25.98 53.53 4.10

11 4 6350 21.41 21.41 47.30 3.61

12 6 3353 16.16 16.16 39.08 2.98

13 8 1999 12.91 12.91 32.81 2.50

14 10 1679 12.49 12.49 31.28 2.38

15 14 1191 10.84 10.84 27.60 2.10

16 20 841 9.69 9.69 24.38 1.86

17 28 594 8.55 8.55 21.28 1.62

18 35 419 7.48 7.48 18.57 1.41

19 48 300 6.44 6.44 15.92 1.21

20 65 212 5.63 5.63 13.64 1.04

21 100 150 4.93 4.93 11.63 0.89

22 150 125 4.63 4.63 10.70 0.82

23 200 75 3.86 3.86 8.47 0.65

24 270 53 3.47 3.47 7.26 0.55

25 400 38 3.07 3.07 6.20 0.47

D80, microns 165620 165620 53459 218921

Specific Energy Cons., kWh/ton : 5.73 (Gross) Water to Mill, m3/hr : 316.7

Op. Work Index, kWh/ton : 307.02

Particle Size Distributions (Cummulative % Passing)

SAGSIM_OpenSemiautogenous Grinding Mill Simulator

CIRCUIT MASS BALANCEConfiguration : OPEN

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Moly-Cop Tools TM (Version 3.0)

Simulation N° 0

Remarks : Base Case Example

Eff. Diameter, ft 37.4 App. Density, ton/m3

3.526

Eff. Length, ft 21.3 Mill Power, kW (Gross) 15600

Speed, % Critical 72.0 Mill Power, kW (Net) 13260

Charge Level, % 24.5 Sp. Energy, kWh/ton 5.73

Balls Filling, % 12.0

Lift Angle, (°) 41.7 Throughput, ton/hr 2720.4

Grate Opening, mm 85 % Solids (Slurry) 76.0

Mill Mill Mill

i Mesh Opening Feed Discharge Charge

1 16" 304800 100.00 100.00 100.0000

2 8" 254000 92.56 100.00 89.3168

3 4" 203200 86.22 100.00 75.7012

4 3" 152400 77.60 100.00 52.0320

5 2" 101600 68.35 100.00 17.5811

6 1.05 76200 60.24 89.54 9.4122

7 0.742 50800 52.46 78.71 6.5489

8 0.525 25400 38.33 66.39 5.1692

9 0.371 12700 29.01 58.06 4.4647

10 3 9525 25.98 53.53 4.0987

11 4 6350 21.41 47.30 3.6107

12 6 3353 16.16 39.08 2.9803

13 8 1999 12.91 32.81 2.5013

14 10 1679 12.49 31.28 2.3841

15 14 1191 10.84 27.60 2.1036

16 20 841 9.69 24.38 1.8582

17 28 594 8.55 21.28 1.6217

18 35 419 7.48 18.57 1.4148

19 48 300 6.44 15.92 1.2132

20 65 212 5.63 13.64 1.0391

21 100 150 4.93 11.63 0.8860

22 150 125 4.63 10.70 0.8150

23 200 75 3.86 8.47 0.6452

24 270 53 3.47 7.26 0.5532

25 400 38 3.07 6.20 0.4727

D80, microns 165620 53459 218921

SAG MILL PERFORMANCE

SAGSIM_OpenSemiautogenous Grinding Mill Simulator

Size Distributions (% Passing)

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Page 13: SAGSim Open

Moly-Cop Tools TM (Version 3.0)

Simulation N° 0

Balls on Particles : Self-Breakage : beta00 0.400

alpha0 0.00358000 alpha0 0.00018000 beta01 0.050

alpha1 0.650 alpha1 0.650 beta1 0.650

alpha2 3.50 beta2 2.500

Dcrit 25400 beta30 0.127

beta31 0.000

Rocks on Particles :

alpha0 0.00228000

alpha1 0.650 Inefficiency 0.400

alpha2 3.50 D50/DGrate 0.600

Dcrit 9500 m 2.000

Grate Parameters

Selection Function

SAGSIM_Open MODEL PARAMETERS

Breakage Function

Moly-Cop Tools / 242963264.xlsx.ms_office Page 13 9/2/2014 / 11:50 PM

Page 14: SAGSim Open

SiE

Selection Function : (see Plot below)

alpha01 0.00358 alpha02 0.00228 alpha03 0.00018

alpha11 0.65 alpha12 0.65 alpha13 0.65

alpha21 3.5 alpha22 3.5

dcrit1 25400 dcrit2 9500

i Mesh Opening Mid-Size SiE SiE SiE SiE

Balls Rocks Self Overall

1 16" 304800

2 8" 254000 278243 0.0028 0.00006 0.6225 0.1532

3 4" 203200 227185 0.0051 0.00010 0.5457 0.1360

4 3" 152400 175976 0.0105 0.0002 0.4622 0.1192

5 2" 101600 124434 0.0281 0.0006 0.3690 0.1080

6 1.05 76200 87988 0.0748 0.0015 0.2945 0.1203

7 0.742 50800 62217 0.1948 0.0041 0.2351 0.1840

8 0.525 25400 35921 0.7499 0.0196 0.1645 0.5292

9 0.371 12700 17961 1.6075 0.1291 0.1049 1.0953

10 3 9525 10999 1.4393 0.3617 0.0762 1.0362

11 4 6350 7777 1.1914 0.5151 0.0609 0.9097

12 6 3353 4614 0.8599 0.5084 0.0433 0.6896

13 8 1999 2589 0.5919 0.3732 0.0298 0.4803

14 10 1679 1832 0.4729 0.3002 0.0238 0.3842

15 14 1191 1414 0.3996 0.2542 0.0201 0.3248

16 20 841 1001 0.3192 0.2032 0.0161 0.2595

17 28 594 707 0.2546 0.1622 0.0128 0.2070

18 35 419 499 0.2030 0.1293 0.0102 0.1651

19 48 300 355 0.1626 0.1036 0.0082 0.1322

20 65 212 252 0.1303 0.0830 0.0066 0.1060

21 100 150 178 0.1040 0.0663 0.0052 0.0846

22 150 125 137 0.0876 0.0558 0.0044 0.0712

23 200 75 97 0.0699 0.0445 0.0035 0.0569

24 270 53 63 0.0529 0.0337 0.0027 0.0430

25 400 38 45 0.0424 0.0270 0.0021 0.0345

26 -400 0 19 0.0000 0.0000 0.0000 0.0000

Balls Rocks Self-Breakage

Page 14

Page 15: SAGSim Open

Bij

Breakage Function :

Parameters for Beta0 Parameters for Beta3

Beta00 Beta01 Beta1 Beta2 Beta30 Beta31

0.4 0.05 0.65 2.5 0.127 0

i Mesh Opening Beta0J Beta3J d (chips) Cummulative

1 16" 304800 0.37832 0.127 38709.6 1

2 8" 254000 0.381785 0.127 32258 1 1

3 4" 203200 0.386068 0.127 25806.4 0.735672 1 1

4 3" 152400 0.391661 0.127 19354.8 0.554177 0.685138 1 1

5 2" 101600 0.399683 0.127 12903.2 0.444344 0.494597 0.61242 1 1

6 1.05 76200 0.405473 0.127 9677.4 0.412259 0.438937 0.499201 0.692121 1 1

7 0.742 50800 0.413777 0.127 6451.6 0.392843 0.405253 0.430686 0.505805 0.62122 1 1

8 0.525 25400 0.428369 0.127 3225.8 0.328803 0.385497 0.39856 0.418443 0.443612 0.517408 1 1

9 0.371 12700 0.443476 0.127 1612.9 0.208639 0.244108 0.299051 0.398896 0.412215 0.432097 0.52942 1

10 3 9525 0.449901 0.127 1209.675 0.172938 0.20227 0.24763 0.329729 0.404596 0.422702 0.477595 0.714581

11 4 6350 0.459115 0.127 806.45 0.132803 0.155289 0.190018 0.252682 0.309526 0.412769 0.446233 0.541856

12 6 3353 0.474011 0.127 425.831 0.087659 0.102486 0.125366 0.166573 0.203829 0.271061 0.431988 0.463408

13 8 1999 0.486429 0.127 253.873 0.062626 0.073216 0.089554 0.118962 0.145528 0.193382 0.314851 0.448946

14 10 1679 0.49069 0.127 213.233 0.055912 0.065366 0.079951 0.106202 0.129911 0.172607 0.280854 0.447012

15 14 1191 0.499188 0.127 151.257 0.044726 0.052287 0.063953 0.084947 0.103905 0.138032 0.224426 0.365638

16 20 841 0.507949 0.127 106.807 0.035672 0.041703 0.051007 0.067749 0.082866 0.110073 0.178895 0.291059

17 28 594 0.516857 0.127 75.438 0.028456 0.033266 0.040688 0.054043 0.0661 0.087798 0.142663 0.231942

18 35 419 0.525956 0.127 53.213 0.02268 0.026514 0.03243 0.043073 0.052683 0.069975 0.113689 0.184766

19 48 300 0.534815 0.127 38.1 0.018253 0.021339 0.026099 0.034665 0.042399 0.056315 0.09149 0.14866

20 65 212 0.544181 0.127 26.924 0.014565 0.017028 0.020827 0.027662 0.033833 0.044937 0.073004 0.118609

21 100 150 0.553676 0.127 19.05 0.011632 0.013599 0.016633 0.022091 0.02702 0.035888 0.058301 0.094716

22 150 125 0.558746 0.127 15.875 0.010332 0.012079 0.014774 0.019622 0.024 0.031877 0.051785 0.084129

23 200 75 0.573201 0.127 9.525 0.007413 0.008666 0.0106 0.014078 0.017219 0.02287 0.037153 0.060357

24 270 53 0.583239 0.127 6.731 0.005915 0.006915 0.008458 0.011234 0.01374 0.01825 0.029647 0.048163

25 400 38 0.593022 0.127 4.826 0.004765 0.005571 0.006813 0.009049 0.011068 0.014701 0.023882 0.038796

Page 15

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Bij

i Mesh Opening Partial

1 16" 304800 0

2 8" 254000 0.264328 0

3 4" 203200 0.181495 0.314862 0

4 3" 152400 0.109833 0.190542 0.38758 0

5 2" 101600 0.032084 0.05566 0.113218 0.307879 0

6 1.05 76200 0.019416 0.033683 0.068515 0.186316 0.37878 0

7 0.742 50800 0.06404 0.019757 0.032126 0.087362 0.177607 0.482592 0

8 0.525 25400 0.120164 0.141389 0.099509 0.019546 0.031397 0.085311 0.47058 0

9 0.371 12700 0.035702 0.041838 0.051421 0.069167 0.00762 0.009395 0.051825 0.285419

10 3 9525 0.040135 0.046981 0.057612 0.077047 0.095069 0.009933 0.031362 0.172724

11 4 6350 0.045144 0.052803 0.064651 0.086109 0.105697 0.141707 0.014244 0.078448

12 6 3353 0.025033 0.02927 0.035813 0.04761 0.058301 0.077679 0.117138 0.014462

13 8 1999 0.006714 0.00785 0.009603 0.012761 0.015617 0.020775 0.033996 0.001934

14 10 1679 0.011186 0.013078 0.015998 0.021254 0.026006 0.034575 0.056428 0.081374

15 14 1191 0.009054 0.010585 0.012947 0.017198 0.021039 0.027959 0.045531 0.07458

16 20 841 0.007216 0.008436 0.010319 0.013707 0.016766 0.022275 0.036232 0.059117

17 28 594 0.005776 0.006752 0.008258 0.010969 0.013417 0.017823 0.028974 0.047176

18 35 419 0.004427 0.005176 0.00633 0.008408 0.010284 0.01366 0.022199 0.036107

19 48 300 0.003688 0.004311 0.005273 0.007003 0.008566 0.011378 0.018487 0.030051

20 65 212 0.002933 0.003429 0.004194 0.005571 0.006813 0.00905 0.014703 0.023893

21 100 150 0.0013 0.00152 0.001859 0.002469 0.00302 0.004011 0.006516 0.010587

22 150 125 0.002919 0.003413 0.004174 0.005544 0.006781 0.009007 0.014632 0.023772

23 200 75 0.001498 0.001751 0.002141 0.002844 0.003479 0.00462 0.007506 0.012194

24 270 53 0.00115 0.001345 0.001645 0.002185 0.002672 0.003549 0.005766 0.009367

25 400 38 0.004765 0.005571 0.006813 0.009049 0.011068 0.014701 0.023882 0.038796

1 1 1 1 1 1 1 1

Page 16

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Bij

1

1 1

0.649525 1 1

0.490346 0.568701 1 1

0.461 0.48919 0.618364 1 1

0.457077 0.478559 0.567341 0.818473 1 1

0.448415 0.467355 0.513563 0.627146 0.706532 1 1

0.356496 0.462568 0.490583 0.545389 0.581127 0.709027 1 1

0.283897 0.377811 0.480959 0.511148 0.528606 0.587164 0.714243 1 1

0.226074 0.30058 0.471958 0.496759 0.506535 0.535953 0.594159 0.718761 1 1

0.181862 0.241683 0.378756 0.49091 0.497563 0.515136 0.545345 0.604439 0.731586 1 1

0.145085 0.192758 0.301762 0.434531 0.491729 0.505883 0.523648 0.553624 0.612278 0.730097 1 1

0.115853 0.153899 0.240794 0.346316 0.391616 0.499307 0.51456 0.53234 0.562306 0.617049 0.736128 1 1

0.102901 0.136688 0.213827 0.307412 0.347542 0.442789 0.51214 0.526672 0.549 0.586947 0.665863 0.836618 1 1

0.073823 0.098056 0.153351 0.220336 0.24901 0.3169 0.404833 0.517642 0.532382 0.549352 0.578113 0.632575 0.681792 1

0.058908 0.078243 0.122355 0.175769 0.198623 0.25269 0.322605 0.41203 0.527284 0.540918 0.558425 0.586797 0.6104 0.752369

0.047451 0.063025 0.098554 0.141565 0.159962 0.203471 0.259685 0.331476 0.423743 0.536559 0.550381 0.568093 0.58123 0.651189

Page 17

Page 18: SAGSim Open

Bij

0

0.350475 0

0.159179 0.431299 0

0.029345 0.079511 0.381636 0

0.003923 0.01063 0.051023 0.181527 0

0.008662 0.011204 0.053777 0.191326 0.293468 0

0.091919 0.004788 0.02298 0.081757 0.125405 0.290973 0

0.072599 0.084757 0.009624 0.034241 0.052521 0.121863 0.285757 0

0.057824 0.077231 0.009001 0.014389 0.022071 0.051211 0.120084 0.281239 0

0.044212 0.058897 0.093202 0.005849 0.008972 0.020817 0.048814 0.114322 0.268414 0

0.036777 0.048925 0.076994 0.056379 0.005834 0.009253 0.021697 0.050815 0.119308 0.269903 0

0.029232 0.038859 0.060968 0.088215 0.100113 0.006576 0.009088 0.021284 0.049972 0.113048 0.263872 0

0.012952 0.017211 0.026967 0.038904 0.044075 0.056518 0.00242 0.005668 0.013307 0.030103 0.070264 0.163382 0

0.029078 0.038633 0.060476 0.087076 0.098532 0.125889 0.107307 0.009031 0.016618 0.037594 0.087751 0.204042 0.318208 0

0.014915 0.019813 0.030995 0.044566 0.050387 0.06421 0.082228 0.105611 0.005098 0.008434 0.019687 0.045778 0.071392 0.247631

0.011456 0.015217 0.023801 0.034204 0.03866 0.049219 0.06292 0.080554 0.103541 0.004359 0.008044 0.018704 0.02917 0.10118

0.047451 0.063025 0.098554 0.141565 0.159962 0.203471 0.259685 0.331476 0.423743 0.536559 0.550381 0.568093 0.58123 0.651189

1 1 1 1 1 1 1 1 1 1 1 1 1 1

Page 18

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Bij

1

1 1

0.764647 1 1

Page 19

Page 20: SAGSim Open

Bij

0

0.235353 0

0.764647 1 0

1 1 0

Page 20

Page 21: SAGSim Open

J&T

Ebar 0.5

Matrix J

1 2 3 4 5 6 7 8 9

1 0.926264722 0 0 0 0 0 0 0 0

2 0 0.934282266 0 0 0 0 0 0 0

3 0 0 0.942146066 0 0 0 0 0 0

4 0 0 0 0.947439837 0 0 0 0 0

5 0 0 0 0 0.941638367 0 0 0 0

6 0 0 0 0 0 0.912091266 0 0 0

7 0 0 0 0 0 0 0.767511106 0 0

8 0 0 0 0 0 0 0 0.578317215 0

9 0 0 0 0 0 0 0 0 0.595649633

10 0 0 0 0 0 0 0 0 0

11 0 0 0 0 0 0 0 0 0

12 0 0 0 0 0 0 0 0 0

13 0 0 0 0 0 0 0 0 0

14 0 0 0 0 0 0 0 0 0

15 0 0 0 0 0 0 0 0 0

16 0 0 0 0 0 0 0 0 0

17 0 0 0 0 0 0 0 0 0

18 0 0 0 0 0 0 0 0 0

19 0 0 0 0 0 0 0 0 0

20 0 0 0 0 0 0 0 0 0

21 0 0 0 0 0 0 0 0 0

22 0 0 0 0 0 0 0 0 0

23 0 0 0 0 0 0 0 0 0

24 0 0 0 0 0 0 0 0 0

25 0 0 0 0 0 0 0 0 0

Matrix bij (Partial)

1 2 3 4 5 6 7 8 9

1 0 0 0 0 0 0 0 0 0

2 0.264328293 0 0 0 0 0 0 0 0

3 0.181494838 0.314861601 0 0 0 0 0 0 0

Page 21

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J&T

4 0.109833348 0.190541528 0.387580222 0 0 0 0 0 0

5 0.032084058 0.055660193 0.113218312 0.307879178 0 0 0 0 0

6 0.019415976 0.033683302 0.068515151 0.186316047 0.378780481 0 0 0 0

7 0.064040476 0.019756694 0.032126241 0.087362199 0.17760733 0.482592075 0 0 0

8 0.120163595 0.141389046 0.099509123 0.019546196 0.031396837 0.085311032 0.470579741 0 0

9 0.035701908 0.041837969 0.05142082 0.069167283 0.007619777 0.009395329 0.051825083 0.28541946 0

10 0.040134862 0.046980768 0.057612445 0.077047462 0.095069311 0.009932947 0.031362448 0.172724333 0.350475164

11 0.045143525 0.052803076 0.064651261 0.08610903 0.105697389 0.14170745 0.014244239 0.07844817 0.159179282

12 0.025032952 0.029270117 0.035812516 0.047610316 0.058301324 0.077679245 0.11713789 0.014462115 0.029345095

13 0.006714303 0.007850106 0.009603047 0.012760674 0.015616737 0.020774705 0.033996292 0.001933518 0.003923304

14 0.011186319 0.013078201 0.015997549 0.021254177 0.026005529 0.034574867 0.056428092 0.081374218 0.008661998

15 0.009053657 0.010584579 0.012946615 0.017198364 0.021039287 0.027959061 0.045531182 0.074579584 0.091919171

16 0.007216296 0.008436415 0.010318782 0.013706531 0.016766031 0.022274801 0.036232241 0.059116583 0.072598649

17 0.005775524 0.006751991 0.008258402 0.010969287 0.013417124 0.01782322 0.02897354 0.04717571 0.0578235

18 0.004427102 0.005175572 0.006330226 0.008408005 0.010284016 0.013660291 0.02219919 0.036106614 0.044211722

19 0.00368756 0.004310991 0.005272738 0.007003342 0.008565825 0.011377606 0.018486522 0.030050968 0.036777249

20 0.002933164 0.003429051 0.004194035 0.005570558 0.00681333 0.009049668 0.014702715 0.023892809 0.029232318

21 0.001299977 0.001519752 0.001858791 0.002468858 0.003019641 0.004010743 0.006515868 0.010587236 0.012951593

22 0.00291927 0.003412804 0.004174158 0.005544133 0.006780972 0.009006561 0.014631695 0.023771978 0.02907829

23 0.001497608 0.001750795 0.002141374 0.002844179 0.00347868 0.004620402 0.007505976 0.012194104 0.01491514

24 0.001150384 0.001344869 0.001644892 0.002184748 0.002672137 0.003549142 0.005765643 0.009366564 0.011456402

25 0.004765005 0.005570579 0.006813299 0.009049433 0.01106824 0.014700854 0.023881643 0.038796036 0.047451122

1 1 1 1 1 1 1 1 1

Matrix T

1 2 3 4 5 6 7 8 9

1 1 0 0 0 0 0 0 0 0

2 -2.349156024 1 0 0 0 0 0 0 0

3 2.13984634 -2.55356305 1 0 0 0 0 0 0

4 -1.212710779 3.291378171 -4.122317945 1 0 0 0 0 0

5 0.738192585 -5.261780214 -114.6114657 2.706381328 1 0 0 0 0

6 0.613527741 -3.946900578 -81.67598327 1.885796426 0.714450693 1 0 0 0

7 0.187520874 -1.116250222 -23.7479066 0.557246538 0.207396408 0.257295097 1 0 0

8 0.058583738 -0.379370377 -7.812845914 0.18303741 0.068350258 0.087545792 0.43994033 1 0

9 0.024188051 -0.162437766 -3.66907521 0.092340151 0.0318873 0.042424766 0.325356315 -5.293075584 1

Page 22

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J&T

10 0.03739612 -0.25904619 -5.935428747 0.14983633 0.051548944 0.052460515 0.572939481 9.337817435 -2.870014407

11 0.085300954 -0.580050498 -12.97597622 0.321212791 0.112874629 0.124847096 2.018585062 -7.090878574 2.772900066

12 0.152152991 -0.972361528 -20.87831519 0.501422519 0.182105821 0.234810963 -13.32980863 2.172400354 -0.994091629

13 0.100660884 -0.610332511 -12.5455508 0.292957208 0.109723396 0.170742897 7.349555454 -0.015208407 0.019629394

14 0.261928209 -1.524876925 -30.14299652 0.687500826 0.264267086 0.484497161 1.191833026 -0.093128824 0.00925601

15 0.496411153 -2.633381532 -48.32155695 1.056567986 0.425500134 1.165454395 -0.25525128 0.500627335 -0.115199578

16 1.256257353 -5.486093057 -87.95391694 1.792901265 0.780323557 5.901446919 -0.270166289 -0.459690152 0.18304666

17 9.085010681 -18.0657137 -203.1295009 3.546760518 1.83402645 -21.62104955 -0.210589705 -0.3748779 0.142327159

18 -21.74736693 288.7349926 -1094.899916 11.3801108 10.67032945 14.99986341 -0.457123775 0.180814119 -0.084941192

19 11.9275423 -325.278146 3537.508646 -277.3296574 -31.41876525 -2.617294261 0.46382268 0.07494418 -0.034192281

20 -1.616552654 99.13528952 -2237.639094 319.3410566 18.88423178 -0.334989724 0.320887052 0.009978702 -0.003740711

21 -0.188049154 0.561486184 236.4632038 -66.60552712 -1.847561659 -0.162023971 0.083392735 0.005972072 -0.001854889

22 -0.441390881 2.417108174 191.5356561 -31.66778597 -1.557334642 -0.59217208 0.203091764 0.000562191 -0.00116012

23 -0.441583063 2.427880155 50.00010289 -0.002276432 -0.43980979 -1.150791166 0.115980408 0.006368677 -0.003775183

24 -1.55100342 4.269566859 75.30468972 -1.367302266 -0.667095239 1.617481971 0.095802101 0.01070785 -0.005224637

25 1.383292926 -33.00739746 -101.7504512 31.47742055 0.593550675 0.339449763 0.341753272 0.026666526 -0.012964663

0 0 0 2.84217E-14 1.44329E-15 7.21645E-16 -7.77156E-16 -8.32667E-17 3.79904E-16

Vector SiE

1 2 3 4 5 6 7 8 9

1 0.153190417 0.13595335 0.119189914 0.107983682 0.120267955 0.184030443 0.529204658 1.095265493 1.036205297

Matrix Tij (inverse)

1 2 3 4 5 6 7 8 9

1 1 -1.15008E-13 -9.47505E-15 -6.53452E-16 -3.26726E-16 -8.78076E-16 -1.32732E-16 0 -2.55255E-17

2 2.349156024 1 -7.492E-14 -5.95954E-15 7.66227E-16 -9.95031E-16 -1.95548E-16 3.39215E-17 -5.25451E-17

3 3.858871681 2.55356305 1 -6.11193E-15 2.54431E-15 -1.80031E-15 -4.59346E-16 2.86302E-17 -1.54021E-16

4 9.388245898 7.235220611 4.122317945 1 8.26525E-15 -5.70874E-15 -1.72972E-15 -1.97682E-16 -5.89039E-16

5 428.485316 278.3481181 103.4549014 -2.706381328 1 -1.95212E-13 -4.89844E-14 3.99132E-15 -1.63281E-14

6 -0.000455037 0.001514504 -0.011295143 0.047779588 -0.714450693 1 -1.30082E-17 -9.57875E-17 -8.39619E-17

7 -0.022916429 -0.002564086 -0.002509526 -0.008246226 -0.023571747 -0.257295097 1 2.00779E-16 3.69354E-16

8 -0.013974106 -0.018521262 -0.010768805 0.001389397 0.004567056 0.025648698 -0.43994033 1 5.98046E-17

9 -0.080748481 -0.109483085 -0.066182132 0.001969151 0.030266095 0.177048313 -2.653993734 5.293075584 1

10 -0.107572121 -0.156992927 -0.102591324 -0.015429632 0.043654482 0.363582359 -4.081857249 5.853385747 2.870014407

11 -0.051444436 -0.130121682 -0.094874982 -0.028167888 0.050194491 0.733684511 -5.056365713 2.84961474 2.344001723

12 -0.358863152 -0.151899491 -0.126114923 -0.151933906 -0.285619844 -2.957692957 9.062021902 1.261915101 1.28865797

Page 23

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J&T

13 -0.169298242 -0.10860542 -0.088708895 -0.075380774 -0.084145788 -1.126522116 1.937853312 0.668341983 0.728590015

14 -0.318268276 -0.217983339 -0.173526291 -0.11511831 -0.035792687 -2.205962955 2.409158613 1.061596202 1.073556313

15 -0.376367847 -0.263176567 -0.201597574 -0.051362597 0.436110307 -3.26612249 1.755321518 0.950933593 0.893006993

16 -0.532740534 -0.367106588 -0.299632452 0.017176049 4.056175371 -9.448662872 1.479918756 0.941781969 0.861744491

17 -2.511043656 0.263118758 -1.791423083 2.494280954 -11.89272053 10.15401113 1.279914101 0.923818791 0.846924406

18 -1113.50829 -544.7412148 -58.01739528 20.12782719 -18.03560402 3.322183299 1.117212737 0.897352498 0.841692637

19 1655.552037 1303.5283 778.1355976 218.5696974 10.79887317 2.053686442 1.011400199 0.879383756 0.848991968

20 18.38102515 16.80839689 13.55207296 8.022837094 3.502583455 1.482546296 0.898563254 0.818694666 0.814850164

21 5.185441361 4.963650928 4.37889126 3.148535805 1.87302519 1.018779199 0.682608283 0.633322607 0.637941712

22 3.408591464 3.35088952 3.130477282 2.558719695 1.848321534 1.215474618 0.891399114 0.833833501 0.842745565

23 1.513319807 1.506606194 1.45456038 1.288578623 1.05230054 0.795061268 0.631835452 0.593335413 0.596012472

24 1.236183634 1.235283745 1.208423484 1.110097293 0.959835485 0.779289722 0.651422476 0.614265739 0.612307032

25 1 1 1 1 1 1 1 1 1

1013.306205 1075.526993 850.4506219 256.2368676 -4.415998133 4.858737371 13.57647269 27.07465189 18.10103787

Matrix TJ

1 2 3 4 5 6 7 8 9

1 0.926264722 0 0 0 0 0 0 0 0

2 -2.175940351 0.934282266 0 0 0 0 0 0 0

3 1.982064174 -2.385748671 0.942146066 0 0 0 0 0 0

4 -1.123291212 3.075076255 -3.883825634 0.947439837 0 0 0 0 0

5 0.683761749 -4.915987939 -107.9807415 2.564133483 0.941638367 0 0 0 0

6 0.568289102 -3.687519215 -76.95070632 1.786678658 0.672754184 0.912091266 0 0 0

7 0.173693971 -1.042892786 -22.37399677 0.527957569 0.195292415 0.234676611 0.767511106 0 0

8 0.05426405 -0.354439016 -7.360842041 0.173416934 0.064361225 0.079849753 0.337659089 0.578317215 0

9 0.022404538 -0.151762724 -3.456804775 0.087486738 0.030026305 0.038695259 0.249714585 -3.061076728 0.595649633

10 0.034638707 -0.242022261 -5.592040843 0.141960908 0.048540463 0.047848778 0.439737415 5.400220569 -1.709523029

11 0.079011265 -0.541930893 -12.22526495 0.304329794 0.106287081 0.113871946 1.549286454 -4.100777146 1.651676908

12 0.140933948 -0.908460131 -19.67042252 0.47506767 0.171477828 0.214169028 -10.23077617 1.256336522 -0.592130314

13 0.093238626 -0.570222842 -11.81974133 0.27755933 0.103319759 0.155733105 5.640865437 -0.008795283 0.011692242

14 0.24261486 -1.424665469 -28.39910559 0.65136567 0.248844028 0.441905629 0.914745084 -0.053858002 0.005513339

15 0.459808138 -2.460321664 -45.52596477 1.0010346 0.400667251 1.063000775 -0.195908193 0.289521406 -0.068618587

16 1.163626867 -5.125559451 -82.86543683 1.698666082 0.734782599 5.382658193 -0.207355627 -0.265846728 0.109031676

17 8.415124889 -16.87847593 -191.3776601 3.360342207 1.726989672 -19.72037046 -0.161629938 -0.216798343 0.08477712

18 -20.14381877 269.759983 -1031.555649 10.78197032 10.0475916 13.68124441 -0.350847574 0.104567917 -0.05059519

19 11.04806165 -303.9016032 3332.849854 -262.7531653 -29.5851148 -2.387211236 0.355989058 0.04334151 -0.020366619

20 -1.497355694 92.6203429 -2108.18287 302.5564385 17.78211718 -0.305541202 0.246284376 0.005770855 -0.002228153

Page 24

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J&T

21 -0.174183297 0.524586584 222.7828772 -63.10472974 -1.739734943 -0.147780649 0.064004851 0.003453752 -0.001104864

22 -0.408844802 2.258261301 180.4545649 -30.00332197 -1.466446049 -0.540114982 0.155875185 0.000325125 -0.000691025

23 -0.409022813 2.268325372 47.10740023 -0.002156783 -0.414141772 -1.049626572 0.089016251 0.003683115 -0.002248686

24 -1.436639751 3.988980598 70.94801716 -1.295436636 -0.628162472 1.475291179 0.073529177 0.006192534 -0.003112053

25 1.281295437 -30.83822608 -95.86378727 29.82296218 0.558910088 0.309609164 0.262299431 0.015421711 -0.007722397

Matrix TJT(inv)

1 2 3 4 5 6 7 8 9

1 0.926264722 -1.06527E-13 -8.7764E-15 -6.05269E-16 -3.02635E-16 -8.13331E-16 -1.22945E-16 0 -2.36433E-17

2 0.018834462 0.934282266 -4.93793E-14 -4.14602E-15 1.42681E-15 9.81001E-16 1.06121E-16 3.16923E-17 6.44994E-18

3 0.013189084 0.02008071 0.942146066 7.16446E-15 -7.85081E-17 -1.06266E-15 -2.29328E-16 -5.39543E-17 -7.0344E-17

4 0.008156104 0.01241886 0.021822607 0.947439837 6.72397E-16 -4.90062E-16 -3.07012E-16 -1.94176E-16 -9.27961E-17

5 0.002442419 0.003719274 0.006536349 0.01570099 0.941638367 2.32784E-16 -8.98033E-17 -6.77353E-18 -1.34157E-17

6 0.00148219 0.002257076 0.003966697 0.009528643 0.021109947 0.912091266 -6.41627E-17 -8.35861E-17 -8.25471E-17

7 0.004225647 0.001248822 0.00179289 0.004305506 0.00953597 0.037199766 0.767511106 1.30779E-16 2.60461E-16

8 0.007151654 0.007266442 0.004544854 0.001065203 0.001994507 0.007804808 0.083234023 0.578317215 1.50512E-16

9 0.002639798 0.002719432 0.002690839 0.002933619 0.00054212 0.001391052 0.015555297 0.091741802 0.595649633

10 0.002981142 0.003083463 0.003158292 0.003597745 0.004613114 0.00125935 0.010869874 0.065871408 0.111654183

11 0.003416056 0.003545974 0.003733097 0.004399313 0.005841006 0.010873649 0.006069573 0.038084339 0.065123997

12 0.002058202 0.002092575 0.002238217 0.002705658 0.003693216 0.007381477 0.025039838 0.009799376 0.016927752

13 0.000565045 0.000572887 0.000615336 0.000747933 0.001026491 0.002078555 0.00783964 0.001528655 0.002651911

14 0.001080413 0.001096751 0.001105443 0.001243627 0.00171595 0.003567772 0.014985728 0.032442916 0.004575711

15 0.00094741 0.000962747 0.000962033 0.001069696 0.001396511 0.002928031 0.012832163 0.032978587 0.035355858

16 0.000808726 0.000822819 0.000823857 0.000918044 0.001197933 0.002349468 0.010470966 0.028047384 0.03115199

17 0.000656319 0.000667916 0.000668955 0.000745643 0.00097276 0.001887867 0.008423275 0.022813767 0.025540304

18 0.000553465 0.00056428 0.000568108 0.000637163 0.000833436 0.001615083 0.00653857 0.018134271 0.020716715

19 0.000473652 0.00048295 0.000487049 0.000547438 0.000716997 0.001390968 0.005612539 0.015174253 0.017389389

20 0.000392491 0.000400236 0.000404643 0.000456274 0.00059878 0.001163819 0.004681674 0.012140386 0.013951207

21 0.00017859 0.000182123 0.000184191 0.000207778 0.000273005 0.000531527 0.002143291 0.005545569 0.006213511

22 0.000405727 0.000413763 0.000418483 0.0004721 0.000620332 0.001208911 0.004882711 0.012648451 0.014166903

23 0.000213979 0.000218235 0.000220767 0.000249105 0.000327363 0.000638482 0.002587317 0.006723927 0.007531198

24 0.000166734 0.000170057 0.000172047 0.000194152 0.00025516 0.000497709 0.002020508 0.005260978 0.005893797

25 0.000715967 0.000730343 0.00073918 0.000834534 0.001097036 0.002140437 0.008701906 0.022746716 0.02550594

1 1 1 1 1 1 1 1 1

Matrix {TJT(inv)} (transpose)

Page 25

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J&T

1 2 3 4 5 6 7 8 9

1 0.926264722 0.018834462 0.013189084 0.008156104 0.002442419 0.00148219 0.004225647 0.007151654 0.002639798

2 -1.06527E-13 0.934282266 0.02008071 0.01241886 0.003719274 0.002257076 0.001248822 0.007266442 0.002719432

3 -8.7764E-15 -4.93793E-14 0.942146066 0.021822607 0.006536349 0.003966697 0.00179289 0.004544854 0.002690839

4 -6.05269E-16 -4.14602E-15 7.16446E-15 0.947439837 0.01570099 0.009528643 0.004305506 0.001065203 0.002933619

5 -3.02635E-16 1.42681E-15 -7.85081E-17 6.72397E-16 0.941638367 0.021109947 0.00953597 0.001994507 0.00054212

6 -8.13331E-16 9.81001E-16 -1.06266E-15 -4.90062E-16 2.32784E-16 0.912091266 0.037199766 0.007804808 0.001391052

7 -1.22945E-16 1.06121E-16 -2.29328E-16 -3.07012E-16 -8.98033E-17 -6.41627E-17 0.767511106 0.083234023 0.015555297

8 0 3.16923E-17 -5.39543E-17 -1.94176E-16 -6.77353E-18 -8.35861E-17 1.30779E-16 0.578317215 0.091741802

9 -2.36433E-17 6.44994E-18 -7.0344E-17 -9.27961E-17 -1.34157E-17 -8.25471E-17 2.60461E-16 1.50512E-16 0.595649633

10 -2.8372E-17 2.12868E-17 3.8306E-18 -3.59017E-16 8.05116E-17 3.74616E-17 3.85024E-19 7.91763E-17 2.55337E-17

11 -1.08759E-16 -3.1602E-17 -1.83653E-16 2.18652E-16 -1.77946E-16 -2.10036E-16 -5.73216E-18 -2.86006E-17 -6.53315E-18

12 -4.72867E-17 -1.50639E-17 -1.67347E-16 -7.58498E-17 -1.21659E-16 -1.7336E-16 2.17133E-16 3.78834E-17 1.02549E-17

13 3.31007E-17 -4.73092E-17 -2.05205E-16 2.95802E-17 -2.05471E-16 -2.63157E-16 -9.94581E-18 -7.64001E-18 -6.25232E-18

14 2.8372E-17 7.29837E-18 -1.2044E-16 -2.65596E-16 -5.54656E-17 -8.08779E-17 -1.6203E-16 -1.08587E-17 -6.31576E-18

15 -9.45733E-18 9.78841E-18 -6.83251E-17 -3.45774E-16 -5.62549E-17 -1.52932E-17 4.1457E-17 1.0128E-17 -2.87328E-18

16 -7.56587E-17 1.04407E-16 -1.8322E-16 -6.17603E-17 -6.36009E-17 2.37405E-17 -6.30684E-17 -5.22126E-18 -5.90698E-18

17 -2.8372E-17 -6.67695E-18 -1.42789E-17 -1.70624E-16 -2.58734E-18 3.36442E-17 -8.32425E-18 -9.26485E-21 5.3719E-19

18 -7.56587E-17 -5.84044E-17 7.96466E-17 -4.58638E-17 -5.75879E-18 -9.0589E-18 -6.72989E-18 5.96176E-19 8.9586E-19

19 -5.96897E-17 4.20366E-17 -2.97991E-17 7.53626E-17 7.86285E-17 5.32266E-17 1.6436E-17 3.64409E-18 2.16844E-18

20 -3.02965E-17 8.54606E-18 -2.88721E-20 -3.8048E-18 3.69945E-18 4.95502E-18 7.86295E-18 4.43645E-18 5.07086E-19

21 -1.1899E-16 -2.41952E-18 -1.6943E-18 -1.04775E-18 -3.13759E-19 -1.90406E-19 -5.42836E-19 -9.18718E-19 -3.39115E-19

22 0 0 0 0 0 0 0 0 0

23 0 0 0 0 0 0 0 0 0

24 0 0 0 0 0 0 0 0 0

25 0 0 0 0 0 0 0 0 0

0.926264722 0.953116727 0.97541586 0.989837408 0.970037399 0.950435819 0.825819707 0.691378705 0.715863593

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J&T

10 11 12 13 14 15 16 17 18

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0.634553334 0 0 0 0 0 0 0 0

0 0.708358772 0 0 0 0 0 0 0

0 0 0.786499644 0 0 0 0 0 0

0 0 0 0.825208928 0 0 0 0 0

0 0 0 0 0.850080088 0 0 0 0

0 0 0 0 0 0.878303024 0 0 0

0 0 0 0 0 0 0.901665945 0 0

0 0 0 0 0 0 0 0.920776171 0

0 0 0 0 0 0 0 0 0.936031551

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

10 11 12 13 14 15 16 17 18

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

Page 27

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J&T

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0.431299292 0 0 0 0 0 0 0 0

0.079511094 0.381636433 0 0 0 0 0 0 0

0.010630268 0.051023038 0.18152734 0 0 0 0 0 0

0.011204097 0.053777296 0.191326312 0.293468379 0 0 0 0 0

0.004787721 0.022980046 0.081757316 0.125404534 0.290973255 0 0 0 0

0.084756766 0.009624316 0.034240935 0.052520908 0.121863055 0.285757113 0 0 0

0.077230819 0.009000945 0.014389138 0.022070969 0.051210761 0.120084296 0.281238948 0 0

0.058896684 0.093201957 0.005849113 0.008971738 0.020816918 0.048813665 0.114322224 0.268413963 0

0.048925205 0.076994346 0.056378545 0.005834027 0.00925295 0.021697275 0.050815293 0.119307811 0.269902749

0.03885891 0.060967902 0.088215397 0.100112992 0.006575991 0.009087844 0.021283847 0.049971751 0.11304803

0.017210978 0.02696681 0.038904389 0.044074549 0.05651759 0.002419929 0.005667505 0.013306577 0.030102654

0.038632632 0.060476344 0.087075986 0.098531969 0.125889158 0.107307093 0.009030529 0.016618104 0.037594119

0.019812733 0.030995475 0.044566158 0.050387365 0.064210139 0.082228138 0.105611409 0.005097765 0.008434461

0.015217398 0.023800897 0.034204187 0.03866014 0.049218915 0.062919576 0.080554211 0.103541351 0.004359067

0.063025403 0.098554195 0.141565184 0.15996243 0.203471269 0.25968507 0.331476034 0.423742677 0.53655892

1 1 1 1 1 1 1 1 1

10 11 12 13 14 15 16 17 18

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

Page 28

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J&T

1 0 0 0 0 0 0 0 0

-1.78288366 1 0 0 0 0 0 0 0

0.924416248 -1.25753077 1 0 0 0 0 0 0

-0.052413276 0.243837365 -0.907415142 1 0 0 0 0 0

-0.03952669 0.139777058 0.067035818 -1.898727724 1 0 0 0 0

-0.009446743 0.019937566 -0.008526601 1.052740272 -1.447019568 1 0 0 0

-0.10979664 0.004377695 -0.000571284 -0.130284404 0.574794583 -1.412473581 1 0 0

-0.077610042 -0.005309754 -0.00010262 -0.009659343 -0.03132781 0.540736998 -1.38804875 1 0

0.083635174 -0.112391408 -2.47145E-05 -0.001716236 -0.003356272 -0.025123066 0.505754927 -1.34823245 1

0.031246941 -0.027502194 -0.067287221 -0.003019856 -0.000765733 -0.003419995 -0.012169418 0.48061699 -1.358912222

0.001896372 0.006591721 -0.014414918 -0.120572403 -0.003854148 -0.000710923 -0.001428719 -0.019071012 0.483853276

0.001850744 -0.002002113 -0.009396294 0.061129394 -0.070912503 -0.000123713 -0.000197651 -0.001547643 -0.00901527

0.004748999 -0.006099956 -0.020983392 0.035045559 0.000419233 -0.130861518 -0.002885494 -0.001351918 -0.006399175

0.005264065 -0.003643146 -0.010295853 0.00089535 -0.007609428 0.050661837 -0.129196881 -0.00196513 -0.000202413

0.005476586 -0.002692677 -0.00795468 0.001450761 -0.004061563 -0.007812009 0.046920882 -0.127616135 -0.001289629

0.013141922 0.002650613 -0.020063099 0.012718629 -0.006306792 -0.010874031 -0.018748896 0.019167296 -0.108034567

-2.42861E-17 -3.46945E-17 0 0 2.42861E-17 -8.67362E-17 3.1225E-17 -1.14492E-16 1.38778E-16

10 11 12 13 14 15 16 17 18

0.909667876 0.689609147 0.480326017 0.384237358 0.324849425 0.25952723 0.207022353 0.165076601 0.13221219

10 11 12 13 14 15 16 17 18

-3.06306E-17 -1.17417E-16 -5.10509E-17 3.57356E-17 3.06306E-17 -1.02102E-17 -8.16815E-17 -3.06306E-17 -8.16815E-17

-4.85543E-17 -3.07289E-16 -1.35021E-16 3.25913E-17 7.91502E-17 -1.33026E-17 -7.84851E-17 -7.84851E-17 -2.52748E-16

-5.4446E-17 -7.26044E-16 -4.1213E-16 -2.10457E-16 8.15234E-18 -8.47261E-17 -2.21375E-16 -1.4946E-16 -3.83645E-16

-4.80848E-16 -1.88733E-15 -1.39179E-15 -8.94912E-16 -4.67491E-16 -6.81202E-16 -8.14771E-16 -5.74347E-16 -8.97584E-16

-5.07987E-15 -7.98265E-14 -4.42674E-14 -2.17709E-14 2.53993E-15 -7.98265E-15 -2.35851E-14 -1.59653E-14 -4.2816E-14

-4.07984E-17 -7.71621E-17 -9.66744E-17 -1.23578E-16 -5.76499E-17 1.00518E-17 7.50927E-17 3.01553E-17 -8.86921E-18

-9.90856E-18 7.00118E-17 3.47582E-16 8.10937E-17 -1.79919E-16 6.50575E-17 -8.5005E-17 -1.92956E-17 -2.86827E-18

1.37982E-16 -4.82295E-17 -1.03762E-16 -1.43311E-17 1.01144E-16 -1.47904E-17 4.12477E-17 8.54351E-18 7.80859E-18

7.58276E-16 -2.6937E-16 -6.43794E-16 -9.56263E-17 5.95308E-16 -1.01014E-16 2.39739E-16 5.3874E-17 4.57929E-17

1 -3.51488E-16 -1.06765E-15 -1.62563E-16 8.78721E-16 -1.75744E-16 3.60276E-16 8.78721E-17 6.15105E-17

1.78288366 1 -1.51752E-15 -2.70327E-16 9.95293E-16 -2.58039E-16 4.30065E-16 1.10588E-16 4.91503E-17

1.317614813 1.25753077 1 8.67838E-16 -1.57193E-15 6.38598E-16 -8.02341E-16 -1.63743E-16 0

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J&T

0.813303255 0.897265097 0.907415142 1 -2.5714E-16 1.56017E-16 -2.08023E-16 -5.20058E-17 5.77842E-18

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0.001174396 -0.001418214 -0.007390182 0.050444522 -0.060281307 -0.000108658 -0.000178215 -0.001425032 -0.008438577

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10 11 12 13 14 15 16 17 18

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19 20 21 22 23 24 25

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0.290523683 -0.992763134 0.965007722 0 0 0 0

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19 20 21 22 23 24 25

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0.001121429 0.017195229 0.007864622 0.017768342 0.009234 0.007108 0.030061 1

0.001526133 0.001049217 0.008346116 0.01897077 0.009933 0.007659 0.032202 1

0.002784985 0.001191921 0.000322486 0.012917971 0.010138 0.007842 0.032895 1

0.005096768 0.002181633 0.000590325 0.000932417 0.01029 0.008 0.033548 1

0.009387464 0.004018697 0.001087505 0.001369121 0.00042 0.008142 0.034231 1

0.016810999 0.007197256 0.001947779 0.002452242 0.000561 0.000289 0.034711 1

0.948402474 0.013328787 0.003607336 0.004541735 0.001038 0.000428 0.028653 1

2.43639E-19 0.95859086 0.006645614 0.00836718 0.001913 0.000788 0.023695 1

-6.08464E-20 -5.04203E-20 0.965007722 0.010977083 0.00251 0.001034 0.020471 1

0 0 0 0.971965731 0.006868 0.002829 0.018337 1

0 0 0 0 0.978715 0.004966 0.016319 1

0 0 0 0 0 0.982898 0.017102 1

0 0 0 0 0 0 1 1

1.082143752 1.093037317 1.035206992 1.140177869 1.078744 1.068582 1.479985

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J&T

Page 39

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J&T

Page 40

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J&T

Formula Too Long !

-0.506691

-1.613372 4.660509

0.781624 -30.50697 75.50577

Page 41

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C

Mill Discharge Grate Model

Grate Paramaters Bpf D50, micr m

0.4 51000 2

Size Fraction 1 2 3 4 5 6 7 8 9 10 11

Bottom-Size 254000 203200 152400 101600 76200 50800 25400 12700 9525 6350 3353

Classifier Efficiency 1 1 1 1 0.872274 0.698324 0.494759 0.425238 0.41433 0.406412 0.401795

Page 42

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C

12 13 14 15 16 17 18 19 20 21 22 23 24 25

1999 1679 1191 841 594 419 300 212 150 125 75 53 38 0

0.400638 0.40045 0.400227 0.400113 0.400056 0.400028 0.400014 0.400007 0.400004 0.400002 0.400001 0.4 0.4 0.4

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Solution of the Model Equations by Stepwise Time Integration

Last Iteration D(Time), min 0.337

Total Rocks Fines % Fines tons

Make-up Feed, tons 15.2704 11.3031 3.9672 25.98 1 304800

Internal Feed, tons 148.8649 139.4221 9.4428 6.34 2 254000 14.27

To the Grate, tons 148.8649 135.2149 13.6500 9.17 3 203200 18.19

Internal Recycle, tons 133.5944 128.1188 5.4756 4.10 4 152400 31.62

Mill Discharge, tons 15.2704 7.0961 8.1743 53.53 5 101600 46.02

Actual 15.2704 7.0961 8.1743 53.53 6 76200 10.91

7 50800 3.83

Net Feedrate, ton/hr 2720 2014 707 8 25400 1.84

Mill Discharge, ton/hr 2720 1264 1456 9 12700 0.94

10 9525 0.49

Internal Recycle Ratio 8.749 11 6350 0.65

12 3353 0.84

Sp. Energy, KWH/ton 4.87 13 1999 0.64

14 1679 0.16

15 1191 0.37

16 841 0.33

17 594 0.32

18 419 0.28

19 300 0.27

20 212 0.23

21 150 0.20

22 125 0.09

23 75 0.23

24 53 0.12

25 38 0.11

0.63

Total 133.59

Internal Size Distribution

Page 44

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% Retained % Passing tons % Retained % Passing

100.00 100.00

10.68 89.32 0.00 0.00 100.00

13.62 75.70 0.00 0.00 100.00

23.67 52.03 0.00 0.00 100.00

34.45 17.58 0.00 0.00 100.00

8.17 9.41 1.60 10.46 89.54

2.86 6.55 1.65 10.82 78.71

1.38 5.17 1.88 12.33 66.39

0.70 4.46 1.27 8.33 58.06

0.37 4.10 0.69 4.53 53.53

0.49 3.61 0.95 6.24 47.30

0.63 2.98 1.25 8.21 39.08

0.48 2.50 0.96 6.27 32.81

0.12 2.38 0.23 1.54 31.28

0.28 2.10 0.56 3.68 27.60

0.25 1.86 0.49 3.22 24.38

0.24 1.62 0.47 3.10 21.28

0.21 1.41 0.41 2.71 18.57

0.20 1.21 0.40 2.64 15.92

0.17 1.04 0.35 2.29 13.64

0.15 0.89 0.31 2.01 11.63

0.07 0.82 0.14 0.93 10.70

0.17 0.65 0.34 2.23 8.47

0.09 0.55 0.18 1.21 7.26

0.08 0.47 0.16 1.06 6.20

0.47 0.95 6.20

100.00 15.27 100.00

Internal Size Distribution Discharge Size Distribution

Page 45

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Page 46

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Mill

Matrix Z = {TJT(inv)} (transpose)

1 2 3 4 5 6 7 8

1 0.926264722 0.018834462 0.013189084 0.008156104 0.002442419 0.00148219 0.004225647 0.007151654

2 -1.06527E-13 0.934282266 0.02008071 0.01241886 0.003719274 0.002257076 0.001248822 0.007266442

3 -8.7764E-15 -4.93793E-14 0.942146066 0.021822607 0.006536349 0.003966697 0.00179289 0.004544854

4 -6.05269E-16 -4.14602E-15 7.16446E-15 0.947439837 0.01570099 0.009528643 0.004305506 0.001065203

5 -3.02635E-16 1.42681E-15 -7.85081E-17 6.72397E-16 0.941638367 0.021109947 0.00953597 0.001994507

6 -8.13331E-16 9.81001E-16 -1.06266E-15 -4.90062E-16 2.32784E-16 0.912091266 0.037199766 0.007804808

7 -1.22945E-16 1.06121E-16 -2.29328E-16 -3.07012E-16 -8.98033E-17 -6.41627E-17 0.767511106 0.083234023

8 0 3.16923E-17 -5.39543E-17 -1.94176E-16 -6.77353E-18 -8.35861E-17 1.30779E-16 0.578317215

9 -2.36433E-17 6.44994E-18 -7.0344E-17 -9.27961E-17 -1.34157E-17 -8.25471E-17 2.60461E-16 1.50512E-16

10 -2.8372E-17 2.12868E-17 3.8306E-18 -3.59017E-16 8.05116E-17 3.74616E-17 3.85024E-19 7.91763E-17

11 -1.08759E-16 -3.1602E-17 -1.83653E-16 2.18652E-16 -1.77946E-16 -2.10036E-16 -5.73216E-18 -2.86006E-17

12 -4.72867E-17 -1.50639E-17 -1.67347E-16 -7.58498E-17 -1.21659E-16 -1.7336E-16 2.17133E-16 3.78834E-17

13 3.31007E-17 -4.73092E-17 -2.05205E-16 2.95802E-17 -2.05471E-16 -2.63157E-16 -9.94581E-18 -7.64001E-18

14 2.8372E-17 7.29837E-18 -1.2044E-16 -2.65596E-16 -5.54656E-17 -8.08779E-17 -1.6203E-16 -1.08587E-17

15 -9.45733E-18 9.78841E-18 -6.83251E-17 -3.45774E-16 -5.62549E-17 -1.52932E-17 4.1457E-17 1.0128E-17

16 -7.56587E-17 1.04407E-16 -1.8322E-16 -6.17603E-17 -6.36009E-17 2.37405E-17 -6.30684E-17 -5.22126E-18

17 -2.8372E-17 -6.67695E-18 -1.42789E-17 -1.70624E-16 -2.58734E-18 3.36442E-17 -8.32425E-18 -9.26485E-21

18 -7.56587E-17 -5.84044E-17 7.96466E-17 -4.58638E-17 -5.75879E-18 -9.0589E-18 -6.72989E-18 5.96176E-19

19 -5.96897E-17 4.20366E-17 -2.97991E-17 7.53626E-17 7.86285E-17 5.32266E-17 1.6436E-17 3.64409E-18

20 -3.02965E-17 8.54606E-18 -2.88721E-20 -3.8048E-18 3.69945E-18 4.95502E-18 7.86295E-18 4.43645E-18

21 -1.1899E-16 -2.41952E-18 -1.6943E-18 -1.04775E-18 -3.13759E-19 -1.90406E-19 -5.42836E-19 -9.18718E-19

22 0 0 0 0 0 0 0 0

23 0 0 0 0 0 0 0 0

24 0 0 0 0 0 0 0 0

25 0 0 0 0 0 0 0 0

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9 10 11 12 13 14 15 16 17 18

0.002639798 0.002981142 0.003416056 0.002058202 0.000565045 0.001080413 0.00094741 0.000808726 0.000656319 0.000553465

0.002719432 0.003083463 0.003545974 0.002092575 0.000572887 0.001096751 0.000962747 0.000822819 0.000667916 0.00056428

0.002690839 0.003158292 0.003733097 0.002238217 0.000615336 0.001105443 0.000962033 0.000823857 0.000668955 0.000568108

0.002933619 0.003597745 0.004399313 0.002705658 0.000747933 0.001243627 0.001069696 0.000918044 0.000745643 0.000637163

0.00054212 0.004613114 0.005841006 0.003693216 0.001026491 0.00171595 0.001396511 0.001197933 0.00097276 0.000833436

0.001391052 0.00125935 0.010873649 0.007381477 0.002078555 0.003567772 0.002928031 0.002349468 0.001887867 0.001615083

0.015555297 0.010869874 0.006069573 0.025039838 0.00783964 0.014985728 0.012832163 0.010470966 0.008423275 0.00653857

0.091741802 0.065871408 0.038084339 0.009799376 0.001528655 0.032442916 0.032978587 0.028047384 0.022813767 0.018134271

0.595649633 0.111654183 0.065123997 0.016927752 0.002651911 0.004575711 0.035355858 0.03115199 0.025540304 0.020716715

2.55337E-17 0.634553334 0.131586508 0.034732625 0.005475923 0.005992406 0.002729267 0.029819261 0.027806664 0.023705425

-6.53315E-18 -8.2703E-18 0.708358772 0.098264551 0.015678825 0.017202859 0.007869083 0.00347929 0.002909683 0.026446803

1.02549E-17 1.99684E-19 1.50233E-18 0.786499644 0.03512539 0.038589208 0.017688913 0.007833755 0.003438944 0.001446531

-6.25232E-18 -9.0169E-19 -2.34447E-17 -3.26652E-17 0.825208928 0.047223562 0.021648115 0.009587579 0.004209004 0.001770491

-6.31576E-18 -2.5305E-18 -1.83746E-17 -1.90299E-17 2.85811E-17 0.850080088 0.04083914 0.018099664 0.007950109 0.003345533

-2.87328E-18 2.85649E-18 -1.77189E-18 -8.39995E-18 -4.0028E-18 2.80212E-17 0.878303024 0.032999509 0.014500366 0.006103804

-5.90698E-18 1.34072E-18 -1.1577E-17 -2.42519E-17 -1.13344E-17 -5.40867E-17 -1.05105E-16 0.901665945 0.026525925 0.011168532

5.3719E-19 -2.3687E-20 2.01153E-18 3.32162E-18 -1.39431E-17 -9.90035E-18 -6.71103E-20 4.15685E-17 0.920776171 0.020567798

8.9586E-19 -7.9897E-19 1.2106E-19 -1.4045E-18 -7.65901E-18 -9.80376E-18 -3.77992E-18 -1.36827E-17 1.60858E-16 0.936031551

2.16844E-18 3.88312E-18 2.00458E-18 8.56933E-18 -3.59761E-18 2.12303E-18 1.04076E-17 1.1541E-17 -7.59441E-17 -1.02401E-18

5.07086E-19 7.2972E-19 2.84055E-18 7.86798E-19 -6.71984E-18 4.04488E-18 2.76573E-19 1.69457E-18 2.85646E-19 2.95573E-19

-3.39115E-19 -3.8296E-19 -4.38835E-19 -2.64401E-19 -7.2587E-20 -1.38792E-19 -1.21707E-19 -1.03891E-19 -8.43123E-20 -7.10995E-20

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

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19 20 21 22 23 24 25

0.000473652 0.000392491 0.000179 0.000406 0.000213979 0.000166734 0.000715967

0.00048295 0.000400236 0.000182 0.000414 0.000218235 0.000170057 0.000730343

0.000487049 0.000404643 0.000184 0.000418 0.000220767 0.000172047 0.00073918

0.000547438 0.000456274 0.000208 0.000472 0.000249105 0.000194152 0.000834534

0.000716997 0.00059878 0.000273 0.00062 0.000327363 0.00025516 0.001097036

0.001390968 0.001163819 0.000532 0.001209 0.000638482 0.000497709 0.002140437

0.005612539 0.004681674 0.002143 0.004883 0.002587317 0.002020508 0.008701906

0.015174253 0.012140386 0.005546 0.012648 0.006723927 0.005260978 0.022746716

0.017389389 0.013951207 0.006214 0.014167 0.007531198 0.005893797 0.02550594

0.02003876 0.016201728 0.007221 0.016182 0.00849905 0.006649668 0.028805638

0.022862183 0.018970066 0.00851 0.019112 0.009864131 0.007586074 0.032885188

0.011837325 0.018922414 0.008596 0.019383 0.01005005 0.007731109 0.032857158

0.001121429 0.017195229 0.007865 0.017768 0.009234293 0.007107619 0.030060787

0.001526133 0.001049217 0.008346 0.018971 0.009932509 0.007658544 0.032202175

0.002784985 0.001191921 0.000322 0.012918 0.010138066 0.00784242 0.032895448

0.005096768 0.002181633 0.00059 0.000932 0.010290014 0.008000044 0.033548398

0.009387464 0.004018697 0.001088 0.001369 0.00042033 0.008141851 0.034231064

0.016810999 0.007197256 0.001948 0.002452 0.000560684 0.00028887 0.03471062

0.948402474 0.013328787 0.003607 0.004542 0.001038492 0.000427836 0.02865334

2.43639E-19 0.95859086 0.006646 0.008367 0.001913291 0.00078825 0.023694806

-6.08464E-20 -5.04203E-20 0.965008 0.010977 0.002510106 0.001034134 0.020470955

0 0 0 0.971966 0.006867663 0.002829488 0.018337119

0 0 0 0 0.978714714 0.004966449 0.016318836

0 0 0 0 0 0.98289837 0.01710163

0 0 0 0 0 0 1

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1 2 3 4 5 6 7 8

Mesh Opening 304800 254000 203200 152400 101600 76200 50800 25400

Rock or Fines 1 1 1 1 1 1 1 1

Fresh Feed, °/1 0.0744 0.0634 0.0862 0.0925 0.0811 0.0778 0.1413 0.0932

Iteration 1 Cummulative Energy, KWH/ton 0.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Initial Charge, tons 14.01378198 11.94185185 16.23639794 17.42304884 15.27577579 14.65419675 26.61488433 17.55489894

To the Grate, tons 12.98047187 11.42100244 15.72168826 17.12421313 14.842585 13.96658332 21.296277 12.79175261

Internal Recycle, tons 12.98047187 11.42100244 15.72168826 17.12421313 12.94680527 9.753197391 10.53652179 5.439538172

Mill Discharge, tons 0 0 0 0 1.895779733 4.213385932 10.7597552 7.352214438

Actual 0 0 0 0 1.895779733 4.213385932 10.7597552 7.352214438

Iteration 2 Cummulative Energy, KWH/ton 1 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 4.138271233 3.526430056 4.79460995 5.145028079 4.510938132 4.327385779 7.859378027 5.183963426

Internal Feed, tons 17.1187431 14.9474325 20.51629821 22.26924121 17.4577434 14.08058317 18.39589982 10.6235016

To the Grate, tons 15.85648781 14.28754341 19.85528524 21.87173769 17.02003655 13.56399728 15.03299659 8.167641251

Internal Recycle, tons 15.85648781 14.28754341 19.85528524 21.87173769 14.84614027 9.472061977 7.437708301 3.473190712

Mill Discharge, tons 0 0 0 0 2.173896282 4.091935299 7.595288291 4.694450539

Actual 0 0 0 0 2.173896282 4.091935299 7.595288291 4.694450539

Iteration 3 Cummulative Energy, KWH/ton 1.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 3.086935807 2.630534008 3.576530465 3.837924223 3.364925994 3.228005454 5.862688569 3.866967973

Internal Feed, tons 18.94342362 16.91807742 23.4318157 25.70966191 18.21106626 12.70006743 13.30039687 7.340158686

To the Grate, tons 17.546625 16.16304889 22.66576639 25.23430896 17.81425511 12.37224347 11.10818168 5.879720569

Internal Recycle, tons 17.546625 16.16304889 22.66576639 25.23430896 15.5389167 8.639831942 5.495871338 2.500280098

Mill Discharge, tons 0 0 0 0 2.275338413 3.732411526 5.612310343 3.37944047

Actual 0 0 0 0 2.275338413 3.732411526 5.612310343 3.37944047

Iteration 4 Cummulative Energy, KWH/ton 2 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 2.458201044 2.094757342 2.848077017 3.056231137 2.6795713 2.570538189 4.668599564 3.079359373

Internal Feed, tons 20.00482605 18.25780623 25.5138434 28.29054009 18.218488 11.21037013 10.1644709 5.579639471

To the Grate, tons 18.52976463 17.4347247 24.66824223 27.75026585 17.88295012 11.05110835 8.666981082 4.618491783

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9 10 11 12 13 14 15 16 17 18

12700 9525 6350 3353 1999 1679 1191 841 594 419

1 0 0 0 0 0 0 0 0 0

0.0303 0.0457 0.0525 0.0325 0.0042 0.0165 0.0115 0.0114 0.0107 0.0104

0.426144402

9 10 11 12 13 14 15 16 17 18

5.707225727 8.607927912 9.888757448 6.121611754 0.791100596 3.107895198 2.166108774 2.147273046 2.015422947 1.958915761

5.61696419 7.82657732 9.815309636 7.32230584 1.404571146 4.278083213 3.501660923 3.46258702 3.115335296 3.080319782

2.327274823 3.18081116 3.943738137 2.933597388 0.5624612 1.712203203 1.401060254 1.385230106 1.24622155 1.232172231

3.289689367 4.645766161 5.871571499 4.388708453 0.842109947 2.565880011 2.100600669 2.077356914 1.869113746 1.848147552

3.289689367 4.645766161 5.871571499 4.388708453 0.842109947 2.565880011 2.100600669 2.077356914 1.869113746 1.848147552

0.831086434

9 10 11 12 13 14 15 16 17 18

1.685344333 2.54192198 2.920151072 1.807712568 0.233612086 0.917761765 0.639652139 0.634089947 0.595154599 0.578468022

4.012619155 5.72273314 6.863889208 4.741309956 0.796073286 2.629964968 2.040712394 2.019320053 1.841376149 1.810640252

3.886313089 5.319456967 6.933811263 5.576035852 1.228223976 3.412759118 2.938555767 2.908070407 2.593229008 2.579058301

1.610214753 2.161888574 2.785967731 2.233974456 0.49184289 1.365877381 1.175754529 1.163392185 1.037364381 1.031660426

2.276098336 3.157568393 4.147843532 3.342061395 0.736381086 2.046881738 1.762801238 1.744678222 1.555864626 1.547397875

2.276098336 3.157568393 4.147843532 3.342061395 0.736381086 2.046881738 1.762801238 1.744678222 1.555864626 1.547397875

1.215768982

9 10 11 12 13 14 15 16 17 18

1.257179502 1.896142021 2.178281315 1.348459862 0.174262505 0.684602699 0.477147336 0.472998229 0.443954478 0.431507156

2.867394255 4.058030595 4.964249046 3.582434318 0.666105395 2.05048008 1.652901865 1.636390413 1.481318859 1.463167582

2.850280358 3.898417835 5.167208387 4.257247817 0.997795414 2.646518392 2.324434358 2.298132204 2.043039801 2.03400132

1.180955671 1.584361905 2.076156284 1.70561724 0.39956766 1.05920737 0.930036535 0.919382502 0.817273258 0.813629792

1.669324687 2.31405593 3.091052103 2.551630577 0.598227754 1.587311023 1.394397823 1.378749703 1.225766543 1.220371528

1.669324687 2.31405593 3.091052103 2.551630577 0.598227754 1.587311023 1.394397823 1.378749703 1.225766543 1.220371528

1.585456406

9 10 11 12 13 14 15 16 17 18

1.0011222 1.509943383 1.734617672 1.07381094 0.138769414 0.545165554 0.379963871 0.376659837 0.353531602 0.343619501

2.182077871 3.094305289 3.810773956 2.77942818 0.538337073 1.604372924 1.310000406 1.296042339 1.17080486 1.157249293

2.249329122 3.081623662 4.103956319 3.377151729 0.813188299 2.100231262 1.856544558 1.830586756 1.624147042 1.614283052

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19 20 21 22 23 24 25 Total Rocks Fines

300 212 150 125 75 53 38

0 0 0 0 0 0 0

0.0081 0.007 0.003 0.0077 0.0039 0.004 0.0307 1.0000 0.7402 0.2598

19 20 21 22 23 24 25

1.525694006 1.318500993 0.565072 1.450351 0.73459341 0.753429139 5.782568641 188.3573 139.4221 48.9352

2.568656105 2.241805902 1.011744 2.477055 1.308612489 1.21222563 7.968897111 188.3573 125.7615 62.5957

1.027480897 0.896730424 0.4047 0.990824 0.523445583 0.484890532 3.187558845 123.3638 98.2507 25.1131

1.541175208 1.345075478 0.607044 1.486231 0.785166906 0.727335098 4.781338267 64.9934 27.5108 37.4826

1.541175208 1.345075478 0.607044 1.486231 0.785166906 0.727335098 4.781338267 64.9934 27.5108 37.4826

19 20 21 22 23 24 25

0.450537594 0.389353476 0.166866 0.428289 0.216925508 0.222487701 1.707593103 55.6219 41.1713 14.4506

1.478018491 1.2860839 0.571566 1.419113 0.740371092 0.707378233 4.895151947 178.9858 139.4221 39.5637

2.201928925 1.937972134 0.891241 2.159134 1.161467581 1.046884973 6.555896144 178.9858 129.5420 49.4437

0.88078739 0.775195824 0.356499 0.863655 0.464587554 0.418754231 2.622358457 128.5399 108.7104 19.8296

1.321141535 1.16277631 0.534742 1.295478 0.696880027 0.628130742 3.933537686 50.4458 20.8317 29.6142

1.321141535 1.16277631 0.534742 1.295478 0.696880027 0.628130742 3.933537686 50.4458 20.8317 29.6142

Deficit -5.1761

19 20 21 22 23 24 25

0.336077689 0.290437509 0.124473 0.319481 0.161815183 0.165964291 1.273775931 41.4911 30.7117 10.7794

1.216865079 1.065633333 0.480972 1.183137 0.626402737 0.584718522 3.896134389 170.0310 139.4221 30.6089

1.755864177 1.553550016 0.721145 1.740591 0.94547737 0.842766842 5.170382641 170.0310 131.6344 38.3966

0.702358286 0.621425594 0.28846 0.696238 0.378191372 0.337106931 2.068153056 130.3628 114.9656 15.3972

1.053505891 0.932124421 0.432685 1.044353 0.567285997 0.50565991 3.102229584 39.6682 16.6688 22.9994

1.053505891 0.932124421 0.432685 1.044353 0.567285997 0.50565991 3.102229584 39.6682 16.6688 22.9994

Deficit -1.8228

19 20 21 22 23 24 25

0.267626727 0.231282356 0.099121 0.254411 0.128857313 0.132161346 1.014338334 33.0403 24.4565 8.5839

0.969985013 0.85270795 0.387581 0.950648 0.507048685 0.469268278 3.08249139 163.4031 139.4221 23.9810

1.40024034 1.241822637 0.578886 1.394821 0.76119937 0.674837476 4.097730182 163.4031 132.8519 30.5512

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Mill

Internal Recycle, tons 18.52976463 17.4347247 24.66824223 27.75026585 15.59883758 7.717251863 4.288065705 1.963957803

Mill Discharge, tons 0 0 0 0 2.284112532 3.333856491 4.378915376 2.65453398

Actual 0 0 0 0 2.284112532 3.333856491 4.378915376 2.65453398

Iteration 5 Cummulative Energy, KWH/ton 2.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 2.064443001 1.759216214 2.391868101 2.566679807 2.250353863 2.158785827 3.920776829 2.58610333

Internal Feed, tons 20.59420763 19.19394092 27.06011033 30.31694565 17.84919145 9.87603769 8.208842535 4.550061133

To the Grate, tons 19.075688 18.32043942 26.15162318 29.72033956 17.58205109 9.854708528 7.128012706 3.869346828

Internal Recycle, tons 19.075688 18.32043942 26.15162318 29.72033956 15.3363711 6.881777403 3.526647461 1.645392966

Mill Discharge, tons 0 0 0 0 2.245679989 2.972931125 3.601365244 2.223953862

Actual 0 0 0 0 2.245679989 2.972931125 3.601365244 2.223953862

Iteration 6 Cummulative Energy, KWH/ton 3 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.807185352 1.539993969 2.093808835 2.246836627 1.969929194 1.889771779 3.432194761 2.263839715

Internal Feed, tons 20.88287335 19.86043339 28.24543202 31.96717619 17.30630029 8.771549182 6.958842222 3.909232681

To the Grate, tons 19.34306887 18.94856838 27.28556022 31.32033198 17.10768578 8.858212255 6.133642233 3.399051438

Internal Recycle, tons 19.34306887 18.94856838 27.28556022 31.32033198 14.92259444 6.185900349 3.034673857 1.445405537

Mill Discharge, tons 0 0 0 0 2.185091343 2.672311906 3.098968376 1.953645902

Actual 0 0 0 0 2.185091343 2.672311906 3.098968376 1.953645902

Iteration 7 Cummulative Energy, KWH/ton 3.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.632620886 1.391238766 1.89155807 2.029804193 1.779644541 1.707229905 3.100663054 2.045164874

Internal Feed, tons 20.97568976 20.33980715 29.17711829 33.35013617 16.70223898 7.893130254 6.135336911 3.49057041

To the Grate, tons 19.42904143 19.39818693 28.17419511 32.65764548 16.56869177 8.062355325 5.471771087 3.090182128

Internal Recycle, tons 19.42904143 19.39818693 28.17419511 32.65764548 14.45244382 5.630134522 2.707207241 1.314062596

Mill Discharge, tons 0 0 0 0 2.116247949 2.432220803 2.764563846 1.776119532

Actual 0 0 0 0 2.116247949 2.432220803 2.764563846 1.776119532

Iteration 8 Cummulative Energy, KWH/ton 4 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.510167043 1.286889658 1.749682784 1.877559832 1.646163269 1.579180053 2.868099505 1.891768393

Internal Feed, tons 20.93920848 20.68507659 29.9238779 34.53520531 16.09860709 7.209314575 5.575306747 3.205830989

To the Grate, tons 19.39525011 19.72007894 28.88420384 33.80071374 16.0249717 7.440889876 5.01746592 2.879262089

Internal Recycle, tons 19.39525011 19.72007894 28.88420384 33.80071374 13.97817079 5.196150415 2.482435734 1.224371399

Page 53

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Mill

0.931963754 1.252407346 1.648947374 1.353016892 0.325641651 0.840568665 0.742827717 0.732337952 0.649704398 0.645736446

1.317365368 1.829216315 2.455008945 2.024134837 0.487546649 1.259662597 1.11371684 1.098248804 0.974442644 0.968546606

1.317365368 1.829216315 2.455008945 2.024134837 0.487546649 1.259662597 1.11371684 1.098248804 0.974442644 0.968546606

1.944915125

9 10 11 12 13 14 15 16 17 18

0.840761061 1.268078564 1.456764215 0.901806419 0.116541137 0.457840182 0.319100733 0.316325944 0.296902421 0.288578054

1.772724815 2.52048591 3.105711589 2.254823311 0.442182788 1.298408846 1.06192845 1.048663895 0.946606819 0.9343145

1.892773104 2.596155092 3.454626872 2.810252429 0.683410225 1.735701287 1.534861491 1.507911764 1.335165797 1.323141852

0.784232023 1.055107329 1.388050327 1.125895226 0.273671958 0.694674029 0.614118122 0.603249755 0.53410379 0.529275777

1.108541081 1.541047764 2.066576546 1.684357204 0.409738268 1.041027258 0.920743369 0.904662009 0.801062007 0.793866075

1.108541081 1.541047764 2.066576546 1.684357204 0.409738268 1.041027258 0.920743369 0.904662009 0.801062007 0.793866075

2.297566484

9 10 11 12 13 14 15 16 17 18

0.735990809 1.110058744 1.275231599 0.789429085 0.102018528 0.400787074 0.279336445 0.276907433 0.259904345 0.252617307

1.520222832 2.165166073 2.663281926 1.915324311 0.375690486 1.095461103 0.893454568 0.880157188 0.794008135 0.781893085

1.672909953 2.295394185 3.045889623 2.444515442 0.59593945 1.496053585 1.320433413 1.292410248 1.141962418 1.128009252

0.6931362 0.932874632 1.223821918 0.97936692 0.238644243 0.598760616 0.528322649 0.517036994 0.456817016 0.45121993

0.979773753 1.362519553 1.822067705 1.465148522 0.357295207 0.897292969 0.792110765 0.775373254 0.685145402 0.676789322

0.979773753 1.362519553 1.822067705 1.465148522 0.357295207 0.897292969 0.792110765 0.775373254 0.685145402 0.676789322

2.645679928

9 10 11 12 13 14 15 16 17 18

0.664898022 1.002832991 1.152051029 0.713174446 0.092164082 0.36207318 0.252354035 0.250159652 0.234798972 0.228215823

1.358034222 1.935707623 2.375872947 1.692541366 0.330808326 0.960833796 0.780676684 0.767196646 0.691615988 0.679435753

1.531647003 2.100932315 2.779101261 2.203922705 0.537276964 1.337113543 1.177482825 1.148682928 1.012967755 0.997630892

0.634606771 0.853843089 1.116627802 0.882976214 0.215152822 0.535148565 0.471126252 0.459537959 0.405215531 0.39906671

0.897040232 1.247089226 1.662473458 1.32094649 0.322124142 0.801964979 0.706356573 0.689144968 0.607752225 0.598564182

0.897040232 1.247089226 1.662473458 1.32094649 0.322124142 0.801964979 0.706356573 0.689144968 0.607752225 0.598564182

2.990721546

9 10 11 12 13 14 15 16 17 18

0.615027707 0.927616047 1.065642067 0.659683184 0.085251365 0.334916078 0.233426357 0.231396563 0.217188002 0.211098619

1.249634478 1.781459135 2.182269869 1.542659398 0.300404188 0.870064643 0.70455261 0.690934523 0.622403533 0.610165329

1.437294913 1.970038639 2.598500643 2.041258824 0.49741132 1.22951483 1.080691417 1.051427127 0.925624219 0.909376069

0.595513902 0.800646391 1.044063454 0.817806806 0.199188605 0.492084685 0.432398746 0.420630154 0.370275665 0.363763511

Page 54

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Mill

0.560106196 0.496733521 0.231556 0.55793 0.30448009 0.269935146 1.639092073 131.1341 118.8831 12.2510

0.840134144 0.745089115 0.34733 0.836891 0.45671928 0.40490233 2.458638109 32.2690 13.9688 18.3002

0.840134144 0.745089115 0.34733 0.836891 0.45671928 0.40490233 2.458638109 32.2690 13.9688 18.3002

Deficit -0.7713

19 20 21 22 23 24 25

0.224757907 0.194235229 0.083244 0.213659 0.10821677 0.110991559 0.851860217 27.7479 20.5390 7.2089

0.784864104 0.69096875 0.314799 0.771588 0.41269686 0.380926705 2.49095229 158.8820 139.4221 19.4599

1.149219901 1.019415628 0.475768 1.145073 0.62576921 0.553066362 3.33746305 158.8820 133.5950 25.2870

0.459696217 0.407769918 0.190308 0.45803 0.250307965 0.221226672 1.33498522 131.5830 121.4425 10.1405

0.689523684 0.61164571 0.28546 0.687043 0.375461245 0.331839689 2.00247783 27.2990 12.1525 15.1465

0.689523684 0.61164571 0.28546 0.687043 0.375461245 0.331839689 2.00247783 27.2990 12.1525 15.1465

Deficit -0.4489

19 20 21 22 23 24 25

0.196750018 0.17003088 0.07287 0.187034 0.09473149 0.097160503 0.745706859 24.2901 17.9796 6.3106

0.656446235 0.577800798 0.263179 0.645064 0.345039455 0.318387175 2.080692079 155.8731 139.4221 16.4510

0.979350177 0.867860815 0.404852 0.973476 0.531738546 0.468990737 2.817200861 155.8731 134.0690 21.8041

0.391747107 0.347147448 0.161942 0.389391 0.212695657 0.187596403 1.126880344 131.9235 123.1792 8.7443

0.58760307 0.520713367 0.24291 0.584085 0.319042889 0.281394334 1.690320517 23.9496 10.8898 13.0598

0.58760307 0.520713367 0.24291 0.584085 0.319042889 0.281394334 1.690320517 23.9496 10.8898 13.0598

Deficit -0.3405

19 20 21 22 23 24 25

0.177745016 0.153606804 0.065831 0.168967 0.085580934 0.087775316 0.673675554 21.9438 16.2428 5.7010

0.569492123 0.500754251 0.227773 0.558359 0.298276591 0.275371719 1.800555898 153.8673 139.4221 14.4453

0.865283618 0.765669007 0.356788 0.857171 0.467615816 0.411780934 2.464197982 153.8673 134.3837 19.4836

0.346119664 0.306270357 0.142716 0.342869 0.187046536 0.164712469 0.985679193 132.2116 124.3975 7.8141

0.519163954 0.45939865 0.214072 0.514302 0.28056928 0.247068465 1.478518789 21.6557 9.9862 11.6695

0.519163954 0.45939865 0.214072 0.514302 0.28056928 0.247068465 1.478518789 21.6557 9.9862 11.6695

Deficit -0.2881

19 20 21 22 23 24 25

0.164413347 0.142085609 0.060894 0.156294 0.079161982 0.081191777 0.623146885 20.2979 15.0245 5.2734

0.510533011 0.448355966 0.20361 0.499163 0.266208519 0.245904245 1.608826078 152.5096 139.4221 13.0875

0.787916817 0.696213345 0.324042 0.777908 0.423781372 0.372692491 2.22304816 152.5096 134.6001 17.9094

0.315172388 0.278487842 0.129618 0.311164 0.169512739 0.149077082 0.889219264 132.4600 125.2769 7.1831

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Mill

Mill Discharge, tons 0 0 0 0 2.046800917 2.244739461 2.535030187 1.65489069

Actual 0 0 0 0 2.046800917 2.244739461 2.535030187 1.65489069

Iteration 9 Cummulative Energy, KWH/ton 4.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.421779103 1.211569827 1.647276327 1.767668912 1.549815662 1.48675288 2.7002337 1.781045866

Internal Feed, tons 20.81702921 20.93164877 30.53148016 35.56838265 15.52798645 6.682903294 5.182669434 3.005417265

To the Grate, tons 19.28207977 19.94814578 29.45999383 34.79491222 15.50846548 6.961339365 4.696417978 2.73021188

Internal Recycle, tons 19.28207977 19.94814578 29.45999383 34.79491222 13.52763569 4.861268884 2.323594419 1.160989599

Mill Discharge, tons 0 0 0 0 1.980829792 2.10007048 2.372823559 1.569222281

Actual 0 0 0 0 1.980829792 2.10007048 2.372823559 1.569222281

Iteration 10 Cummulative Energy, KWH/ton 5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.356424225 1.155877633 1.571556024 1.686414527 1.478575332 1.418411354 2.576112138 1.699176583

Internal Feed, tons 20.63850399 21.10402341 31.03154986 36.48132675 15.00621102 6.279680238 4.899706556 2.860166183

To the Grate, tons 19.11671816 20.10582992 29.93223935 35.67146927 15.03494955 6.593355683 4.463553525 2.621691791

Internal Recycle, tons 19.11671816 20.10582992 29.93223935 35.67146927 13.11459992 4.604297126 2.208382667 1.114842743

Mill Discharge, tons 0 0 0 0 1.920349633 1.989058558 2.255170858 1.506849048

Actual 0 0 0 0 1.920349633 1.989058558 2.255170858 1.506849048

Iteration 11 Cummulative Energy, KWH/ton 5.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.307123433 1.113865936 1.514436021 1.62511986 1.424834818 1.366857569 2.482480391 1.637418064

Internal Feed, tons 20.42384159 21.21969586 31.44667537 37.29658913 14.53943474 5.971154694 4.690863058 2.752260808

To the Grate, tons 18.91788394 20.20985758 30.3228398 36.45262616 14.61083485 6.311456539 4.290827336 2.54062684

Internal Recycle, tons 18.91788394 20.20985758 30.3228398 36.45262616 12.74465557 4.407440247 2.122924854 1.080370853

Mill Discharge, tons 0 0 0 0 1.86617928 1.904016292 2.167902482 1.460255987

Actual 0 0 0 0 1.86617928 1.904016292 2.167902482 1.460255987

Iteration 12 Cummulative Energy, KWH/ton 6 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.269317522 1.081649609 1.470634011 1.578116543 1.383624342 1.327323968 2.41067965 1.590059047

Internal Feed, tons 20.18720147 21.29150719 31.79347381 38.03074271 14.12827991 5.734764215 4.533604504 2.6704299

To the Grate, tons 18.69869255 20.27249265 30.64789555 37.1547223 14.23715853 6.095349861 4.160287615 2.478735938

Internal Recycle, tons 18.69869255 20.27249265 30.64789555 37.1547223 12.41870733 4.256527813 2.05833917 1.054052495

Mill Discharge, tons 0 0 0 0 1.818451207 1.838822048 2.101948445 1.424683443

Page 56

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Mill

0.841781011 1.169392247 1.554437189 1.223452018 0.298222715 0.737430145 0.648292671 0.630796973 0.555348554 0.545612558

0.841781011 1.169392247 1.554437189 1.223452018 0.298222715 0.737430145 0.648292671 0.630796973 0.555348554 0.545612558

3.333637288

9 10 11 12 13 14 15 16 17 18

0.579031006 0.873323992 1.003271545 0.621072861 0.080261724 0.315313914 0.219764243 0.21785325 0.204476296 0.198743316

1.174544908 1.673970383 2.047334999 1.438879667 0.279450329 0.807398599 0.652162989 0.638483403 0.574751961 0.562506827

1.372046238 1.878714657 2.472081843 1.928003574 0.469725792 1.154792158 1.013644208 0.984143318 0.865187168 0.848358982

0.568479441 0.763531273 0.993269067 0.772432396 0.188101922 0.462178675 0.405572282 0.393712835 0.346099148 0.339355799

0.803566797 1.115183384 1.478812776 1.155571177 0.28162387 0.692613483 0.608071926 0.590430483 0.519088019 0.509003184

0.803566797 1.115183384 1.478812776 1.155571177 0.28162387 0.692613483 0.608071926 0.590430483 0.519088019 0.509003184

3.675045363

9 10 11 12 13 14 15 16 17 18

0.552414705 0.833179934 0.957154191 0.592524023 0.076572335 0.300819889 0.209662347 0.207839196 0.19507714 0.189607687

1.120894146 1.596711207 1.950423258 1.36495642 0.264674257 0.762998564 0.615234629 0.601552031 0.541176288 0.528963486

1.325539572 1.813003992 2.380976408 1.846918895 0.450025381 1.101520146 0.966022783 0.936426571 0.822333644 0.805139285

0.549210351 0.736825702 0.956663397 0.739946755 0.180212883 0.440857793 0.386518328 0.374623445 0.328956536 0.322067298

0.776329222 1.07617829 1.42431301 1.10697214 0.269812498 0.660662353 0.579504455 0.561803126 0.493377108 0.483071987

0.776329222 1.07617829 1.42431301 1.10697214 0.269812498 0.660662353 0.579504455 0.561803126 0.493377108 0.483071987

4.015358254

9 10 11 12 13 14 15 16 17 18

0.53233656 0.802897055 0.922365326 0.570988059 0.073789226 0.289886245 0.202041929 0.200285042 0.187986838 0.182716179

1.08154691 1.539722757 1.879028723 1.310934814 0.254002109 0.730744038 0.588560257 0.574908487 0.516943374 0.504783477

1.291528729 1.764489608 2.313696936 1.787417055 0.435672847 1.062598428 0.931367963 0.901754676 0.791207141 0.773780155

0.53511865 0.717108898 0.929630871 0.716108029 0.174465404 0.425280281 0.372652482 0.360752731 0.316505061 0.309523195

0.756410079 1.04738071 1.384066065 1.071309026 0.261207443 0.637318147 0.558715481 0.541001945 0.474702079 0.46425696

0.756410079 1.04738071 1.384066065 1.071309026 0.261207443 0.637318147 0.558715481 0.541001945 0.474702079 0.46425696

4.354858048

9 10 11 12 13 14 15 16 17 18

0.516939797 0.779674876 0.895687768 0.55447338 0.071655021 0.28150187 0.196198273 0.194492201 0.182549697 0.177431482

1.052058447 1.496783774 1.825318639 1.270581409 0.246120425 0.706782151 0.568850755 0.555244932 0.499054759 0.486954676

1.266116202 1.72790848 2.263008045 1.742833544 0.424994523 1.033542386 0.905592521 0.87600071 0.76809681 0.750519939

0.524589486 0.702241906 0.909264349 0.698246159 0.170189264 0.413651277 0.362339392 0.350449692 0.30726028 0.300218774

0.741526715 1.025666574 1.353743695 1.044587384 0.254805259 0.619891109 0.54325313 0.525551017 0.460836529 0.450301165

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0.472744429 0.417725503 0.194424 0.466744 0.254268633 0.223615409 1.333828896 20.0496 9.3232 10.7263

0.472744429 0.417725503 0.194424 0.466744 0.254268633 0.223615409 1.333828896 20.0496 9.3232 10.7263

Deficit -0.2484

19 20 21 22 23 24 25

0.154790467 0.133769539 0.05733 0.147146 0.074528743 0.076439737 0.586674979 19.1099 14.1452 4.9648

0.469962855 0.412257381 0.186947 0.45831 0.244041482 0.225516819 1.475894243 151.5699 139.4221 12.1479

0.734422582 0.648161186 0.301374 0.723021 0.393398805 0.345592026 2.055698549 151.5699 134.7536 16.8163

0.29377431 0.259266806 0.12055 0.289209 0.157359698 0.13823689 0.82227942 132.6720 125.9271 6.7449

0.440648273 0.388894381 0.180824 0.433812 0.236039106 0.207355136 1.23341913 18.8979 8.8265 10.0714

0.440648273 0.388894381 0.180824 0.433812 0.236039106 0.207355136 1.23341913 18.8979 8.8265 10.0714

Deficit -0.2120

19 20 21 22 23 24 25

0.147675218 0.127620559 0.054695 0.140383 0.071102883 0.072926034 0.559707308 18.2315 13.4950 4.7365

0.441449528 0.386887365 0.175245 0.429592 0.228462581 0.211162924 1.381986728 150.9035 139.4221 11.4815

0.696569009 0.614170591 0.285348 0.684206 0.371922606 0.326423969 1.937183677 150.9035 134.8653 16.0382

0.278632608 0.245670445 0.11414 0.273683 0.14876921 0.130569663 0.774873471 132.8506 126.4176 6.4330

0.417936401 0.368500145 0.171208 0.410523 0.223153397 0.195854306 1.162310206 18.0529 8.4478 9.6052

0.417936401 0.368500145 0.171208 0.410523 0.223153397 0.195854306 1.162310206 18.0529 8.4478 9.6052

Deficit -0.1786

19 20 21 22 23 24 25

0.142307793 0.122982043 0.052707 0.13528 0.068518567 0.070275453 0.539364105 17.5689 13.0045 4.5644

0.420940401 0.368652489 0.166846 0.408963 0.217287777 0.200845116 1.314237576 150.4195 139.4221 10.9974

0.669144271 0.589565616 0.273761 0.656136 0.356409987 0.312568568 1.851411918 150.4195 134.9485 15.4710

0.267662516 0.235828367 0.109505 0.262455 0.142564155 0.125027499 0.740564767 132.9994 126.7937 6.2056

0.401481755 0.353737249 0.164256 0.393681 0.213845832 0.187541069 1.110847151 17.4201 8.1548 9.2653

0.401481755 0.353737249 0.164256 0.393681 0.213845832 0.187541069 1.110847151 17.4201 8.1548 9.2653

Deficit -0.1488

19 20 21 22 23 24 25

0.138191827 0.119425036 0.051182 0.131368 0.066536806 0.068242878 0.523764085 17.0607 12.6283 4.4324

0.405854343 0.355253403 0.160687 0.393822 0.209100961 0.193270377 1.264328853 150.0601 139.4221 10.6380

0.648835069 0.571363644 0.2652 0.635396 0.344965697 0.302339662 1.788022788 150.0601 135.0115 15.0486

0.259538689 0.228547513 0.106081 0.254159 0.137986434 0.120935934 0.715209115 133.1223 127.0860 6.0363

0.38929638 0.342816131 0.15912 0.381237 0.206979263 0.181403727 1.072813673 16.9377 7.9254 9.0123

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Actual 0 0 0 0 1.818451207 1.838822048 2.101948445 1.424683443

Iteration 13 Cummulative Energy, KWH/ton 6.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.239937295 1.056613232 1.436594016 1.541588706 1.351598314 1.296601096 2.35488091 1.553254783

Internal Feed, tons 19.93862984 21.32910588 32.08448956 38.69631101 13.77030564 5.553128908 4.41322008 2.607307278

To the Grate, tons 18.46844942 20.30293873 30.91955147 37.79009851 13.91196121 5.929337833 4.060104755 2.430606448

Internal Recycle, tons 18.46844942 20.30293873 30.91955147 37.79009851 12.13504606 4.140597664 2.008772812 1.033586011

Mill Discharge, tons 0 0 0 0 1.776915147 1.788740169 2.051331943 1.397020437

Actual 0 0 0 0 1.776915147 1.788740169 2.051331943 1.397020437

Iteration 14 Cummulative Energy, KWH/ton 7 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.216859135 1.036947166 1.409855611 1.512896102 1.32644188 1.272468289 2.311051019 1.524345046

Internal Feed, tons 19.68530855 21.3398859 32.32940708 39.30299461 13.46148794 5.413065953 4.319823831 2.557931057

To the Grate, tons 18.23380685 20.30823913 31.14717494 38.36830722 13.6317144 5.801469756 3.982261118 2.392594502

Internal Recycle, tons 18.23380685 20.30823913 31.14717494 38.36830722 11.89059397 4.051304344 1.970258983 1.017421891

Mill Discharge, tons 0 0 0 0 1.741120424 1.750165412 2.012002135 1.375172612

Actual 0 0 0 0 1.741120424 1.750165412 2.012002135 1.375172612

Iteration 15 Cummulative Energy, KWH/ton 7.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.198577017 1.02136805 1.38867391 1.490166319 1.306513389 1.253350698 2.276329739 1.501443253

Internal Feed, tons 19.43238386 21.32960718 32.53584885 39.85847354 13.19710736 5.304655042 4.246588722 2.518865144

To the Grate, tons 17.99953163 20.29387222 31.33813099 38.89690466 13.39217846 5.702721821 3.92117851 2.36217935

Internal Recycle, tons 17.99953163 20.29387222 31.33813099 38.89690466 11.68165294 3.982346312 1.940037821 1.004488215

Mill Discharge, tons 0 0 0 0 1.710525526 1.720375509 1.981140689 1.357691135

Actual 0 0 0 0 1.710525526 1.720375509 1.981140689 1.357691135

Iteration 16 Cummulative Energy, KWH/ton 8 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.18399924 1.008945589 1.371784065 1.472042065 1.290622827 1.238106732 2.248643717 1.483181843

Internal Feed, tons 19.18353087 21.3028178 32.70991505 40.36894672 12.97227576 5.220453044 4.188681539 2.487670058

To the Grate, tons 17.76902788 20.26415636 31.49830668 39.3819835 13.18891366 5.626301002 3.872882729 2.337573728

Internal Recycle, tons 17.76902788 20.26415636 31.49830668 39.3819835 11.50435027 3.928979836 1.916143056 0.994024972

Mill Discharge, tons 0 0 0 0 1.684563384 1.697321166 1.956739674 1.343548757

Actual 0 0 0 0 1.684563384 1.697321166 1.956739674 1.343548757

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0.741526715 1.025666574 1.353743695 1.044587384 0.254805259 0.619891109 0.54325313 0.525551017 0.460836529 0.450301165

4.693742667

9 10 11 12 13 14 15 16 17 18

0.504974463 0.76162815 0.874955752 0.541639275 0.06999646 0.274986094 0.191656974 0.189990392 0.178324315 0.173324568

1.029563949 1.463870056 1.784220102 1.239885435 0.240185724 0.68863737 0.553996366 0.540440084 0.485584596 0.473543342

1.246788703 1.699853272 2.224197591 1.708852122 0.416907382 1.011453772 0.88605923 0.856504657 0.750609284 0.732934169

0.51658153 0.690839946 0.89367052 0.684631895 0.166950764 0.404810823 0.354523867 0.342650171 0.300264779 0.293184213

0.730207172 1.009013325 1.330527072 1.024220227 0.249956618 0.606642949 0.531535363 0.513854485 0.450344505 0.439749956

0.730207172 1.009013325 1.330527072 1.024220227 0.249956618 0.606642949 0.531535363 0.513854485 0.450344505 0.439749956

5.032154462

9 10 11 12 13 14 15 16 17 18

0.495575696 0.747452453 0.858670761 0.53155809 0.068693661 0.269867953 0.188089786 0.186454222 0.175005279 0.170098589

1.012157227 1.438292399 1.752341281 1.216189985 0.235644425 0.674678777 0.542613652 0.529104394 0.475270058 0.463282801

1.231874885 1.678044931 2.194098699 1.682594009 0.410693209 0.994409892 0.871024904 0.841511242 0.737165191 0.719424605

0.510402293 0.681976786 0.881576948 0.674111884 0.164462295 0.397989407 0.348508437 0.33665196 0.294886765 0.287780193

0.721472591 0.996068145 1.312521751 1.008482124 0.246230913 0.596420485 0.522516468 0.504859282 0.442278426 0.431644413

0.721472591 0.996068145 1.312521751 1.008482124 0.246230913 0.596420485 0.522516468 0.504859282 0.442278426 0.431644413

5.370198163

9 10 11 12 13 14 15 16 17 18

0.488130156 0.736222711 0.845770073 0.52357195 0.067661606 0.265813451 0.185263921 0.18365293 0.172375996 0.167543024

0.99853245 1.418199497 1.727347021 1.197683834 0.232123901 0.663802859 0.533772357 0.52030489 0.46726276 0.455323217

1.220231432 1.660912897 2.170521105 1.662084016 0.405863078 0.98110052 0.859307136 0.829832209 0.726695757 0.708910974

0.505578065 0.67501413 0.872103599 0.665894793 0.162528067 0.392662641 0.343820005 0.331979688 0.290698698 0.283574589

0.714653366 0.985898768 1.298417506 0.996189224 0.243335011 0.588437879 0.515487131 0.497852521 0.43599706 0.425336385

0.714653366 0.985898768 1.298417506 0.996189224 0.243335011 0.588437879 0.515487131 0.497852521 0.43599706 0.425336385

5.707952383

9 10 11 12 13 14 15 16 17 18

0.482193239 0.72726835 0.835483334 0.517203969 0.066838667 0.262580477 0.183010635 0.181419238 0.170279461 0.16550527

0.987771304 1.40228248 1.707586933 1.183098762 0.229366734 0.655243118 0.52683064 0.513398926 0.460978158 0.449079859

1.211056032 1.647345486 2.151910706 1.645931093 0.402075504 0.970609433 0.850083127 0.820642326 0.718459188 0.70064436

0.501776425 0.669500178 0.864626041 0.65942331 0.161011331 0.388463828 0.340129358 0.328303217 0.287403839 0.280267824

0.709279607 0.977845309 1.287284664 0.986507783 0.241064172 0.582145605 0.509953769 0.49233911 0.43105535 0.420376535

0.709279607 0.977845309 1.287284664 0.986507783 0.241064172 0.582145605 0.509953769 0.49233911 0.43105535 0.420376535

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0.38929638 0.342816131 0.15912 0.381237 0.206979263 0.181403727 1.072813673 16.9377 7.9254 9.0123

Deficit -0.1230

19 20 21 22 23 24 25

0.134993173 0.116660767 0.049997 0.128327 0.064996713 0.066663295 0.511640792 16.6658 12.3360 4.3298

0.394531863 0.34520828 0.156078 0.382486 0.202983147 0.18759923 1.226849907 149.7882 139.4221 10.3661

0.633503745 0.557637503 0.258754 0.619775 0.336359509 0.294642524 1.740280897 149.7882 135.0598 14.7283

0.25340605 0.223057007 0.103502 0.247911 0.134543955 0.117857078 0.696112359 133.2235 127.3156 5.9079

0.380097696 0.334580496 0.155252 0.371865 0.201815554 0.176785447 1.044168538 16.5646 7.7442 8.8204

0.380097696 0.334580496 0.155252 0.371865 0.201815554 0.176785447 1.044168538 16.5646 7.7442 8.8204

Deficit -0.1012

19 20 21 22 23 24 25

0.132480632 0.114489435 0.049067 0.125938 0.063786971 0.065422534 0.50211795 16.3556 12.1064 4.2492

0.385886681 0.337546442 0.152569 0.373849 0.198330925 0.183279612 1.198230309 149.5792 139.4221 10.1571

0.621741845 0.547117197 0.253819 0.607816 0.329779938 0.288754628 1.703733791 149.5792 135.0974 14.4817

0.248701205 0.218848847 0.101528 0.243127 0.131912123 0.115501918 0.681493516 133.3066 127.4975 5.8091

0.37304064 0.32826835 0.152291 0.364689 0.197867814 0.17325271 1.022240274 16.2726 7.5999 8.6727

0.37304064 0.32826835 0.152291 0.364689 0.197867814 0.17325271 1.022240274 16.2726 7.5999 8.6727

Deficit -0.0830

19 20 21 22 23 24 25

0.13049024 0.112769343 0.04833 0.124046 0.062828634 0.064439625 0.494574119 16.1099 11.9246 4.1854

0.379191445 0.33161819 0.149858 0.367173 0.194740757 0.179941542 1.176067635 149.4165 139.4221 9.9944

0.61259871 0.538946082 0.24999 0.598537 0.324680439 0.28418898 1.675376015 149.4165 135.1269 14.2895

0.245043885 0.215580371 0.099996 0.239415 0.129872321 0.113675657 0.670150406 133.3746 127.6425 5.7320

0.367554825 0.323365711 0.149993 0.359122 0.194808118 0.170513322 1.005225609 16.0419 7.4844 8.5575

0.367554825 0.323365711 0.149993 0.359122 0.194808118 0.170513322 1.005225609 16.0419 7.4844 8.5575

Deficit -0.0680

19 20 21 22 23 24 25

0.128903143 0.111397778 0.047742 0.122538 0.062064476 0.063655873 0.488558826 15.9140 11.7795 4.1344

0.373947028 0.326978149 0.147738 0.361953 0.191936798 0.177331531 1.158709232 149.2885 139.4221 9.8665

0.605416488 0.53253202 0.246986 0.591258 0.320684338 0.280609688 1.653132047 149.2885 135.1502 14.1383

0.242170945 0.213014724 0.098795 0.236504 0.128273879 0.11224394 0.661252819 133.4301 127.7587 5.6714

0.363245543 0.319517297 0.148191 0.354754 0.192410459 0.168365748 0.991879228 15.8584 7.3915 8.4669

0.363245543 0.319517297 0.148191 0.354754 0.192410459 0.168365748 0.991879228 15.8584 7.3915 8.4669

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Iteration 17 Cummulative Energy, KWH/ton 8.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.172318968 0.998992239 1.358251278 1.457520222 1.277890703 1.225892684 2.226460621 1.468550105

Internal Feed, tons 18.94134685 21.2631486 32.85655796 40.83950372 12.78224097 5.15487252 4.142603676 2.462575077

To the Grate, tons 17.54470136 20.22253272 31.63247495 39.82854015 13.01757727 5.567090913 3.834481689 2.317482193

Internal Recycle, tons 17.54470136 20.22253272 31.63247495 39.82854015 11.35489795 3.887632022 1.8971438 0.985481289

Mill Discharge, tons 0 0 0 0 1.662679322 1.679458891 1.937337888 1.332000904

Actual 0 0 0 0 1.662679322 1.679458891 1.937337888 1.332000904

Iteration 18 Cummulative Energy, KWH/ton 9 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.162929612 0.990991094 1.347372749 1.445846628 1.2676558 1.216074245 2.208628416 1.45678817

Internal Feed, tons 18.70763098 21.21352381 32.9798477 41.27438677 12.62255375 5.103706267 4.105772216 2.442269458

To the Grate, tons 17.3282186 20.17176725 31.7445529 40.24073369 12.87408821 5.521226112 3.803830852 2.300947155

Internal Recycle, tons 17.3282186 20.17176725 31.7445529 40.24073369 11.22973613 3.855603541 1.881979027 0.978449964

Mill Discharge, tons 0 0 0 0 1.64435208 1.665622571 1.921851825 1.322497191

Actual 0 0 0 0 1.64435208 1.665622571 1.921851825 1.322497191

Iteration 19 Cummulative Energy, KWH/ton 9.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.155368161 0.984547599 1.338612035 1.43644563 1.259413412 1.208167243 2.194267756 1.447316029

Internal Feed, tons 18.48358676 21.15631485 33.08316493 41.67717932 12.48914954 5.063770784 4.076246784 2.425765993

To the Grate, tons 17.12069434 20.11409818 31.83778909 40.62207224 12.75470927 5.485771844 3.779313312 2.287248258

Internal Recycle, tons 17.12069434 20.11409818 31.83778909 40.62207224 11.12560495 3.830844982 1.869848757 0.972624674

Mill Discharge, tons 0 0 0 0 1.629104319 1.654926862 1.909464555 1.314623584

Actual 0 0 0 0 1.629104319 1.654926862 1.909464555 1.314623584

Iteration 20 Cummulative Energy, KWH/ton 10 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.149276409 0.97935651 1.33155412 1.42887188 1.252773075 1.201797106 2.182698342 1.439684964

Internal Feed, tons 18.26997075 21.09345469 33.16934321 42.05094412 12.37837802 5.032642087 4.052547099 2.412309638

To the Grate, tons 16.92282937 20.0513457 31.91490193 40.97554961 12.65607879 5.458486066 3.759691835 2.275835033

Internal Recycle, tons 16.92282937 20.0513457 31.91490193 40.97554961 11.03957212 3.811790674 1.860140857 0.967771338

Mill Discharge, tons 0 0 0 0 1.616506671 1.646695392 1.899550978 1.308063696

Actual 0 0 0 0 1.616506671 1.646695392 1.899550978 1.308063696

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6.045477163

9 10 11 12 13 14 15 16 17 18

0.477436354 0.720093775 0.827241207 0.5121017 0.066179297 0.259990094 0.181205217 0.179629519 0.168599637 0.163872544

0.979212779 1.389593952 1.691867249 1.17152501 0.227190628 0.648453921 0.521334575 0.507932736 0.456003475 0.444140368

1.203772722 1.636536982 2.137139611 1.633132364 0.399086217 0.962280473 0.842766398 0.813354445 0.711928056 0.694092834

0.498758734 0.665107477 0.858691096 0.654295647 0.15981427 0.385130355 0.337201839 0.325387653 0.284791203 0.27764712

0.705013988 0.971429505 1.278448515 0.978836717 0.239271947 0.577150118 0.505564559 0.487966792 0.427136854 0.416445714

0.705013988 0.971429505 1.278448515 0.978836717 0.239271947 0.577150118 0.505564559 0.487966792 0.427136854 0.416445714

6.382819045

9 10 11 12 13 14 15 16 17 18

0.473612463 0.714326388 0.820615653 0.508000166 0.065649252 0.257907777 0.179753905 0.178190828 0.167249286 0.162560053

0.972371197 1.379433865 1.679306749 1.162295813 0.225463522 0.643038132 0.516955744 0.503578481 0.452040488 0.440207173

1.197959613 1.627891195 2.125372899 1.622949691 0.396716685 0.955633548 0.836929681 0.807541465 0.706718955 0.688870073

0.49635019 0.66159373 0.853963295 0.650216077 0.15886539 0.382470078 0.334866493 0.323062133 0.282707416 0.27555794

0.701609422 0.966297466 1.271409604 0.972733615 0.237851295 0.57316347 0.502063188 0.484479332 0.424011539 0.413312133

0.701609422 0.966297466 1.271409604 0.972733615 0.237851295 0.57316347 0.502063188 0.484479332 0.424011539 0.413312133

6.720014556

9 10 11 12 13 14 15 16 17 18

0.470533001 0.709681787 0.815279952 0.504697113 0.065222396 0.256230842 0.178585132 0.177032218 0.166161819 0.161503076

0.966883191 1.371275517 1.669243247 1.15491319 0.224087786 0.63870092 0.513451625 0.500094351 0.448869235 0.437061016

1.193302119 1.620958925 2.115981704 1.614829828 0.39483391 0.950310648 0.832255563 0.802886494 0.702547575 0.684689823

0.494420453 0.658776375 0.850189964 0.646962947 0.158111432 0.380339711 0.332996317 0.321199882 0.281038747 0.27388578

0.698881666 0.96218255 1.26579174 0.967866881 0.236722478 0.569970936 0.499259246 0.481686612 0.421508828 0.410804043

0.698881666 0.96218255 1.26579174 0.967866881 0.236722478 0.569970936 0.499259246 0.481686612 0.421508828 0.410804043

7.057092671

9 10 11 12 13 14 15 16 17 18

0.468052086 0.705939945 0.810981337 0.502036066 0.064878507 0.254879849 0.177643531 0.176098805 0.16528572 0.160651541

0.962472539 1.36471632 1.661171301 1.148999013 0.222989939 0.63521956 0.510639848 0.497298687 0.446324467 0.434537321

1.189561925 1.615396331 2.108485102 1.608351445 0.393337135 0.946040292 0.828504142 0.799150253 0.69919934 0.681336181

0.492870779 0.656515673 0.84717787 0.644367458 0.157512047 0.378630601 0.331495325 0.319705175 0.279699359 0.272544275

0.696691145 0.958880658 1.261307232 0.963983988 0.235825088 0.567409691 0.497008818 0.479445078 0.419499981 0.408791906

0.696691145 0.958880658 1.261307232 0.963983988 0.235825088 0.567409691 0.497008818 0.479445078 0.419499981 0.408791906

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Deficit -0.0556

19 20 21 22 23 24 25

0.127631501 0.110298828 0.047271 0.121329 0.061452204 0.063027902 0.483739144 15.7570 11.6633 4.0937

0.369802446 0.323313551 0.146066 0.357832 0.189726083 0.175271841 1.144991963 149.1871 139.4221 9.7650

0.59972884 0.527455795 0.244611 0.585501 0.317525914 0.277779632 1.635535204 149.1871 135.1687 14.0185

0.239895845 0.210984215 0.097845 0.234201 0.127010508 0.111111917 0.654214082 133.4755 127.8522 5.6233

0.359832995 0.31647158 0.146766 0.3513 0.190515406 0.166667715 0.981321122 15.7116 7.3165 8.3951

0.359832995 0.31647158 0.146766 0.3513 0.190515406 0.166667715 0.981321122 15.7116 7.3165 8.3951

Deficit -0.0454

19 20 21 22 23 24 25

0.126609272 0.10941542 0.046892 0.120357 0.06096002 0.062523097 0.479864773 15.6308 11.5699 4.0609

0.366505117 0.320399636 0.144737 0.354558 0.187970528 0.173635014 1.134078854 149.1063 139.4221 9.6842

0.595197704 0.523413892 0.24272 0.580919 0.315013501 0.275527661 1.621525983 149.1063 135.1833 13.9229

0.238083358 0.20936744 0.097089 0.232368 0.126005542 0.110211128 0.648610393 133.5124 127.9274 5.5850

0.357114346 0.314046453 0.145632 0.348551 0.189007959 0.165316533 0.97291559 15.5938 7.2559 8.3379

0.357114346 0.314046453 0.145632 0.348551 0.189007959 0.165316533 0.97291559 15.5938 7.2559 8.3379

Deficit -0.0369

19 20 21 22 23 24 25

0.12578605 0.108703994 0.046587 0.119574 0.060563654 0.062116568 0.476744658 15.5291 11.4947 4.0345

0.363869408 0.318071433 0.143676 0.351942 0.186569195 0.172327696 1.125355051 149.0416 139.4221 9.6195

0.591573008 0.520182063 0.24121 0.577256 0.31300598 0.273727685 1.610323317 149.0416 135.1950 13.8466

0.236633453 0.208074696 0.096484 0.230903 0.125202533 0.109491137 0.644129327 133.5424 127.9880 5.5544

0.354939554 0.312107367 0.144725 0.346353 0.187803448 0.164236548 0.96619399 15.4992 7.2070 8.2922

0.354939554 0.312107367 0.144725 0.346353 0.187803448 0.164236548 0.96619399 15.4992 7.2070 8.2922

Deficit -0.0300

19 20 21 22 23 24 25

0.125122835 0.108130845 0.046342 0.118944 0.060244328 0.061789054 0.474230992 15.4473 11.4341 4.0132

0.361756288 0.316205541 0.142826 0.349847 0.185446861 0.171280192 1.118360319 148.9897 139.4221 9.5676

0.588666416 0.517591593 0.239999 0.57432 0.311397514 0.272285089 1.601340753 148.9897 135.2043 13.7854

0.235470796 0.207038499 0.096 0.229729 0.124559145 0.108914098 0.640536301 133.5667 128.0368 5.5299

0.35319562 0.310553094 0.143999 0.344592 0.186838368 0.16337099 0.960804452 15.4230 7.1675 8.2555

0.35319562 0.310553094 0.143999 0.344592 0.186838368 0.16337099 0.960804452 15.4230 7.1675 8.2555

Deficit -0.0243

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Iteration 21 Cummulative Energy, KWH/ton 10.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.144373897 0.975178832 1.325874059 1.422776687 1.247429074 1.196670554 2.173387523 1.433543646

Internal Feed, tons 18.06720327 21.02652453 33.24077599 42.3983263 12.28700119 5.008461228 4.03352838 2.401314984

To the Grate, tons 16.73501301 19.98499503 31.97818373 41.30374719 12.57521184 5.437643782 3.744007187 2.26628087

Internal Recycle, tons 16.73501301 19.98499503 31.97818373 41.30374719 10.96903395 3.797236011 1.852380739 0.963708545

Mill Discharge, tons 0 0 0 0 1.606177882 1.640407771 1.891626448 1.302572324

Actual 0 0 0 0 1.606177882 1.640407771 1.891626448 1.302572324

Iteration 22 Cummulative Energy, KWH/ton 11 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.140438686 0.971825439 1.321314714 1.417884119 1.243139482 1.192555508 2.165913795 1.428614053

Internal Feed, tons 17.87545169 20.95682047 33.29949844 42.72163131 12.21217344 4.989791519 4.018294533 2.392322598

To the Grate, tons 16.55740029 19.91626022 32.02958011 41.60891112 12.5094836 5.421907746 3.731506929 2.258250915

Internal Recycle, tons 16.55740029 19.91626022 32.02958011 41.60891112 10.91170091 3.786247163 1.846196125 0.960293904

Mill Discharge, tons 0 0 0 0 1.597782697 1.635660583 1.885310804 1.297957011

Actual 0 0 0 0 1.597782697 1.635660583 1.885310804 1.297957011

Iteration 23 Cummulative Energy, KWH/ton 11.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.137293487 0.969145256 1.31767068 1.413973757 1.239711045 1.189266576 2.159940453 1.424674099

Internal Feed, tons 17.69469377 20.88540547 33.34725079 43.02288488 12.15141195 4.975513739 4.006136578 2.384968003

To the Grate, tons 16.3899706 19.84613398 32.07075171 41.89301166 12.45660327 5.410233286 3.721594673 2.251479319

Internal Recycle, tons 16.3899706 19.84613398 32.07075171 41.89301166 10.86557475 3.77809461 1.841291949 0.957414365

Mill Discharge, tons 0 0 0 0 1.591028518 1.632138676 1.880302724 1.294064954

Actual 0 0 0 0 1.591028518 1.632138676 1.880302724 1.294064954

Iteration 24 Cummulative Energy, KWH/ton 12 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.134795504 0.967016599 1.314776511 1.410868066 1.23698811 1.186654438 2.1551963 1.421544906

Internal Feed, tons 17.52476611 20.81315058 33.38552822 43.30387973 12.10256286 4.964749048 3.996488249 2.37895927

To the Grate, tons 16.2325726 19.77542701 32.10312252 42.15778942 12.41458341 5.401798088 3.71379337 2.245752832

Internal Recycle, tons 16.2325726 19.77542701 32.10312252 42.15778942 10.8289219 3.77220411 1.837432185 0.954979245

Mill Discharge, tons 0 0 0 0 1.585661502 1.629593978 1.876361185 1.290773586

Actual 0 0 0 0 1.585661502 1.629593978 1.876361185 1.290773586

Iteration 25 Cummulative Energy, KWH/ton 12.5 Cummulative Time, min

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7.39407657

9 10 11 12 13 14 15 16 17 18

0.466055499 0.70292859 0.807521903 0.499894512 0.064601752 0.253792598 0.17688575 0.175347613 0.164580655 0.159966244

0.958926278 1.359444263 1.654699773 1.144261969 0.2221138 0.632423199 0.508381075 0.495052788 0.444280014 0.432510519

1.186555934 1.61093657 2.102510344 1.603189153 0.392148899 0.942613563 0.825491322 0.796149261 0.696509775 0.678643738

0.491625308 0.654703175 0.844777244 0.642299245 0.157036218 0.377259132 0.330289856 0.318504609 0.278623458 0.271467259

0.694930626 0.956233395 1.2577331 0.960889908 0.235112681 0.565354431 0.495201466 0.477644652 0.417886318 0.407176479

0.694930626 0.956233395 1.2577331 0.960889908 0.235112681 0.565354431 0.495201466 0.477644652 0.417886318 0.407176479

7.730984935

9 10 11 12 13 14 15 16 17 18

0.464452852 0.700511397 0.80474504 0.498175501 0.064379603 0.25291987 0.176277485 0.174744637 0.164014703 0.15941616

0.95607816 1.355214572 1.649522285 1.140474746 0.221415821 0.630179002 0.506567341 0.493249246 0.442638161 0.43088342

1.184141699 1.607370031 2.097765098 1.599088543 0.391208875 0.93986759 0.823073931 0.793740902 0.694351074 0.676484022

0.490625019 0.653253692 0.84287063 0.640656383 0.156659785 0.376160121 0.329322626 0.31754113 0.277759917 0.270603342

0.69351668 0.954116339 1.254894468 0.95843216 0.234549091 0.563707469 0.493751305 0.476199772 0.416591158 0.40588068

0.69351668 0.954116339 1.254894468 0.95843216 0.234549091 0.563707469 0.493751305 0.476199772 0.416591158 0.40588068

8.067832904

9 10 11 12 13 14 15 16 17 18

0.463171944 0.698579467 0.802525646 0.49680159 0.064202052 0.252222346 0.175791332 0.174262712 0.16356237 0.158976509

0.953796963 1.351833159 1.645396276 1.137457973 0.220861836 0.628382467 0.505113958 0.491803841 0.441322286 0.429579851

1.182207144 1.604530325 2.094017705 1.595848542 0.390469548 0.937673948 0.82113931 0.791813001 0.692622731 0.674756038

0.489823475 0.652099603 0.841364948 0.639358314 0.156363721 0.375282167 0.328548559 0.31676986 0.277068531 0.269912123

0.692383668 0.952430722 1.252652757 0.956490229 0.234105827 0.562391781 0.492590751 0.475043141 0.4155542 0.404843915

0.692383668 0.952430722 1.252652757 0.956490229 0.234105827 0.562391781 0.492590751 0.475043141 0.4155542 0.404843915

8.404632806

9 10 11 12 13 14 15 16 17 18

0.462154621 0.697045088 0.800762956 0.495710402 0.064061037 0.251668358 0.175405219 0.173879956 0.163203117 0.158627329

0.951978096 1.349144691 1.642127904 1.135068715 0.220424757 0.626950524 0.503953778 0.490649817 0.440271648 0.428539452

1.180663208 1.602284147 2.091082909 1.593308721 0.389893118 0.935930356 0.819597895 0.790276402 0.691244879 0.673379557

0.489183777 0.65118673 0.840185763 0.638340764 0.156132889 0.374584334 0.327931819 0.316155134 0.276517351 0.269361511

0.691479431 0.951097416 1.250897146 0.954967957 0.233760229 0.561346021 0.491666076 0.474121268 0.414727528 0.404018046

0.691479431 0.951097416 1.250897146 0.954967957 0.233760229 0.561346021 0.491666076 0.474121268 0.414727528 0.404018046

8.74139471

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19 20 21 22 23 24 25

0.124589094 0.107669587 0.046144 0.118437 0.059987341 0.061525478 0.472208046 15.3814 11.3853 3.9961

0.360059889 0.314708086 0.142144 0.348165 0.184546487 0.170439577 1.112744348 148.9480 139.4221 9.5260

0.58633382 0.515513507 0.239028 0.571965 0.310107411 0.271127702 1.594130732 148.9480 135.2116 13.7364

0.234537741 0.206207257 0.095612 0.228787 0.124043103 0.108451143 0.637652293 133.5862 128.0759 5.5103

0.351796079 0.30930625 0.143416 0.343179 0.186064307 0.162676558 0.956478439 15.3619 7.1357 8.2261

0.351796079 0.30930625 0.143416 0.343179 0.186064307 0.162676558 0.956478439 15.3619 7.1357 8.2261

Deficit -0.0195

19 20 21 22 23 24 25

0.124160663 0.107299339 0.045985 0.118029 0.05978106 0.061313908 0.470584243 15.3285 11.3461 3.9823

0.358698404 0.313506596 0.141597 0.346816 0.183824164 0.169765051 1.108236535 148.9147 139.4221 9.4926

0.584463413 0.513847811 0.238249 0.570078 0.309073258 0.270199678 1.588346752 148.9147 135.2174 13.6972

0.233789564 0.205540972 0.0953 0.228032 0.123629442 0.108079934 0.635338701 133.6018 128.1072 5.4945

0.350673848 0.308306838 0.142949 0.342046 0.185443816 0.162119745 0.953008051 15.3129 7.1102 8.2027

0.350673848 0.308306838 0.142949 0.342046 0.185443816 0.162119745 0.953008051 15.3129 7.1102 8.2027

Deficit -0.0156

19 20 21 22 23 24 25

0.123818243 0.107003419 0.045859 0.117704 0.059616191 0.061144811 0.469286425 15.2862 11.3148 3.9714

0.357607807 0.312544392 0.141159 0.345735 0.183245633 0.169224745 1.104625126 148.8880 139.4221 9.4659

0.582967381 0.512516024 0.237627 0.568568 0.308246165 0.269457256 1.583717157 148.8880 135.2220 13.6660

0.233191141 0.205008253 0.095051 0.227428 0.123298604 0.107782965 0.633486863 133.6141 128.1321 5.4820

0.34977624 0.307507771 0.142575 0.34114 0.184947561 0.161674291 0.950230294 15.2739 7.0899 8.1840

0.34977624 0.307507771 0.142575 0.34114 0.184947561 0.161674291 0.950230294 15.2739 7.0899 8.1840

Deficit -0.0123

19 20 21 22 23 24 25

0.123546285 0.106768394 0.045758 0.117445 0.059485248 0.061010511 0.468255672 15.2526 11.2900 3.9626

0.356737426 0.311776647 0.140809 0.344873 0.182783853 0.168793475 1.101742534 148.8667 139.4221 9.4446

0.581776021 0.511455884 0.237131 0.567366 0.307587409 0.26886576 1.580026615 148.8667 135.2255 13.6412

0.232714588 0.204584193 0.094853 0.226947 0.123035102 0.107546366 0.632010646 133.6237 128.1516 5.4721

0.349061433 0.306871691 0.142278 0.340419 0.184552307 0.161319394 0.948015969 15.2430 7.0739 8.1691

0.349061433 0.306871691 0.142278 0.340419 0.184552307 0.161319394 0.948015969 15.2430 7.0739 8.1691

Deficit -0.0096

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1 2 3 4 5 6 7 8

Make-up Feed, tons 1.132828892 0.96534075 1.312497991 1.408423018 1.234844397 1.184597954 2.151461323 1.419081354

Internal Feed, tons 17.36540149 20.74076776 33.41562051 43.56621244 12.0637663 4.956802065 3.988893509 2.374060599

To the Grate, tons 16.08495878 19.70479948 32.12791848 42.40479186 12.38170821 5.395950181 3.70771835 2.240898817

Internal Recycle, tons 16.08495878 19.70479948 32.12791848 42.40479186 10.80024572 3.768120378 1.834426515 0.952915134

Mill Discharge, tons 0 0 0 0 1.581462494 1.627829803 1.873291835 1.287983683

Actual 0 0 0 0 1.581462494 1.627829803 1.873291835 1.287983683

Iteration 26 Cummulative Energy, KWH/ton 13 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.131299087 0.964037125 1.310725555 1.406521042 1.233176827 1.182998239 2.148555927 1.417164985

Internal Feed, tons 17.21625786 20.66883661 33.43864404 43.8113129 12.03342254 4.951118616 3.982982442 2.370080119

To the Grate, tons 15.9468123 19.63478645 32.14619851 42.63540251 12.35650237 5.39216919 3.703057263 2.236776369

Internal Recycle, tons 15.9468123 19.63478645 32.14619851 42.63540251 10.77825931 3.765480022 1.832120401 0.951162113

Mill Discharge, tons 0 0 0 0 1.57824306 1.626689168 1.870936862 1.285614256

Actual 0 0 0 0 1.57824306 1.626689168 1.870936862 1.285614256

Iteration 27 Cummulative Energy, KWH/ton 13.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.130128489 0.9630396 1.309369298 1.405065662 1.231900813 1.181774146 2.146332736 1.415698592

Internal Feed, tons 17.07694079 20.59782605 33.45556781 44.04046817 12.01016012 4.947254168 3.978453137 2.366860705

To the Grate, tons 15.8177678 19.56581857 32.15887977 42.8508645 12.33770179 5.390037292 3.699554972 2.233269647

Internal Recycle, tons 15.8177678 19.56581857 32.15887977 42.8508645 10.76186005 3.763991267 1.830387611 0.949670922

Mill Discharge, tons 0 0 0 0 1.575841742 1.626046025 1.86916736 1.283598725

Actual 0 0 0 0 1.575841742 1.626046025 1.86916736 1.283598725

Iteration 28 Cummulative Energy, KWH/ton 14 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.129253145 0.962293675 1.308355122 1.403977364 1.230946641 1.180858799 2.144670287 1.414602058

Internal Feed, tons 16.94702095 20.52811225 33.46723489 44.25484187 11.99280669 4.944850066 3.975057899 2.36427298

To the Grate, tons 15.69742764 19.49823924 32.16675844 43.05229988 12.32422666 5.389217257 3.697002025 2.230282811

Internal Recycle, tons 15.69742764 19.49823924 32.16675844 43.05229988 10.75010604 3.763418617 1.829124518 0.948400806

Mill Discharge, tons 0 0 0 0 1.574120622 1.62579864 1.867877507 1.281882005

Actual 0 0 0 0 1.574120622 1.62579864 1.867877507 1.281882005

Iteration 29 Cummulative Energy, KWH/ton 14.5 Cummulative Time, min

1 2 3 4 5 6 7 8

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9 10 11 12 13 14 15 16 17 18

0.461353702 0.695837102 0.799375226 0.494851331 0.063950018 0.251232214 0.17510124 0.173578621 0.162920284 0.158352426

0.950537479 1.347023832 1.639560989 1.133192094 0.220082907 0.625816548 0.503033059 0.489733755 0.439437635 0.427713937

1.179438494 1.600523848 2.088811388 1.591340018 0.389449261 0.934554644 0.818377835 0.789059601 0.690153471 0.672290258

0.488676342 0.650471325 0.839273078 0.637552025 0.155955146 0.374033738 0.327443657 0.315668345 0.276080757 0.268925776

0.690762153 0.950052524 1.24953831 0.953787992 0.233494115 0.560520906 0.490934178 0.473391256 0.414072713 0.403364483

0.690762153 0.950052524 1.24953831 0.953787992 0.233494115 0.560520906 0.490934178 0.473391256 0.414072713 0.403364483

9.078126866

9 10 11 12 13 14 15 16 17 18

0.460730676 0.694897423 0.798295727 0.494183069 0.063863658 0.250892943 0.174864778 0.173344215 0.162700272 0.158138582

0.949407018 1.345368748 1.637568805 1.131735094 0.219818804 0.62492668 0.502308435 0.48901256 0.438781029 0.427064358

1.178475318 1.599161908 2.087081965 1.589837869 0.389113465 0.933480298 0.817421044 0.788104797 0.68929674 0.671436168

0.488277269 0.649917816 0.838578205 0.636950207 0.155820677 0.373603756 0.327060832 0.31528637 0.275738041 0.268584128

0.690198049 0.949244091 1.248503759 0.952887662 0.233292789 0.559876542 0.490360212 0.472818427 0.413558699 0.402852041

0.690198049 0.949244091 1.248503759 0.952887662 0.233292789 0.559876542 0.490360212 0.472818427 0.413558699 0.402852041

9.414836035

9 10 11 12 13 14 15 16 17 18

0.460253941 0.694178387 0.7974697 0.493671719 0.063797576 0.250633334 0.174683839 0.173164849 0.16253192 0.15797495

0.948531211 1.344096203 1.636047905 1.130621926 0.219618253 0.62423709 0.501744671 0.488451219 0.438269961 0.426559078

1.177726763 1.598126753 2.085795727 1.588717045 0.388865796 0.932653132 0.816680246 0.787364956 0.688632563 0.670775003

0.487967121 0.649497118 0.838061402 0.636501162 0.155721497 0.373272702 0.326764429 0.314990392 0.275472351 0.268319652

0.689759642 0.948629636 1.247734325 0.952215884 0.233144298 0.55938043 0.489915816 0.472374565 0.413160211 0.402455351

0.689759642 0.948629636 1.247734325 0.952215884 0.233144298 0.55938043 0.489915816 0.472374565 0.413160211 0.402455351

9.751527768

9 10 11 12 13 14 15 16 17 18

0.45989745 0.693640709 0.796852018 0.493289344 0.063748161 0.250439206 0.174548537 0.173030724 0.16240603 0.15785259

0.947864571 1.343137826 1.634913419 1.129790506 0.219469659 0.623711907 0.501312966 0.488021116 0.437878382 0.426172242

1.177154452 1.597359576 2.084871552 1.587907725 0.388689952 0.932028758 0.816116747 0.786801583 0.688126466 0.670272167

0.487729996 0.649185328 0.837690073 0.636176917 0.15565108 0.373022811 0.326538966 0.314765011 0.275269898 0.26811851

0.689424457 0.948174248 1.247181479 0.951730808 0.233038871 0.559005947 0.489577781 0.472036572 0.412856567 0.402153657

0.689424457 0.948174248 1.247181479 0.951730808 0.233038871 0.559005947 0.489577781 0.472036572 0.412856567 0.402153657

10.08820662

9 10 11 12 13 14 15 16 17 18

Page 69

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Mill

19 20 21 22 23 24 25

0.123332178 0.106583364 0.045679 0.117242 0.05938216 0.060904779 0.46744418 15.2262 11.2704 3.9558

0.356046766 0.311167557 0.140532 0.344189 0.182417261 0.168451145 1.099454826 148.8499 139.4221 9.4279

0.58083349 0.510617534 0.236739 0.566415 0.307066025 0.268397455 1.577102809 148.8499 135.2282 13.6217

0.232337569 0.20424885 0.094696 0.226567 0.122826548 0.107359044 0.630841124 133.6311 128.1669 5.4643

0.348495921 0.306368684 0.142043 0.339849 0.184239477 0.161038411 0.946261685 15.2188 7.0613 8.1575

0.348495921 0.306368684 0.142043 0.339849 0.184239477 0.161038411 0.946261685 15.2188 7.0613 8.1575

Deficit -0.0074

19 20 21 22 23 24 25

0.123165626 0.10643943 0.045617 0.117083 0.059301968 0.060822532 0.46681293 15.2056 11.2552 3.9504

0.355503196 0.310688281 0.140313 0.34365 0.182128516 0.168181575 1.097654053 148.8368 139.4221 9.4147

0.580094689 0.509960725 0.236432 0.56567 0.306657043 0.268029969 1.574806699 148.8368 135.2302 13.6066

0.232042043 0.203986124 0.094573 0.226268 0.122662955 0.107212049 0.62992268 133.6367 128.1785 5.4582

0.348052645 0.305974601 0.141859 0.339401 0.183994088 0.160817919 0.944884019 15.2001 7.0517 8.1484

0.348052645 0.305974601 0.141859 0.339401 0.183994088 0.160817919 0.944884019 15.2001 7.0517 8.1484

Deficit -0.0056

19 20 21 22 23 24 25

0.123038182 0.106329293 0.04557 0.116962 0.059240606 0.060759596 0.466329901 15.1899 11.2436 3.9463

0.355080226 0.310315418 0.140143 0.343231 0.181903561 0.167971646 1.096252581 148.8266 139.4221 9.4045

0.579522946 0.509452742 0.236194 0.565093 0.306340188 0.267745131 1.573025312 148.8266 135.2316 13.5950

0.231813342 0.203782929 0.094478 0.226038 0.122536213 0.107098114 0.629210125 133.6408 128.1872 5.4536

0.347709604 0.305669813 0.141716 0.339055 0.183803975 0.160647017 0.943815187 15.1858 7.0444 8.1414

0.347709604 0.305669813 0.141716 0.339055 0.183803975 0.160647017 0.943815187 15.1858 7.0444 8.1414

Deficit -0.0041

19 20 21 22 23 24 25

0.122942883 0.106246936 0.045534 0.116872 0.059194721 0.060712535 0.465968704 15.1781 11.2349 3.9433

0.354756225 0.310029865 0.140013 0.342909 0.181730934 0.167810649 1.095178828 148.8189 139.4221 9.3968

0.57908827 0.509066837 0.236014 0.564654 0.306098896 0.267528094 1.571666302 148.8189 135.2326 13.5863

0.231639469 0.203628566 0.094406 0.225862 0.122439696 0.1070113 0.628666521 133.6436 128.1935 5.4501

0.347448801 0.305438271 0.141608 0.338792 0.1836592 0.160516795 0.942999781 15.1753 7.0391 8.1362

0.347448801 0.305438271 0.141608 0.338792 0.1836592 0.160516795 0.942999781 15.1753 7.0391 8.1362

Deficit -0.0028

19 20 21 22 23 24 25

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Make-up Feed, tons 1.128620156 0.961754273 1.30762174 1.403190382 1.230256649 1.180196884 2.143468119 1.41380912

Internal Feed, tons 16.8260478 20.45999351 33.47438017 44.45549026 11.98036269 4.9436155 3.972592637 2.362209926

To the Grate, tons 15.58537448 19.43231864 32.17052694 43.24072547 12.31515718 5.389435723 3.695225763 2.227736129

Internal Recycle, tons 15.58537448 19.43231864 32.17052694 43.24072547 10.74219496 3.763571177 1.828245697 0.94731786

Mill Discharge, tons 0 0 0 0 1.572962216 1.625864546 1.866980066 1.280418269

Actual 0 0 0 0 1.572962216 1.625864546 1.866980066 1.280418269

Iteration 30 Cummulative Energy, KWH/ton 15 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.128185649 0.961384007 1.307118319 1.402650168 1.229783012 1.17974252 2.142642905 1.413264818

Internal Feed, tons 16.71356013 20.39370265 33.47764526 44.64337564 11.97197798 4.943313697 3.970888602 2.360582678

To the Grate, tons 15.48118112 19.36826563 32.17078835 43.41706609 12.30971185 5.390470343 3.694083391 2.225562955

Internal Recycle, tons 15.48118112 19.36826563 32.17078835 43.41706609 10.73744514 3.764293676 1.827680498 0.946393744

Mill Discharge, tons 0 0 0 0 1.572266707 1.626176666 1.866402893 1.279169211

Actual 0 0 0 0 1.572266707 1.626176666 1.866402893 1.279169211

Iteration 31 Cummulative Energy, KWH/ton 15.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.127913156 0.961151802 1.306802608 1.402311384 1.229485981 1.179457575 2.142125389 1.41292347

Internal Feed, tons 16.60909427 20.32941743 33.47759096 44.81937748 11.96693112 4.943751251 3.969805888 2.359317214

To the Grate, tons 15.38441808 19.30623752 32.16806849 43.58216568 12.30722834 5.392139802 3.693456509 2.223707348

Internal Recycle, tons 15.38441808 19.30623752 32.16806849 43.58216568 10.73527884 3.765459499 1.827370343 0.94560467

Mill Discharge, tons 0 0 0 0 1.571949499 1.626680302 1.866086166 1.278102678

Actual 0 0 0 0 1.571949499 1.626680302 1.866086166 1.278102678

Iteration 32 Cummulative Energy, KWH/ton 16 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.127772326 0.961031794 1.306639442 1.402136292 1.229332468 1.179310308 2.141857925 1.412747053

Internal Feed, tons 16.51219041 20.26726932 33.47470793 44.98430197 11.9646113 4.944769808 3.969228268 2.358351723

To the Grate, tons 15.29465945 19.24634852 32.1628262 43.73679663 12.30714672 5.394296015 3.693246768 2.222122189

Internal Recycle, tons 15.29465945 19.24634852 32.1628262 43.73679663 10.73520764 3.766965234 1.827266572 0.9449306

Mill Discharge, tons 0 0 0 0 1.571939074 1.627330781 1.865980197 1.277191589

Actual 0 0 0 0 1.571939074 1.627330781 1.865980197 1.277191589

Iteration 33 Cummulative Energy, KWH/ton 16.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.127737871 0.961002433 1.306599522 1.402093455 1.22929491 1.179274279 2.141792488 1.412703892

Page 71

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Mill

0.45963966 0.693251897 0.796405352 0.493012837 0.063712428 0.250298825 0.174450696 0.172933734 0.162314996 0.157764108

0.947369656 1.342437225 1.634095425 1.129189754 0.219363509 0.623321636 0.500989662 0.487698744 0.437584894 0.425882618

1.176726841 1.596811862 2.084242646 1.587352472 0.388572548 0.931570653 0.815698728 0.786383022 0.687750103 0.669899219

0.487552823 0.648962731 0.837437382 0.635954461 0.155604066 0.372839465 0.326371711 0.314597563 0.275119343 0.267969326

0.689174017 0.947849131 1.246805264 0.951398011 0.232968482 0.558731188 0.489327017 0.47178546 0.41263076 0.401929893

0.689174017 0.947849131 1.246805264 0.951398011 0.232968482 0.558731188 0.489327017 0.47178546 0.41263076 0.401929893

10.4248763

9 10 11 12 13 14 15 16 17 18

0.459462704 0.692985002 0.796098744 0.492823032 0.0636879 0.250202462 0.174383534 0.172867156 0.162252506 0.15770337

0.947015527 1.341947733 1.633536126 1.128777493 0.219291966 0.623041927 0.500755246 0.487464719 0.437371849 0.425672696

1.176417897 1.59644347 2.083853842 1.587003886 0.388502557 0.931248653 0.815399921 0.786083145 0.687480075 0.669632686

0.487424819 0.648813012 0.837281163 0.635814804 0.155576038 0.372710592 0.326252155 0.314477595 0.275011324 0.267862709

0.688993078 0.947630458 1.246572679 0.951189082 0.232926519 0.558538061 0.489147767 0.47160555 0.412468751 0.401769977

0.688993078 0.947630458 1.246572679 0.951189082 0.232926519 0.558538061 0.489147767 0.47160555 0.412468751 0.401769977

10.76153988

9 10 11 12 13 14 15 16 17 18

0.459351729 0.692817624 0.795906461 0.492704 0.063672517 0.250142031 0.174341415 0.172825403 0.162213317 0.15766528

0.946776548 1.341630636 1.633187624 1.128518804 0.219248555 0.622852622 0.50059357 0.487302998 0.437224641 0.425527988

1.176206072 1.596221105 2.083659471 1.586822747 0.388470868 0.931037777 0.815198578 0.785880316 0.687297008 0.669453136

0.487337053 0.64872264 0.837203066 0.635742233 0.155563348 0.372626194 0.326171595 0.314396452 0.274938092 0.267790886

0.688869018 0.947498464 1.246456405 0.951080514 0.23290752 0.558411584 0.489026983 0.471483864 0.412358916 0.40166225

0.688869018 0.947498464 1.246456405 0.951080514 0.23290752 0.558411584 0.489026983 0.471483864 0.412358916 0.40166225

11.09819982

9 10 11 12 13 14 15 16 17 18

0.459294375 0.692731119 0.795807085 0.492642481 0.063664567 0.250110798 0.174319647 0.172803824 0.162193063 0.157645594

0.946631428 1.34145376 1.633010151 1.128384714 0.219227915 0.622736992 0.500491242 0.487200276 0.437131155 0.42543648

1.176073483 1.596117103 2.083621667 1.586776551 0.388469941 0.93091729 0.815076646 0.785756578 0.687184822 0.669344446

0.487282118 0.648680373 0.837187877 0.635723725 0.155562977 0.372577972 0.326122808 0.31434695 0.274893214 0.267747409

0.688791365 0.94743673 1.246433791 0.951052826 0.232906964 0.558339319 0.488953838 0.471409628 0.412291607 0.401597038

0.688791365 0.94743673 1.246433791 0.951052826 0.232906964 0.558339319 0.488953838 0.471409628 0.412291607 0.401597038

11.43485813

9 10 11 12 13 14 15 16 17 18

0.459280342 0.692709955 0.795782772 0.49262743 0.063662622 0.250103157 0.174314321 0.172798545 0.162188108 0.157640778

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0.122873969 0.10618738 0.045509 0.116806 0.05916154 0.060678503 0.465707511 15.1696 11.2286 3.9411

0.354513437 0.309815946 0.139915 0.342668 0.181601236 0.167689803 1.094374031 148.8132 139.4221 9.3911

0.578766014 0.508781034 0.23588 0.564328 0.305919567 0.267366665 1.570653814 148.8132 135.2332 13.5800

0.231510564 0.203514243 0.094352 0.225732 0.122367964 0.106946728 0.628261525 133.6454 128.1978 5.4475

0.34725545 0.30526679 0.141527 0.338596 0.183551603 0.160419937 0.942392288 15.1678 7.0354 8.1324

0.34725545 0.30526679 0.141527 0.338596 0.183551603 0.160419937 0.942392288 15.1678 7.0354 8.1324

Deficit -0.0018

19 20 21 22 23 24 25

0.122826663 0.106146499 0.045491 0.116761 0.059138764 0.060655142 0.465528218 15.1638 11.2242 3.9396

0.354337227 0.309660743 0.139844 0.342493 0.181506728 0.16760187 1.093789743 148.8092 139.4221 9.3871

0.578535844 0.508577207 0.235784 0.564095 0.305790989 0.267250788 1.569925283 148.8092 135.2335 13.5756

0.231418494 0.203432712 0.094314 0.225638 0.122316533 0.106900377 0.627970113 133.6463 128.2005 5.4458

0.34711735 0.305144495 0.14147 0.338456 0.183474456 0.160350411 0.94195517 15.1628 7.0330 8.1298

0.34711735 0.305144495 0.14147 0.338456 0.183474456 0.160350411 0.94195517 15.1628 7.0330 8.1298

Deficit -0.0010

19 20 21 22 23 24 25

0.122796997 0.106120861 0.04548 0.116733 0.05912448 0.060640492 0.465415778 15.1601 11.2215 3.9386

0.354215491 0.309553573 0.139795 0.342371 0.181441013 0.167540869 1.093385891 148.8065 139.4221 9.3844

0.57838093 0.508440358 0.23572 0.563938 0.305703889 0.267172149 1.569428945 148.8065 135.2336 13.5728

0.231356527 0.203377972 0.094288 0.225576 0.122281693 0.106868921 0.627771578 133.6466 128.2019 5.4447

0.347024402 0.305062386 0.141431 0.338362 0.183422196 0.160303228 0.941657367 15.1598 7.0317 8.1281

0.347024402 0.305062386 0.141431 0.338362 0.183422196 0.160303228 0.941657367 15.1598 7.0317 8.1281

Deficit -0.0003

19 20 21 22 23 24 25

0.122781664 0.106107611 0.045475 0.116718 0.059117098 0.060632921 0.465357667 15.1582 11.2201 3.9381

0.354138192 0.309485583 0.139763 0.342294 0.181398791 0.167501842 1.093129245 148.8048 139.4221 9.3828

0.578287312 0.50835805 0.23568 0.563842 0.30565058 0.267123849 1.569121863 148.8048 135.2335 13.5713

0.23131908 0.203345048 0.094273 0.225537 0.122260369 0.106849601 0.627648745 133.6464 128.2023 5.4441

0.346968232 0.305013001 0.141408 0.338305 0.183390211 0.160274248 0.941473118 15.1585 7.0312 8.1273

0.346968232 0.305013001 0.141408 0.338305 0.183390211 0.160274248 0.941473118 15.1585 7.0312 8.1273

Deficit 0.0003

19 20 21 22 23 24 25

0.122777913 0.10610437 0.045473 0.116715 0.059115292 0.060631068 0.465343449 15.1578 11.2198 3.9380

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Internal Feed, tons 16.42239732 20.20735095 33.46942572 45.13889008 11.96450255 4.946239513 3.96905906 2.357634492

To the Grate, tons 15.21148728 19.18867664 32.1554621 43.88166782 12.30899481 5.396817955 3.693372384 2.220767671

Internal Recycle, tons 15.21148728 19.18867664 32.1554621 43.88166782 10.73681968 3.768726365 1.827328721 0.944354608

Mill Discharge, tons 0 0 0 0 1.572175123 1.62809159 1.866043663 1.276413063

Actual 0 0 0 0 1.572175123 1.62809159 1.866043663 1.276413063

Iteration 34 Cummulative Energy, KWH/ton 17 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.127788719 0.961045764 1.306658436 1.402156674 1.229350338 1.179327451 2.14188906 1.412767589

Internal Feed, tons 16.339276 20.1497224 33.46212054 45.28382449 11.96617002 4.948053817 3.969217781 2.357122197

To the Grate, tons 15.13449494 19.13326977 32.14632603 44.0174314 12.31237547 5.399606743 3.693765306 2.219610073

Internal Recycle, tons 15.13449494 19.13326977 32.14632603 44.0174314 10.73976855 3.770673842 1.827523123 0.943862353

Mill Discharge, tons 0 0 0 0 1.57260692 1.628932901 1.866242183 1.27574772

Actual 0 0 0 0 1.57260692 1.628932901 1.866242183 1.27574772

Iteration 35 Cummulative Energy, KWH/ton 17.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.127907318 0.961146828 1.306795845 1.402304126 1.229479617 1.17945147 2.142114302 1.412916157

Internal Feed, tons 16.26240226 20.0944166 33.45312188 45.41973553 11.96924817 4.950125312 3.969637425 2.35677851

To the Grate, tons 15.0632895 19.08015066 32.13572351 44.14468873 12.31695563 5.402581698 3.694368923 2.218620773

Internal Recycle, tons 15.0632895 19.08015066 32.13572351 44.14468873 10.74376371 3.772751324 1.827821768 0.943441665

Mill Discharge, tons 0 0 0 0 1.573191925 1.629830374 1.866547155 1.275179108

Actual 0 0 0 0 1.573191925 1.629830374 1.866547155 1.275179108

Iteration 36 Cummulative Energy, KWH/ton 18 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.128079055 0.961293173 1.306994819 1.402517642 1.229666819 1.179631054 2.142440463 1.413131289

Internal Feed, tons 16.19136855 20.04144383 33.44271832 45.54720637 11.97343053 4.952382378 3.97026223 2.356572954

To the Grate, tons 14.99749349 19.02932126 32.12392124 44.26399544 12.32245681 5.405677145 3.695136171 2.217775427

Internal Recycle, tons 14.99749349 19.02932126 32.12392124 44.26399544 10.74856224 3.774912948 1.82820137 0.943082192

Mill Discharge, tons 0 0 0 0 1.573894566 1.630764197 1.8669348 1.274693235

Actual 0 0 0 0 1.573894566 1.630764197 1.8669348 1.274693235

Iteration 37 Cummulative Energy, KWH/ton 18.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.128291781 0.961474448 1.307241284 1.402782121 1.229898703 1.179853503 2.142844472 1.413397769

Internal Feed, tons 16.12578527 19.99079571 33.43116252 45.66677756 11.97846094 4.954766451 3.971045842 2.356479961

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0.94656246 1.341390328 1.632970648 1.128351155 0.219225599 0.622681128 0.50043713 0.487145494 0.437081322 0.425388186

1.176005266 1.596108461 2.083709006 1.58683833 0.388493529 0.930869956 0.815019122 0.785697005 0.687130151 0.669293217

0.487253853 0.64867686 0.837222969 0.635748476 0.155572423 0.372559027 0.326099792 0.314323117 0.274871345 0.267726916

0.688751412 0.9474316 1.246486037 0.951089854 0.232921106 0.558310929 0.48891933 0.471373888 0.412258807 0.401566301

0.688751412 0.9474316 1.246486037 0.951089854 0.232921106 0.558310929 0.48891933 0.471373888 0.412258807 0.401566301

11.77151643

9 10 11 12 13 14 15 16 17 18

0.459301051 0.692741189 0.795818653 0.492649642 0.063665492 0.250114434 0.174322181 0.172806336 0.162195421 0.157647886

0.946554904 1.34141805 1.633041622 1.128398118 0.219237915 0.622673461 0.500421973 0.487129453 0.437066765 0.425374802

1.175989048 1.596176037 2.083895402 1.5869857 0.388536455 0.930881436 0.815013521 0.785689178 0.687121873 0.669288301

0.487247134 0.648704324 0.837297862 0.635807518 0.155589613 0.372563622 0.326097551 0.314319986 0.274868033 0.26772495

0.688741914 0.947471713 1.24659754 0.951178182 0.232946842 0.558317814 0.48891597 0.471369192 0.41225384 0.401563351

0.688741914 0.947471713 1.24659754 0.951178182 0.232946842 0.558317814 0.48891597 0.471369192 0.41225384 0.401563351

12.10817601

9 10 11 12 13 14 15 16 17 18

0.459349351 0.692814038 0.795902342 0.49270145 0.063672187 0.250140736 0.174340513 0.172824508 0.162212477 0.157664464

0.946596485 1.341518363 1.633200203 1.128508968 0.2192618 0.622704358 0.500438064 0.487144494 0.43708051 0.425389413

1.176014528 1.596303913 2.084159208 1.587200088 0.388594429 0.9309398 0.815049449 0.785722757 0.687150729 0.669320419

0.487257691 0.648756294 0.837403858 0.63589341 0.155612828 0.372586981 0.326111926 0.314333419 0.274879576 0.267737797

0.688756837 0.947547618 1.246755351 0.951306677 0.2329816 0.55835282 0.488937523 0.471389338 0.412271152 0.401582621

0.688756837 0.947547618 1.246755351 0.951306677 0.2329816 0.55835282 0.488937523 0.471389338 0.412271152 0.401582621

12.4448379

9 10 11 12 13 14 15 16 17 18

0.459419292 0.692919527 0.796023526 0.492776469 0.063681882 0.250178823 0.174367058 0.172850823 0.162237176 0.15768847

0.946676984 1.341675821 1.633427384 1.128669879 0.21929471 0.622765803 0.500478984 0.487184242 0.437116752 0.425426267

1.176073131 1.596478853 2.084482483 1.587466093 0.388663898 0.931035123 0.815118259 0.785789137 0.687209012 0.669381851

0.487281972 0.648827392 0.837533748 0.635999982 0.155640647 0.372625132 0.326139458 0.314359975 0.274902891 0.267762371

0.688791159 0.947651461 1.246948735 0.951466111 0.233023251 0.558409992 0.488978801 0.471429162 0.412306121 0.40161948

0.688791159 0.947651461 1.246948735 0.951466111 0.233023251 0.558409992 0.488978801 0.471429162 0.412306121 0.40161948

12.78150289

9 10 11 12 13 14 15 16 17 18

0.459505927 0.693050194 0.796173636 0.492869394 0.063693891 0.250226 0.174399939 0.172883418 0.16226777 0.157718206

0.946787899 1.341877586 1.633707384 1.128869376 0.219334538 0.622851131 0.500539397 0.487243393 0.437170661 0.425480577

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Mill

0.354096993 0.309449418 0.139746 0.342252 0.181375661 0.16748067 1.092992194 148.8041 139.4221 9.3821

0.57824339 0.508319947 0.235662 0.563797 0.305624674 0.267100161 1.56896836 148.8041 135.2333 13.5709

0.231301511 0.203329807 0.094265 0.225519 0.122250007 0.106840126 0.627587344 133.6457 128.2018 5.4439

0.34694188 0.30499014 0.141397 0.338278 0.183374667 0.160260035 0.941381016 15.1585 7.0315 8.1270

0.34694188 0.30499014 0.141397 0.338278 0.183374667 0.160260035 0.941381016 15.1585 7.0315 8.1270

Deficit 0.0007

19 20 21 22 23 24 25

0.122783449 0.106109154 0.045475 0.11672 0.059117957 0.060633802 0.465364431 15.1585 11.2203 3.9382

0.35408496 0.309438961 0.139741 0.342239 0.181367964 0.167473928 1.092951775 148.8041 139.4221 9.3821

0.578239516 0.508317455 0.23566 0.563792 0.305620861 0.267096319 1.568938763 148.8041 135.2329 13.5713

0.231299961 0.20332881 0.094265 0.225517 0.122248482 0.106838589 0.627575505 133.6446 128.2006 5.4440

0.346939555 0.304988644 0.141396 0.338275 0.183372379 0.160257729 0.941363258 15.1595 7.0323 8.1272

0.346939555 0.304988644 0.141396 0.338275 0.183372379 0.160257729 0.941363258 15.1595 7.0323 8.1272

Deficit 0.0010

19 20 21 22 23 24 25

0.122796361 0.106120312 0.04548 0.116732 0.059124174 0.060640178 0.465413369 15.1600 11.2215 3.9386

0.354096322 0.309449122 0.139745 0.34225 0.181372656 0.167478767 1.092988874 148.8047 139.4221 9.3826

0.57826766 0.508343424 0.235672 0.563819 0.305634724 0.267108359 1.569008376 148.8047 135.2324 13.5723

0.231311219 0.203339198 0.094269 0.225528 0.122254027 0.106843405 0.62760335 133.6434 128.1989 5.4445

0.346956441 0.305004226 0.141403 0.338291 0.183380697 0.160264954 0.941405026 15.1613 7.0335 8.1278

0.346956441 0.305004226 0.141403 0.338291 0.183380697 0.160264954 0.941405026 15.1613 7.0335 8.1278

Deficit 0.0013

19 20 21 22 23 24 25

0.122815058 0.10613647 0.045487 0.11675 0.059133176 0.060649412 0.465484234 15.1624 11.2232 3.9392

0.354126277 0.309475668 0.139756 0.342278 0.181387203 0.167492817 1.093087584 148.8057 139.4221 9.3836

0.578321143 0.508391906 0.235694 0.563872 0.305662588 0.267132983 1.56915665 148.8057 135.2319 13.5739

0.231332612 0.203358591 0.094278 0.225549 0.122265172 0.106853255 0.62766266 133.6419 128.1968 5.4451

0.346988531 0.305033315 0.141416 0.338323 0.183397416 0.160279728 0.94149399 15.1638 7.0351 8.1288

0.346988531 0.305033315 0.141416 0.338323 0.183397416 0.160279728 0.94149399 15.1638 7.0351 8.1288

Deficit 0.0015

19 20 21 22 23 24 25

0.122838218 0.106156485 0.045496 0.116772 0.059144327 0.060660848 0.465572012 15.1652 11.2253 3.9399

0.354170831 0.309515076 0.139774 0.342322 0.1814095 0.167514103 1.093234672 148.8071 139.4221 9.3850

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Mill

To the Grate, tons 14.936746 18.98076639 32.11115195 44.37586587 12.32864694 5.408839818 3.696027972 2.217053299

Internal Recycle, tons 14.936746 18.98076639 32.11115195 44.37586587 10.75396173 3.777121518 1.828642597 0.942775116

Mill Discharge, tons 0 0 0 0 1.574685205 1.6317183 1.867385375 1.274278183

Actual 0 0 0 0 1.574685205 1.6317183 1.867385375 1.274278183

Iteration 38 Cummulative Energy, KWH/ton 19 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.128535421 0.961682066 1.307523565 1.403085032 1.230164283 1.180108276 2.14330719 1.413702973

Internal Feed, tons 16.06528142 19.94244846 33.41867552 45.7789509 11.98412602 4.957229794 3.971949787 2.356478089

To the Grate, tons 14.88070342 18.93445685 32.09761853 44.48077697 12.33533341 5.412026726 3.697011948 2.216436701

Internal Recycle, tons 14.88070342 18.93445685 32.09761853 44.48077697 10.75979417 3.779347012 1.829129428 0.942512915

Mill Discharge, tons 0 0 0 0 1.575539239 1.632679715 1.86788252 1.273923786

Actual 0 0 0 0 1.575539239 1.632679715 1.86788252 1.273923786

Iteration 39 Cummulative Energy, KWH/ton 19.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.128801632 0.961908918 1.307831998 1.403416008 1.230454467 1.180386653 2.143812777 1.414036453

Internal Feed, tons 16.00950506 19.89636577 33.40545053 45.88419298 11.99024864 4.959733665 3.972942205 2.356549368

To the Grate, tons 14.82903974 18.8903521 32.08349765 44.57917169 12.34235704 5.415203405 3.698061337 2.215910528

Internal Recycle, tons 14.82903974 18.8903521 32.08349765 44.57917169 10.7659207 3.781565362 1.829648622 0.942289166

Mill Discharge, tons 0 0 0 0 1.576436338 1.633638043 1.868412715 1.273621361

Actual 0 0 0 0 1.576436338 1.633638043 1.868412715 1.273621361

Iteration 40 Cummulative Energy, KWH/ton 20 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.129083536 0.962149142 1.308158613 1.403766493 1.230761757 1.180681439 2.144348166 1.41438959

Internal Feed, tons 15.95812328 19.85250124 33.39165626 45.98293818 11.99668246 4.962246801 3.973996789 2.356678756

To the Grate, tons 14.78144662 18.8484025 32.06894293 44.67146198 12.34958697 5.418342459 3.699154099 2.215461866

Internal Recycle, tons 14.78144662 18.8484025 32.06894293 44.67146198 10.77222718 3.783757439 1.830189276 0.942098378

Mill Discharge, tons 0 0 0 0 1.577359785 1.634585021 1.868964823 1.273363488

Actual 0 0 0 0 1.577359785 1.634585021 1.868964823 1.273363488

Iteration 41 Cummulative Energy, KWH/ton 20.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.129375479 0.962397922 1.308496859 1.40412946 1.231079991 1.180986724 2.144902624 1.414755305

Internal Feed, tons 15.91082209 19.81080042 33.37743979 46.07559144 12.00330717 4.964744163 3.9750919 2.356853683

To the Grate, tons 14.7376332 18.80855127 32.05408769 44.75803146 12.35691625 5.421422365 3.700272159 2.215079669

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Mill

1.176157721 1.596689873 2.084850376 1.587770969 0.388741929 0.931159158 0.815212758 0.785881163 0.687290312 0.669466179

0.48731702 0.648913153 0.837681565 0.636122127 0.155671895 0.372674773 0.326177268 0.314396791 0.274935414 0.267796104

0.688840701 0.94777672 1.247168811 0.951648842 0.233070034 0.558484384 0.48903549 0.471484372 0.412354899 0.401670076

0.688840701 0.94777672 1.247168811 0.951648842 0.233070034 0.558484384 0.48903549 0.471484372 0.412354899 0.401670076

13.11817158

9 10 11 12 13 14 15 16 17 18

0.459605151 0.693199848 0.796345559 0.492975822 0.063707645 0.250280033 0.174437599 0.17292075 0.162302809 0.157752263

0.946922171 1.342113002 1.634027124 1.129097949 0.219379539 0.622954806 0.500614867 0.487317541 0.437238223 0.425548367

1.176262365 1.596927873 2.085250627 1.588104187 0.3888261 0.93130506 0.815326972 0.78599289 0.687389308 0.669568073

0.487360377 0.649009879 0.837842384 0.636255627 0.155705601 0.372733167 0.326222967 0.314441488 0.274975014 0.267836863

0.688901988 0.947917994 1.247408243 0.95184856 0.233120499 0.558571893 0.489104005 0.471551402 0.412414293 0.401731211

0.688901988 0.947917994 1.247408243 0.95184856 0.233120499 0.558571893 0.489104005 0.471551402 0.412414293 0.401731211

13.45484443

9 10 11 12 13 14 15 16 17 18

0.459713568 0.693363368 0.79653341 0.493092111 0.063722673 0.250339072 0.174478747 0.17296154 0.162341095 0.157789475

0.947073945 1.342373247 1.634375793 1.129347738 0.219428274 0.623072239 0.500701714 0.487403028 0.437316109 0.425626338

1.176382145 1.597185334 2.085673145 1.588457076 0.388914422 0.931467164 0.815455952 0.786119392 0.687501584 0.669683117

0.487410006 0.649114514 0.838012149 0.636397008 0.15574097 0.372798046 0.326274573 0.314492096 0.275019928 0.267882882

0.688972139 0.94807082 1.247660996 0.952060068 0.233173452 0.558669118 0.489181379 0.471627296 0.412481656 0.401800235

0.688972139 0.94807082 1.247660996 0.952060068 0.233173452 0.558669118 0.489181379 0.471627296 0.412481656 0.401800235

13.79152177

9 10 11 12 13 14 15 16 17 18

0.459828375 0.693536527 0.796732334 0.493215254 0.063738587 0.250401591 0.174522321 0.173004735 0.162381638 0.157828881

0.947238381 1.342651041 1.634744483 1.129612262 0.219479557 0.623199636 0.500796894 0.487496831 0.437401566 0.425711763

1.176512988 1.597456062 2.086109657 1.588822525 0.389005268 0.93164079 0.815595604 0.786256595 0.687623492 0.669807659

0.487464218 0.649224541 0.838187537 0.636543421 0.155777349 0.372867535 0.32633045 0.314546985 0.275068695 0.2679327

0.68904877 0.948231521 1.24792212 0.952279104 0.233227919 0.558773254 0.489265154 0.471709611 0.412554797 0.401874958

0.68904877 0.948231521 1.24792212 0.952279104 0.233227919 0.558773254 0.489265154 0.471709611 0.412554797 0.401874958

14.12820382

9 10 11 12 13 14 15 16 17 18

0.459947272 0.693715852 0.796938342 0.493342783 0.063755067 0.250466336 0.174567446 0.173049469 0.162423624 0.157869691

0.94741149 1.342940393 1.63512588 1.129886204 0.219532417 0.623333872 0.500897896 0.487596453 0.437492319 0.425802391

1.176651535 1.597734981 2.086553416 1.589194726 0.389097312 0.931822089 0.815742557 0.786401143 0.687752024 0.669938692

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Mill

0.578394411 0.508457957 0.235724 0.563945 0.305701398 0.26716745 1.569366499 148.8071 135.2313 13.5758

0.23136192 0.203385012 0.09429 0.225579 0.122280696 0.106867041 0.6277466 133.6402 128.1943 5.4459

0.347032491 0.305072945 0.141434 0.338367 0.183420701 0.160300408 0.941619899 15.1668 7.0369 8.1299

0.347032491 0.305072945 0.141434 0.338367 0.183420701 0.160300408 0.941619899 15.1668 7.0369 8.1299

Deficit 0.0016

19 20 21 22 23 24 25

0.122864743 0.106179408 0.045505 0.116797 0.059157099 0.060673947 0.465672546 15.1685 11.2277 3.9408

0.354226664 0.30956442 0.139796 0.342376 0.181437795 0.167540989 1.093419146 148.8087 139.4221 9.3867

0.578482855 0.508537473 0.235761 0.564033 0.305748616 0.267209482 1.569623731 148.8087 135.2306 13.5781

0.231397298 0.203416818 0.094305 0.225614 0.122299584 0.106883854 0.627849492 133.6385 128.1917 5.4468

0.347085557 0.305120655 0.141456 0.338419 0.183449032 0.160325627 0.941774239 15.1702 7.0389 8.1313

0.347085557 0.305120655 0.141456 0.338419 0.183449032 0.160325627 0.941774239 15.1702 7.0389 8.1313

Deficit 0.0017

19 20 21 22 23 24 25

0.122893726 0.106204455 0.045516 0.116825 0.059171053 0.06068826 0.465782394 15.1721 11.2304 3.9417

0.354291024 0.309621273 0.139821 0.342439 0.181470637 0.167572114 1.093631886 148.8106 139.4221 9.3885

0.578582653 0.508627054 0.235802 0.564133 0.305802142 0.267257192 1.569916583 148.8106 135.2300 13.5806

0.231437218 0.203452651 0.094321 0.225654 0.122320994 0.106902939 0.627966633 133.6367 128.1889 5.4478

0.347145435 0.305174403 0.141481 0.338479 0.183481148 0.160354254 0.94194995 15.1739 7.0411 8.1328

0.347145435 0.305174403 0.141481 0.338479 0.183481148 0.160354254 0.94194995 15.1739 7.0411 8.1328

Deficit 0.0018

19 20 21 22 23 24 25

0.122924417 0.106230978 0.045528 0.116854 0.05918583 0.060703416 0.465898717 15.1759 11.2332 3.9427

0.354361635 0.309683629 0.139849 0.342508 0.181506825 0.167606355 1.09386535 148.8125 139.4221 9.3905

0.578690648 0.508723891 0.235847 0.564241 0.305860238 0.267309022 1.570235328 148.8125 135.2293 13.5832

0.231480417 0.203491386 0.094339 0.225697 0.122344233 0.106923671 0.628094131 133.6348 128.1860 5.4488

0.347210231 0.305232505 0.141508 0.338544 0.183516006 0.160385351 0.942141197 15.1777 7.0433 8.1344

0.347210231 0.305232505 0.141508 0.338544 0.183516006 0.160385351 0.942141197 15.1777 7.0433 8.1344

Deficit 0.0018

19 20 21 22 23 24 25

0.122956201 0.106258446 0.045539 0.116884 0.059201134 0.060719112 0.466019183 15.1798 11.2361 3.9437

0.354436618 0.309749832 0.139879 0.342581 0.181545367 0.167642782 1.094113314 148.8146 139.4221 9.3926

0.57880424 0.508825669 0.235894 0.564354 0.305921473 0.267363685 1.570571948 148.8146 135.2286 13.5860

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Mill

Internal Recycle, tons 14.7376332 18.80855127 32.05408769 44.75803146 10.77862033 3.78590821 1.830742446 0.941935853

Mill Discharge, tons 0 0 0 0 1.578295923 1.635514155 1.869529713 1.273143815

Actual 0 0 0 0 1.578295923 1.635514155 1.869529713 1.273143815

Iteration 42 Cummulative Energy, KWH/ton 21 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.129672842 0.96265132 1.308841384 1.404499165 1.231404133 1.181297676 2.145467374 1.415127808

Internal Feed, tons 15.86730604 19.77120259 33.36292907 46.16253062 12.01002446 4.967205886 3.97620982 2.357063661

To the Grate, tons 14.69732581 18.77073612 32.03904739 44.83923776 12.36425813 5.424426461 3.701400773 2.214754474

Internal Recycle, tons 14.69732581 18.77073612 32.03904739 44.83923776 10.78502446 3.788006041 1.831300838 0.941797568

Mill Discharge, tons 0 0 0 0 1.57923367 1.636420419 1.870099935 1.272956906

Actual 0 0 0 0 1.57923367 1.636420419 1.870099935 1.272956906

Iteration 43 Cummulative Energy, KWH/ton 21.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.129971871 0.962906137 1.30918784 1.404870942 1.23173009 1.18161037 2.146035287 1.415502397

Internal Feed, tons 15.82729768 19.73364226 33.34823523 46.2441087 12.01675455 4.969616412 3.977336125 2.357299966

To the Grate, tons 14.66026748 18.73489063 32.02392172 44.91541465 12.37154284 5.427342118 3.702527997 2.214478177

Internal Recycle, tons 14.66026748 18.73489063 32.02392172 44.91541465 10.79137873 3.790042114 1.831858542 0.941680076

Mill Discharge, tons 0 0 0 0 1.580164115 1.637300004 1.870669455 1.272798101

Actual 0 0 0 0 1.580164115 1.637300004 1.870669455 1.272798101

Iteration 44 Cummulative Energy, KWH/ton 22 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.130269539 0.963159795 1.309532718 1.405241026 1.232054564 1.181921641 2.146600616 1.415875282

Internal Feed, tons 15.79053702 19.69805043 33.33345444 46.32065568 12.02343329 4.971963755 3.978459158 2.357555359

To the Grate, tons 14.62621738 18.70094545 32.00879652 44.98687392 12.37871489 5.430160036 3.703644234 2.214243827

Internal Recycle, tons 14.62621738 18.70094545 32.00879652 44.98687392 10.79763472 3.792009933 1.83241081 0.941580422

Mill Discharge, tons 0 0 0 0 1.58108017 1.638150102 1.871233424 1.272663405

Actual 0 0 0 0 1.58108017 1.638150102 1.871233424 1.272663405

Iteration 45 Cummulative Energy, KWH/ton 22.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.130563428 0.963410233 1.309873219 1.405606413 1.23237492 1.182228961 2.147158769 1.416243434

Internal Feed, tons 15.75678081 19.66435568 33.31866974 46.39248033 12.03000964 4.974238894 3.979569579 2.357823856

To the Grate, tons 14.59495019 18.66882926 31.99374534 45.05390705 12.38573074 5.432873657 3.704741854 2.214045462

Internal Recycle, tons 14.59495019 18.66882926 31.99374534 45.05390705 10.80375447 3.793904919 1.832953867 0.94149607

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Mill

0.487521622 0.649337897 0.838365837 0.636692539 0.155814208 0.372940096 0.326389248 0.314604812 0.275120111 0.267985115

0.689129913 0.948397084 1.248187579 0.952502187 0.233283104 0.558881993 0.489353309 0.471796331 0.412631913 0.401953576

0.689129913 0.948397084 1.248187579 0.952502187 0.233283104 0.558881993 0.489353309 0.471796331 0.412631913 0.401953576

14.46489071

9 10 11 12 13 14 15 16 17 18

0.460068375 0.693898507 0.797148175 0.49347268 0.063771854 0.250532284 0.17461341 0.173095032 0.16246639 0.157911258

0.947589997 1.343236403 1.635514012 1.130165219 0.219586062 0.62347238 0.501002657 0.487699844 0.437586501 0.425896373

1.176795026 1.598017947 2.086998952 1.589568966 0.38918948 0.93200791 0.815894043 0.786550279 0.687884711 0.670073749

0.487581074 0.649452898 0.838544851 0.636842474 0.155851117 0.373014467 0.326449859 0.314664475 0.27517319 0.26803914

0.689213951 0.948565049 1.248454101 0.952726492 0.233338363 0.558993443 0.489444184 0.471885804 0.412711521 0.402034609

0.689213951 0.948565049 1.248454101 0.952726492 0.233338363 0.558993443 0.489444184 0.471885804 0.412711521 0.402034609

14.8015825

9 10 11 12 13 14 15 16 17 18

0.460190157 0.694082184 0.797359183 0.493603304 0.063788735 0.2505986 0.174659631 0.173140851 0.162509395 0.157953057

0.947771232 1.343535082 1.635904034 1.130445778 0.219639852 0.623613067 0.50110949 0.487805326 0.437682585 0.425992197

1.176941202 1.598301604 2.087441865 1.589941451 0.389280912 0.932195684 0.816047804 0.786701756 0.688019537 0.670210816

0.48764164 0.649568179 0.838722811 0.636991706 0.155887731 0.373089619 0.326511381 0.314725074 0.275227124 0.268093969

0.689299563 0.948733425 1.248719054 0.952949745 0.233393181 0.559106065 0.489536423 0.471976682 0.412792413 0.402116847

0.689299563 0.948733425 1.248719054 0.952949745 0.233393181 0.559106065 0.489536423 0.471976682 0.412792413 0.402116847

15.13827921

9 10 11 12 13 14 15 16 17 18

0.460311385 0.694265026 0.797569231 0.493733333 0.063805538 0.250664615 0.174705641 0.173186462 0.162552205 0.157994667

0.947953024 1.343833205 1.636292042 1.130725039 0.219693269 0.623754234 0.501217022 0.487911536 0.437779329 0.426088636

1.177088229 1.598583252 2.087878651 1.590309153 0.389370925 0.932383334 0.816202008 0.786853747 0.688154867 0.670348262

0.487702557 0.649682644 0.83889831 0.637139021 0.155923777 0.373164722 0.32657308 0.314785879 0.27528126 0.268148949

0.689385672 0.948900608 1.248980341 0.953170132 0.233447149 0.559218613 0.489628928 0.472067868 0.412873607 0.402199312

0.689385672 0.948900608 1.248980341 0.953170132 0.233447149 0.559218613 0.489628928 0.472067868 0.412873607 0.402199312

15.4749808

9 10 11 12 13 14 15 16 17 18

0.460431074 0.694445547 0.797776613 0.493861713 0.063822129 0.250729793 0.174751068 0.173231493 0.162594472 0.158035748

0.948133631 1.344128191 1.636674922 1.131000734 0.219745906 0.623894514 0.501324148 0.488017372 0.437875731 0.426184697

1.177234625 1.598860745 2.088306555 1.590669687 0.389458983 0.932569196 0.816355182 0.787004784 0.688289383 0.670484772

0.487763214 0.64979542 0.839070239 0.637283465 0.15595904 0.373239108 0.326634367 0.314846302 0.27533507 0.268203555

Page 81

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Mill

0.231525855 0.203532098 0.094358 0.225742 0.122368727 0.106945536 0.628228779 133.6330 128.1830 5.4500

0.347278386 0.305293571 0.141536 0.338612 0.183552746 0.160418149 0.942343169 15.1816 7.0456 8.1360

0.347278386 0.305293571 0.141536 0.338612 0.183552746 0.160418149 0.942343169 15.1816 7.0456 8.1360

Deficit 0.0019

19 20 21 22 23 24 25

0.122988576 0.106286423 0.045551 0.116915 0.059216722 0.060735099 0.466141885 15.1838 11.2390 3.9447

0.35451443 0.309818521 0.13991 0.342657 0.181585448 0.167680635 1.094370665 148.8168 139.4221 9.3947

0.578921296 0.508930492 0.235942 0.564471 0.305984672 0.267420127 1.570919864 148.8168 135.2280 13.5888

0.231572678 0.203574027 0.094378 0.225789 0.122394006 0.106968113 0.628367946 133.6311 128.1801 5.4511

0.347348618 0.305356464 0.141565 0.338682 0.183590666 0.160452014 0.942551919 15.1856 7.0479 8.1377

0.347348618 0.305356464 0.141565 0.338682 0.183590666 0.160452014 0.942551919 15.1856 7.0479 8.1377

Deficit 0.0019

19 20 21 22 23 24 25

0.123021131 0.106314558 0.045563 0.116946 0.059232396 0.060751176 0.466265275 15.1878 11.2420 3.9458

0.354593809 0.309888585 0.139941 0.342735 0.181626403 0.167719288 1.09463322 148.8189 139.4221 9.3969

0.579040075 0.509036811 0.235992 0.56459 0.306048876 0.267477486 1.571273701 148.8189 135.2273 13.5916

0.23162019 0.203616555 0.094397 0.225836 0.122419688 0.106991056 0.62850948 133.6293 128.1771 5.4522

0.347419884 0.305420255 0.141594 0.338753 0.183629188 0.16048643 0.94276422 15.1896 7.0502 8.1394

0.347419884 0.305420255 0.141594 0.338753 0.183629188 0.16048643 0.94276422 15.1896 7.0502 8.1394

Deficit 0.0018

19 20 21 22 23 24 25

0.123053538 0.106342564 0.045575 0.116977 0.059248 0.060767179 0.466388103 15.1918 11.2450 3.9468

0.354673729 0.309959119 0.139973 0.342813 0.181667688 0.167758236 1.094897583 148.8211 139.4221 9.3990

0.579159165 0.509143371 0.236041 0.564709 0.306113308 0.267535065 1.571629095 148.8211 135.2267 13.5944

0.231667827 0.20365918 0.094417 0.225884 0.12244546 0.107014088 0.628651638 133.6275 128.1742 5.4533

0.347491338 0.305484191 0.141624 0.338825 0.183667847 0.160520977 0.942977457 15.1936 7.0525 8.1411

0.347491338 0.305484191 0.141624 0.338825 0.183667847 0.160520977 0.942977457 15.1936 7.0525 8.1411

Deficit 0.0018

19 20 21 22 23 24 25

0.123085535 0.106370215 0.045587 0.117007 0.059263406 0.06078298 0.466509372 15.1957 11.2479 3.9479

0.354753362 0.310029395 0.140004 0.342891 0.181708866 0.167797068 1.09516101 148.8233 139.4221 9.4012

0.579277432 0.509249165 0.23609 0.564827 0.306177341 0.267592299 1.571982534 148.8233 135.2261 13.5972

0.231715135 0.203701498 0.094437 0.225931 0.122471074 0.107036981 0.628793014 133.6258 128.1713 5.4545

Page 82

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Mill

Mill Discharge, tons 0 0 0 0 1.581976275 1.638968737 1.871787987 1.272549393

Actual 0 0 0 0 1.581976275 1.638968737 1.871787987 1.272549393

Iteration 46 Cummulative Energy, KWH/ton 23 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.130851633 0.963655827 1.310207134 1.405964732 1.232689079 1.182530337 2.147706126 1.416604465

Internal Feed, tons 15.72580182 19.63248509 33.30395247 46.45987178 12.03644355 4.976435256 3.980659993 2.358100535

To the Grate, tons 14.56625544 18.63846966 31.97883096 45.11678676 12.39255687 5.435478677 3.705814878 2.213877965

Internal Recycle, tons 14.56625544 18.63846966 31.97883096 45.11678676 10.80970873 3.795724067 1.833484755 0.941424844

Mill Discharge, tons 0 0 0 0 1.582848147 1.63975461 1.872330123 1.272453122

Actual 0 0 0 0 1.582848147 1.63975461 1.872330123 1.272453122

Iteration 47 Cummulative Energy, KWH/ton 23.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.131132673 0.963895315 1.310532747 1.406314143 1.232995427 1.18282422 2.148239874 1.41695652

Internal Feed, tons 15.69738812 19.60236498 33.28936371 46.5231009 12.04270415 4.978548287 3.98172463 2.358381364

To the Grate, tons 14.53993683 18.60979382 31.96410662 45.17576838 12.39916808 5.437972636 3.7068587 2.213736943

Internal Recycle, tons 14.53993683 18.60979382 31.96410662 45.17576838 10.81547551 3.797465658 1.834001196 0.941364876

Mill Discharge, tons 0 0 0 0 1.583692568 1.640506978 1.872857504 1.272372068

Actual 0 0 0 0 1.583692568 1.640506978 1.872857504 1.272372068

Iteration 48 Cummulative Energy, KWH/ton 24 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.131405421 0.964127738 1.310848754 1.406653245 1.233292737 1.183109432 2.148757877 1.417298189

Internal Feed, tons 15.67134225 19.57392156 33.27495538 46.58242162 12.04876825 4.98057509 3.982759072 2.358663065

To the Grate, tons 14.51581147 18.58272907 31.94961719 45.2310911 12.40554608 5.440354567 3.707869861 2.213618622

Internal Recycle, tons 14.51581147 18.58272907 31.94961719 45.2310911 10.82103888 3.799129017 1.834501477 0.941314561

Mill Discharge, tons 0 0 0 0 1.584507203 1.64122555 1.873368385 1.272304061

Actual 0 0 0 0 1.584507203 1.64122555 1.873368385 1.272304061

Iteration 49 Cummulative Energy, KWH/ton 24.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.131669048 0.964352388 1.311154193 1.406981008 1.233580105 1.183385107 2.149258555 1.417628431

Internal Feed, tons 15.64748052 19.54708146 33.26077138 46.63807211 12.05461898 4.982514124 3.983760032 2.358942992

To the Grate, tons 14.49370919 18.55720343 31.93540011 45.28297911 12.4116783 5.442624713 3.708845856 2.213519758

Internal Recycle, tons 14.49370919 18.55720343 31.93540011 45.28297911 10.82638786 3.800714314 1.834984359 0.94127252

Mill Discharge, tons 0 0 0 0 1.585290445 1.641910399 1.873861498 1.272247237

Page 83

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Mill

0.689471412 0.949065325 1.249236316 0.953386222 0.233499944 0.559330088 0.489720815 0.472158482 0.412954313 0.402281217

0.689471412 0.949065325 1.249236316 0.953386222 0.233499944 0.559330088 0.489720815 0.472158482 0.412954313 0.402281217

15.81168718

9 10 11 12 13 14 15 16 17 18

0.460548447 0.694622576 0.797979983 0.493987609 0.063838399 0.250793709 0.174795615 0.173275653 0.16263592 0.158076035

0.948311661 1.344417996 1.637050222 1.131271074 0.219797438 0.624032817 0.501429982 0.488121956 0.43797099 0.42627959

1.177379208 1.599132395 2.088723446 1.591021201 0.389544674 0.932751948 0.81650615 0.787153696 0.688422036 0.670619302

0.487823118 0.649905822 0.839237743 0.637424295 0.155993354 0.373312251 0.326694771 0.314905876 0.275388135 0.268257369

0.689556089 0.949226573 1.249485702 0.953596906 0.233551319 0.559439697 0.489811379 0.472247821 0.413033901 0.402361933

0.689556089 0.949226573 1.249485702 0.953596906 0.233551319 0.559439697 0.489811379 0.472247821 0.413033901 0.402361933

16.14839827

9 10 11 12 13 14 15 16 17 18

0.460662903 0.694795204 0.798178297 0.494110374 0.063854264 0.250856036 0.174839056 0.173318716 0.162676339 0.15811532

0.948486021 1.344701026 1.637416041 1.13153467 0.219847618 0.624168287 0.501533827 0.488224592 0.438064473 0.426372689

1.177521041 1.599396901 2.089127712 1.591362292 0.389627687 0.932930557 0.816653991 0.787299563 0.688551998 0.67075103

0.487881884 0.65001332 0.839400175 0.637560949 0.156026597 0.373383735 0.326753925 0.314964231 0.275440123 0.268310062

0.689639157 0.949383581 1.249727536 0.953801342 0.23360109 0.559546822 0.489900067 0.472335332 0.413111875 0.402440967

0.689639157 0.949383581 1.249727536 0.953801342 0.23360109 0.559546822 0.489900067 0.472335332 0.413111875 0.402440967

16.48511392

9 10 11 12 13 14 15 16 17 18

0.460773982 0.694962739 0.798370761 0.494229519 0.063869661 0.250916525 0.174881214 0.173360508 0.162715565 0.158153446

0.948655866 1.344976059 1.637770936 1.131790468 0.219896258 0.62430026 0.501635139 0.488324739 0.438155688 0.426463508

1.177659399 1.599653279 2.089518172 1.591691923 0.389707799 0.93310423 0.816797991 0.787441671 0.68867863 0.67087932

0.48793921 0.650117516 0.83955706 0.637693012 0.156058678 0.373453243 0.326811541 0.315021082 0.27549078 0.26836138

0.689720189 0.949535764 1.249961112 0.953998911 0.233649121 0.559650987 0.48998645 0.472420589 0.41318785 0.40251794

0.689720189 0.949535764 1.249961112 0.953998911 0.233649121 0.559650987 0.48998645 0.472420589 0.41318785 0.40251794

16.82183401

9 10 11 12 13 14 15 16 17 18

0.460881346 0.695124671 0.798556788 0.494344678 0.063884543 0.250974991 0.174921963 0.173400903 0.162753479 0.158190297

0.948820556 1.345242186 1.638113848 1.13203769 0.219943221 0.624428234 0.501733504 0.488421984 0.438244258 0.426551677

1.177793727 1.599900815 2.089894001 1.592009365 0.389784855 0.933272375 0.81693761 0.787579481 0.688801448 0.671003692

0.487994866 0.650218117 0.839708066 0.637820192 0.156089535 0.373520539 0.326867404 0.315076214 0.27553991 0.268411131

0.689798861 0.949682698 1.250185935 0.954189173 0.23369532 0.559751836 0.490070206 0.472503267 0.413261537 0.402592561

Page 84

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Mill

0.347562297 0.305547667 0.141653 0.338896 0.183706267 0.160555318 0.94318952 15.1975 7.0548 8.1427

0.347562297 0.305547667 0.141653 0.338896 0.183706267 0.160555318 0.94318952 15.1975 7.0548 8.1427

Deficit 0.0018

19 20 21 22 23 24 25

0.123116912 0.106397331 0.045599 0.117037 0.059278513 0.060798475 0.466628295 15.1996 11.2508 3.9489

0.354832046 0.310098829 0.140035 0.342969 0.181749587 0.167835456 1.095421309 148.8254 139.4221 9.4033

0.579393973 0.50935339 0.236138 0.564944 0.306240477 0.267648742 1.572331216 148.8254 135.2255 13.5999

0.231761752 0.203743188 0.094456 0.225978 0.122496328 0.107059559 0.628932486 133.6241 128.1685 5.4555

0.347632221 0.305610202 0.141682 0.338966 0.183744149 0.160589183 0.943398729 15.2013 7.0569 8.1444

0.347632221 0.305610202 0.141682 0.338966 0.183744149 0.160589183 0.943398729 15.2013 7.0569 8.1444

Deficit 0.0017

19 20 21 22 23 24 25

0.123147509 0.106423773 0.04561 0.117066 0.059293245 0.060813585 0.466744261 15.2034 11.2536 3.9498

0.354909261 0.310166961 0.140066 0.343044 0.181789573 0.167873143 1.095676748 148.8275 139.4221 9.4054

0.579508076 0.509455415 0.236186 0.565058 0.306302324 0.26770404 1.572672933 148.8275 135.2249 13.6026

0.231807394 0.203783998 0.094475 0.226024 0.122521067 0.107081678 0.629069173 133.6224 128.1658 5.4566

0.347700682 0.305671416 0.141711 0.339034 0.183781257 0.160622362 0.94360376 15.2050 7.0591 8.1460

0.347700682 0.305671416 0.141711 0.339034 0.183781257 0.160622362 0.94360376 15.2050 7.0591 8.1460

Deficit 0.0016

19 20 21 22 23 24 25

0.123177203 0.106449435 0.045621 0.117094 0.059307542 0.060828248 0.466856807 15.2071 11.2563 3.9508

0.354984597 0.310233433 0.140096 0.343118 0.181828609 0.167909926 1.09592598 148.8295 139.4221 9.4074

0.579619195 0.509554753 0.236232 0.56517 0.306362578 0.26775792 1.573005976 148.8295 135.2243 13.6052

0.231851842 0.203823734 0.094493 0.226068 0.122545169 0.10710323 0.62920239 133.6208 128.1632 5.4577

0.347767353 0.305731019 0.141738 0.339101 0.183817409 0.16065469 0.943803585 15.2086 7.0611 8.1475

0.347767353 0.305731019 0.141738 0.339101 0.183817409 0.16065469 0.943803585 15.2086 7.0611 8.1475

Deficit 0.0016

19 20 21 22 23 24 25

0.123205904 0.106474238 0.045632 0.117122 0.059321361 0.060842422 0.466965588 15.2106 11.2589 3.9517

0.355057747 0.310297972 0.140125 0.34319 0.18186653 0.167945652 1.096167979 148.8314 139.4221 9.4094

0.579726914 0.509651038 0.236276 0.565277 0.306421009 0.267810176 1.573329047 148.8314 135.2238 13.6077

0.231894931 0.203862248 0.094511 0.226111 0.122568541 0.107124132 0.629331619 133.6193 128.1606 5.4587

0.347831983 0.30578879 0.141765 0.339166 0.183852468 0.160686044 0.943997428 15.2121 7.0631 8.1490

Page 85

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Mill

Actual 0 0 0 0 1.585290445 1.641910399 1.873861498 1.272247237

Iteration 50 Cummulative Energy, KWH/ton 25 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.131922967 0.964568765 1.311448384 1.4072967 1.233856891 1.18365063 2.149740797 1.417946513

Internal Feed, tons 15.62563215 19.52177219 33.2468485 46.69027581 12.06024475 4.984364944 3.984725156 2.359219033

To the Grate, tons 14.47347182 18.53314592 31.92148633 45.33164263 12.41755689 5.444784284 3.709784968 2.213437564

Internal Recycle, tons 14.47347182 18.53314592 31.92148633 45.33164263 10.8315156 3.802222394 1.835448993 0.941237568

Mill Discharge, tons 0 0 0 0 1.586041292 1.64256189 1.874335975 1.272199995

Actual 0 0 0 0 1.586041292 1.64256189 1.874335975 1.272199995

Iteration 51 Cummulative Energy, KWH/ton 25.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.132166794 0.964776542 1.311730882 1.407599844 1.234122674 1.183905599 2.150203871 1.418251951

Internal Feed, tons 15.60563861 19.49792247 33.23321721 46.73924248 12.06563827 4.986127993 3.985652863 2.359489519

To the Grate, tons 14.4549525 18.51048698 31.90790106 45.37727888 12.42317783 5.446835252 3.710686128 2.213369643

Internal Recycle, tons 14.4549525 18.51048698 31.90790106 45.37727888 10.8364186 3.803654634 1.83589485 0.941208686

Mill Discharge, tons 0 0 0 0 1.58675923 1.643180619 1.874791279 1.272160957

Actual 0 0 0 0 1.58675923 1.643180619 1.874791279 1.272160957

Iteration 52 Cummulative Energy, KWH/ton 26 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.132400308 0.964975531 1.312001432 1.407890168 1.234377217 1.184149784 2.150647359 1.418544472

Internal Feed, tons 15.58735281 19.47546251 33.21990249 46.78516905 12.07079582 4.987804418 3.986542209 2.359753157

To the Grate, tons 14.43801501 18.48915864 31.89466445 45.42007291 12.42854024 5.448780186 3.711548803 2.213313934

Internal Recycle, tons 14.43801501 18.48915864 31.89466445 45.42007291 10.84109609 3.805012827 1.836321666 0.941184996

Mill Discharge, tons 0 0 0 0 1.587444148 1.643767359 1.875227137 1.272128938

Actual 0 0 0 0 1.587444148 1.643767359 1.875227137 1.272128938

Iteration 53 Cummulative Energy, KWH/ton 26.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.132623425 0.96516566 1.312259936 1.408167564 1.234620427 1.184383097 2.151071101 1.418823968

Internal Feed, tons 15.57063844 19.4543243 33.20692439 46.82824047 12.07571652 4.989395925 3.987392767 2.360008964

To the Grate, tons 14.42253308 18.46909478 31.88179227 45.46019844 12.43364575 5.450622109 3.712372892 2.213268663

Internal Recycle, tons 14.42253308 18.46909478 31.88179227 45.46019844 10.8455495 3.806299086 1.836729391 0.941165745

Mill Discharge, tons 0 0 0 0 1.588096253 1.644323023 1.875643501 1.272102918

Actual 0 0 0 0 1.588096253 1.644323023 1.875643501 1.272102918

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0.689798861 0.949682698 1.250185935 0.954189173 0.23369532 0.559751836 0.490070206 0.472503267 0.413261537 0.402592561

17.15855836

9 10 11 12 13 14 15 16 17 18

0.460984757 0.69528064 0.798735965 0.494455597 0.063898877 0.251031303 0.174961211 0.17343981 0.162789997 0.158225791

0.948979623 1.345498757 1.638444031 1.132275789 0.219988412 0.624551843 0.501828615 0.488516023 0.438329907 0.426636922

1.177923617 1.60013901 2.09025467 1.592314143 0.389858757 0.933434563 0.817072453 0.787712598 0.688920095 0.671123798

0.488048683 0.650314922 0.839852981 0.637942297 0.156119129 0.373585451 0.326921356 0.315129468 0.275587372 0.268459175

0.689874934 0.949824088 1.250401689 0.954371845 0.233739628 0.559849112 0.490151096 0.47258313 0.413332722 0.402664623

0.689874934 0.949824088 1.250401689 0.954371845 0.233739628 0.559849112 0.490151096 0.47258313 0.413332722 0.402664623

17.49528684

9 10 11 12 13 14 15 16 17 18

0.461084057 0.69543041 0.79890802 0.494562108 0.063912642 0.251085378 0.1749989 0.17347717 0.162825063 0.158259874

0.94913274 1.345745332 1.638761001 1.132504405 0.220031771 0.624670829 0.501920256 0.488606638 0.438412435 0.426719049

1.178048776 1.600367548 2.090599885 1.592605985 0.389929456 0.933590504 0.817202245 0.787840746 0.689034323 0.671239391

0.488100541 0.650407802 0.839991687 0.63805922 0.15614744 0.373647863 0.326973288 0.315180734 0.275633067 0.268505414

0.689948236 0.949959745 1.250608198 0.954546764 0.233782015 0.559942641 0.490228957 0.472660011 0.413401256 0.402733977

0.689948236 0.949959745 1.250608198 0.954546764 0.233782015 0.559942641 0.490228957 0.472660011 0.413401256 0.402733977

17.83201925

9 10 11 12 13 14 15 16 17 18

0.461179158 0.695573845 0.799072798 0.494664113 0.063925824 0.251137165 0.175034994 0.17351295 0.162858646 0.158292516

0.949279698 1.345981648 1.639064484 1.132723333 0.220073264 0.624785028 0.502008282 0.488693685 0.438491713 0.42679793

1.178169015 1.600586262 2.090929552 1.592884789 0.38999694 0.933740019 0.817326811 0.787963746 0.689143971 0.671350317

0.488150359 0.65049669 0.840124145 0.63817092 0.156174465 0.373707703 0.327023128 0.315229942 0.275676929 0.268549786

0.690018656 0.950089571 1.250805407 0.954713869 0.233822475 0.560032316 0.490303682 0.472733805 0.413467042 0.402800531

0.690018656 0.950089571 1.250805407 0.954713869 0.233822475 0.560032316 0.490303682 0.472733805 0.413467042 0.402800531

18.16875544

9 10 11 12 13 14 15 16 17 18

0.461270024 0.695710894 0.799230239 0.494761577 0.063938419 0.251186647 0.175069481 0.173547138 0.162890734 0.158323705

0.949420383 1.346207584 1.639354384 1.132932497 0.220112884 0.62489435 0.502092609 0.488777079 0.438567664 0.42687349

1.17828422 1.600795103 2.091243732 1.593150592 0.39006123 0.933883021 0.817446054 0.788081503 0.689248951 0.671456492

0.488198092 0.650581566 0.840250381 0.638277411 0.156200209 0.373764936 0.327070839 0.315277051 0.275718924 0.268592257

0.690086128 0.950213537 1.250993351 0.954873181 0.23386102 0.560118085 0.490375215 0.472804452 0.413530027 0.402864235

0.690086128 0.950213537 1.250993351 0.954873181 0.23386102 0.560118085 0.490375215 0.472804452 0.413530027 0.402864235

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0.347831983 0.30578879 0.141765 0.339166 0.183852468 0.160686044 0.943997428 15.2121 7.0631 8.1490

Deficit 0.0015

19 20 21 22 23 24 25

0.123233549 0.106498129 0.045642 0.117148 0.059334672 0.060856074 0.467070364 15.2140 11.2614 3.9526

0.35512848 0.310360377 0.140153 0.343259 0.181903213 0.167980206 1.096401983 148.8333 139.4221 9.4113

0.579830932 0.509744002 0.236319 0.565382 0.306477449 0.267860655 1.573641195 148.8333 135.2232 13.6101

0.231936539 0.203899434 0.094528 0.226153 0.122591117 0.107144324 0.629456478 133.6178 128.1582 5.4596

0.347894393 0.305844568 0.141791 0.339228 0.183886332 0.160716331 0.944184717 15.2155 7.0650 8.1505

0.347894393 0.305844568 0.141791 0.339228 0.183886332 0.160716331 0.944184717 15.2155 7.0650 8.1505

Deficit 0.0015

19 20 21 22 23 24 25

0.123260094 0.106521069 0.045652 0.117173 0.059347453 0.060869182 0.467170975 15.2173 11.2638 3.9535

0.355196633 0.310420504 0.14018 0.343326 0.18193857 0.168013506 1.096627453 148.8351 139.4221 9.4131

0.579931038 0.50983346 0.236361 0.565482 0.30653178 0.267909252 1.57394175 148.8351 135.2227 13.6124

0.231976582 0.203935218 0.094545 0.226193 0.12261285 0.107163763 0.6295767 133.6164 128.1559 5.4605

0.347954456 0.305898242 0.141816 0.339289 0.18391893 0.16074549 0.94436505 15.2187 7.0668 8.1519

0.347954456 0.305898242 0.141816 0.339289 0.18391893 0.16074549 0.94436505 15.2187 7.0668 8.1519

Deficit 0.0014

19 20 21 22 23 24 25

0.123285517 0.10654304 0.045661 0.117197 0.059359694 0.060881737 0.467267331 15.2204 11.2662 3.9543

0.355262099 0.310478257 0.140206 0.343391 0.181972543 0.1680455 1.096844031 148.8369 139.4221 9.4148

0.580027097 0.509919292 0.236401 0.565578 0.306583926 0.267955898 1.574230279 148.8369 135.2223 13.6146

0.232015006 0.203969551 0.094561 0.226232 0.122633708 0.107182421 0.629692111 133.6151 128.1537 5.4614

0.348012091 0.305949741 0.14184 0.339346 0.183950218 0.160773477 0.944538167 15.2218 7.0686 8.1532

0.348012091 0.305949741 0.14184 0.339346 0.183950218 0.160773477 0.944538167 15.2218 7.0686 8.1532

Deficit 0.0013

19 20 21 22 23 24 25

0.123309808 0.106564032 0.04567 0.11722 0.059371389 0.060893733 0.467359397 15.2234 11.2684 3.9550

0.355324815 0.310533583 0.140231 0.343452 0.182005097 0.168076154 1.097051508 148.8385 139.4221 9.4165

0.580119038 0.510001437 0.236439 0.56567 0.306633847 0.268000556 1.574506538 148.8385 135.2218 13.6167

0.232051783 0.204002409 0.094576 0.226269 0.122653676 0.107200284 0.629802615 133.6138 128.1516 5.4623

0.348067255 0.305999028 0.141863 0.339402 0.18398017 0.160800272 0.944703923 15.2247 7.0703 8.1544

0.348067255 0.305999028 0.141863 0.339402 0.18398017 0.160800272 0.944703923 15.2247 7.0703 8.1544

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Iteration 54 Cummulative Energy, KWH/ton 27 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.132836168 0.96534695 1.312506421 1.408432064 1.234852329 1.184605563 2.151475143 1.419090469

Internal Feed, tons 15.55536925 19.43444173 33.19429869 46.86863051 12.08040182 4.990904649 3.988204534 2.360256214

To the Grate, tons 14.40838976 18.45023125 31.86929638 45.49781859 12.43849801 5.452364381 3.713158647 2.213232306

Internal Recycle, tons 14.40838976 18.45023125 31.86929638 45.49781859 10.849782 3.807515756 1.83711815 0.941150285

Mill Discharge, tons 0 0 0 0 1.588716012 1.644848625 1.876040497 1.272082021

Actual 0 0 0 0 1.588716012 1.644848625 1.876040497 1.272082021

Iteration 55 Cummulative Energy, KWH/ton 27.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.133038651 0.965519495 1.312741017 1.408683806 1.235073045 1.184817299 2.151859696 1.419344116

Internal Feed, tons 15.54142841 19.41575075 33.1820374 46.9065024 12.08485504 4.992333055 3.988977846 2.360494401

To the Grate, tons 14.39547686 18.43250604 31.85718525 45.53308653 12.44310225 5.454010606 3.713906598 2.213203548

Internal Recycle, tons 14.39547686 18.43250604 31.85718525 45.53308653 10.85379816 3.808665354 1.837488206 0.941138056

Mill Discharge, tons 0 0 0 0 1.589304091 1.645345252 1.876418392 1.272065492

Actual 0 0 0 0 1.589304091 1.645345252 1.876418392 1.272065492

Iteration 56 Cummulative Energy, KWH/ton 28 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.133231053 0.965683451 1.312963935 1.408923016 1.235282774 1.185018493 2.152225104 1.419585136

Internal Feed, tons 15.52870792 19.39818949 33.17014919 46.94200954 12.08908093 4.993683847 3.98971331 2.360723192

To the Grate, tons 14.38369431 18.41585928 31.84546441 45.56614614 12.44746491 5.455564547 3.714617501 2.21318126

Internal Recycle, tons 14.38369431 18.41585928 31.84546441 45.56614614 10.8576036 3.809750508 1.837839931 0.941128578

Mill Discharge, tons 0 0 0 0 1.589861316 1.645814039 1.87677757 1.272052682

Actual 0 0 0 0 1.589861316 1.645814039 1.87677757 1.272052682

Iteration 57 Cummulative Energy, KWH/ton 28.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.13341361 0.965839017 1.313175446 1.409149985 1.235481771 1.185209393 2.152571815 1.419813823

Internal Feed, tons 15.51710792 19.3816983 33.15863986 46.97529613 12.09308537 4.9949599 3.990411746 2.360942401

To the Grate, tons 14.37294965 18.40023337 31.83413679 45.5971326 12.45159338 5.457030064 3.715292282 2.21316447

Internal Recycle, tons 14.37294965 18.40023337 31.83413679 45.5971326 10.86120476 3.810773913 1.838173785 0.941121438

Mill Discharge, tons 0 0 0 0 1.590388627 1.646256151 1.877118497 1.272043031

Actual 0 0 0 0 1.590388627 1.646256151 1.877118497 1.272043031

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18.50549524

9 10 11 12 13 14 15 16 17 18

0.461356665 0.695841571 0.799380361 0.494854509 0.063950429 0.251233828 0.175102365 0.173579735 0.162921331 0.158353443

0.949554757 1.346423137 1.639630742 1.13313192 0.220150638 0.624998764 0.502173204 0.488856786 0.438640255 0.4269457

1.178394348 1.600994121 2.091542615 1.593403535 0.390122368 0.9340195 0.817559946 0.788193982 0.689349233 0.67155789

0.488243721 0.650662449 0.84037047 0.63837875 0.156224693 0.373819559 0.327116409 0.315322049 0.275759039 0.268632818

0.690150627 0.950331672 1.251172145 0.955024785 0.233897676 0.560199941 0.490443537 0.472871933 0.413590193 0.402925072

0.690150627 0.950331672 1.251172145 0.955024785 0.233897676 0.560199941 0.490443537 0.472871933 0.413590193 0.402925072

18.84223846

9 10 11 12 13 14 15 16 17 18

0.461439128 0.695965945 0.799523241 0.494942959 0.063961859 0.251278733 0.175133662 0.173610761 0.162950451 0.158381747

0.949682849 1.346628394 1.639893712 1.133321709 0.220186552 0.625098292 0.502250071 0.48893281 0.438709491 0.427014565

1.178499407 1.601183443 2.091826489 1.593643849 0.39018042 0.934149504 0.817668509 0.788301207 0.689444833 0.671654533

0.48828725 0.650739392 0.840484529 0.638475029 0.156247939 0.37387159 0.327159846 0.315364945 0.275797282 0.268671476

0.690212157 0.950444052 1.251341959 0.95516882 0.233932481 0.560277914 0.490508663 0.472936262 0.413647551 0.402983056

0.690212157 0.950444052 1.251341959 0.95516882 0.233932481 0.560277914 0.490508663 0.472936262 0.413647551 0.402983056

19.17898496

9 10 11 12 13 14 15 16 17 18

0.461517485 0.696084128 0.799659009 0.495027006 0.063972721 0.251321403 0.175163402 0.173640242 0.162978122 0.158408642

0.949804735 1.34682352 1.640143538 1.133502035 0.22022066 0.625192993 0.502323248 0.489005187 0.438775404 0.427080118

1.178599447 1.601363259 2.092095719 1.593871833 0.390235464 0.934273128 0.81777181 0.788403239 0.689535808 0.671746481

0.4883287 0.650812471 0.840592705 0.638566368 0.156269982 0.373921067 0.327201178 0.315405763 0.275833675 0.268708257

0.690270747 0.950550788 1.251503015 0.955305465 0.233965482 0.56035206 0.490570632 0.472997476 0.413702133 0.403038224

0.690270747 0.950550788 1.251503015 0.955305465 0.233965482 0.56035206 0.490570632 0.472997476 0.413702133 0.403038224

19.51573455

9 10 11 12 13 14 15 16 17 18

0.461591833 0.696196263 0.799787829 0.495106751 0.063983026 0.251361889 0.17519162 0.173668214 0.163004377 0.15843416

0.949920533 1.347008734 1.640380534 1.13367312 0.220253008 0.625282957 0.502392798 0.489073978 0.438838052 0.427142418

1.178694555 1.601533803 2.092350732 1.594087836 0.39028759 0.934390507 0.817869949 0.788500177 0.689622244 0.671833825

0.488368106 0.650881782 0.840695167 0.638652907 0.156290855 0.373968046 0.327240445 0.315444544 0.275868252 0.268743196

0.690326449 0.950652021 1.251655565 0.955434929 0.233996734 0.560422461 0.490629504 0.473055633 0.413753992 0.403090629

0.690326449 0.950652021 1.251655565 0.955434929 0.233996734 0.560422461 0.490629504 0.473055633 0.413753992 0.403090629

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Deficit 0.0013

19 20 21 22 23 24 25

0.12333297 0.106584048 0.045679 0.117242 0.059382541 0.06090517 0.467447182 15.2263 11.2705 3.9558

0.355384753 0.310586457 0.140255 0.343511 0.182036218 0.168105454 1.097249797 148.8401 139.4221 9.4181

0.58020684 0.510079877 0.236475 0.565758 0.306681528 0.268043211 1.574770442 148.8401 135.2214 13.6188

0.232086905 0.204033786 0.094591 0.226304 0.122672749 0.107217346 0.629908177 133.6126 128.1495 5.4631

0.348119935 0.306046092 0.141884 0.339454 0.184008779 0.160825865 0.944862265 15.2275 7.0718 8.1557

0.348119935 0.306046092 0.141884 0.339454 0.184008779 0.160825865 0.944862265 15.2275 7.0718 8.1557

Deficit 0.0012

19 20 21 22 23 24 25

0.123355014 0.106603099 0.045687 0.117263 0.059393155 0.060916056 0.467530734 15.2290 11.2725 3.9565

0.355441919 0.310636885 0.140278 0.343567 0.182065904 0.168133403 1.09743891 148.8417 139.4221 9.4196

0.580290522 0.510154631 0.23651 0.565842 0.306726978 0.268083873 1.575022032 148.8417 135.2210 13.6207

0.232120378 0.204063687 0.094604 0.226337 0.122690929 0.107233611 0.630008813 133.6115 128.1476 5.4639

0.348170144 0.306090944 0.141905 0.339505 0.184036049 0.160850262 0.945013219 15.2302 7.0733 8.1568

0.348170144 0.306090944 0.141905 0.339505 0.184036049 0.160850262 0.945013219 15.2302 7.0733 8.1568

Deficit 0.0011

19 20 21 22 23 24 25

0.123375961 0.106621201 0.045695 0.117283 0.059403241 0.060926401 0.467610125 15.2316 11.2744 3.9572

0.355496339 0.310684889 0.140299 0.343621 0.18209417 0.168160012 1.097618938 148.8431 139.4221 9.4210

0.580370136 0.510225746 0.236543 0.565922 0.306770225 0.268122565 1.57526145 148.8431 135.2206 13.6225

0.232152224 0.204092134 0.094618 0.226369 0.122708228 0.107249088 0.63010458 133.6104 128.1458 5.4646

0.348217912 0.306133612 0.141925 0.339552 0.184061997 0.160873477 0.94515687 15.2327 7.0748 8.1579

0.348217912 0.306133612 0.141925 0.339552 0.184061997 0.160873477 0.94515687 15.2327 7.0748 8.1579

Deficit 0.0011

19 20 21 22 23 24 25

0.123395837 0.106638377 0.045702 0.117302 0.05941281 0.060936216 0.467685454 15.2341 11.2762 3.9578

0.355548061 0.310730511 0.14032 0.343671 0.182121038 0.168185303 1.097790034 148.8445 139.4221 9.4224

0.580445761 0.510293293 0.236574 0.565997 0.306811309 0.268159323 1.575488918 148.8445 135.2202 13.6242

0.232182475 0.204119153 0.09463 0.226399 0.122724661 0.107263791 0.630195567 133.6094 128.1441 5.4653

0.348263286 0.30617414 0.141944 0.339598 0.184086647 0.160895532 0.945293351 15.2351 7.0761 8.1589

0.348263286 0.30617414 0.141944 0.339598 0.184086647 0.160895532 0.945293351 15.2351 7.0761 8.1589

Deficit 0.0010

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Iteration 58 Cummulative Energy, KWH/ton 29 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.133586598 0.965986429 1.313375871 1.409365058 1.235670338 1.185390287 2.152900354 1.420030524

Internal Feed, tons 15.50653625 19.3662198 33.14751266 47.00649766 12.09687509 4.9961642 3.991074139 2.361151962

To the Grate, tons 14.36315748 18.38557298 31.8232031 45.6261729 12.45549571 5.458411061 3.715932001 2.21315234

Internal Recycle, tons 14.36315748 18.38557298 31.8232031 45.6261729 10.86460865 3.811738296 1.838490292 0.94111628

Mill Discharge, tons 0 0 0 0 1.590887054 1.646672765 1.877441709 1.27203606

Actual 0 0 0 0 1.590887054 1.646672765 1.877441709 1.27203606

Iteration 59 Cummulative Energy, KWH/ton 29.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.133750327 0.96612595 1.313565567 1.409568618 1.23584881 1.185561497 2.153211306 1.420235624

Internal Feed, tons 15.49690781 19.35169893 33.13676866 47.03574152 12.10045746 4.997299794 3.991701597 2.361351904

To the Grate, tons 14.354239 18.37182503 31.8126621 45.65338638 12.45918041 5.459711439 3.716537814 2.213144151

Internal Recycle, tons 14.354239 18.37182503 31.8126621 45.65338638 10.86782272 3.812646381 1.838790023 0.941112798

Mill Discharge, tons 0 0 0 0 1.591357686 1.647065058 1.877747791 1.272031353

Actual 0 0 0 0 1.591357686 1.647065058 1.877747791 1.272031353

Iteration 60 Cummulative Energy, KWH/ton 30 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.133905125 0.966257862 1.313744916 1.409761076 1.236017549 1.18572337 2.153505298 1.420429538

Internal Feed, tons 15.48814412 19.3380829 33.12640702 47.06314745 12.10384027 4.998369751 3.99229532 2.361542336

To the Grate, tons 14.3461215 18.35893876 31.80251091 45.67888516 12.46265632 5.460935067 3.717110946 2.213139282

Internal Recycle, tons 14.3461215 18.35893876 31.80251091 45.67888516 10.87085467 3.81350087 1.839073585 0.941110727

Mill Discharge, tons 0 0 0 0 1.591801649 1.647434198 1.878037361 1.272028554

Actual 0 0 0 0 1.591801649 1.647434198 1.878037361 1.272028554

Iteration 61 Cummulative Energy, KWH/ton 30.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.134051338 0.966382457 1.313914319 1.40994286 1.236176929 1.185876265 2.153782985 1.420612698

Internal Feed, tons 15.48017284 19.32532122 33.11642523 47.08882802 12.1070316 4.999377135 3.99285657 2.361723425

To the Grate, tons 14.33873799 18.34686561 31.79274521 45.70277462 12.46593243 5.462085749 3.717652669 2.213137201

Internal Recycle, tons 14.33873799 18.34686561 31.79274521 45.70277462 10.87371234 3.814304418 1.839341607 0.941109842

Mill Discharge, tons 0 0 0 0 1.592220092 1.647781331 1.878311061 1.272027358

Actual 0 0 0 0 1.592220092 1.647781331 1.878311061 1.272027358

Iteration 62 Cummulative Energy, KWH/ton 31 Cummulative Time, min

Page 92

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Mill

19.85248709

9 10 11 12 13 14 15 16 17 18

0.461662284 0.696302521 0.799909898 0.495182318 0.063992792 0.251400254 0.175218359 0.173694721 0.163029255 0.158458342

0.95003039 1.347184303 1.640605065 1.133835225 0.220283647 0.625368299 0.502458804 0.489139265 0.438897507 0.427201537

1.178784842 1.60169535 2.092591997 1.594292245 0.390336896 0.934501804 0.817963051 0.788592144 0.689704249 0.671916676

0.488405514 0.650947436 0.840792106 0.638734801 0.1563106 0.37401259 0.327277696 0.315481336 0.275901056 0.268776338

0.690379328 0.950747913 1.25179989 0.955557444 0.234026296 0.560489214 0.490685355 0.473110808 0.413803193 0.403140339

0.690379328 0.950747913 1.25179989 0.955557444 0.234026296 0.560489214 0.490685355 0.473110808 0.413803193 0.403140339

20.18924241

9 10 11 12 13 14 15 16 17 18

0.461728964 0.69640309 0.800025432 0.495253839 0.064002035 0.251436564 0.175243666 0.173719808 0.163052802 0.158481228

0.950134478 1.347350527 1.640817538 1.13398864 0.220312635 0.625449154 0.502521362 0.489201144 0.438953858 0.427257566

1.178870442 1.601848197 2.092820014 1.594485477 0.390383488 0.934607206 0.818051263 0.788679283 0.689781951 0.671995167

0.488440981 0.651009555 0.840883722 0.638812217 0.156329258 0.374054774 0.327312991 0.315516196 0.275932139 0.268807735

0.690429461 0.950838642 1.251936291 0.955673259 0.23405423 0.560552431 0.490738272 0.473163086 0.413849812 0.403187432

0.690429461 0.950838642 1.251936291 0.955673259 0.23405423 0.560552431 0.490738272 0.473163086 0.413849812 0.403187432

20.52600037

9 10 11 12 13 14 15 16 17 18

0.461792006 0.696498175 0.800134665 0.495321459 0.064010773 0.251470895 0.175267593 0.173743527 0.163075065 0.158502867

0.950232987 1.34750773 1.641018387 1.134133676 0.220340031 0.625525669 0.502580584 0.489259724 0.439007204 0.427310602

1.178951502 1.601992665 2.093035304 1.594667965 0.390427472 0.934706912 0.818134746 0.788761752 0.689855491 0.672069442

0.488474566 0.651068269 0.840970225 0.638885329 0.156346872 0.37409468 0.327346394 0.315549189 0.275961557 0.268837446

0.690476935 0.950924396 1.252065079 0.955782636 0.234080601 0.560612233 0.490788352 0.473212563 0.413893934 0.403231996

0.690476935 0.950924396 1.252065079 0.955782636 0.234080601 0.560612233 0.490788352 0.473212563 0.413893934 0.403231996

20.86276082

9 10 11 12 13 14 15 16 17 18

0.461851553 0.696587986 0.800237839 0.495385329 0.064019027 0.251503321 0.175290193 0.173765931 0.163096093 0.158523305

0.950326119 1.347656255 1.641208064 1.134270658 0.220365899 0.625598 0.502636587 0.489315119 0.43905765 0.427360751

1.179028182 1.602129083 2.093238401 1.594840156 0.390468961 0.934801137 0.818213671 0.788839719 0.689925018 0.672139653

0.488506337 0.651123711 0.841051828 0.638954315 0.156363486 0.374132391 0.327377973 0.31558038 0.27598937 0.268865532

0.690521845 0.951005372 1.252186573 0.95588584 0.234105475 0.560668746 0.490835698 0.473259339 0.413935648 0.403274122

0.690521845 0.951005372 1.252186573 0.95588584 0.234105475 0.560668746 0.490835698 0.473259339 0.413935648 0.403274122

21.19952362

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Mill

19 20 21 22 23 24 25

0.12341467 0.106654653 0.045709 0.11732 0.059421878 0.060945516 0.467756836 15.2364 11.2780 3.9584

0.355597145 0.310773806 0.140339 0.34372 0.182146539 0.168209307 1.097952403 148.8458 139.4221 9.4237

0.580517495 0.510357361 0.236604 0.566069 0.306850283 0.268194195 1.575704723 148.8458 135.2199 13.6259

0.232211169 0.20414478 0.094642 0.226428 0.122740251 0.10727774 0.630281889 133.6084 128.1425 5.4660

0.348306326 0.306212581 0.141962 0.339641 0.184110032 0.160916455 0.945422834 15.2373 7.0774 8.1599

0.348306326 0.306212581 0.141962 0.339641 0.184110032 0.160916455 0.945422834 15.2373 7.0774 8.1599

Deficit 0.0010

19 20 21 22 23 24 25

0.123432495 0.106670058 0.045716 0.117337 0.059430461 0.060954319 0.467824396 15.2386 11.2796 3.9590

0.355643664 0.310814838 0.140358 0.343765 0.182170712 0.168232058 1.098106285 148.8470 139.4221 9.4249

0.580585452 0.510418052 0.236632 0.566137 0.306887208 0.268227233 1.575909197 148.8470 135.2196 13.6274

0.232238352 0.204169057 0.094653 0.226455 0.122755021 0.107290955 0.630363679 133.6075 128.1409 5.4666

0.3483471 0.306248995 0.141979 0.339682 0.184132187 0.160936278 0.945545518 15.2395 7.0786 8.1609

0.3483471 0.306248995 0.141979 0.339682 0.184132187 0.160936278 0.945545518 15.2395 7.0786 8.1609

Deficit 0.0009

19 20 21 22 23 24 25

0.123449348 0.106684622 0.045722 0.117353 0.059438575 0.060962641 0.467888271 15.2407 11.2811 3.9595

0.3556877 0.310853679 0.140375 0.343809 0.182193596 0.168253596 1.098251949 148.8482 139.4221 9.4261

0.580649756 0.510475478 0.236659 0.566202 0.306922151 0.2682585 1.576102709 148.8482 135.2192 13.6289

0.232264074 0.204192027 0.094664 0.226481 0.122768998 0.107303462 0.630441083 133.6066 128.1395 5.4672

0.348385682 0.306283451 0.141995 0.339721 0.184153153 0.160955038 0.945661625 15.2415 7.0798 8.1617

0.348385682 0.306283451 0.141995 0.339721 0.184153153 0.160955038 0.945661625 15.2415 7.0798 8.1617

Deficit 0.0009

19 20 21 22 23 24 25

0.123465267 0.106698379 0.045728 0.117368 0.059446239 0.060970502 0.467948603 15.2426 11.2826 3.9600

0.355729341 0.310890406 0.140392 0.343849 0.182215238 0.168273964 1.098389687 148.8493 139.4221 9.4272

0.580710542 0.510529758 0.236684 0.566263 0.306955185 0.268288058 1.576285653 148.8493 135.2190 13.6303

0.232288389 0.20421374 0.094674 0.226506 0.122782212 0.107315285 0.630514261 133.6058 128.1381 5.4677

0.348422153 0.306316019 0.14201 0.339757 0.184172973 0.160972773 0.945771392 15.2434 7.0809 8.1626

0.348422153 0.306316019 0.14201 0.339757 0.184172973 0.160972773 0.945771392 15.2434 7.0809 8.1626

Deficit 0.0008

Page 94

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Mill

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.13418932 0.966500039 1.314074186 1.41011441 1.236327337 1.186020553 2.15404504 1.420785547

Internal Feed, tons 15.47292731 19.31336565 33.1068194 47.11288903 12.11003968 5.000324971 3.993386647 2.361895389

To the Grate, tons 14.3320267 18.33555928 31.78335948 45.72515378 12.46901778 5.463167204 3.718164279 2.213137449

Internal Recycle, tons 14.3320267 18.33555928 31.78335948 45.72515378 10.87640361 3.815059624 1.839594731 0.941109948

Mill Discharge, tons 0 0 0 0 1.592614171 1.64810758 1.878569548 1.272027501

Actual 0 0 0 0 1.592614171 1.64810758 1.878569548 1.272027501

Iteration 63 Cummulative Energy, KWH/ton 31.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.134319431 0.966610913 1.314224932 1.410276174 1.236469164 1.186156609 2.154292144 1.420948534

Internal Feed, tons 15.46634613 19.30217019 33.09758441 47.13542996 12.11287277 5.001216233 3.993886875 2.362058482

To the Grate, tons 14.3259308 18.3249756 31.77434716 45.74611572 12.47192137 5.464183051 3.718647082 2.213139633

Internal Recycle, tons 14.3259308 18.3249756 31.77434716 45.74611572 10.87893634 3.815769014 1.839833602 0.941110877

Mill Discharge, tons 0 0 0 0 1.592985034 1.648414037 1.87881348 1.272028756

Actual 0 0 0 0 1.592985034 1.648414037 1.87881348 1.272028756

Iteration 64 Cummulative Energy, KWH/ton 32 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.134442027 0.966715383 1.314366972 1.410428595 1.236602801 1.186284808 2.154524978 1.421102109

Internal Feed, tons 15.46037282 19.29169098 33.08871413 47.15654431 12.11553914 5.002053822 3.99435858 2.362212986

To the Grate, tons 14.32039793 18.31507256 31.76570085 45.76574786 12.4746521 5.465136795 3.719102382 2.213143414

Internal Recycle, tons 14.32039793 18.31507256 31.76570085 45.76574786 10.88131828 3.816435037 1.840058866 0.941112484

Mill Discharge, tons 0 0 0 0 1.593333818 1.648701759 1.879043516 1.272030929

Actual 0 0 0 0 1.593333818 1.648701759 1.879043516 1.272030929

Iteration 65 Cummulative Energy, KWH/ton 32.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.134557465 0.966813754 1.314500719 1.410572117 1.236728635 1.186405522 2.154744218 1.421246717

Internal Feed, tons 15.45495539 19.28188631 33.08020157 47.17631998 12.11804692 5.002840558 3.994803084 2.362359202

To the Grate, tons 14.31537996 18.3058102 31.75741244 45.78413241 12.47721867 5.466031818 3.71953147 2.213148501

Internal Recycle, tons 14.31537996 18.3058102 31.75741244 45.78413241 10.88355704 3.817060052 1.840271161 0.941114648

Mill Discharge, tons 0 0 0 0 1.593661636 1.648971766 1.879260309 1.272033853

Actual 0 0 0 0 1.593661636 1.648971766 1.879260309 1.272033853

Iteration 66 Cummulative Energy, KWH/ton 33 Cummulative Time, min

1 2 3 4 5 6 7 8

Page 95

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Mill

9 10 11 12 13 14 15 16 17 18

0.461907747 0.696672741 0.800335206 0.495445604 0.064026816 0.251533922 0.175311521 0.173787073 0.163115937 0.158542593

0.950414085 1.347796452 1.641387034 1.134399919 0.220390302 0.625666313 0.502689494 0.489367453 0.439105307 0.427408125

1.179100648 1.60225779 2.093429843 1.595002498 0.390508065 0.934890099 0.818288216 0.788913362 0.689990689 0.672205961

0.488536362 0.651176019 0.841128748 0.639019356 0.156379145 0.374167996 0.327407799 0.315609841 0.27601564 0.268892056

0.690564286 0.951081771 1.252301095 0.955983142 0.23412892 0.560722103 0.490880417 0.473303521 0.413975049 0.403313905

0.690564286 0.951081771 1.252301095 0.955983142 0.23412892 0.560722103 0.490880417 0.473303521 0.413975049 0.403313905

21.53628864

9 10 11 12 13 14 15 16 17 18

0.461960736 0.696752661 0.800427017 0.495502439 0.064034161 0.251562777 0.175331632 0.17380701 0.163134649 0.158560781

0.950497098 1.347928679 1.641555766 1.134521795 0.220413306 0.625730773 0.502739431 0.489416851 0.439150289 0.427452836

1.179169073 1.602379126 2.093610167 1.595155444 0.390544894 0.934974023 0.818358564 0.788982859 0.690052664 0.672268528

0.488564713 0.651225331 0.841201202 0.639080632 0.156393893 0.374201584 0.327435946 0.315637644 0.276040432 0.268917084

0.69060436 0.951153795 1.252408965 0.956074812 0.234151001 0.560772439 0.490922618 0.473345215 0.414012232 0.403351445

0.69060436 0.951153795 1.252408965 0.956074812 0.234151001 0.560772439 0.490922618 0.473345215 0.414012232 0.403351445

21.87305575

9 10 11 12 13 14 15 16 17 18

0.462010664 0.696827965 0.800513527 0.495555993 0.064041082 0.251589966 0.175350582 0.173825794 0.163152281 0.158577918

0.950575377 1.348053296 1.641714729 1.134636625 0.220434975 0.62579155 0.502786528 0.489463438 0.439192713 0.427495001

1.179233629 1.602493432 2.093779905 1.595299438 0.390579559 0.935053134 0.818424899 0.789048392 0.690111105 0.67232752

0.48859146 0.651271786 0.841269402 0.639138322 0.156407775 0.374233247 0.327462488 0.315663861 0.27606381 0.268940681

0.690642169 0.951221646 1.252510504 0.956161117 0.234171784 0.560819887 0.490962411 0.473384531 0.414047295 0.403386839

0.690642169 0.951221646 1.252510504 0.956161117 0.234171784 0.560819887 0.490962411 0.473384531 0.414047295 0.403386839

22.20982483

9 10 11 12 13 14 15 16 17 18

0.462057677 0.696898873 0.800594986 0.49560642 0.064047599 0.251615567 0.175368425 0.173843483 0.163168883 0.158594054

0.950649138 1.348170659 1.641864387 1.134744741 0.220455374 0.625848814 0.502830913 0.489507344 0.439232693 0.427534735

1.179294492 1.602601043 2.093939581 1.595434921 0.390612167 0.935127655 0.818487406 0.789110143 0.690166173 0.6723831

0.488616677 0.651315521 0.841333558 0.639192601 0.156420832 0.374263072 0.327487497 0.315688565 0.276085839 0.268962914

0.690677814 0.951285522 1.252606023 0.95624232 0.234191334 0.560864583 0.490999908 0.473421578 0.414080334 0.403420186

0.690677814 0.951285522 1.252606023 0.95624232 0.234191334 0.560864583 0.490999908 0.473421578 0.414080334 0.403420186

22.54659576

9 10 11 12 13 14 15 16 17 18

Page 96

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Mill

19 20 21 22 23 24 25

0.123480289 0.106711361 0.045733 0.117382 0.059453472 0.06097792 0.468005539 15.2445 11.2840 3.9605

0.355768678 0.3109251 0.140408 0.343888 0.182235684 0.168293205 1.098519801 148.8503 139.4221 9.4282

0.580767947 0.510581018 0.236708 0.56632 0.306986383 0.268315973 1.57645844 148.8503 135.2187 13.6316

0.232311351 0.204234244 0.094684 0.226529 0.122794691 0.107326451 0.630583376 133.6051 128.1368 5.4683

0.348456595 0.306346774 0.142024 0.339792 0.184191692 0.160989522 0.945875064 15.2452 7.0819 8.1634

0.348456595 0.306346774 0.142024 0.339792 0.184191692 0.160989522 0.945875064 15.2452 7.0819 8.1634

Deficit 0.0008

19 20 21 22 23 24 25

0.123494454 0.106723602 0.045739 0.117396 0.059460293 0.060984916 0.468059227 15.2462 11.2853 3.9610

0.355805805 0.310957846 0.140422 0.343925 0.182254984 0.168311367 1.098642603 148.8513 139.4221 9.4292

0.580822112 0.510629382 0.23673 0.566374 0.307015822 0.268342316 1.576621493 148.8513 135.2184 13.6329

0.232333018 0.20425359 0.094693 0.22655 0.122806467 0.107336988 0.630648597 133.6043 128.1356 5.4688

0.348489094 0.306375793 0.142037 0.339824 0.184209355 0.161005328 0.945972896 15.2470 7.0828 8.1641

0.348489094 0.306375793 0.142037 0.339824 0.184209355 0.161005328 0.945972896 15.2470 7.0828 8.1641

Deficit 0.0007

19 20 21 22 23 24 25

0.123507801 0.106735137 0.045744 0.117409 0.059466719 0.060991507 0.468109815 15.2479 11.2865 3.9614

0.355840819 0.310988727 0.140436 0.343959 0.182273186 0.168328495 1.098758412 148.8522 139.4221 9.4302

0.580873181 0.51067498 0.236751 0.566426 0.307043579 0.268367154 1.576775236 148.8522 135.2182 13.6340

0.232353446 0.204271829 0.094701 0.226571 0.12281757 0.107346924 0.630710094 133.6037 128.1344 5.4692

0.348519735 0.306403151 0.14205 0.339855 0.18422601 0.16102023 0.946065141 15.2486 7.0838 8.1648

0.348519735 0.306403151 0.14205 0.339855 0.18422601 0.16102023 0.946065141 15.2486 7.0838 8.1648

Deficit 0.0007

19 20 21 22 23 24 25

0.123520369 0.106745998 0.045748 0.117421 0.05947277 0.060997713 0.468157449 15.2494 11.2876 3.9618

0.355873815 0.311017827 0.140449 0.343991 0.18229034 0.168344637 1.098867543 148.8531 139.4221 9.4310

0.580921296 0.510717938 0.236771 0.566474 0.307069732 0.268390556 1.576920095 148.8531 135.2180 13.6351

0.232372692 0.204289012 0.094709 0.22659 0.122828031 0.107356284 0.630768038 133.6030 128.1334 5.4697

0.348548604 0.306428926 0.142062 0.339884 0.184241701 0.161034272 0.946152057 15.2501 7.0846 8.1655

0.348548604 0.306428926 0.142062 0.339884 0.184241701 0.161034272 0.946152057 15.2501 7.0846 8.1655

Deficit 0.0006

19 20 21 22 23 24 25

Page 97

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Mill

Make-up Feed, tons 1.134666096 0.966906324 1.314626579 1.410707176 1.236847048 1.186519116 2.154950529 1.421382798

Internal Feed, tons 15.45004605 19.27271652 33.07203901 47.19483958 12.12040409 5.003579169 3.99522169 2.362497445

To the Grate, tons 14.3108326 18.29715056 31.74947323 45.80134657 12.47962961 5.466871373 3.719935614 2.213154646

Internal Recycle, tons 14.3108326 18.29715056 31.74947323 45.80134657 10.88566003 3.817646334 1.840471115 0.941117261

Mill Discharge, tons 0 0 0 0 1.593969574 1.64922504 1.879464499 1.272037385

Actual 0 0 0 0 1.593969574 1.64922504 1.879464499 1.272037385

Iteration 67 Cummulative Energy, KWH/ton 33.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.134768261 0.966993384 1.314744948 1.410834196 1.236958414 1.186625951 2.155144561 1.421510779

Internal Feed, tons 15.44560087 19.26414394 33.06421818 47.21218076 12.12261845 5.004272284 3.995615675 2.36262804

To the Grate, tons 14.30671519 18.28905762 31.74187409 45.8174629 12.48189314 5.46765858 3.720316053 2.213161635

Internal Recycle, tons 14.30671519 18.28905762 31.74187409 45.8174629 10.88763446 3.818196059 1.84065934 0.941120233

Mill Discharge, tons 0 0 0 0 1.594258686 1.649462521 1.879656713 1.272041402

Actual 0 0 0 0 1.594258686 1.649462521 1.879656713 1.272041402

Iteration 68 Cummulative Energy, KWH/ton 34 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.134864295 0.967075219 1.314856213 1.410953593 1.237063096 1.186726373 2.155326948 1.42163108

Internal Feed, tons 15.44157948 19.25613284 33.0567303 47.2284165 12.12469755 5.004922432 3.995986288 2.362751312

To the Grate, tons 14.30299032 18.28149726 31.73460551 45.83254959 12.48401727 5.468396425 3.720673995 2.213169285

Internal Recycle, tons 14.30299032 18.28149726 31.73460551 45.83254959 10.88948728 3.818711313 1.840836435 0.941123486

Mill Discharge, tons 0 0 0 0 1.594529991 1.649685112 1.87983756 1.272045799

Actual 0 0 0 0 1.594529991 1.649685112 1.87983756 1.272045799

Iteration 69 Cummulative Energy, KWH/ton 34.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.134954521 0.967152105 1.314960749 1.411065769 1.237161447 1.186820722 2.155498304 1.421744105

Internal Feed, tons 15.43794484 19.24864936 33.04956626 47.24361536 12.12664872 5.005532036 3.99633474 2.362867591

To the Grate, tons 14.29962368 18.27443712 31.72765772 45.84667069 12.48600966 5.469087757 3.721010609 2.213177442

Internal Recycle, tons 14.29962368 18.27443712 31.72765772 45.84667069 10.89122519 3.819194087 1.841002978 0.941126955

Mill Discharge, tons 0 0 0 0 1.594784471 1.64989367 1.880007631 1.272050487

Actual 0 0 0 0 1.594784471 1.64989367 1.880007631 1.272050487

Iteration 70 Cummulative Energy, KWH/ton 35 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135039251 0.967224308 1.315058918 1.411171112 1.237253808 1.186909325 2.155659223 1.421850245

Page 98

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0.462101918 0.696965599 0.80067164 0.495653873 0.064053731 0.251639658 0.175385216 0.173860128 0.163184506 0.158609239

0.950718595 1.34828112 1.642005199 1.134846474 0.220474564 0.625902731 0.502872714 0.489548692 0.439270344 0.427572153

1.179351833 1.602702291 2.094089706 1.595562322 0.390642822 0.935197808 0.818546265 0.78916829 0.690218028 0.672435431

0.488640435 0.651356669 0.841393878 0.639243643 0.156433108 0.374291149 0.327511048 0.315711827 0.276106582 0.268983847

0.690711397 0.951345622 1.252695828 0.956318679 0.234209714 0.560906659 0.491035217 0.473456463 0.414111446 0.403451584

0.690711397 0.951345622 1.252695828 0.956318679 0.234209714 0.560906659 0.491035217 0.473456463 0.414111446 0.403451584

22.88336844

9 10 11 12 13 14 15 16 17 18

0.462143526 0.697028354 0.800743733 0.495698501 0.064059499 0.251662316 0.175401008 0.173875782 0.163199199 0.15862352

0.950783961 1.348385023 1.64213761 1.134942144 0.220492607 0.625953465 0.502912056 0.489587609 0.439305781 0.427607368

1.179405823 1.602797498 2.094230776 1.59568206 0.390671627 0.93526381 0.818601656 0.789223012 0.690266828 0.672484674

0.488662805 0.651395362 0.841450559 0.639291614 0.156444644 0.374317565 0.327533211 0.315733719 0.276126104 0.269003545

0.690743018 0.951402136 1.252780217 0.956390445 0.234226984 0.560946245 0.491068445 0.473489293 0.414140725 0.403481129

0.690743018 0.951402136 1.252780217 0.956390445 0.234226984 0.560946245 0.491068445 0.473489293 0.414140725 0.403481129

23.22014277

9 10 11 12 13 14 15 16 17 18

0.462182636 0.697087343 0.800811499 0.495740452 0.06406492 0.251683614 0.175415852 0.173890497 0.16321301 0.158636945

0.950845441 1.348482705 1.642262057 1.135032066 0.220509563 0.626001179 0.502949063 0.489624216 0.439339114 0.427640489

1.179456629 1.602886978 2.094363273 1.595794539 0.390698681 0.935325872 0.818653755 0.78927448 0.690312727 0.672530984

0.488683856 0.651431728 0.841503795 0.639336678 0.156455477 0.374342404 0.327554056 0.315754309 0.276144464 0.269022069

0.690772773 0.95145525 1.252859477 0.956457861 0.234243204 0.560983468 0.491099699 0.473520171 0.414168263 0.403508914

0.690772773 0.95145525 1.252859477 0.956457861 0.234243204 0.560983468 0.491099699 0.473520171 0.414168263 0.403508914

23.55691863

9 10 11 12 13 14 15 16 17 18

0.462219382 0.697142764 0.800875166 0.495779865 0.064070013 0.251703624 0.175429798 0.173904322 0.163225986 0.158649557

0.950903237 1.348574492 1.642378962 1.135116543 0.22052549 0.626046027 0.502983854 0.489658631 0.439370451 0.427671626

1.179504413 1.602971036 2.094487661 1.595900152 0.390724078 0.9353842 0.81870273 0.789322863 0.690355875 0.672574513

0.488703654 0.65146589 0.841553774 0.639378991 0.156465647 0.374365748 0.327573652 0.315773665 0.276161725 0.269039482

0.690800759 0.951505146 1.252933887 0.956521162 0.234258431 0.561018451 0.491129079 0.473549198 0.41419415 0.403535031

0.690800759 0.951505146 1.252933887 0.956521162 0.234258431 0.561018451 0.491129079 0.473549198 0.41419415 0.403535031

23.89369594

9 10 11 12 13 14 15 16 17 18

0.462253889 0.697194809 0.800934956 0.495816877 0.064074796 0.251722415 0.175442895 0.173917305 0.163238172 0.158661401

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0.123532196 0.106756219 0.045753 0.117432 0.059478465 0.061003554 0.468202273 15.2509 11.2887 3.9622

0.355904888 0.311045231 0.140462 0.344022 0.182306495 0.168359838 1.098970312 148.8539 139.4221 9.4318

0.580966597 0.510758383 0.23679 0.566519 0.307094357 0.268412591 1.577056493 148.8539 135.2177 13.6362

0.232390813 0.20430519 0.094717 0.226608 0.122837881 0.107365098 0.630822597 133.6024 128.1323 5.4701

0.348575784 0.306453193 0.142073 0.339911 0.184256476 0.161047493 0.946233896 15.2515 7.0854 8.1661

0.348575784 0.306453193 0.142073 0.339911 0.184256476 0.161047493 0.946233896 15.2515 7.0854 8.1661

Deficit 0.0006

19 20 21 22 23 24 25

0.123543319 0.106765831 0.045757 0.117442 0.05948382 0.061009046 0.46824443 15.2523 11.2897 3.9625

0.355934132 0.311071021 0.140473 0.344051 0.182321701 0.168374145 1.099067028 148.8547 139.4221 9.4326

0.581009224 0.510796438 0.236808 0.566562 0.307117528 0.268433326 1.577184845 148.8547 135.2175 13.6371

0.232407864 0.204320413 0.094724 0.226625 0.122847149 0.107373392 0.630873938 133.6019 128.1314 5.4705

0.34860136 0.306476026 0.142084 0.339937 0.184270379 0.161059934 0.946310907 15.2528 7.0862 8.1667

0.34860136 0.306476026 0.142084 0.339937 0.184270379 0.161059934 0.946310907 15.2528 7.0862 8.1667

Deficit 0.0006

19 20 21 22 23 24 25

0.123553774 0.106774866 0.045761 0.117452 0.059488854 0.061014209 0.468284057 15.2536 11.2907 3.9629

0.355961638 0.311095279 0.140484 0.344078 0.182336003 0.168387602 1.099157995 148.8554 139.4221 9.4333

0.581049311 0.510832225 0.236824 0.566602 0.30713932 0.268452826 1.577305555 148.8554 135.2174 13.6380

0.232423899 0.204334728 0.09473 0.226641 0.122855866 0.107381192 0.630922222 133.6013 128.1305 5.4708

0.348625412 0.306497498 0.142094 0.339961 0.184283454 0.161071634 0.946383333 15.2541 7.0869 8.1672

0.348625412 0.306497498 0.142094 0.339961 0.184283454 0.161071634 0.946383333 15.2541 7.0869 8.1672

Deficit 0.0005

19 20 21 22 23 24 25

0.123563597 0.106783355 0.045764 0.117462 0.059493584 0.06101906 0.468321288 15.2548 11.2916 3.9632

0.355987496 0.311118083 0.140495 0.344103 0.18234945 0.168400253 1.09924351 148.8561 139.4221 9.4340

0.581086991 0.510865862 0.23684 0.56664 0.307159803 0.268471156 1.57741902 148.8561 135.2172 13.6389

0.232438971 0.204348182 0.094736 0.226656 0.122864059 0.107388524 0.630967608 133.6008 128.1296 5.4712

0.34864802 0.30651768 0.142103 0.339983 0.184295744 0.161082632 0.946451412 15.2553 7.0875 8.1677

0.34864802 0.30651768 0.142103 0.339983 0.184295744 0.161082632 0.946451412 15.2553 7.0875 8.1677

Deficit 0.0005

19 20 21 22 23 24 25

0.123572822 0.106791327 0.045768 0.11747 0.059498025 0.061023616 0.46835625 15.2559 11.2924 3.9635

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Internal Feed, tons 15.43466293 19.24166143 33.04271664 47.2578418 12.128479 5.006103412 3.996662201 2.3629772

To the Grate, tons 14.29658376 18.2678466 31.72102078 45.85988635 12.48787772 5.469735292 3.721327024 2.213185972

Internal Recycle, tons 14.29658376 18.2678466 31.72102078 45.85988635 10.89285465 3.819646276 1.841159527 0.941130582

Mill Discharge, tons 0 0 0 0 1.595023069 1.650089016 1.880167497 1.27205539

Actual 0 0 0 0 1.595023069 1.650089016 1.880167497 1.27205539

Iteration 71 Cummulative Energy, KWH/ton 35.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135118786 0.967292084 1.315151067 1.411269997 1.237340505 1.186992494 2.155810276 1.421949878

Internal Feed, tons 15.43170255 19.23513869 33.03617184 47.27115635 12.13019515 5.006638771 3.996969803 2.363080459

To the Grate, tons 14.29384167 18.26169676 31.71468459 45.87225311 12.48962849 5.470341615 3.721624329 2.213194762

Internal Recycle, tons 14.29384167 18.26169676 31.71468459 45.87225311 10.8943818 3.820069686 1.841306621 0.941134319

Mill Discharge, tons 0 0 0 0 1.595246688 1.650271929 1.880317708 1.272060442

Actual 0 0 0 0 1.595246688 1.650271929 1.880317708 1.272060442

Iteration 72 Cummulative Energy, KWH/ton 36 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135193415 0.967355679 1.315237532 1.411362781 1.237421854 1.187070533 2.15595201 1.422043364

Internal Feed, tons 15.42903508 19.22905244 33.02992212 47.28361589 12.13180366 5.007140219 3.997258631 2.363177684

To the Grate, tons 14.29137088 18.25596025 31.70863905 45.88382405 12.49126875 5.470909178 3.721903568 2.213203716

Internal Recycle, tons 14.29137088 18.25596025 31.70863905 45.88382405 10.89581255 3.820466029 1.841444777 0.941138127

Mill Discharge, tons 0 0 0 0 1.595456191 1.650443149 1.88045879 1.272065589

Actual 0 0 0 0 1.595456191 1.650443149 1.88045879 1.272065589

Iteration 73 Cummulative Energy, KWH/ton 36.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135263414 0.967415328 1.315318632 1.411449809 1.237498156 1.187143731 2.156084951 1.42213105

Internal Feed, tons 15.4266343 19.22337558 33.02395768 47.29527386 12.13331071 5.00760976 3.997529728 2.363269178

To the Grate, tons 14.28914712 18.25061124 31.70287401 45.89464904 12.49280493 5.47144031 3.722165741 2.213212754

Internal Recycle, tons 14.28914712 18.25061124 31.70287401 45.89464904 10.89715252 3.82083693 1.84157449 0.941141971

Mill Discharge, tons 0 0 0 0 1.595652401 1.650603379 1.880591251 1.272070783

Actual 0 0 0 0 1.595652401 1.650603379 1.880591251 1.272070783

Iteration 74 Cummulative Energy, KWH/ton 37 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135329046 0.967471257 1.315394674 1.411531408 1.2375697 1.187212363 2.1562096 1.422213268

Internal Feed, tons 15.42447617 19.2180825 33.01826868 47.30618044 12.13472222 5.008049293 3.99778409 2.363355238

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0.950957543 1.348660699 1.64248873 1.135195868 0.220540444 0.626088163 0.503016547 0.48969097 0.439399897 0.427700882

1.179549334 1.603049964 2.094604388 1.595999275 0.39074791 0.935438992 0.818748748 0.789368324 0.690396417 0.672615409

0.488722266 0.651497967 0.841600674 0.639418703 0.156475191 0.374387677 0.327592064 0.315791852 0.276177943 0.269055841

0.690827068 0.951551997 1.253003714 0.956580572 0.234272719 0.561051314 0.491156684 0.473576472 0.414218474 0.403559568

0.690827068 0.951551997 1.253003714 0.956580572 0.234272719 0.561051314 0.491156684 0.473576472 0.414218474 0.403559568

24.23047461

9 10 11 12 13 14 15 16 17 18

0.46228628 0.697243663 0.800991079 0.49585162 0.064079286 0.251740053 0.175455189 0.173929491 0.16324961 0.158672519

0.951008546 1.34874163 1.642591753 1.135270324 0.220554477 0.626127731 0.503047253 0.489721343 0.439427553 0.427728359

1.179591543 1.603124045 2.094713882 1.59609227 0.390770265 0.93549044 0.818791968 0.78941102 0.690434492 0.672653813

0.488739754 0.651528074 0.841644668 0.639455961 0.156484143 0.374408268 0.327609357 0.315808933 0.276193174 0.269071203

0.690851788 0.95159597 1.253069214 0.95663631 0.234286122 0.561082172 0.491182611 0.473602087 0.414241319 0.40358261

0.690851788 0.95159597 1.253069214 0.95663631 0.234286122 0.561082172 0.491182611 0.473602087 0.414241319 0.40358261

24.56725456

9 10 11 12 13 14 15 16 17 18

0.462316673 0.697289504 0.80104374 0.49588422 0.064083499 0.251756604 0.175466724 0.173940926 0.163260343 0.15868295

0.951056427 1.348817578 1.642688409 1.135340181 0.220567642 0.626164872 0.503076081 0.489749859 0.439453517 0.427754153

1.179631187 1.603193548 2.094816553 1.596179483 0.390791227 0.935538729 0.818832542 0.789451102 0.690470237 0.672689862

0.48875618 0.651556321 0.841685921 0.639490901 0.156492537 0.374427595 0.327625591 0.315824968 0.276207473 0.269085623

0.690875007 0.951637227 1.253130632 0.956688582 0.23429869 0.561111134 0.491206951 0.473626134 0.414262764 0.403604239

0.690875007 0.951637227 1.253130632 0.956688582 0.23429869 0.561111134 0.491206951 0.473626134 0.414262764 0.403604239

24.90403571

9 10 11 12 13 14 15 16 17 18

0.462345181 0.6973325 0.801093135 0.495914798 0.064087451 0.251772128 0.175477544 0.173951652 0.16327041 0.158692735

0.951101361 1.348888822 1.642779056 1.135405699 0.220579988 0.626199723 0.503103135 0.48977662 0.439477883 0.427778358

1.179668408 1.603258733 2.094912793 1.596261244 0.390810875 0.935584035 0.818870617 0.789488715 0.69050378 0.672723688

0.488771602 0.651582814 0.84172459 0.639523658 0.156500405 0.374445727 0.327640825 0.315840015 0.276220891 0.269099154

0.690896806 0.95167592 1.253188203 0.956737586 0.23431047 0.561138307 0.491229792 0.4736487 0.414282889 0.403624534

0.690896806 0.95167592 1.253188203 0.956737586 0.23431047 0.561138307 0.491229792 0.4736487 0.414282889 0.403624534

25.24081798

9 10 11 12 13 14 15 16 17 18

0.46237191 0.697372815 0.801139448 0.495943468 0.064091156 0.251786684 0.175487689 0.173961709 0.163279849 0.15870191

0.951143512 1.348955628 1.642864038 1.135467126 0.220591561 0.626232411 0.503128514 0.489801724 0.43950074 0.427801064

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0.356011793 0.31113951 0.140504 0.344127 0.182362084 0.16841214 1.099323858 148.8567 139.4221 9.4347

0.581122391 0.510897462 0.236854 0.566675 0.307179047 0.268488377 1.577525621 148.8567 135.2170 13.6397

0.232453132 0.204360822 0.094742 0.226671 0.122871757 0.107395413 0.631010248 133.6004 128.1289 5.4715

0.348669259 0.306536639 0.142112 0.340005 0.18430729 0.161092964 0.946515373 15.2564 7.0882 8.1682

0.348669259 0.306536639 0.142112 0.340005 0.18430729 0.161092964 0.946515373 15.2564 7.0882 8.1682

Deficit 0.0005

19 20 21 22 23 24 25

0.123581481 0.106798811 0.045771 0.117479 0.059502194 0.061027892 0.468389069 15.2570 11.2932 3.9638

0.356034612 0.311159633 0.140513 0.344149 0.182373951 0.168423304 1.099399318 148.8573 139.4221 9.4353

0.581155633 0.510927135 0.236868 0.566709 0.307197119 0.268504549 1.577625729 148.8573 135.2169 13.6405

0.232466429 0.204372692 0.094748 0.226684 0.122878986 0.107401881 0.631050292 133.5999 128.1281 5.4718

0.348689205 0.306554443 0.14212 0.340025 0.184318133 0.161102667 0.946575438 15.2574 7.0887 8.1687

0.348689205 0.306554443 0.14212 0.340025 0.184318133 0.161102667 0.946575438 15.2574 7.0887 8.1687

Deficit 0.0004

19 20 21 22 23 24 25

0.123589606 0.106805832 0.045774 0.117486 0.059506106 0.061031904 0.468419863 15.2580 11.2940 3.9640

0.356056034 0.311178524 0.140522 0.34417 0.182385092 0.168433785 1.099470155 148.8579 139.4221 9.4358

0.581186837 0.510954987 0.236881 0.56674 0.307214083 0.268519729 1.577719699 148.8579 135.2167 13.6412

0.232478911 0.204383833 0.094753 0.226696 0.122885771 0.107407953 0.63108788 133.5995 128.1274 5.4721

0.348707927 0.306571155 0.142128 0.340043 0.184328312 0.161111775 0.94663182 15.2584 7.0893 8.1691

0.348707927 0.306571155 0.142128 0.340043 0.184328312 0.161111775 0.94663182 15.2584 7.0893 8.1691

Deficit 0.0004

19 20 21 22 23 24 25

0.123597226 0.106812418 0.045777 0.117494 0.059509776 0.061035667 0.468448747 15.2589 11.2947 3.9643

0.356076137 0.311196251 0.14053 0.34419 0.182395547 0.168443621 1.099536627 148.8584 139.4221 9.4364

0.581216115 0.510981121 0.236893 0.566769 0.30723 0.268533973 1.577807873 148.8584 135.2166 13.6418

0.232490622 0.204394286 0.094758 0.226708 0.122892138 0.107413651 0.631123149 133.5991 128.1268 5.4724

0.348725493 0.306586834 0.142135 0.340061 0.184337862 0.161120322 0.946684724 15.2593 7.0898 8.1695

0.348725493 0.306586834 0.142135 0.340061 0.184337862 0.161120322 0.946684724 15.2593 7.0898 8.1695

Deficit 0.0004

19 20 21 22 23 24 25

0.123604372 0.106818593 0.045779 0.1175 0.059513216 0.061039196 0.46847583 15.2598 11.2953 3.9645

0.356094994 0.311212879 0.140537 0.344209 0.182405354 0.168452847 1.099598979 148.8589 139.4221 9.4369

Page 103

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Mill

To the Grate, tons 14.28714812 18.24562537 31.69737939 45.90477488 12.49424316 5.471937214 3.722411806 2.213221808

Internal Recycle, tons 14.28714812 18.24562537 31.69737939 45.90477488 10.89840706 3.821183931 1.841696233 0.94114582

Mill Discharge, tons 0 0 0 0 1.595836101 1.650753283 1.880715573 1.272075987

Actual 0 0 0 0 1.595836101 1.650753283 1.880715573 1.272075987

Iteration 75 Cummulative Energy, KWH/ton 37.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135390565 0.96752368 1.31546595 1.411607893 1.237636758 1.187276693 2.156326435 1.422290331

Internal Feed, tons 15.42253869 19.21314905 33.01284534 47.31638278 12.13604382 5.008460623 3.998022668 2.363436151

To the Grate, tons 14.2853535 18.24097963 31.69214519 45.91424556 12.49558928 5.472401978 3.722642676 2.21323082

Internal Recycle, tons 14.2853535 18.24097963 31.69214519 45.91424556 10.89958125 3.821508486 1.841810458 0.941149653

Mill Discharge, tons 0 0 0 0 1.596008035 1.650893492 1.880832218 1.272081167

Actual 0 0 0 0 1.596008035 1.650893492 1.880832218 1.272081167

Iteration 76 Cummulative Energy, KWH/ton 38 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135448209 0.967572802 1.315532737 1.411679561 1.237699593 1.187336971 2.156435913 1.422362541

Internal Feed, tons 15.42080171 19.20855244 33.00767793 47.32592512 12.13728084 5.008845457 3.99824637 2.363512194

To the Grate, tons 14.28374461 18.23665239 31.68716152 45.92310234 12.49684882 5.472836574 3.722859222 2.213239743

Internal Recycle, tons 14.28374461 18.23665239 31.68716152 45.92310234 10.90067991 3.821811975 1.841917596 0.941153447

Mill Discharge, tons 0 0 0 0 1.59616891 1.651024599 1.880941626 1.272086296

Actual 0 0 0 0 1.59616891 1.651024599 1.880941626 1.272086296

Iteration 77 Cummulative Energy, KWH/ton 38.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135502207 0.967618816 1.315595298 1.411746695 1.237758454 1.187393436 2.156538465 1.422430183

Internal Feed, tons 15.41924681 19.20427121 33.00275682 47.33484903 12.13843836 5.009205412 3.998456061 2.363583631

To the Grate, tons 14.28230436 18.23262323 31.68241864 45.93138396 12.49802701 5.473242865 3.723062272 2.213248538

Internal Recycle, tons 14.28230436 18.23262323 31.68241864 45.93138396 10.90170762 3.822095698 1.842018056 0.941157187

Mill Discharge, tons 0 0 0 0 1.596319396 1.651147167 1.881044215 1.272091351

Actual 0 0 0 0 1.596319396 1.651147167 1.881044215 1.272091351

Iteration 78 Cummulative Energy, KWH/ton 39 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135552774 0.967661907 1.315653886 1.411809565 1.237813575 1.187446315 2.156634503 1.422493529

Internal Feed, tons 15.41785713 19.20028513 32.99807253 47.34319353 12.13952119 5.009542013 3.998652559 2.363650716

To the Grate, tons 14.28101714 18.22887293 31.67790698 45.93912681 12.49912883 5.473622608 3.723252613 2.213257173

Page 104

Page 105: SAGSim Open

Mill

1.17970334 1.603319848 2.095002975 1.596337869 0.390829286 0.935626526 0.818906335 0.789523999 0.690535246 0.672755416

0.488786075 0.651607651 0.841760824 0.639554357 0.156507778 0.374462734 0.327655116 0.31585413 0.276233478 0.269111845

0.690917265 0.951712197 1.253242151 0.956783512 0.234321508 0.561163793 0.491251218 0.473669868 0.414301768 0.40364357

0.690917265 0.951712197 1.253242151 0.956783512 0.234321508 0.561163793 0.491251218 0.473669868 0.414301768 0.40364357

25.5776013

9 10 11 12 13 14 15 16 17 18

0.462396964 0.697410602 0.801182858 0.495970341 0.064094629 0.251800327 0.175497197 0.173971135 0.163288697 0.158710509

0.951183039 1.349018253 1.642943682 1.135524698 0.220602407 0.626263061 0.503152314 0.489825265 0.439522175 0.427822354

1.179736113 1.603377127 2.095087453 1.596409658 0.390846533 0.935666365 0.818939829 0.789557086 0.690564752 0.672785165

0.488799654 0.65163093 0.841794767 0.639583118 0.156514684 0.374478678 0.327668518 0.315867367 0.276245281 0.269123745

0.690936459 0.951746197 1.253292686 0.95682654 0.234331848 0.561187687 0.491271311 0.473689718 0.41431947 0.403661419

0.690936459 0.951746197 1.253292686 0.95682654 0.234331848 0.561187687 0.491271311 0.473689718 0.41431947 0.403661419

25.91438561

9 10 11 12 13 14 15 16 17 18

0.46242044 0.69744601 0.801223534 0.495995521 0.064097883 0.251813111 0.175506108 0.173979967 0.163296987 0.158718567

0.951220094 1.34907694 1.643018301 1.13557864 0.220612567 0.626291789 0.503174626 0.489847334 0.439542268 0.427842312

1.179766851 1.603430795 2.095166566 1.596476896 0.390862684 0.935703705 0.818971228 0.789588102 0.690592412 0.67281305

0.48881239 0.651652741 0.841826554 0.639610056 0.156521152 0.374493623 0.327681081 0.315879775 0.276256346 0.2691349

0.690954461 0.951778054 1.253340012 0.95686684 0.234341532 0.561210082 0.491290147 0.473708327 0.414336066 0.40367815

0.690954461 0.951778054 1.253340012 0.95686684 0.234341532 0.561210082 0.491290147 0.473708327 0.414336066 0.40367815

26.25117084

9 10 11 12 13 14 15 16 17 18

0.462442431 0.697479178 0.801261638 0.496019109 0.064100931 0.251825086 0.175514454 0.173988241 0.163304753 0.158726115

0.95125482 1.349131919 1.643088192 1.135629165 0.220622083 0.626318709 0.503195535 0.489868017 0.439561099 0.427861015

1.179795669 1.603481065 2.095240633 1.596539854 0.390877805 0.935738692 0.819000654 0.789617169 0.690618333 0.672839179

0.48882433 0.651673172 0.841856314 0.63963528 0.156527207 0.374507625 0.327692855 0.315891404 0.276266715 0.269145352

0.690971339 0.951807893 1.253384319 0.956904574 0.234350597 0.561231067 0.491307799 0.473725765 0.414351617 0.403693827

0.690971339 0.951807893 1.253384319 0.956904574 0.234350597 0.561231067 0.491307799 0.473725765 0.414351617 0.403693827

26.58795694

9 10 11 12 13 14 15 16 17 18

0.462463025 0.697510239 0.801297321 0.496041198 0.064103786 0.251836301 0.17552227 0.17399599 0.163312025 0.158733184

0.951287355 1.349183411 1.643153635 1.135676478 0.220630993 0.626343926 0.503215125 0.489887393 0.43957874 0.427878536

1.179822682 1.603528139 2.095309958 1.596598788 0.390891957 0.935771464 0.819028222 0.789644401 0.690642617 0.672863657

Page 105

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Mill

0.581243577 0.511005632 0.236905 0.566797 0.30724493 0.268547333 1.577890577 148.8589 135.2164 13.6425

0.232501607 0.204404091 0.094762 0.226719 0.12289811 0.107418995 0.631156231 133.5988 128.1261 5.4726

0.34874197 0.306601541 0.142142 0.340077 0.18434682 0.161128338 0.946734346 15.2602 7.0903 8.1699

0.34874197 0.306601541 0.142142 0.340077 0.18434682 0.161128338 0.946734346 15.2602 7.0903 8.1699

Deficit 0.0004

19 20 21 22 23 24 25

0.12361107 0.106824381 0.045782 0.117507 0.059516441 0.061042503 0.468501214 15.2606 11.2959 3.9647

0.356112677 0.311228472 0.140544 0.344226 0.182414551 0.168461499 1.099657445 148.8594 139.4221 9.4373

0.581269326 0.511028613 0.236915 0.566822 0.307258929 0.26855986 1.577968123 148.8594 135.2163 13.6431

0.232511907 0.204413283 0.094767 0.226729 0.12290371 0.107424006 0.631187249 133.5984 128.1256 5.4728

0.34875742 0.30661533 0.142149 0.340093 0.184355219 0.161135854 0.946780874 15.2610 7.0908 8.1702

0.34875742 0.30661533 0.142149 0.340093 0.184355219 0.161135854 0.946780874 15.2610 7.0908 8.1702

Deficit 0.0003

19 20 21 22 23 24 25

0.123617345 0.106829805 0.045784 0.117513 0.059519463 0.061045603 0.468525 15.2614 11.2965 3.9649

0.356129252 0.311243088 0.140551 0.344242 0.182423172 0.168469609 1.099712249 148.8598 139.4221 9.4378

0.581293462 0.511050153 0.236925 0.566847 0.30727205 0.268571602 1.578040809 148.8598 135.2162 13.6436

0.232521561 0.2044219 0.094771 0.226739 0.122908958 0.107428703 0.631216324 133.5981 128.1250 5.4731

0.348771901 0.306628254 0.142155 0.340107 0.184363092 0.161142899 0.946824485 15.2617 7.0912 8.1705

0.348771901 0.306628254 0.142155 0.340107 0.184363092 0.161142899 0.946824485 15.2617 7.0912 8.1705

Deficit 0.0003

19 20 21 22 23 24 25

0.123623224 0.106834885 0.045786 0.117518 0.059522293 0.061048506 0.468547281 15.2621 11.2970 3.9651

0.356144785 0.311256785 0.140557 0.344258 0.182431251 0.168477209 1.099763605 148.8602 139.4221 9.4382

0.581316077 0.511070337 0.236935 0.566869 0.307284346 0.268582605 1.578108918 148.8602 135.2161 13.6441

0.232530608 0.204429973 0.094774 0.226748 0.122913876 0.107433104 0.631243567 133.5978 128.1245 5.4733

0.34878547 0.306640364 0.14216 0.340121 0.18437047 0.161149501 0.946865351 15.2624 7.0916 8.1708

0.34878547 0.306640364 0.14216 0.340121 0.18437047 0.161149501 0.946865351 15.2624 7.0916 8.1708

Deficit 0.0003

19 20 21 22 23 24 25

0.123628729 0.106839643 0.045788 0.117524 0.059524944 0.061051224 0.468568147 15.2628 11.2975 3.9653

0.356159337 0.311269616 0.140563 0.344272 0.18243882 0.168484328 1.099811715 148.8606 139.4221 9.4385

0.581337263 0.511089244 0.236943 0.566891 0.307295864 0.268592912 1.57817272 148.8606 135.2160 13.6446

Page 106

Page 107: SAGSim Open

Mill

Internal Recycle, tons 14.28101714 18.22887293 31.67790698 45.93912681 10.9026687 3.822360882 1.842112229 0.941160859

Mill Discharge, tons 0 0 0 0 1.596460126 1.651261727 1.881140384 1.272096314

Actual 0 0 0 0 1.596460126 1.651261727 1.881140384 1.272096314

Iteration 79 Cummulative Energy, KWH/ton 39.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135600117 0.96770225 1.315708738 1.411868425 1.237865182 1.187495822 2.156724416 1.422552835

Internal Feed, tons 15.41661726 19.19657518 32.99361572 47.35099524 12.14053388 5.009856703 3.998836645 2.363713694

To the Grate, tons 14.27986869 18.22538344 31.67361716 45.94636502 12.50015895 5.473977462 3.723430992 2.213265622

Internal Recycle, tons 14.27986869 18.22538344 31.67361716 45.94636502 10.90356725 3.822608684 1.842200484 0.941164452

Mill Discharge, tons 0 0 0 0 1.596591699 1.651368778 1.881230508 1.27210117

Actual 0 0 0 0 1.596591699 1.651368778 1.881230508 1.27210117

Iteration 80 Cummulative Energy, KWH/ton 40 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.13564443 0.967740011 1.315760078 1.411923518 1.237913484 1.187542159 2.156808574 1.422608345

Internal Feed, tons 15.41551312 19.19312346 32.98937724 47.35828854 12.14148074 5.010150843 3.999009058 2.363772797

To the Grate, tons 14.27884597 18.22213776 31.66954002 45.95313061 12.50112182 5.474308988 3.723598117 2.213273864

Internal Recycle, tons 14.27884597 18.22213776 31.66954002 45.95313061 10.90440714 3.822840197 1.842283171 0.941167957

Mill Discharge, tons 0 0 0 0 1.596714682 1.651468791 1.881314947 1.272105907

Actual 0 0 0 0 1.596714682 1.651468791 1.881314947 1.272105907

Iteration 81 Cummulative Energy, KWH/ton 40.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135685895 0.967775346 1.315808121 1.411975072 1.237958684 1.18758552 2.156887325 1.422660288

Internal Feed, tons 15.41453187 19.1899131 32.98534814 47.36510568 12.14236582 5.010425716 3.999170496 2.363828245

To the Grate, tons 14.27793707 18.2191199 31.66566662 45.95945365 12.50202161 5.474618657 3.72375466 2.213281883

Internal Recycle, tons 14.27793707 18.2191199 31.66566662 45.95945365 10.905192 3.823056446 1.842360622 0.941171367

Mill Discharge, tons 0 0 0 0 1.596829609 1.651562211 1.881394039 1.272110516

Actual 0 0 0 0 1.596829609 1.651562211 1.881394039 1.272110516

Iteration 82 Cummulative Energy, KWH/ton 41 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135724688 0.967808404 1.315853066 1.412023302 1.23800097 1.187626085 2.156961 1.422708883

Internal Feed, tons 15.41366176 19.18692831 32.98151968 47.37147695 12.14319298 5.010682531 3.999321622 2.36388025

To the Grate, tons 14.27713112 18.21631487 31.66198824 45.96536234 12.50286228 5.474907853 3.723901255 2.213289667

Internal Recycle, tons 14.27713112 18.21631487 31.66198824 45.96536234 10.90592529 3.823258398 1.842433151 0.941174677

Page 107

Page 108: SAGSim Open

Mill

0.488835522 0.651692303 0.841884168 0.639658891 0.156532875 0.374520742 0.327703885 0.315902298 0.276276429 0.269155143

0.69098716 0.951835836 1.25342579 0.956939897 0.234359083 0.561250723 0.491324337 0.473742103 0.414366187 0.403708513

0.69098716 0.951835836 1.25342579 0.956939897 0.234359083 0.561250723 0.491324337 0.473742103 0.414366187 0.403708513

26.92474385

9 10 11 12 13 14 15 16 17 18

0.462482306 0.697539319 0.801330728 0.496061879 0.064106458 0.2518468 0.175529588 0.174003244 0.163318834 0.158739801

0.951317828 1.349231622 1.643214896 1.13572077 0.220639333 0.626367542 0.503233473 0.489905542 0.439595264 0.427894945

1.179847993 1.603572209 2.095374828 1.596653942 0.390905201 0.935802155 0.819054043 0.789669906 0.690665361 0.67288658

0.488846009 0.651710214 0.841910233 0.639680988 0.156538178 0.374533025 0.327714217 0.315912502 0.276285528 0.269164313

0.691001984 0.951861995 1.253464596 0.956972954 0.234367023 0.56126913 0.491339827 0.473757404 0.414379834 0.403722267

0.691001984 0.951861995 1.253464596 0.956972954 0.234367023 0.56126913 0.491339827 0.473757404 0.414379834 0.403722267

27.26153152

9 10 11 12 13 14 15 16 17 18

0.462500352 0.697566538 0.801361997 0.496081236 0.06410896 0.251856628 0.175536437 0.174010034 0.163325207 0.158745996

0.951346362 1.349276752 1.64327223 1.135762224 0.220647138 0.626389652 0.503250654 0.489922535 0.439610735 0.427910309

1.179871705 1.603613455 2.095435515 1.596705545 0.39091759 0.935830887 0.819078221 0.789693788 0.690686658 0.672908043

0.488855834 0.651726977 0.841934617 0.639701662 0.156543139 0.374544524 0.327723891 0.315922056 0.276294047 0.269172899

0.691015871 0.951886479 1.253500899 0.957003883 0.23437445 0.561286363 0.491354331 0.473771732 0.414392611 0.403735144

0.691015871 0.951886479 1.253500899 0.957003883 0.23437445 0.561286363 0.491354331 0.473771732 0.414392611 0.403735144

27.5983199

9 10 11 12 13 14 15 16 17 18

0.46251724 0.697592008 0.801391257 0.496099349 0.064111301 0.251865824 0.175542847 0.174016387 0.16333117 0.158751792

0.951373074 1.349318985 1.643325873 1.135801011 0.22065444 0.626410348 0.503266737 0.489938443 0.439625218 0.42792469

1.179893913 1.603652051 2.095492275 1.596753814 0.390929177 0.935857781 0.819100855 0.789716144 0.690706595 0.672928133

0.488865035 0.651742662 0.841957422 0.639721001 0.156547779 0.374555288 0.327732947 0.315931 0.276302022 0.269180935

0.691028878 0.951909388 1.253534853 0.957032814 0.234381398 0.561302493 0.491367909 0.473785145 0.414404572 0.403747198

0.691028878 0.951909388 1.253534853 0.957032814 0.234381398 0.561302493 0.491367909 0.473785145 0.414404572 0.403747198

27.93510894

9 10 11 12 13 14 15 16 17 18

0.462533038 0.697615837 0.801418631 0.496116295 0.06411349 0.251874427 0.175548843 0.174022331 0.163336749 0.158757214

0.951398074 1.349358499 1.643376053 1.135837296 0.22066127 0.626429715 0.50328179 0.489953331 0.439638772 0.427938149

1.179914707 1.603688156 2.095545351 1.596798955 0.390940012 0.935882946 0.819122039 0.789737068 0.690725253 0.672946933

0.488873651 0.651757336 0.841978748 0.639739086 0.156552118 0.37456536 0.327741423 0.31593937 0.276309486 0.269188455

Page 108

Page 109: SAGSim Open

Mill

0.232539082 0.204437536 0.094778 0.226757 0.122918484 0.107437227 0.631269088 133.5975 128.1241 5.4735

0.348798181 0.306651708 0.142165 0.340134 0.18437738 0.161155685 0.946903632 15.2631 7.0919 8.1711

0.348798181 0.306651708 0.142165 0.340134 0.18437738 0.161155685 0.946903632 15.2631 7.0919 8.1711

Deficit 0.0003

19 20 21 22 23 24 25

0.123633884 0.106844097 0.04579 0.117529 0.059527426 0.06105377 0.468587683 15.2634 11.2980 3.9654

0.356172966 0.311281633 0.140568 0.344285 0.182445909 0.168490996 1.099856771 148.8610 139.4221 9.4389

0.581357103 0.511106949 0.236952 0.56691 0.30730665 0.268602564 1.578232471 148.8610 135.2159 13.6451

0.232547018 0.204444618 0.094781 0.226765 0.122922798 0.107441088 0.631292988 133.5973 128.1236 5.4736

0.348810085 0.306662331 0.14217 0.340146 0.184383852 0.161161477 0.946939482 15.2637 7.0923 8.1714

0.348810085 0.306662331 0.14217 0.340146 0.184383852 0.161161477 0.946939482 15.2637 7.0923 8.1714

Deficit 0.0003

19 20 21 22 23 24 25

0.123638708 0.106848266 0.045792 0.117533 0.059529748 0.061056152 0.468605968 15.2640 11.2984 3.9656

0.356185726 0.311292884 0.140573 0.344298 0.182452547 0.16849724 1.099898956 148.8613 139.4221 9.4392

0.581375678 0.511123526 0.236959 0.566929 0.30731675 0.268611601 1.578288412 148.8613 135.2158 13.6455

0.232554448 0.204451249 0.094784 0.226772 0.122926838 0.107444703 0.631315365 133.5970 128.1232 5.4738

0.34882123 0.306672277 0.142175 0.340157 0.184389912 0.161166899 0.946973047 15.2643 7.0926 8.1717

0.34882123 0.306672277 0.142175 0.340157 0.184389912 0.161166899 0.946973047 15.2643 7.0926 8.1717

Deficit 0.0002

19 20 21 22 23 24 25

0.123643222 0.106852168 0.045794 0.117537 0.059531922 0.061058381 0.468623078 15.2646 11.2989 3.9657

0.356197671 0.311303416 0.140578 0.344309 0.18245876 0.168503084 1.099938442 148.8616 139.4221 9.4396

0.581393065 0.511139041 0.236967 0.566946 0.307326202 0.26862006 1.578340773 148.8616 135.2157 13.6459

0.232561403 0.204457455 0.094787 0.226779 0.122930619 0.107448086 0.631336309 133.5968 128.1228 5.4740

0.348831662 0.306681586 0.142179 0.340167 0.184395583 0.161171974 0.947004464 15.2648 7.0929 8.1719

0.348831662 0.306681586 0.142179 0.340167 0.184395583 0.161171974 0.947004464 15.2648 7.0929 8.1719

Deficit 0.0002

19 20 21 22 23 24 25

0.123647446 0.106855817 0.045795 0.117541 0.059533955 0.061060467 0.468639085 15.2651 11.2992 3.9659

0.356208849 0.311313272 0.140583 0.34432 0.182464574 0.168508553 1.099975394 148.8619 139.4221 9.4398

0.581409336 0.51115356 0.236973 0.566963 0.307335048 0.268627976 1.578389772 148.8619 135.2157 13.6462

0.232567912 0.204463262 0.09479 0.226786 0.122934157 0.107451253 0.631355909 133.5966 128.1225 5.4741

Page 109

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Mill

Mill Discharge, tons 0 0 0 0 1.596936983 1.651649454 1.881468104 1.27211499

Actual 0 0 0 0 1.596936983 1.651649454 1.881468104 1.27211499

Iteration 83 Cummulative Energy, KWH/ton 41.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135760972 0.967839323 1.315895105 1.412068413 1.238040522 1.187664027 2.157029911 1.422754336

Internal Feed, tons 15.41289209 19.18415419 32.97788334 47.37743075 12.14396582 5.010922426 3.999463062 2.363929013

To the Grate, tons 14.2764182 18.21370857 31.65849641 45.97088312 12.50364753 5.475177878 3.724038503 2.213297207

Internal Recycle, tons 14.2764182 18.21370857 31.65849641 45.97088312 10.90661025 3.823446964 1.842501056 0.941177883

Mill Discharge, tons 0 0 0 0 1.59703728 1.651730915 1.881537448 1.272119324

Actual 0 0 0 0 1.59703728 1.651730915 1.881537448 1.272119324

Iteration 84 Cummulative Energy, KWH/ton 42 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135794902 0.967868236 1.315934416 1.412110597 1.238077507 1.187699508 2.15709435 1.42279684

Internal Feed, tons 15.4122131 19.18157681 32.97443083 47.38299371 12.14468775 5.011146471 3.999595406 2.363974723

To the Grate, tons 14.27578928 18.21128778 31.65518293 45.9760408 12.50438087 5.475429957 3.724166971 2.213304496

Internal Recycle, tons 14.27578928 18.21128778 31.65518293 45.9760408 10.90724992 3.823622996 1.842564616 0.941180983

Mill Discharge, tons 0 0 0 0 1.597130946 1.651806961 1.881602355 1.272123513

Actual 0 0 0 0 1.597130946 1.651806961 1.881602355 1.272123513

Iteration 85 Cummulative Energy, KWH/ton 42.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135826624 0.967895268 1.315971169 1.412150037 1.238112086 1.187732679 2.157154597 1.422836577

Internal Feed, tons 15.4116159 19.17918304 32.9711541 47.38819084 12.14536201 5.011355676 3.999719213 2.36401756

To the Grate, tons 14.27523611 18.20904008 31.65203983 45.98085866 12.50506559 5.47566524 3.724287195 2.213311531

Internal Recycle, tons 14.27523611 18.20904008 31.65203983 45.98085866 10.90784718 3.8237873 1.842624098 0.941183974

Mill Discharge, tons 0 0 0 0 1.597218403 1.65187794 1.881663097 1.272127557

Actual 0 0 0 0 1.597218403 1.65187794 1.881663097 1.272127557

Iteration 86 Cummulative Energy, KWH/ton 43 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135856276 0.967920536 1.316005524 1.412186902 1.238144408 1.187763686 2.157210911 1.422873722

Internal Feed, tons 15.41109239 19.17696061 32.96804535 47.39304556 12.14599159 5.011550986 3.999835009 2.364057696

To the Grate, tons 14.2747512 18.20695384 31.6490594 45.9853585 12.50570479 5.475884807 3.72439968 2.21331831

Internal Recycle, tons 14.2747512 18.20695384 31.6490594 45.9853585 10.90840474 3.823940629 1.842679751 0.941186857

Mill Discharge, tons 0 0 0 0 1.597300045 1.651944178 1.881719929 1.272131453

Page 110

Page 111: SAGSim Open

Mill

0.691041056 0.95193082 1.253566603 0.95705987 0.234387894 0.561317586 0.491380616 0.473797698 0.414415767 0.403758478

0.691041056 0.95193082 1.253566603 0.95705987 0.234387894 0.561317586 0.491380616 0.473797698 0.414415767 0.403758478

28.27189861

9 10 11 12 13 14 15 16 17 18

0.462547815 0.697638124 0.801444234 0.496132145 0.064115539 0.251882474 0.175554451 0.174027891 0.163341968 0.158762286

0.951421466 1.34939546 1.643422982 1.135871231 0.220667657 0.626447833 0.503295874 0.489967261 0.439651454 0.427950741

1.179934173 1.603721926 2.09559497 1.596841162 0.390950142 0.93590649 0.81914186 0.789756645 0.690742711 0.672964522

0.488881716 0.65177106 0.841998685 0.639755995 0.156556175 0.374574782 0.327749353 0.315947202 0.27631647 0.269195491

0.691052457 0.951950866 1.253596286 0.957085167 0.234393967 0.561331707 0.491392507 0.473809443 0.414426241 0.403769031

0.691052457 0.951950866 1.253596286 0.957085167 0.234393967 0.561331707 0.491392507 0.473809443 0.414426241 0.403769031

28.60868886

9 10 11 12 13 14 15 16 17 18

0.462561633 0.697658965 0.801468177 0.496146967 0.064117454 0.251889998 0.175559696 0.17403309 0.163346847 0.158767029

0.95144335 1.349430026 1.643466862 1.135902962 0.220673629 0.626464781 0.503309049 0.489980292 0.439663317 0.42796252

1.179952391 1.603753504 2.095641349 1.596880616 0.39095961 0.935928511 0.819160403 0.789774959 0.690759042 0.672980974

0.488889265 0.651783894 0.84201732 0.639771802 0.156559966 0.374583596 0.327756772 0.315954529 0.276323003 0.269202072

0.691063127 0.95196961 1.25362403 0.957108814 0.234399644 0.561344915 0.49140363 0.47382043 0.414436039 0.403778902

0.691063127 0.95196961 1.25362403 0.957108814 0.234399644 0.561344915 0.49140363 0.47382043 0.414436039 0.403778902

28.94547965

9 10 11 12 13 14 15 16 17 18

0.462574553 0.697678451 0.801490561 0.496160824 0.064119245 0.251897034 0.175564599 0.17403795 0.16335141 0.158771464

0.951463817 1.349462345 1.643507881 1.135932626 0.220679211 0.626480629 0.503321372 0.489992479 0.439674412 0.427973536

1.179969438 1.603783026 2.09568469 1.59691749 0.390968458 0.935949103 0.819177745 0.789792087 0.690774315 0.67299636

0.488896328 0.651795892 0.842034734 0.639786575 0.15656351 0.374591838 0.327763711 0.315961381 0.276329113 0.269208227

0.69107311 0.951987134 1.253649957 0.957130915 0.234404949 0.561357266 0.491414034 0.473830706 0.414445203 0.403788133

0.69107311 0.951987134 1.253649957 0.957130915 0.234404949 0.561357266 0.491414034 0.473830706 0.414445203 0.403788133

29.28227095

9 10 11 12 13 14 15 16 17 18

0.462586629 0.697696664 0.801511485 0.496173776 0.064120919 0.25190361 0.175569182 0.174042494 0.163355674 0.158775608

0.951482956 1.349492556 1.643546219 1.135960352 0.220684428 0.626495447 0.503332894 0.490003875 0.439684787 0.427983835

1.179985386 1.603810622 2.095725185 1.596951946 0.390976725 0.935968357 0.819193962 0.789808103 0.690788597 0.673010745

0.488902935 0.651807107 0.842051004 0.63980038 0.15656682 0.374599543 0.3277702 0.315967788 0.276334826 0.269213981

0.69108245 0.952003514 1.253674181 0.957151566 0.234409905 0.561368813 0.491423762 0.473840315 0.414453771 0.403796764

Page 111

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Mill

0.348841424 0.306690297 0.142183 0.340177 0.184400891 0.161176724 0.947033863 15.2653 7.0932 8.1721

0.348841424 0.306690297 0.142183 0.340177 0.184400891 0.161176724 0.947033863 15.2653 7.0932 8.1721

Deficit 0.0002

19 20 21 22 23 24 25

0.123651396 0.106859231 0.045797 0.117545 0.059535857 0.061062418 0.468654057 15.2656 11.2996 3.9660

0.356219308 0.311322494 0.140587 0.344331 0.182470015 0.16851367 1.100009966 148.8622 139.4221 9.4401

0.581424558 0.511167143 0.23698 0.566978 0.307343324 0.268635382 1.578435613 148.8622 135.2156 13.6466

0.232574001 0.204468696 0.094792 0.226792 0.122937468 0.107454215 0.631374245 133.5964 128.1221 5.4743

0.348850557 0.306698447 0.142187 0.340186 0.184405857 0.161181167 0.947061368 15.2658 7.0935 8.1723

0.348850557 0.306698447 0.142187 0.340186 0.184405857 0.161181167 0.947061368 15.2658 7.0935 8.1723

Deficit 0.0002

19 20 21 22 23 24 25

0.12365509 0.106862424 0.045798 0.117549 0.059537636 0.061064242 0.468668058 15.2661 11.2999 3.9661

0.356229091 0.311331119 0.140591 0.34434 0.182475104 0.168518457 1.100042303 148.8624 139.4221 9.4404

0.581438796 0.511179847 0.236985 0.566992 0.307351065 0.268642309 1.578478491 148.8624 135.2155 13.6469

0.232579696 0.204473778 0.094795 0.226797 0.122940564 0.107456986 0.631391396 133.5962 128.1218 5.4744

0.3488591 0.30670607 0.142191 0.340195 0.184410501 0.161185323 0.947087094 15.2662 7.0937 8.1725

0.3488591 0.30670607 0.142191 0.340195 0.184410501 0.161185323 0.947087094 15.2662 7.0937 8.1725

Deficit 0.0002

19 20 21 22 23 24 25

0.123658544 0.106865408 0.045799 0.117552 0.059539299 0.061065948 0.468681147 15.2665 11.3003 3.9662

0.35623824 0.311339186 0.140594 0.344349 0.182479863 0.168522933 1.100072544 148.8627 139.4221 9.4406

0.581452112 0.511191728 0.236991 0.567006 0.307358305 0.268648787 1.578518588 148.8627 135.2155 13.6472

0.232585022 0.20447853 0.094797 0.226803 0.12294346 0.107459577 0.631407435 133.5960 128.1215 5.4745

0.348867089 0.306713198 0.142194 0.340203 0.184414845 0.16118921 0.947111153 15.2667 7.0940 8.1727

0.348867089 0.306713198 0.142194 0.340203 0.184414845 0.16118921 0.947111153 15.2667 7.0940 8.1727

Deficit 0.0002

19 20 21 22 23 24 25

0.123661772 0.106868198 0.045801 0.117555 0.059540853 0.061067542 0.468693383 15.2669 11.3005 3.9663

0.356246794 0.311346728 0.140598 0.344358 0.182484313 0.168527119 1.100100818 148.8629 139.4221 9.4408

0.581464561 0.511202836 0.236996 0.567018 0.307365073 0.268654844 1.578556077 148.8629 135.2154 13.6475

0.232590002 0.204482973 0.094799 0.226808 0.122946167 0.107462 0.631422431 133.5959 128.1212 5.4746

0.348874559 0.306719863 0.142197 0.34021 0.184418906 0.161192844 0.947133646 15.2670 7.0942 8.1729

Page 112

Page 113: SAGSim Open

Mill

Actual 0 0 0 0 1.597300045 1.651944178 1.881719929 1.272131453

Iteration 87 Cummulative Energy, KWH/ton 43.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135883987 0.96794415 1.31603763 1.412221355 1.238174615 1.187792664 2.15726354 1.422908436

Internal Feed, tons 15.41063519 19.17489799 32.96509703 47.39757986 12.14657936 5.011733293 3.999943291 2.364095292

To the Grate, tons 14.27432771 18.20501816 31.6462342 45.9895608 12.50630139 5.476089672 3.724504903 2.213324833

Internal Recycle, tons 14.27432771 18.20501816 31.6462342 45.9895608 10.90892514 3.824083691 1.842731811 0.941189631

Mill Discharge, tons 0 0 0 0 1.597376246 1.652005981 1.881773092 1.272135202

Actual 0 0 0 0 1.597376246 1.652005981 1.881773092 1.272135202

Iteration 88 Cummulative Energy, KWH/ton 44 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.13590988 0.967966215 1.31606763 1.412253547 1.23820284 1.18781974 2.157312716 1.422940871

Internal Feed, tons 15.41023759 19.17298437 32.96230183 47.40181434 12.14712798 5.011903431 4.000044527 2.364130502

To the Grate, tons 14.27395943 18.20322281 31.64355705 45.99348471 12.50685812 5.476280788 3.724603314 2.213331101

Internal Recycle, tons 14.27395943 18.20322281 31.64355705 45.99348471 10.90941076 3.824217152 1.8427805 0.941192296

Mill Discharge, tons 0 0 0 0 1.597447355 1.652063636 1.881822813 1.272138805

Actual 0 0 0 0 1.597447355 1.652063636 1.881822813 1.272138805

Iteration 89 Cummulative Energy, KWH/ton 44.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135934069 0.967986828 1.316095655 1.412283621 1.238229207 1.187845035 2.157358655 1.422971173

Internal Feed, tons 15.4098935 19.17120964 32.9596527 47.40576833 12.14763997 5.012062186 4.000139156 2.364163469

To the Grate, tons 14.27364071 18.20155822 31.64102101 45.99714821 12.50737755 5.476459047 3.724695334 2.213337118

Internal Recycle, tons 14.27364071 18.20155822 31.64102101 45.99714821 10.90986385 3.824341634 1.842826029 0.941194855

Mill Discharge, tons 0 0 0 0 1.5975137 1.652117413 1.881869306 1.272142263

Actual 0 0 0 0 1.5975137 1.652117413 1.881869306 1.272142263

Iteration 90 Cummulative Energy, KWH/ton 45 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135956663 0.968006081 1.316121832 1.412311711 1.238253835 1.187868661 2.157401565 1.422999475

Internal Feed, tons 15.40959738 19.1695643 32.95714284 47.40945992 12.14811768 5.012210295 4.000227593 2.36419433

To the Grate, tons 14.27336642 18.20001544 31.6386194 46.00056816 12.5078621 5.476625288 3.724781364 2.213342888

Internal Recycle, tons 14.27336642 18.20001544 31.6386194 46.00056816 10.91028651 3.824457724 1.842868593 0.941197308

Mill Discharge, tons 0 0 0 0 1.597575589 1.652167564 1.881912772 1.272145579

Actual 0 0 0 0 1.597575589 1.652167564 1.881912772 1.272145579

Page 113

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Mill

0.69108245 0.952003514 1.253674181 0.957151566 0.234409905 0.561368813 0.491423762 0.473840315 0.414453771 0.403796764

29.61906273

9 10 11 12 13 14 15 16 17 18

0.462597914 0.697713686 0.801531039 0.496185882 0.064122483 0.251909755 0.175573466 0.17404674 0.163359659 0.158779482

0.951500849 1.349520793 1.643582044 1.135986261 0.220689303 0.626509299 0.503343666 0.490014528 0.439694485 0.427993463

1.180000302 1.60383641 2.095763013 1.596984136 0.390984447 0.935986354 0.819209123 0.789823077 0.690801949 0.673024193

0.488909115 0.651817588 0.842066203 0.639813276 0.156569912 0.374606746 0.327776266 0.315973778 0.276340167 0.26921936

0.691091186 0.952018822 1.253696809 0.95717086 0.234414535 0.561379608 0.491432857 0.473849298 0.414461782 0.403804833

0.691091186 0.952018822 1.253696809 0.95717086 0.234414535 0.561379608 0.491432857 0.473849298 0.414461782 0.403804833

29.95585494

9 10 11 12 13 14 15 16 17 18

0.462608459 0.69772959 0.80154931 0.496197192 0.064123945 0.251915498 0.175577468 0.174050707 0.163363383 0.158783102

0.951517574 1.349547178 1.643615514 1.136010469 0.220693857 0.626522244 0.503353734 0.490024486 0.43970355 0.428002462

1.180014251 1.603860506 2.095798343 1.597014204 0.39099166 0.936003174 0.819223294 0.789837072 0.690814429 0.673036761

0.488914895 0.651827381 0.842080399 0.639825323 0.156572801 0.374613478 0.327781936 0.315979378 0.276345159 0.269224388

0.691099356 0.952033125 1.253717944 0.957188881 0.234418859 0.561389696 0.491441358 0.473857695 0.41446927 0.403812374

0.691099356 0.952033125 1.253717944 0.957188881 0.234418859 0.561389696 0.491441358 0.473857695 0.41446927 0.403812374

30.29264758

9 10 11 12 13 14 15 16 17 18

0.46261831 0.697744448 0.801566379 0.496207759 0.06412531 0.251920862 0.175581207 0.174054414 0.163366862 0.158786483

0.951533205 1.349571829 1.643646778 1.136033081 0.220698111 0.62653434 0.503363143 0.490033791 0.439712021 0.428010871

1.180027292 1.603883016 2.095831334 1.597042284 0.390998395 0.93601889 0.819236538 0.789850151 0.690826091 0.673048506

0.488920298 0.651836529 0.842093655 0.639836572 0.156575498 0.374619768 0.327787235 0.31598461 0.276349824 0.269229086

0.691106994 0.952046487 1.25373768 0.957205711 0.234422897 0.561399122 0.491449303 0.473865542 0.414476267 0.40381942

0.691106994 0.952046487 1.25373768 0.957205711 0.234422897 0.561399122 0.491449303 0.473865542 0.414476267 0.40381942

30.6294406

9 10 11 12 13 14 15 16 17 18

0.462627512 0.697758326 0.801582322 0.496217628 0.064126586 0.251925873 0.175584699 0.174057876 0.163370111 0.158789641

0.95154781 1.349594856 1.643675977 1.136054201 0.220702083 0.626545641 0.503371934 0.490042486 0.439719936 0.428018727

1.180039484 1.603904041 2.095862137 1.597068503 0.391004683 0.936033573 0.819248912 0.789862372 0.690836988 0.673059478

0.48892535 0.651845074 0.842106031 0.639847077 0.156578016 0.374625645 0.327792186 0.315989499 0.276354183 0.269233475

0.691114134 0.952058967 1.253756106 0.957221426 0.234426667 0.561407928 0.491456726 0.473872873 0.414482805 0.403826003

0.691114134 0.952058967 1.253756106 0.957221426 0.234426667 0.561407928 0.491456726 0.473872873 0.414482805 0.403826003

Page 114

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Mill

0.348874559 0.306719863 0.142197 0.34021 0.184418906 0.161192844 0.947133646 15.2670 7.0942 8.1729

Deficit 0.0002

19 20 21 22 23 24 25

0.123664789 0.106870805 0.045802 0.117558 0.059542306 0.061069032 0.468704817 15.2673 11.3008 3.9664

0.356254791 0.311353778 0.140601 0.344366 0.182488473 0.168531031 1.100127248 148.8631 139.4221 9.4411

0.581476199 0.511213219 0.237001 0.56703 0.3073714 0.268660505 1.57859112 148.8631 135.2154 13.6478

0.232594657 0.204487126 0.094801 0.226812 0.122948698 0.107464264 0.631436448 133.5957 128.1210 5.4747

0.348881541 0.306726093 0.1422 0.340217 0.184422702 0.161196241 0.947154672 15.2674 7.0944 8.1730

0.348881541 0.306726093 0.1422 0.340217 0.184422702 0.161196241 0.947154672 15.2674 7.0944 8.1730

Deficit 0.0002

19 20 21 22 23 24 25

0.123667608 0.106873241 0.045803 0.117561 0.059543663 0.061070424 0.468715502 15.2676 11.3011 3.9665

0.356262265 0.311360368 0.140604 0.344373 0.182492361 0.168534688 1.10015195 148.8633 139.4221 9.4413

0.581487075 0.511222923 0.237005 0.567041 0.307377313 0.268665797 1.578623871 148.8633 135.2153 13.6480

0.232599008 0.204491008 0.094803 0.226817 0.122951063 0.107466381 0.631449549 133.5956 128.1207 5.4748

0.348888067 0.306731915 0.142203 0.340224 0.18442625 0.161199416 0.947174323 15.2677 7.0946 8.1732

0.348888067 0.306731915 0.142203 0.340224 0.18442625 0.161199416 0.947174323 15.2677 7.0946 8.1732

Deficit 0.0001

19 20 21 22 23 24 25

0.123670241 0.106875517 0.045804 0.117563 0.059544931 0.061071724 0.468725483 15.2679 11.3013 3.9666

0.356269249 0.311366525 0.140607 0.34438 0.182495994 0.168538105 1.100175031 148.8635 139.4221 9.4414

0.581497238 0.51123199 0.23701 0.567051 0.307382839 0.268670741 1.578654474 148.8635 135.2153 13.6482

0.232603073 0.204494635 0.094804 0.226821 0.122953274 0.107468358 0.63146179 133.5954 128.1205 5.4749

0.348894165 0.306737355 0.142205 0.34023 0.184429565 0.161202383 0.947192684 15.2681 7.0947 8.1733

0.348894165 0.306737355 0.142205 0.34023 0.184429565 0.161202383 0.947192684 15.2681 7.0947 8.1733

Deficit 0.0001

19 20 21 22 23 24 25

0.123672701 0.106877643 0.045805 0.117565 0.059546115 0.061072939 0.468734806 15.2682 11.3015 3.9667

0.356275774 0.311372278 0.140609 0.344386 0.182499389 0.168541297 1.100196595 148.8637 139.4221 9.4416

0.581506733 0.511240461 0.237014 0.56706 0.307388001 0.26867536 1.578683064 148.8637 135.2152 13.6484

0.232606871 0.204498023 0.094806 0.226825 0.122955338 0.107470206 0.631473226 133.5953 128.1203 5.4750

0.348899862 0.306742438 0.142208 0.340236 0.184432662 0.161205154 0.947209838 15.2684 7.0949 8.1734

0.348899862 0.306742438 0.142208 0.340236 0.184432662 0.161205154 0.947209838 15.2684 7.0949 8.1734

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Iteration 91 Cummulative Energy, KWH/ton 45.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135977762 0.96802406 1.316146278 1.412337943 1.238276834 1.187890724 2.157441636 1.423025906

Internal Feed, tons 15.40934419 19.1680395 32.95476568 47.4129061 12.14856334 5.012348448 4.000310229 2.364223214

To the Grate, tons 14.2731319 18.19858608 31.63634581 46.00376033 12.50831403 5.476780295 3.724861779 2.213348413

Internal Recycle, tons 14.2731319 18.19858608 31.63634581 46.00376033 10.91068072 3.824565969 1.842908378 0.941199658

Mill Discharge, tons 0 0 0 0 1.597633312 1.652214326 1.8819534 1.272148755

Actual 0 0 0 0 1.597633312 1.652214326 1.8819534 1.272148755

Iteration 92 Cummulative Energy, KWH/ton 46 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.135997462 0.968040848 1.316169103 1.412362436 1.238298309 1.187911325 2.157479052 1.423050585

Internal Feed, tons 15.40912936 19.16662692 32.95251491 47.41612276 12.14897903 5.012477294 4.00038743 2.364250243

To the Grate, tons 14.27293292 18.19726228 31.63419406 46.00673951 12.50873547 5.476924805 3.724936931 2.213353701

Internal Recycle, tons 14.27293292 18.19726228 31.63419406 46.00673951 10.91104833 3.824666884 1.84294556 0.941201907

Mill Discharge, tons 0 0 0 0 1.597687141 1.652257921 1.88199137 1.272151795

Actual 0 0 0 0 1.597687141 1.652257921 1.88199137 1.272151795

Iteration 93 Cummulative Energy, KWH/ton 46.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.136015854 0.968056521 1.316190411 1.412385302 1.238318357 1.187930557 2.15751398 1.423073623

Internal Feed, tons 15.40894877 19.16531881 32.95038447 47.41912481 12.14936668 5.012597441 4.000459541 2.36427553

To the Grate, tons 14.27276565 18.19603673 31.63215822 46.00951956 12.5091284 5.477059508 3.725007151 2.213358757

Internal Recycle, tons 14.27276565 18.19603673 31.63215822 46.00951956 10.91139107 3.82476095 1.842980303 0.941204056

Mill Discharge, tons 0 0 0 0 1.597737328 1.652298558 1.882026849 1.2721547

Actual 0 0 0 0 1.597737328 1.652298558 1.882026849 1.2721547

Iteration 94 Cummulative Energy, KWH/ton 47 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.13603302 0.968071149 1.3162103 1.412406645 1.238337069 1.187948508 2.157546583 1.423095127

Internal Feed, tons 15.40879867 19.16410788 32.94836852 47.4219262 12.14972814 5.012709458 4.000526886 2.364299184

To the Grate, tons 14.27262661 18.19490256 31.63023261 46.01211345 12.5094947 5.477185049 3.725072754 2.213363586

Internal Recycle, tons 14.27262661 18.19490256 31.63023261 46.01211345 10.91171059 3.824848619 1.84301276 0.94120611

Mill Discharge, tons 0 0 0 0 1.597784115 1.65233643 1.882059994 1.272157476

Actual 0 0 0 0 1.597784115 1.65233643 1.882059994 1.272157476

Page 116

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30.96623398

9 10 11 12 13 14 15 16 17 18

0.462636105 0.697771286 0.801597211 0.496226845 0.064127777 0.251930552 0.17558796 0.174061109 0.163373146 0.15879259

0.951561454 1.34961636 1.643703242 1.136073922 0.220705793 0.626556197 0.503380147 0.490050607 0.439727329 0.428026065

1.180050878 1.603923676 2.09589089 1.59709298 0.391010552 0.936047288 0.819260473 0.789873788 0.690847168 0.673069727

0.488930071 0.651853054 0.842117584 0.639856883 0.156580366 0.374631134 0.327796812 0.315994066 0.276358256 0.269237575

0.691120807 0.952070622 1.253773306 0.957236097 0.234430186 0.561416154 0.491463661 0.473879722 0.414488912 0.403832153

0.691120807 0.952070622 1.253773306 0.957236097 0.234430186 0.561416154 0.491463661 0.473879722 0.414488912 0.403832153

31.30302771

9 10 11 12 13 14 15 16 17 18

0.462644128 0.697783387 0.801611113 0.496235451 0.064128889 0.251934921 0.175591006 0.174064127 0.163375979 0.158795344

0.951574198 1.349636441 1.643728696 1.136092334 0.220709255 0.626566055 0.503387817 0.490058193 0.439734235 0.428032919

1.180061526 1.603942008 2.095917726 1.597115827 0.391016031 0.936060097 0.819271271 0.789884451 0.690856675 0.673079299

0.488934482 0.651860504 0.842128366 0.639866037 0.15658256 0.37463626 0.327801132 0.315998332 0.276362059 0.269241404

0.691127044 0.952081504 1.25378936 0.95724979 0.234433471 0.561423836 0.491470139 0.473886119 0.414494617 0.403837896

0.691127044 0.952081504 1.25378936 0.95724979 0.234433471 0.561423836 0.491470139 0.473886119 0.414494617 0.403837896

31.63982174

9 10 11 12 13 14 15 16 17 18

0.462651618 0.697794684 0.80162409 0.496243485 0.064129927 0.251939 0.175593848 0.174066945 0.163378624 0.158797915

0.9515861 1.349655189 1.643752457 1.136109521 0.220712487 0.62657526 0.503394981 0.490065277 0.439740683 0.428039319

1.180071474 1.603959123 2.095942769 1.59713715 0.391021143 0.936072056 0.819281355 0.789894409 0.690865554 0.673088238

0.488938604 0.65186746 0.842138428 0.63987458 0.156584607 0.374641047 0.327805167 0.316002315 0.276365611 0.269244979

0.69113287 0.952091663 1.253804341 0.95726257 0.234436536 0.56143101 0.491476188 0.473892094 0.414499944 0.403843259

0.69113287 0.952091663 1.253804341 0.95726257 0.234436536 0.56143101 0.491476188 0.473892094 0.414499944 0.403843259

31.97661608

9 10 11 12 13 14 15 16 17 18

0.462658609 0.697805229 0.801636204 0.496250983 0.064130896 0.251942807 0.175596502 0.174069576 0.163381093 0.158800315

0.951597213 1.349672689 1.643774632 1.136125563 0.220715503 0.626583854 0.503401669 0.490071891 0.439746704 0.428045294

1.180080767 1.603975097 2.095966134 1.597157046 0.391025912 0.936083222 0.81929077 0.789903707 0.690873844 0.673096583

0.488942455 0.651873952 0.842147816 0.639882551 0.156586517 0.374645516 0.327808934 0.316006035 0.276368927 0.269248317

0.691138313 0.952101145 1.253818318 0.957274495 0.234439395 0.561437707 0.491481836 0.473897672 0.414504917 0.403848266

0.691138313 0.952101145 1.253818318 0.957274495 0.234439395 0.561437707 0.491481836 0.473897672 0.414504917 0.403848266

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Deficit 0.0001

19 20 21 22 23 24 25

0.123674998 0.106879628 0.045806 0.117568 0.059547221 0.061074073 0.468743512 15.2685 11.3018 3.9668

0.35628187 0.311377651 0.140612 0.344392 0.18250256 0.168544279 1.100216738 148.8638 139.4221 9.4418

0.581515603 0.511248373 0.237017 0.567069 0.307392823 0.268679675 1.578709769 148.8638 135.2152 13.6486

0.232610419 0.204501188 0.094808 0.226828 0.122957267 0.107471932 0.631483908 133.5952 128.1201 5.4751

0.348905184 0.306747185 0.14221 0.340241 0.184435556 0.161207743 0.947225861 15.2686 7.0951 8.1736

0.348905184 0.306747185 0.14221 0.340241 0.184435556 0.161207743 0.947225861 15.2686 7.0951 8.1736

Deficit 0.0001

19 20 21 22 23 24 25

0.123677143 0.106881482 0.045806 0.11757 0.059548254 0.061075132 0.468751641 15.2688 11.3020 3.9668

0.356287562 0.31138267 0.140614 0.344398 0.182505521 0.168547064 1.100235549 148.8640 139.4221 9.4419

0.581523886 0.511255762 0.237021 0.567077 0.307397326 0.268683705 1.578734709 148.8640 135.2151 13.6488

0.232613732 0.204504144 0.094809 0.226831 0.122959068 0.107473544 0.631493884 133.5951 128.1199 5.4752

0.348910153 0.306751619 0.142212 0.340246 0.184438258 0.161210161 0.947240825 15.2689 7.0952 8.1737

0.348910153 0.306751619 0.142212 0.340246 0.184438258 0.161210161 0.947240825 15.2689 7.0952 8.1737

Deficit 0.0001

19 20 21 22 23 24 25

0.123679145 0.106883212 0.045807 0.117572 0.059549218 0.061076121 0.46875923 15.2690 11.3021 3.9669

0.356292878 0.311387356 0.140616 0.344403 0.182508287 0.168549665 1.100253114 148.8641 139.4221 9.4421

0.58153162 0.511262662 0.237024 0.567085 0.307401531 0.268687467 1.578757996 148.8641 135.2151 13.6490

0.232616826 0.204506904 0.09481 0.226835 0.12296075 0.107475049 0.631503198 133.5950 128.1198 5.4752

0.348914794 0.306755758 0.142214 0.340251 0.18444078 0.161212418 0.947254798 15.2691 7.0954 8.1738

0.348914794 0.306755758 0.142214 0.340251 0.18444078 0.161212418 0.947254798 15.2691 7.0954 8.1738

Deficit 0.0001

19 20 21 22 23 24 25

0.123681014 0.106884827 0.045808 0.117573 0.059550118 0.061077044 0.468766313 15.2693 11.3023 3.9670

0.356297841 0.311391731 0.140618 0.344408 0.182510868 0.168552093 1.100269512 148.8642 139.4221 9.4422

0.581538841 0.511269104 0.237027 0.567092 0.307405457 0.26869098 1.578779737 148.8642 135.2151 13.6492

0.232619715 0.20450948 0.094811 0.226837 0.122962321 0.107476454 0.631511895 133.5949 128.1196 5.4753

0.348919127 0.306759623 0.142216 0.340255 0.184443136 0.161214526 0.947267842 15.2694 7.0955 8.1739

0.348919127 0.306759623 0.142216 0.340255 0.184443136 0.161214526 0.947267842 15.2694 7.0955 8.1739

Deficit 0.0001

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Iteration 95 Cummulative Energy, KWH/ton 47.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.136049041 0.968084801 1.316228862 1.412426563 1.238354532 1.18796526 2.157577009 1.423115196

Internal Feed, tons 15.40867565 19.16298736 32.94646147 47.42454001 12.15006512 5.012813879 4.000589769 2.364321306

To the Grate, tons 14.27251266 18.19385336 31.62841177 46.01453334 12.50983612 5.477302034 3.725134031 2.213368196

Internal Recycle, tons 14.27251266 18.19385336 31.62841177 46.01453334 10.9120084 3.824930312 1.843043077 0.94120807

Mill Discharge, tons 0 0 0 0 1.597827722 1.652371722 1.882090953 1.272160125

Actual 0 0 0 0 1.597827722 1.652371722 1.882090953 1.272160125

Iteration 96 Cummulative Energy, KWH/ton 48 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.136063989 0.968097539 1.316246181 1.412445148 1.238370827 1.187980892 2.157605399 1.423133922

Internal Feed, tons 15.40857665 19.1619509 32.94465795 47.42697849 12.15037923 5.012911204 4.000648476 2.364341992

To the Grate, tons 14.27242096 18.19288314 31.62669046 46.01679062 12.5101543 5.477411029 3.725191258 2.213372593

Internal Recycle, tons 14.27242096 18.19288314 31.62669046 46.01679062 10.91228593 3.825006426 1.843071391 0.94120994

Mill Discharge, tons 0 0 0 0 1.597868362 1.652404603 1.882119867 1.272162653

Actual 0 0 0 0 1.597868362 1.652404603 1.882119867 1.272162653

Iteration 97 Cummulative Energy, KWH/ton 48.5 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.136077935 0.968109423 1.316262339 1.412462487 1.238386029 1.187995475 2.157631885 1.423151392

Internal Feed, tons 15.40849889 19.16099257 32.9429528 47.42925311 12.15067196 5.013001901 4.000703276 2.364361332

To the Grate, tons 14.27234894 18.19198633 31.6250637 46.01889593 12.51045076 5.477512565 3.725244693 2.213376784

Internal Recycle, tons 14.27234894 18.19198633 31.6250637 46.01889593 10.91254453 3.825077331 1.843097829 0.941211722

Mill Discharge, tons 0 0 0 0 1.597906228 1.652435234 1.882146865 1.272165061

Actual 0 0 0 0 1.597906228 1.652435234 1.882146865 1.272165061

Iteration 98 Cummulative Energy, KWH/ton 49 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.136090944 0.968120509 1.316277411 1.41247866 1.238400209 1.188009079 2.157656591 1.423167688

Internal Feed, tons 15.40843988 19.16010684 32.94134111 47.43137459 12.15094474 5.01308641 4.00075442 2.36437941

To the Grate, tons 14.27229428 18.1911577 31.62352669 46.02085926 12.51072696 5.477607138 3.725294581 2.213380776

Internal Recycle, tons 14.27229428 18.1911577 31.62352669 46.02085926 10.91278545 3.825143373 1.843122511 0.94121342

Mill Discharge, tons 0 0 0 0 1.597941506 1.652463765 1.88217207 1.272167356

Actual 0 0 0 0 1.597941506 1.652463765 1.88217207 1.272167356

Iteration 99 Cummulative Energy, KWH/ton 49.5 Cummulative Time, min

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32.31341068

9 10 11 12 13 14 15 16 17 18

0.462665133 0.697815069 0.801647509 0.496257981 0.064131801 0.25194636 0.175598978 0.17407203 0.163383397 0.158802554

0.951607588 1.349689021 1.643795325 1.136140532 0.220718318 0.626591875 0.503407912 0.490078065 0.439752324 0.428050871

1.180089447 1.603990005 2.095987931 1.597175608 0.391030362 0.936093644 0.81929956 0.789912386 0.690881584 0.673104372

0.488946051 0.651880011 0.842156574 0.639889987 0.156588299 0.374649687 0.327812451 0.316009507 0.276372023 0.269251433

0.691143396 0.952109994 1.253831357 0.957285621 0.234442063 0.561443958 0.491487109 0.473902879 0.414509561 0.403852939

0.691143396 0.952109994 1.253831357 0.957285621 0.234442063 0.561443958 0.491487109 0.473902879 0.414509561 0.403852939

32.65020555

9 10 11 12 13 14 15 16 17 18

0.462671221 0.697824251 0.801658057 0.496264511 0.064132645 0.251949675 0.175601289 0.174074321 0.163385547 0.158804644

0.951617272 1.349704262 1.643814631 1.136154499 0.220720943 0.626599362 0.50341374 0.490083828 0.43975757 0.428056077

1.180097553 1.604003916 2.096008261 1.597192922 0.391034512 0.936103372 0.819307765 0.789920488 0.690888807 0.673111643

0.488949409 0.651885664 0.842164743 0.639896924 0.156589961 0.37465358 0.327815734 0.316012749 0.276374913 0.269254341

0.691148144 0.952118252 1.253843519 0.957295998 0.234444551 0.561449792 0.491492031 0.47390774 0.414513895 0.403857301

0.691148144 0.952118252 1.253843519 0.957295998 0.234444551 0.561449792 0.491492031 0.47390774 0.414513895 0.403857301

32.98700065

9 10 11 12 13 14 15 16 17 18

0.462676901 0.697832818 0.801667898 0.496270603 0.064133432 0.251952768 0.175603444 0.174076458 0.163387553 0.158806593

0.95162631 1.349718482 1.643832641 1.136167528 0.220723393 0.626606348 0.503419178 0.490089206 0.439762465 0.428060934

1.180105121 1.604016894 2.096027221 1.597209071 0.391038382 0.936112448 0.819315423 0.789928049 0.690895549 0.673118427

0.488952545 0.651890939 0.842172361 0.639903394 0.156591511 0.374657213 0.327818798 0.316015773 0.276377609 0.269257055

0.691152576 0.952125955 1.25385486 0.957305677 0.234446872 0.561455236 0.491496625 0.473912276 0.414517939 0.403861372

0.691152576 0.952125955 1.25385486 0.957305677 0.234446872 0.561455236 0.491496625 0.473912276 0.414517939 0.403861372

33.32379598

9 10 11 12 13 14 15 16 17 18

0.462682199 0.697840808 0.801677077 0.496276286 0.064134166 0.251955653 0.175605455 0.174078451 0.163389423 0.158808412

0.951634744 1.349731747 1.643849438 1.13617968 0.220725677 0.626612866 0.503424253 0.490094224 0.439767033 0.428065467

1.180112187 1.604029 2.0960449 1.59722413 0.391041991 0.936120917 0.819322568 0.789935104 0.690901839 0.673124757

0.488955473 0.651895859 0.842179464 0.639909427 0.156592956 0.374660602 0.327821657 0.316018596 0.276380126 0.269259587

0.691156714 0.952133141 1.253865436 0.957314703 0.234449035 0.561460315 0.491500911 0.473916508 0.414521713 0.40386517

0.691156714 0.952133141 1.253865436 0.957314703 0.234449035 0.561460315 0.491500911 0.473916508 0.414521713 0.40386517

33.66059151

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19 20 21 22 23 24 25

0.123682758 0.106886334 0.045808 0.117575 0.059550958 0.061077905 0.468772924 15.2695 11.3025 3.9670

0.356302473 0.311395815 0.14062 0.344412 0.182513278 0.168554359 1.100284819 148.8644 139.4221 9.4423

0.581545582 0.511275116 0.23703 0.567099 0.307409121 0.268694259 1.57880003 148.8644 135.2150 13.6493

0.232622411 0.204511885 0.094812 0.22684 0.122963786 0.107477766 0.631520012 133.5948 128.1194 5.4754

0.348923171 0.306763231 0.142217 0.340259 0.184445335 0.161216493 0.947280018 15.2696 7.0956 8.1740

0.348923171 0.306763231 0.142217 0.340259 0.184445335 0.161216493 0.947280018 15.2696 7.0956 8.1740

Deficit 0.0001

19 20 21 22 23 24 25

0.123684386 0.106887741 0.045809 0.117577 0.059551741 0.061078709 0.468779092 15.2697 11.3026 3.9671

0.356306797 0.311399626 0.140622 0.344417 0.182515528 0.168556475 1.100299104 148.8645 139.4221 9.4424

0.581551873 0.511280728 0.237032 0.567105 0.307412541 0.268697319 1.578818969 148.8645 135.2150 13.6495

0.232624927 0.20451413 0.094814 0.226843 0.122965154 0.10747899 0.631527588 133.5947 128.1193 5.4754

0.348926945 0.306766598 0.142219 0.340263 0.184447387 0.161218329 0.947291381 15.2698 7.0957 8.1741

0.348926945 0.306766598 0.142219 0.340263 0.184447387 0.161218329 0.947291381 15.2698 7.0957 8.1741

Deficit 0.0001

19 20 21 22 23 24 25

0.123685904 0.106889053 0.04581 0.117578 0.059552472 0.061079459 0.468784847 15.2699 11.3028 3.9671

0.356310832 0.311403183 0.140623 0.344421 0.182517627 0.168558449 1.100312435 148.8646 139.4221 9.4425

0.581557743 0.511285964 0.237035 0.567111 0.307415732 0.268700175 1.578836642 148.8646 135.2150 13.6496

0.232627276 0.204516225 0.094814 0.226845 0.122966431 0.107480132 0.631534657 133.5946 128.1192 5.4755

0.348930467 0.306769739 0.14222 0.340266 0.184449301 0.161220043 0.947301985 15.2699 7.0958 8.1741

0.348930467 0.306769739 0.14222 0.340266 0.184449301 0.161220043 0.947301985 15.2699 7.0958 8.1741

Deficit 0.0001

19 20 21 22 23 24 25

0.123687321 0.106890277 0.04581 0.117579 0.059553154 0.061080158 0.468790215 15.2700 11.3029 3.9672

0.356314596 0.311406501 0.140625 0.344424 0.182519585 0.16856029 1.100324871 148.8647 139.4221 9.4426

0.58156322 0.511290849 0.237037 0.567117 0.30741871 0.268702839 1.57885313 148.8647 135.2150 13.6497

0.232629466 0.204518179 0.094815 0.226847 0.122967622 0.107481198 0.631541252 133.5946 128.1191 5.4755

0.348933754 0.30677267 0.142222 0.34027 0.184451088 0.161221641 0.947311878 15.2701 7.0959 8.1742

0.348933754 0.30677267 0.142222 0.34027 0.184451088 0.161221641 0.947311878 15.2701 7.0959 8.1742

Deficit 0.0001

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Mill

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.136103077 0.968130848 1.316291468 1.412493745 1.238413434 1.188021766 2.157679634 1.423182886

Internal Feed, tons 15.40839736 19.15928855 32.93981815 47.43335301 12.15119889 5.013165139 4.000802145 2.364396306

To the Grate, tons 14.27225489 18.19039238 31.62207484 46.02268995 12.51098423 5.477695212 3.725341148 2.213384577

Internal Recycle, tons 14.27225489 18.19039238 31.62207484 46.02268995 10.91300987 3.825204878 1.843145551 0.941215036

Mill Discharge, tons 0 0 0 0 1.597974366 1.652490334 1.882195598 1.272169541

Actual 0 0 0 0 1.597974366 1.652490334 1.882195598 1.272169541

Iteration 100 Cummulative Energy, KWH/ton 50 Cummulative Time, min

1 2 3 4 5 6 7 8

Make-up Feed, tons 1.136114391 0.968140489 1.316304576 1.412507811 1.238425767 1.188033597 2.157701121 1.423197059

Internal Feed, tons 15.40836928 19.15853287 32.93837942 47.43519776 12.15143564 5.013238474 4.000846671 2.364412095

To the Grate, tons 14.27222888 18.18968584 31.6207038 46.02439673 12.51122384 5.477777222 3.72538461 2.213388193

Internal Recycle, tons 14.27222888 18.18968584 31.6207038 46.02439673 10.91321887 3.825262147 1.843167054 0.941216574

Mill Discharge, tons 0 0 0 0 1.59800497 1.652515075 1.882217556 1.272171619

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Mill

9 10 11 12 13 14 15 16 17 18

0.46268714 0.697848261 0.801685639 0.496281586 0.064134851 0.251958344 0.17560733 0.17408031 0.163391168 0.158810107

0.951642613 1.34974412 1.643865103 1.136191013 0.220727807 0.626618946 0.503428987 0.490098906 0.439771294 0.428069695

1.180118782 1.604040291 2.096061382 1.59723817 0.391045355 0.936128817 0.819329234 0.789941686 0.690907708 0.673130662

0.488958205 0.651900447 0.842186086 0.639915052 0.156594303 0.374663764 0.327824324 0.316021229 0.276382473 0.269261949

0.691160577 0.952139843 1.253875295 0.957323118 0.234451052 0.561465053 0.49150491 0.473920457 0.414525234 0.403868712

0.691160577 0.952139843 1.253875295 0.957323118 0.234451052 0.561465053 0.49150491 0.473920457 0.414525234 0.403868712

33.99738724

9 10 11 12 13 14 15 16 17 18

0.462691748 0.69785521 0.801693622 0.496286528 0.06413549 0.251960853 0.175609079 0.174082044 0.163392795 0.158811689

0.951649953 1.349755658 1.643879709 1.13620158 0.220729793 0.626624617 0.503433403 0.490103273 0.439775269 0.428073638

1.180124936 1.60405082 2.096076745 1.597251259 0.391048491 0.936136185 0.819335453 0.789947826 0.690913182 0.673136169

0.488960755 0.651904727 0.842192259 0.639920296 0.156595559 0.374666713 0.327826812 0.316023685 0.276384663 0.269264152

0.691164181 0.952146093 1.253884486 0.957330963 0.234452932 0.561469472 0.491508641 0.473924141 0.414528519 0.403872017

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Mill

19 20 21 22 23 24 25

0.123688641 0.106891419 0.045811 0.117581 0.05955379 0.061080811 0.468795221 15.2702 11.3030 3.9672

0.356318108 0.311409597 0.140626 0.344428 0.182521412 0.168562008 1.100336473 148.8648 139.4221 9.4427

0.581568329 0.511295406 0.237039 0.567122 0.307421487 0.268705324 1.57886851 148.8648 135.2149 13.6498

0.23263151 0.204520001 0.094816 0.226849 0.122968733 0.107482192 0.631547404 133.5945 128.1189 5.4756

0.348936819 0.306775405 0.142223 0.340273 0.184452754 0.161223132 0.947321106 15.2703 7.0960 8.1743

0.348936819 0.306775405 0.142223 0.340273 0.184452754 0.161223132 0.947321106 15.2703 7.0960 8.1743

Deficit 0.0001

19 20 21 22 23 24 25

0.123689873 0.106892483 0.045811 0.117582 0.059554383 0.061081419 0.46879989 15.2704 11.3031 3.9672

0.356321383 0.311412484 0.140627 0.344431 0.182523116 0.168563611 1.100347294 148.8649 139.4221 9.4428

0.581573095 0.511299656 0.237041 0.567127 0.307424078 0.268707642 1.578882856 148.8649 135.2149 13.6500

0.232633416 0.204521702 0.094817 0.226851 0.122969769 0.107483119 0.631553142 133.5944 128.1188 5.4756

0.348939679 0.306777955 0.142224 0.340276 0.184454309 0.161224523 0.947329713 15.2704 7.0961 8.1743

Page 124