rodparam_open.xlsx
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Moly-Cop Tools TM (Version 3.0)
Test N 0
SELECTION FUNCTION :
alpha0 0.003642
alpha1 0.650
alpha2 3.5
Dcrit 14414
Expanded Form
alpha02 0.000
alpha12 1.000
BREAKAGE FUNCTION :
beta0 0.2
beta1 0.3
beta2 4.0
Expanded Form
beta01 0.000f 0.946
Objective Function 1.81
RODPARAM_OPEN: Estimation of Grinding Parameters from Plant Scale Data
Note: Current calculations are not valid, if SOLVER has not been run after the last data modifica
1
10
100
10 100 1000 10000 1000
%Passing
Particle Size, microns
Feed
Discharge (Exp.)
Discharge (Adjusted)
SiE * 10
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Moly-Cop Tools TM (Version 3.0)
Remarks
Mill Dimensions and Operating Conditions 213 Rods
Eff. Diam. Eff. Length Speed Charge Rods Lift 0 Overfilling
ft ft % Critical Filling,% Filling,% Angle, () 33 Slurry
7.50 12.00 72.0 30.00 30.00 45.02 246 Net Power
rpm 20.14 10.0 % Losses274 Gross kW
% Solids (by weight) 71.9 Charge Apparent Mill Flow
Ore Density, ton/m3 2.70 Volume, Rod Density
Slurry Density, ton/m3 1.83 m3 Charge Interstitial Excess ton/m3 Total Ene
Rods Density, ton/m3 7.75 4.51 20.98 3.30 0.00 5.381 Rods EnFeed Moisture, % 1.5
i Mesh Opening Mid-Size % Ret % Pass % Ret % Pass % Ret % Pass Exp Adj.
1 1.05 25400 100.00 100.00 100.00
2 0.742 19050 21997 0.00 100.00 0.00 100.00 0.00 100.00 100.00 100.0
3 0.525 12700 15554 0.00 100.00 0.00 100.00 0.00 100.00 100.00 100.04 0.371 9500 10984 8.64 91.36 0.00 100.00 0.67 99.33 100.00 99.3
5 3 6700 7978 27.84 63.52 0.98 99.02 3.25 96.07 99.02 96.0
6 4 4750 5641 20.15 43.37 6.94 92.08 7.69 88.39 92.08 88.3
7 6 3350 3989 10.86 32.51 13.08 79.00 11.85 76.54 79.00 76.54
8 8 2360 2812 8.70 23.81 17.89 61.11 13.75 62.79 61.11 62.7
9 10 1700 2003 4.97 18.84 12.10 49.01 12.16 50.63 49.01 50.6
10 14 1180 1416 3.67 15.17 9.38 39.63 10.34 40.30 39.63 40.3
11 20 850 1001 2.42 12.75 6.29 33.34 7.12 33.17 33.34 33.1
12 28 600 714 2.04 10.70 5.42 27.93 5.50 27.67 27.93 27.6
13 35 425 505 1.54 9.17 4.04 23.89 4.13 23.55 23.89 23.5
14 48 300 357 1.32 7.84 3.43 20.46 3.29 20.26 20.46 20.2
15 65 212 252 1.06 6.79 2.87 17.58 2.65 17.61 17.58 17.6
16 100 150 178 0.95 5.84 2.29 15.30 2.26 15.34 15.30 15.34
17 150 106 126 0.79 5.05 1.93 13.36 1.93 13.41 13.36 13.4
18 200 75 89 0.72 4.33 1.62 11.74 1.70 11.72 11.74 11.7219 270 53 63 0.60 3.73 1.53 10.22 1.46 10.26 10.22 10.2
20 400 38 45 0.32 3.42 1.04 9.17 1.06 9.19 9.17 9.1
21 -400 0 19 3.42 0.00 9.17 0.00 9.19 0.00 0.00 0.0
(*) Cont ribu ted by Jav ier Jofrfrom Moly-Cop Chile S.A.
% Passing
O
Base Case Example
Feed Size Distributions
Mill Feed Mill Disch. (exp) Mill Disch. (adj)
Mill Charge Weight, tons
Slurry
Interstitial
Slurry Filling,%
100.00
RODPARAM_OPEN : Estimation of Grinding Parameters from Plant Scale Data(*)
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Moly-Cop Tools TM (Version 3.0)
Test N 0
Remarks
ton/hr 92.6
F80 8362
Water, m3/hr 1.4 P80 3729.4
% Solids 71.94
Gross kW 273.5
kWh/ton 2.95 % Rods 30.00
Wio 54.30 % Critical 72.00% Solids 71.94
Base Case Example
Moly-Cop Tools/ 249328020.xlsx.ms_office / Flowsheet 10/28/2014 / 11:1
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Test N 0
Remarks:
Eff. Diameter, ft 7.5 Mill Power, kW (Gross) 274
Eff. Length, ft 12.0 Mill Power, kW (Net) 246
Speed, % Critical 72.0
App. Density, ton/m3 5.38
Charge Level, % 30.0 Sp. Energy, kWh/ton (Gross) 2.95
Rod Filling, % 30.0 Op. Work Index, kWh/ton (Gross) 54.30
Lift Angle, () 45.0 Arbiter's Flow Number 1.17
Mill Mill
Feed Discharge
Ore, ton/hr 92.6 92.6
Water, m3/hr 1.4 36.1
Slurry, ton/hr 94.0 128.7
Slurry, m3/hr 35.7 70.4
Slurry Dens., ton/m3 2.632 1.828 % Solids (by volume) 96.0 48.7
% Solids (by weight) 98.5 71.9
i Mesh Opening
1 1.05 25400 21997 100.00 100.00
2 0.742 19050 15554 100.00 100.00
3 0.525 12700 10984 100.00 100.00
4 0.371 9500 7978 91.36 99.33
5 3 6700 5641 63.52 96.07
6 4 4750 3989 43.37 88.39
7 6 3350 2812 32.51 76.54
8 8 2360 2003 23.81 62.799 10 1700 1416 18.84 50.63
10 14 1180 1001 15.17 40.30
11 20 850 714 12.75 33.17
12 28 600 505 10.70 27.67
13 35 425 357 9.17 23.55
14 48 300 252 7.84 20.26
15 65 212 178 6.79 17.61
16 100 150 126 5.84 15.34
17 150 106 89 5.05 13.41
18 200 75 63 4.33 11.72
19 270 53 45 3.73 10.26
20 400 38 19 3.42 9.19
D80, microns 8362 3729
alpha01 alpha02 alpha11 alpha12 alpha2 Dcrit
0.00364 0.0000000 0.650 1.000 3.5 14414
Beta00 Beta01 Beta1 Beta2
0.185 0.000 0.35 4.00
Moly-Cop ToolsTM
, Version 3.0
Size Distributions
Breakage Function Parameters
Selection Function Parameters
RODPARAMConventional Open Circuit Grinding Simulator
Base Case Example
% Passing
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SiE
Selection Function :
alpha01 alpha02 alpha11 alpha12 alpha2 dcrit
0.003642 0 0.65 3.5 3.5 14414
i Mesh Opening Mid-Size SiE
1 1.05 25400
2 0.742 19050 21997.05 0.4490285 0.449028498 0 4.490285
3 0.525 12700 15554.26 0.8382002 0.838200173 0 8.382002
4 0.371 9500 10984.08 1.1117968 1.111796844 0 11.11797
5 3 6700 7978.095 1.1117986 1.111798633 0 11.11799
6 4 4750 5641.365 0.9633849 0.911008327 0.052376556 9.633849
7 6 3350 3989.048 0.7891148 0.746212828 0.042901977 7.891148
8 8 2360 2811.761 0.633586 0.599139724 0.03444631 6.33586
9 10 1700 2002.998 0.5093887 0.481694614 0.027694044 5.09388710 14 1180 1416.333 0.4069299 0.384806259 0.022123647 4.069299
11 20 850 1001.499 0.3249194 0.307254409 0.017664962 3.249194
12 28 600 714.1428 0.2608193 0.246639294 0.014180021 2.608193
13 35 425 504.9752 0.2082156 0.196895496 0.011320103 2.082156
14 48 300 357.0714 0.1662191 0.157182246 0.009036871 1.662191
15 65 212 252.1904 0.1325911 0.125382514 0.007208611 1.325911
16 100 150 178.3255 0.1058473 0.100092708 0.005754625 1.058473
17 150 106 126.0952 0.0844978 0.079903859 0.004593909 0.844978
18 200 75 89.16277 0.0674544 0.063787125 0.00366731 0.674544
19 270 53 63.0476 0.0538488 0.050921159 0.002927608 0.538488
20 400 38 44.87761 0.0431728 0.040825644 0.002347187 0.431728
21 -400 0 19 0.000000 9.45633E-08 5.43672E-09 0.000001
714.14284
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Bij
reakage Function :
eta00 Beta01 Beta1 Beta2
0.184959 0 0.348397 4
Mesh Opening Beta0J Cummulative
1 1.05 25400 0.184959 1
2 0.742 19050 0.184959 1 1
3 0.525 12700 0.184959 0.321588 1 1
4 0.371 9500 0.184959 0.195551 0.422354 1 1
5 3 6700 0.184959 0.140989 0.211152 0.365416 1 1
6 4 4750 0.184959 0.117155 0.147251 0.196217 0.36997 1 1
7 6 3350 0.184959 0.101725 0.120208 0.141239 0.196217 0.365416 1 1
8 8 2360 0.184959 0.08954 0.103876 0.116961 0.141133 0.194622 0.364456 1 1
9 10 1700 0.184959 0.07975 0.092053 0.102397 0.118077 0.142674 0.200079 0.38443 1 1
10 14 1180 0.184959 0.070191 0.080888 0.089624 0.101783 0.116961 0.141133 0.196217 0.352062 1
11 20 850 0.184959 0.062603 0.072114 0.079824 0.090302 0.102397 0.118077 0.143303 0.196217 0.38443
12 28 600 0.184959 0.055447 0.063863 0.070669 0.079848 0.090162 0.102431 0.118184 0.141323 0.200613 0.36
13 35 425 0.184959 0.04917 0.056631 0.06266 0.070776 0.079824 0.090302 0.102643 0.117293 0.143303 0.19
14 48 300 0.184959 0.043551 0.050159 0.055498 0.06268 0.070669 0.079848 0.090367 0.101859 0.118184 0.14
15 65 212 0.184959 0.038589 0.044444 0.049174 0.055536 0.062609 0.070718 0.079935 0.089751 0.102551 0.1116 100 150 0.184959 0.034207 0.039397 0.04359 0.04923 0.055498 0.06268 0.070825 0.079435 0.090367 0.10
17 150 106 0.184959 0.03031 0.034909 0.038624 0.043621 0.049174 0.055536 0.062747 0.070353 0.079935 0.08
18 200 75 0.184959 0.026868 0.030945 0.034238 0.038668 0.04359 0.04923 0.05562 0.062357 0.070825 0.07
19 270 53 0.184959 0.023807 0.027419 0.030337 0.034262 0.038624 0.043621 0.049283 0.05525 0.062747 0.07
20 400 38 0.184959 0.021201 0.024418 0.027017 0.030512 0.034397 0.038846 0.043889 0.049203 0.055878 0.06
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Bij
1
1 1
0.369198 1 1
0.196217 0.366175 1 1
0.141429 0.19562 0.367139 1 10.117293 0.141323 0.196217 0.368226 1 1
0.101902 0.117169 0.141429 0.196217 0.367139 1 1
0.089826 0.101859 0.117293 0.141548 0.196217 0.368226 1 1
0.079466 0.089751 0.101902 0.117293 0.141429 0.196217 0.367139 1 1
0.070737 0.079804 0.090252 0.102461 0.117994 0.142838 0.199661 0.380098 1 1
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Bij
0
0.630802 0
0.172981 0.633825 0
0.054789 0.170555 0.632861 0
0.024136 0.054298 0.170922 0.631774 0
0.015391 0.024153 0.054789 0.172008 0.632861 0
0.012076 0.01531 0.024136 0.054669 0.170922 0.631774 0
0.010361 0.012108 0.015391 0.024255 0.054789 0.172008 0.632861 0
0.008728 0.009947 0.01165 0.014831 0.023435 0.053379 0.167479 0.619902 0
0.070737 0.079804 0.090252 0.102461 0.117994 0.142838 0.199661 0.380098 1 0
1 1 1 1 1 1 1 1 1 0
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Matrix B
1 2 3 4 5 6
1 -1 0 0 0 0 0
2 0.6784117 -1 0 0 0 0
3 0.1260369 0.577646216 -1 0 0 04 0.0545621 0.211201494 0.6345839 -1 0 0
5 0.0238346 0.06390115 0.169198946 0.63003 -1 0
6 0.0154298 0.027043455 0.054978277 0.1737528 0.6345839 -1
7 0.0121851 0.016331303 0.02427763 0.0550843 0.170794 0.635544366
8 0.0097896 0.011823604 0.014564577 0.0230555 0.0519481 0.164376724
9 0.0095594 0.011165069 0.012772862 0.0162944 0.0257127 0.058946025
10 0.0075879 0.008773473 0.009799938 0.0114806 0.0145646 0.023055489
11 0.007156 0.008251306 0.009155199 0.0104539 0.0122342 0.015646731
12 0.0062774 0.007232188 0.00800829 0.0090725 0.0103386 0.012128294
13 0.005619 0.00647215 0.007162619 0.0080964 0.0091552 0.010453924
14 0.0049619 0.005714861 0.006323522 0.0071433 0.0080597 0.009130717
15 0.0043817 0.005046543 0.005583772 0.0063066 0.0071112 0.00803817816 0.0038973 0.004488635 0.004966409 0.005609 0.0063235 0.007143332
17 0.0034416 0.003963803 0.004385698 0.0049531 0.0055838 0.006306554
18 0.0030612 0.003525617 0.003900868 0.0044055 0.0049664 0.005608995
19 0.0026056 0.003000971 0.00332038 0.0037499 0.0042273 0.00477423
20 0.0212013 0.02441816 0.027017113 0.0305122 0.0343967 0.038846442
Matrix S
1 2 3 4 5 6
1 0.4490285 0 0 0 0 0
2 0 0.838200173 0 0 0 0
3 0 0 1.111796844 0 0 0
4 0 0 0 1.1117986 0 0
5 0 0 0 0 0.9633849 0
6 0 0 0 0 0 0.789114804
7 0 0 0 0 0 0
8 0 0 0 0 0 0
9 0 0 0 0 0 0
10 0 0 0 0 0 0
11 0 0 0 0 0 0
12 0 0 0 0 0 0
13 0 0 0 0 0 0
14 0 0 0 0 0 0
15 0 0 0 0 0 0
16 0 0 0 0 0 017 0 0 0 0 0 0
18 0 0 0 0 0 0
19 0 0 0 0 0 0
20 0 0 0 0 0 0
Matrix T
1 2 3 4 5 6
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1 -1.031422 0 0 0 0 0
2 0.6997287 -1.925352514 0 0 0 0
3 0.1299972 1.112172595 -2.55380626 0 0 0
4 0.0562766 0.406637328 1.620604336 -2.55381 0 0
5 0.0245835 0.12303224 0.432101327 1.6089772 -2.212903 0
6 0.0159146 0.052068184 0.140403868 0.4437318 1.4042725 -1.812603029
7 0.012568 0.031443515 0.062000364 0.1406748 0.3779506 1.1519896428 0.0100972 0.022764605 0.037195109 0.0588793 0.1149561 0.297949747
9 0.0098598 0.021496694 0.032619414 0.0416128 0.0568998 0.106845744
10 0.0078263 0.016892029 0.025027143 0.0293193 0.03223 0.04179045
11 0.0073809 0.015886673 0.023380606 0.0266973 0.027073 0.028361312
12 0.0064746 0.013924512 0.020451621 0.0231695 0.0228784 0.021983782
13 0.0057956 0.012461171 0.018291942 0.0206766 0.0202596 0.018948814
14 0.0051178 0.011003123 0.016149049 0.0182427 0.0178354 0.016550366
15 0.0045194 0.009716374 0.014259871 0.0161057 0.0157364 0.014570026
16 0.0040198 0.008642204 0.012683245 0.0143243 0.0139933 0.012948025
17 0.0035498 0.007631719 0.011200223 0.0126492 0.0123563 0.011431278
18 0.0031573 0.006788055 0.009962062 0.0112508 0.0109902 0.010166882
19 0.0026875 0.005777927 0.008479608 0.0095766 0.0093547 0.00865378320 0.0218675 0.047013566 0.068996472 0.0779223 0.0761166 0.070413178
Matrix P
1 2 3 4 5 6
1 1 0 0 0 0 0
2 0.7827552 1 0 0 0 0
3 0.6572297 1.76969682 1 0 0 0
4 0.9456742 5.210557319 394497.082 1 0 0
5 1.630535 32.24266805 -1861926.6 -4.719687 1 0
6 3.6589345 -424.7480329 3291406.665 8.3431383 -3.508052 1
7 11.894125 1013.286631 -2861699.952 -7.253872 4.8357023 -3.224596098
8 86.847924 -1039.773798 1281930.76 3.2494388 -3.262173 4.032281479
9 -720.4844 559.2226229 -278030.8166 -0.704749 1.1473386 -2.597824783
10 1394.4658 -164.2918744 31804.83093 0.0806179 -0.220466 0.905971089
11 -1253.896 16.85497382 781.7848271 0.0019817 0.0076414 -0.125005388
12 574.45693 -0.503271051 165.148812 0.0004186 0.000116 0.006660372
13 -114.6726 -0.054926474 123.5653633 0.0003132 -1.78E-06 0.000530016
14 9.2763011 -0.026562251 106.8059137 0.0002707 -1.06E-05 0.000243975
15 0.4534102 -0.021444677 94.34336296 0.0002391 -1.04E-05 0.000197262
16 0.3381565 -0.018888116 84.18192072 0.0002134 -9.48E-06 0.000173988
17 0.2958143 -0.016692534 74.52726375 0.0001889 -8.42E-06 0.000153837
18 0.2641766 -0.014888501 66.45473334 0.0001685 -7.52E-06 0.000137248
19 0.2252395 -0.012687296 56.62096121 0.0001435 -6.41E-06 0.000116965
20 1.8604284 -0.104083556 463.597684 0.0011751 -5.25E-05 0.00096004
Matrix D
1 2 3 4 5 6
1 0.3564996 0 0 0 0 0
2 0 0.145824343 0 0 0 0
3 0 0 0.077785032 0 0 0
4 0 0 0 0.0777847 0 0
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5 0 0 0 0 0.1093827 0
6 0 0 0 0 0 0.163228694
7 0 0 0 0 0 0
8 0 0 0 0 0 0
9 0 0 0 0 0 0
10 0 0 0 0 0 0
11 0 0 0 0 0 012 0 0 0 0 0 0
13 0 0 0 0 0 0
14 0 0 0 0 0 0
15 0 0 0 0 0 0
16 0 0 0 0 0 0
17 0 0 0 0 0 0
18 0 0 0 0 0 0
19 0 0 0 0 0 0
20 0 0 0 0 0 0
Matrix P
-1
1 2 3 4 5 6
1 1 0.0000 0.0000 0.0000 0.0000 0.0000
2 -0.782755 1.0000 0.0000 0.0000 0.0000 0.0000
3 0.7280097 -1.7697 1.0000 0.0000 0.0000 0.0000
4 -287194.6 698135.0210 -394497.0820 1.0000 0.0000 0.0000
5 55.650865 -98.7841 23.7042 4.7197 1.0000 0.0000
6 -212.8819 233.1043 20.1935 8.2138 3.5081 1.0000
7 -101.6165 56.8148 19.1226 10.9170 6.4763 3.2246
8 -216.7443 37.7444 19.3258 13.3093 9.4544 6.0939
9 263.53647 30.7167 19.7197 15.3232 12.2136 9.1792
10 77.958447 25.8865 19.0695 16.0513 13.8016 11.4328
11 50.550171 24.7506 19.9168 17.6876 15.9965 14.1196
12 23.678128 15.0752 13.0688 12.1530 11.4744 10.6843
13 23.516072 16.9898 15.3304 14.6131 14.1156 13.5201
14 22.074395 17.3888 16.1476 15.6622 15.3700 15.0123
15 20.860291 17.4637 16.5549 16.2523 16.1205 15.9560
16 19.861422 17.3759 16.7195 16.5505 16.5329 16.5095
17 19.010271 17.1784 16.7095 16.6332 16.6901 16.7611
18 18.357966 16.9934 16.6599 16.6445 16.7457 16.8740
19 18.055271 17.0131 16.7729 16.7950 16.9202 17.0800
20 1.0000046 1.00000 1.00000 1.0000 1.0000 1.0000
Matrix P*D
1 2 3 4 5 61 0.3564996 0 0 0 0 0
2 0.279052 0.145824343 0 0 0 0
3 0.2343021 0.258064875 0.077785032 0 0 0
4 0.3371325 0.759826096 30685.96807 0.0777847 0 0
5 0.5812851 4.701765873 -144830.0198 -0.36712 0.1093827 0
6 1.3044088 -61.93860268 256022.1721 0.6489686 -0.38372 0.163228694
7 4.2402511 147.7618568 -222597.4218 -0.56424 0.528942 -0.526346611
8 30.961253 -151.6243306 99715.02497 0.2527567 -0.356825 0.658184041
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9 -256.8524 81.54827137 -21626.63591 -0.054819 0.125499 -0.424039547
10 497.12656 -23.95775458 2473.939785 0.0062708 -0.024115 0.147880478
11 -447.0136 2.457865477 60.81115764 0.0001541 0.0008358 -0.020404466
12 204.79369 -0.07338917 12.8461056 3.256E-05 1.269E-05 0.001087164
13 -40.88075 -0.008009617 9.611535715 2.436E-05 -1.95E-07 8.65138E-05
14 3.306998 -0.003873423 8.307901392 2.106E-05 -1.15E-06 3.98237E-05
15 0.1616406 -0.003127156 7.338501488 1.86E-05 -1.14E-06 3.21988E-0516 0.1205527 -0.002754347 6.548093381 1.66E-05 -1.04E-06 2.83998E-05
17 0.1054577 -0.002434178 5.797105581 1.469E-05 -9.21E-07 2.51106E-05
18 0.0941789 -0.002171106 5.169183547 1.31E-05 -8.22E-07 2.24027E-05
19 0.0802978 -0.001850117 4.404263268 1.116E-05 -7.01E-07 1.90921E-05
20 0.663242 -0.015177916 36.0609606 9.141E-05 -5.74E-06 0.000156706
Matrix H
1 2 3 4 5 6
1 0.3564996 0.0000 0.0000 0.0000 0.0000 0.0000
2 0.1649072 0.145824343 0.0000 0.0000 0.0000 0.0000
3 0.0889288 0.120408952 0.077785032 0.0000 0.0000 0.00004 0.0778395 0.131439066 0.126058501 0.0778 0.0000 0.0000
5 0.0625763 0.125308578 0.154040362 0.1491 0.1094 0.0000
6 0.0486452 0.106347858 0.149612026 0.1787 0.1889 0.1632
7 0.0356558 0.079031582 0.11795976 0.1560 0.1935 0.2260
8 0.0247342 0.05241053 0.078160151 0.1066 0.1411 0.1868
9 0.0202004 0.039427767 0.05590549 0.0738 0.0972 0.1330
10 0.0147444 0.026670153 0.035356669 0.0435 0.0542 0.0721
11 0.0128709 0.02208217 0.027619678 0.0315 0.0360 0.0439
12 0.0110354 0.018406162 0.022202122 0.0239 0.0252 0.0277
13 0.0095972 0.015784641 0.018689739 0.0195 0.0196 0.0198
14 0.0083554 0.013661241 0.016046876 0.0165 0.0162 0.0157
15 0.0073151 0.011930618 0.013969079 0.0143 0.0139 0.0132
16 0.0064666 0.010534831 0.012318383 0.0126 0.0122 0.0115
17 0.0056878 0.009260937 0.010822578 0.0110 0.0107 0.0100
18 0.0050422 0.00820677 0.009587585 0.0098 0.0094 0.0089
19 0.0042856 0.006974158 0.00814651 0.0083 0.0080 0.0075
20 0.0346125 0.056289635 0.065719451 0.0670 0.0646 0.0608
Matrix C
1 2 3 4 5 6
1 0 0 0 0 0 0
2 0 0 0 0 0 0
3 0 0 0 0 0 0
4 0 0 0 0 0 05 0 0 0 0 0 0
6 0 0 0 0 0 0
7 0 0 0 0 0 0
8 0 0 0 0 0 0
9 0 0 0 0 0 0
10 0 0 0 0 0 0
11 0 0 0 0 0 0
12 0 0 0 0 0 0
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13 0 0 0 0 0 0
14 0 0 0 0 0 0
15 0 0 0 0 0 0
16 0 0 0 0 0 0
17 0 0 0 0 0 0
18 0 0 0 0 0 0
19 0 0 0 0 0 020 0 0 0 0 0 0
Matrix M
1 2 3 4 5 6
1 -0.6435 6.43867E-15 7.88009E-15 1.031E-15 1.238E-15 2.07947E-15
2 0.1649072 -0.854175657 5.29615E-15 5.58E-16 6.569E-16 1.13088E-15
3 0.0889288 0.120408952 -0.922214968 3.355E-16 3.753E-16 6.62984E-16
4 0.0778395 0.131439066 0.126058501 -0.9222 3.631E-16 6.28835E-16
5 0.0625763 0.125308578 0.154040362 0.1491325 -0.8906 5.90846E-16
6 0.0486452 0.106347858 0.149612026 0.1786528 0.1888947 -0.8368
7 0.0356558 0.079031582 0.11795976 0.1560361 0.1935406 0.2260102688 0.0247342 0.05241053 0.078160151 0.1065639 0.1410955 0.18677582
9 0.0202004 0.039427767 0.05590549 0.0738017 0.0972125 0.132963073
10 0.0147444 0.026670153 0.035356669 0.0435406 0.0542365 0.072074751
11 0.0128709 0.02208217 0.027619678 0.0314973 0.0359869 0.043924942
12 0.0110354 0.018406162 0.022202122 0.0239067 0.0252034 0.027692609
13 0.0095972 0.015784641 0.018689739 0.0195044 0.0195533 0.019806755
14 0.0083554 0.013661241 0.016046876 0.0165147 0.0161607 0.015658859
15 0.0073151 0.011930618 0.013969079 0.0142982 0.0138566 0.013172828
16 0.0064666 0.010534831 0.012318383 0.0125831 0.0121515 0.011469536
17 0.0056878 0.009260937 0.010822578 0.011047 0.0106552 0.010032359
18 0.0050422 0.00820677 0.009587585 0.0097836 0.0094327 0.008874253
19 0.0042856 0.006974158 0.00814651 0.0083122 0.0080131 0.007536756
20 0.0346125 0.056289635 0.065719451 0.0670406 0.064624 0.060778488
Matrix N
1 2 3 4 5 6
1 1.4330947 -2.90825E-14 -2.49118E-14 -1.88E-14 -1.91E-14 -1.95504E-14
2 0.3240884 1.019059271 -1.29798E-14 -8.7E-15 -8.79E-15 -8.95648E-15
3 0.134102 0.335495092 0.829481549 -4.69E-15 -4.71E-15 -4.79606E-15
4 0.0982706 0.256939889 0.412992296 0.8294805 -4.14E-15 -4.19858E-15
5 0.0666212 0.178914603 0.302355487 0.4483056 0.9244668 -3.43627E-15
6 0.0463046 0.122001754 0.210001693 0.3239778 0.476834 1.060392355
7 0.0322675 0.079443346 0.133827716 0.2067728 0.3120525 0.482641669
8 0.0223662 0.050003054 0.079358424 0.1174011 0.1741837 0.2728923499 0.018929 0.038365894 0.055942915 0.0757037 0.1046109 0.157236956
10 0.0141985 0.026875381 0.036364463 0.0444636 0.0551031 0.07524631
11 0.0127234 0.023193601 0.029915177 0.0338194 0.0375989 0.045002865
12 0.0110262 0.019751538 0.024856501 0.0268374 0.0276357 0.02933142
13 0.0096861 0.017219304 0.021435898 0.0226614 0.0224438 0.022141476
14 0.0084766 0.015024722 0.018625041 0.0195261 0.019027 0.018151083
15 0.0074436 0.013178759 0.016311038 0.0170486 0.0165141 0.015552447
16 0.0065937 0.011668359 0.014432863 0.0150696 0.0145673 0.013657394
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17 0.0058072 0.010274143 0.012705179 0.0132608 0.0128102 0.011992213
18 0.0051534 0.009116248 0.011271843 0.0117632 0.011361 0.01063056
19 0.0043821 0.007751468 0.009583856 0.0100012 0.0096586 0.009036275
20 0.035473 0.062731598 0.077546081 0.0809152 0.0781406 0.073102646
Matrix E1 2 3 4 5 6
1 0 0 0 0 0 0
2 0 0 0 0 0 0
3 0 0 0 0 0 0
4 0 0 0 0 0 0
5 0 0 0 0 0 0
6 0 0 0 0 0 0
7 0 0 0 0 0 0
8 0 0 0 0 0 0
9 0 0 0 0 0 0
10 0 0 0 0 0 0
11 0 0 0 0 0 012 0 0 0 0 0 0
13 0 0 0 0 0 0
14 0 0 0 0 0 0
15 0 0 0 0 0 0
16 0 0 0 0 0 0
17 0 0 0 0 0 0
18 0 0 0 0 0 0
19 0 0 0 0 0 0
20 0 0 0 0 0 0
Matrix G
1 2 3 4 5 6
1 0.3564996 6.43867E-15 7.88009E-15 1.031E-15 1.238E-15 2.07947E-15
2 0.1649072 0.145824343 5.29615E-15 5.58E-16 6.569E-16 1.13088E-15
3 0.0889288 0.120408952 0.077785032 3.355E-16 3.753E-16 6.62984E-16
4 0.0778395 0.131439066 0.126058501 0.0777847 3.631E-16 6.28835E-16
5 0.0625763 0.125308578 0.154040362 0.1491325 0.1093827 5.90846E-16
6 0.0486452 0.106347858 0.149612026 0.1786528 0.1888947 0.163228694
7 0.0356558 0.079031582 0.11795976 0.1560361 0.1935406 0.226010268
8 0.0247342 0.05241053 0.078160151 0.1065639 0.1410955 0.18677582
9 0.0202004 0.039427767 0.05590549 0.0738017 0.0972125 0.132963073
10 0.0147444 0.026670153 0.035356669 0.0435406 0.0542365 0.072074751
11 0.0128709 0.02208217 0.027619678 0.0314973 0.0359869 0.043924942
12 0.0110354 0.018406162 0.022202122 0.0239067 0.0252034 0.02769260913 0.0095972 0.015784641 0.018689739 0.0195044 0.0195533 0.019806755
14 0.0083554 0.013661241 0.016046876 0.0165147 0.0161607 0.015658859
15 0.0073151 0.011930618 0.013969079 0.0142982 0.0138566 0.013172828
16 0.0064666 0.010534831 0.012318383 0.0125831 0.0121515 0.011469536
17 0.0056878 0.009260937 0.010822578 0.011047 0.0106552 0.010032359
18 0.0050422 0.00820677 0.009587585 0.0097836 0.0094327 0.008874253
19 0.0042856 0.006974158 0.00814651 0.0083122 0.0080131 0.007536756
20 0.0346125 0.056289635 0.065719451 0.0670406 0.064624 0.060778488
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100.0001 0.000 100.000 1 1.76419E-13
2 0.000 100.000 2 9.98607E-14
3 8.641 91.359 3 0.67210569
4 27.842 63.518 4 3.254880149
5 20.152 43.366 5 7.687353817
6 10.858 32.508 6 11.84567428
7 8.698 23.810 7 13.74725556
8 4.973 18.836 8 12.16102104
9 3.667 15.169 9 10.33604482
10 2.419 12.750 10 7.122420664
11 2.045 10.705 11 5.500487492
12 1.536 9.169 12 4.12674837213 1.325 7.844 13 3.286750682
14 1.056 6.788 14 2.652921594
15 0.950 5.837 15 2.264090679
16 0.787 5.050 16 1.927763501
17 0.720 4.330 17 1.698451531
18 0.595 3.735 18 1.460804733
19 0.317 3.418 19 1.063933569
20 3.418 20 9.191290221
Total 100.0000 100.0000
Mill Feed Mill Dis
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7 8 9 10 11 12 13
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 00 0 0 0 0 0 0
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0 0 0 0 0 0 0
-1 0 0 0 0 0 0
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0.188212452 0.647938 -1 0 0 0 0
0.052914227 0.155845 0.615570394 -1 0 0 0
0.025118875 0.054895 0.183816915 0.633824744 -1 0 0
0.0155415 0.02403 0.057309764 0.169958102 0.630801665 -1 0
0.012275946 0.015433 0.025118875 0.054894624 0.172981181 0.633824744 -1
0.010431206 0.012108 0.015633042 0.024153479 0.054788528 0.170555032 0.632861
0.009110261 0.010316 0.012184403 0.015309664 0.024136103 0.054297694 0.1709220.008077763 0.009082 0.010431206 0.012108372 0.015390507 0.024153479 0.054789
0.007126957 0.007996 0.009110261 0.010316394 0.012075606 0.015309664 0.024136
0.00633751 0.007106 0.008077763 0.009081649 0.01036085 0.012108372 0.015391
0.005394049 0.006048 0.006869656 0.007707712 0.00872843 0.009946528 0.01165
0.043888862 0.049203 0.055877721 0.062645261 0.070737132 0.079804488 0.090252
7 8 9 10 11 12 13
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
0.633586034 0 0 0 0 0 0
0 0.509389 0 0 0 0 0
0 0 0.406929906 0 0 0 0
0 0 0 0.324919371 0 0 0
0 0 0 0 0.260819315 0 0
0 0 0 0 0 0.196895496 0
0 0 0 0 0 0 0.157182
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0 0 0 0 0 0 0
0 0 0 0 0 0 0
7 8 9 10 11 12 13
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0 0 0 0 0 0 0
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0 0 0 0 0 0 0
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0 0 0 0 0 0 0
0 0 0 0 0 0 0
-1.455352196 0 0 0 0 0 00.895871725 -1.17007 0 0 0 0 0
0.273915405 0.758133 -0.934721256 0 0 0 0
0.077008837 0.18235 0.575386732 -0.746342399 0 0 0
0.03655681 0.064231 0.171817578 0.47305028 -0.599104055 0 0
0.022618356 0.028117 0.053568654 0.126846937 0.377915835 -0.452270532 0
0.017865824 0.018058 0.023479146 0.040970185 0.103633727 0.286660254 -0.361049
0.015181078 0.014168 0.014612537 0.018026766 0.032824029 0.077137015 0.228494
0.013258639 0.012071 0.01138902 0.011426251 0.014460037 0.024557247 0.061711
0.01175599 0.010626 0.00975027 0.009036991 0.009220515 0.010923907 0.019781
0.010372232 0.009356 0.008515555 0.007699562 0.007234544 0.00692411 0.008714
0.009223309 0.008315 0.007550457 0.00677802 0.006207227 0.00547626 0.005557
0.007850241 0.007076 0.006421214 0.005752592 0.005229238 0.004498522 0.0042060.063873752 0.057571 0.052230094 0.046754814 0.042378903 0.036093218 0.032585
7 8 9 10 11 12 13
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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-3.140298278 1 0 0 0 0 0
4.046718634 -3.221318 1 0 0 0 0
-2.585020971 3.943936 -3.054412484 1 0 0 0
0.808987163 -2.410708 3.793229613 -3.212819899 1 0 0
-0.128531509 0.773494 -2.279294587 3.69749269 -2.573770801 1 0
0.002506627 -0.093826 0.630912966 -1.993124296 2.663937289 -3.142458409 1
-0.000373625 0.003073 -0.081027787 0.562103971 -1.423929342 3.901567944 -3.128153
-0.00043395 0.000689 0.000628937 -0.067865567 0.388523795 -2.43094823 3.869815
-0.000397544 0.00053 -0.001041109 0.002933428 -0.047627534 0.787660631 -2.410502
-0.000353726 0.000463 -0.000995052 0.00131215 0.000103002 -0.12027357 0.783
-0.000316146 0.000413 -0.000897068 0.001120832 -0.000763865 0.004885213 -0.11863
-0.000269546 0.000352 -0.000765916 0.000951414 -0.000688622 9.0409E-05 0.004896
-0.002217131 0.002902 -0.006337515 0.007895279 -0.005783924 -0.000523989 -0.000425
7 8 9 10 11 12 13
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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0 0 0 0 0 0 0
0 0 0 0 0 0 0
0.233318176 0 0 0 0 0 0
0 0.310345 0 0 0 0 0
0 0 0.392695312 0 0 0 0
0 0 0 0.474097445 0 0 0
0 0 0 0 0.549303561 0 00 0 0 0 0 0.636182039 0
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7 8 9 10 11 12 13
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
1.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
3.1403 1.0000 0.0000 0.0000 0.0000 0.0000 0.0000
6.0692 3.2213 1.0000 0.0000 0.0000 0.0000 0.0000
8.7377 5.8953 3.0544 1.0000 0.0000 0.0000 0.0000
11.8121 9.1320 6.0200 3.2128 1.0000 0.0000 0.0000
9.6272 8.2748 6.4798 4.5716 2.5738 1.0000 0.0000
12.6646 11.4875 9.7825 7.8003 5.4240 3.1425 1.0000
14.4462 13.5976 12.2560 10.5771 8.3494 5.9285 3.1282
15.6407 15.1013 14.1518 12.8769 11.0304 8.8397 5.9283
16.3874 16.1010 15.5013 14.6256 13.2375 11.4698 8.8473
16.7753 16.6777 16.3577 15.8242 14.8746 13.5816 11.4547
16.9764 17.0087 16.8936 16.6249 16.0410 15.1814 13.5915
17.2352 17.3502 17.3740 17.2926 16.9828 16.4673 15.3478
1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
7 8 9 10 11 12 130 0 0 0 0 0 0
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0.944173009 -0.999721 0.392695312 0 0 0 0
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0.000584842 -0.029118 0.247756564 -0.944935136 1.46331024 -1.999175598 0.696945
-8.71735E-05 0.000954 -0.031819232 0.266492056 -0.782169458 2.48210745 -2.180151
-0.000101248 0.000214 0.000246981 -0.032174892 0.213417504 -1.546525601 2.697048-9.27542E-05 0.000165 -0.000408839 0.001390731 -0.026161974 0.501095546 -1.679987
-8.25307E-05 0.000144 -0.000390752 0.000622087 5.65793E-05 -0.076515885 0.545708
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-6.28899E-05 0.000109 -0.000300771 0.000451063 -0.000378263 5.75166E-05 0.003412
-0.000517297 0.000901 -0.002488712 0.003743132 -0.00317713 -0.000333352 -0.000296
7 8 9 10 11 12 13
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
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0.0212 0.0247 0.0343 0.0535 0.0981 0.1909 0.6969
0.0155 0.0160 0.0187 0.0250 0.0410 0.0760 0.1652
0.0125 0.0121 0.0124 0.0139 0.0188 0.0303 0.0615
0.0107 0.0101 0.0097 0.0096 0.0107 0.0138 0.0236
0.0093 0.0087 0.0081 0.0076 0.0075 0.0079 0.0106
0.0082 0.0076 0.0070 0.0065 0.0061 0.0057 0.0062
0.0070 0.0065 0.0060 0.0054 0.0050 0.0045 0.0043
0.0564 0.0521 0.0479 0.0437 0.0398 0.0348 0.0317
7 8 9 10 11 12 13
0 0 0 0 0 0 0
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0 0 0 0 0 -0.011320103 0
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0.011074662 0.010189 0.009427924 0.008748881 0.008496909 0.008681605 0.011443
0.009806277 0.008999 0.008268965 0.007548038 0.007015123 0.006443254 0.006844
0.008332747 0.007641 0.007005409 0.006360829 0.005824776 0.005140485 0.004927
0.067402592 0.061783 0.056594673 0.051269645 0.04664169 0.040408412 0.036725
7 8 9 10 11 12 13
0 0 0 0 0 -1.3484E-17 6.83E-17
0 0 0 0 0 -6.06232E-18 3.17E-17
0 0 0 0 0 -3.21907E-18 1.71E-17
0 0 0 0 0 -2.7864E-18 1.5E-17
0 0 0 0 0 -2.21645E-18 1.21E-17
0 0 0 0 0 -1.71228E-18 9.41E-18
0 0 0 0 0 -1.26817E-18 6.9E-18
0 0 0 0 0 -8.87562E-19 4.79E-18
0 0 0 0 0 -7.28338E-19 3.9E-18
0 0 0 0 0 -5.32054E-19 2.85E-18
0 0 0 0 0 1.55571E-17 2.86E-180 0 0 0 0 -0.020916968 2.28E-18
0 0 0 0 0 0.010977984 -0.017424
0 0 0 0 0 0.004371398 0.009498
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0 0 0 0 0 0.001998097 0.001822
7 8 9 10 11 12 13
1.6267E-15 8.64E-16 1.4371E-15 1.17773E-15 1.36687E-15 -2.48017E-16 1.26E-15
6.43292E-16 2.67E-16 6.11323E-16 5.10283E-16 6.66465E-16 -1.11507E-16 5.83E-16
3.06114E-16 1.03E-16 3.1177E-16 2.66158E-16 3.69194E-16 -5.92097E-17 3.15E-16
2.44471E-16 6.53E-17 2.61744E-16 2.2729E-16 3.29262E-16 -5.12514E-17 2.76E-16
1.75969E-16 3.59E-17 2.0092E-16 1.78823E-16 2.69304E-16 -4.07681E-17 2.23E-16
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Matrix S1
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1 0 0 0 0 0 0 0
2 0 0 0 0 0 0 0
3 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0
5 0 0 0 0 0 0 0
6 0 0 0 0 0 0 0
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15 0 0 0 0 0 0 0
16 0 0 0 0 0 0 017 0 0 0 0 0 0 0
18 0 0 0 0 0 0 0
19 0 0 0 0 0 0 0
20 0 0 0 0 0 0 0
Matrix A
1 2 3 4 5 6 7
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1 -0.449028 0 0 0 0 0 0
2 0.304626 -0.8382 0 0 0 0 0
3 0.056594 0.484183 -1.111796844 0 0 0 0
4 0.0245 0.177029 0.705528377 -1.111799 0 0 0
5 0.010702 0.053562 0.188114854 0.700466 -0.963385 0 0
6 0.006928 0.022668 0.061124675 0.193178 0.611349 -0.789114804 0
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9 0.004292 0.009359 0.014200827 0.018116 0.024771 0.046515181 0.119249
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13 0.002523 0.005425 0.007963377 0.009002 0.00882 0.008249346 0.007778
14 0.002228 0.00479 0.007030471 0.007942 0.007765 0.007205184 0.006609
15 0.001968 0.00423 0.00620802 0.007012 0.006851 0.006343045 0.005772
16 0.00175 0.003762 0.005521637 0.006236 0.006092 0.005636909 0.005118
17 0.001545 0.003322 0.004876005 0.005507 0.005379 0.004976595 0.004516
18 0.001375 0.002955 0.004336973 0.004898 0.004785 0.004426141 0.004015
19 0.00117 0.002515 0.003691588 0.004169 0.004073 0.003767415 0.00341820 0.00952 0.020467 0.030037541 0.033923 0.033137 0.030654302 0.027807
Matrix A-1
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13 -2.44307 -2.473785 -2.507829086 -2.555746 -2.617646 -2.698762204 -2.804652
14 -3.031457 -3.060986 -3.093716711 -3.139784 -3.199295 -3.277281197 -3.379084
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17 -5.852444 -5.878752 -5.907911464 -5.948953 -6.001971 -6.071448102 -6.162144
18 -7.321997 -7.347368 -7.37549033 -7.415071 -7.466203 -7.533207433 -7.620676
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M(0) Mill Discharge
0.00 1 1.76419E-13
0.00 2 9.98607E-14
8.64 3 0.67210569
27.84 4 3.254880149
20.15 5 7.687353817
10.86 6 11.84567428
8.70 7 13.74725556
4.97 8 12.16102104
3.67 9 10.33604482
2.42 10 7.122420664
2.04 11 5.500487492
1.54 12 4.1267483721.32 13 3.286750682
1.06 14 2.652921594
0.95 15 2.264090679
0.79 16 1.927763501
0.72 17 1.698451531
0.60 18 1.460804733
0.32 19 1.063933569
3.42 20 9.191290221
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100.00 100.00
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