train dynamics rev b
TRANSCRIPT
-
7/21/2019 Train Dynamics Rev B
1/22
The calculator provides the determination of speed, time and distance for various rolling stock. The ac
The calculations supported are acceleration, emergency braking, service braking or constant speed. T
The calculator supports the affect of gradient. The gradient value entered will be applied along the dis
The acceleration and braking data used for the calculations is embedded in sheets of the workbook th
The calculator is available to be used for operational modelling and signalling design but the following
The data in the calculator is based on or derived from information supplied by the ARO. The data is
The braking data is based on stopping (i.e. a final velocity of km0h) distance. This data has amorti
hen the calculator is used for a 0ine passenger train braking calculation (locity, !printer, " #l
hen the calculator is used for calculating a signalling overlap distance a safety margin needs to b
The acceleration data is based on best performance and for the %&'s the best accelerating train (
This Calculator requires that Macros are enabled!This Calculator requires that Macros are enabled!
-
7/21/2019 Train Dynamics Rev B
2/22
celeration and braking rates are based on information supplied by the Accredited Rail Operator (ARO).
he train types supported are locity, !printer, " #lass $assenger train, %&' train, &edium length freig
ance of the calculation. The ma2imum0minimum gradient value supported is 3.34 for passenger trains
at are hidden and protected. To view these sheets select the 7!how All !heets7 button on the calculator
limitation and application considerations apply5
considered to be the best available information. The user should treat the results from the calculator a
sed the affect of the train brake pipe delay time. hen the calculator is used for a braking calculation
ss) with an initial speed of - km0h or less, the results will be understated due to the affect of train bra
e added. The value of this margin is defined in R:O! *;..*. The value is entered as a 4 in the 7!
trapolis). hen using the calculator for operational modelling of %&' trains, the acceleration rate ove
-
7/21/2019 Train Dynamics Rev B
3/22
The data source appears at the bottom of the screen when a calculation is performed.
ht train (*+) and ong length freight train (-). The %&' acceleration is based on the best acc
or *5- for freight trains. 6or all passenger trains the gradient value is multipled by gravity and then ad
.
s a guide. The actual data to be applied in a design is to be confirmed0advised by the ARO.
ith a non 9ero final speed, the results will be understated (due to the affect of train brake delay). A ma
ke delay. A margin should be added to the braking results. 6or %&' and freight trains, the affect of trai
fety &argin7 field.
rstates the capability of 1itachi and #omeng trains and when these trains need to be considered then
-
7/21/2019 Train Dynamics Rev B
4/22
elerating train (/trapolis) and %&' braking is based on the poorest braking train (#omeng01itachi).
ded0subtracted to the train7s base acceleration rate to form the effective rate. 6or freight trains the gra
rgin should be added to any non 9ero final speed braking calculation.
brake delay is already included in the stopping distance, so no additional margin needs to be conside
de
-
7/21/2019 Train Dynamics Rev B
5/22
ient ad8ustment is supplied directly from the *+0- tables.
red.
-
7/21/2019 Train Dynamics Rev B
6/22
-
7/21/2019 Train Dynamics Rev B
7/22
-
7/21/2019 Train Dynamics Rev B
8/22
Train Type
evel
CalculationType
InitialSpeed(km/h)
FinalSpeed(km/h)
Time(seconds)
Distance(metres)
-
7/21/2019 Train Dynamics Rev B
9/22
averageacceleration
m/s/s
radient
Sa"etyMar#in
Sa"etyDistance
(m)
-
7/21/2019 Train Dynamics Rev B
10/22
$locity %cceleration Dynamics
.4 (@ve uphill, -
* .3 .>- .? .? .3 .3
; .+ .>- .* .; .3 .C
3 .> .>- .; .- .3 *.
- *.* .>- .3 .C .3 *.3
? *.- .>- .- *.* .3 *.C+ *.C .>- .? *.C .3 ;.
C *.= .>- .+ ;.; .3 ;.3
> ;.; .>- .C ;.= .3 ;.+
= ;.? .>- .> 3.C .3 3.
* ;.> .>- .= -.+ .3 3.3
** 3.* .C? *. ?.+ .3 3.+
*; 3.3 .C? *.; +.> .- -.
*3 3.+ .C? *.3 >.* .- -.-
*- 3.= .C? *.- =.? .- -.>
*? -.; .C? *.? **. .- ?.*
*+ -.- .C? *.+ *;.+ .- ?.?
*C -.C .C? *.C *-.3 .- ?.=
*> ?. .C? *.> *+.* .- +.3
*= ?.3 .C? *.= *>. .- +.+
; ?.+ .C? ;. ;. .- C.
;* ?.> .+= ;.; ;;.; .- C.-
;; +.* .+= ;.- ;-.+ .- C.>
;3 +.- .+= ;.? ;C.* .- >.;
;- +.C .+= ;.+ ;=.> .- >.+
;? +.= .+= ;.C 3;.? .- =.
;+ C.; .+= ;.> 3?.3 .- =.-
;C C.? .+= 3. 3>.3 .- =.>
;> C.> .+= 3.* -*.- .- *.;
;= >.* .+= 3.; --.+ .- *.+
3 >.3 .+= 3.3 -C.> .- **.
3* >.+ .+- 3.? ?*.- .- **.-
3; >.= .+- 3.> ??.* .- **.>
33 =.; .+- 3.= ?=. .- *;.3
3- =.- .+- -. +3.* .- *;.C3? =.C .+- -.* +C.; .- *3.*
3+ *. .+- -.3 C*.- .- *3.+
3C *.3 .+- -.- C?.> .- *-.
3> *.+ .+- -.? >.3 .- *-.-
3= *.> .+- -.+ >-.= .- *-.=
- **.* .+- -.C >=.C .- *?.3
-* **.- .?; ?.- =?. .? *?.>
-; **.C .?; +.; **.; .? *+.3
-3 **.= .?; +.3 *C.+ .? *+.=
-- *;.; .?; +.? **-. .? *C.-
-? *;.? .?; +.+ *;.C .? *C.=
-+ *;.> .?; +.> *;C.- .? *>.?
-C *3.* .?; +.= *3-.- .? *=.
-> *3.3 .?; C.* *-*.- .? *=.?
-= *3.+ .?; C.; *->.+ .? ;.*? *3.= .?; C.- *?+. .? ;.+
?* *-.; .-3 >.; *+-.; .+ ;*.;
?; *-.- .-3 =.; *C3.? .+ ;*.>
?3 *-.C .-3 =.- *>;.= .+ ;;.?
?- *?. .-3 =.+ *=;.? .+ ;3.*
?? *?.3 .-3 =.> ;;.3 .+ ;3.>
?+ *?.+ .-3 *. ;*;.; .+ ;-.-
?C *?.> .-3 *.* ;;;.- .+ ;?.*
?> *+.* .-3 *.3 ;3;.C .+ ;?.C
?= *+.- .-3 *.? ;-3.; .+ ;+.-
+ *+.C .-3 *.C ;?3.= .+ ;C.
+* *+.= .- **.3 ;+?.; .C ;C.C
+; *C.; .- *;. ;CC.; .C ;>.-
+3 *C.? .- *;.; ;>=.- .C ;=.*
+- *C.> .- *;.- 3*.> .C ;=.>+? *>.* .- *;.+ 3*-.- .C 3.?
++ *>.3 .- *;.> 3;C.; .C 3*.;
+C *>.+ .- *3. 3-.; .C 3*.=
+> *>.= .- *3.; 3?3.- .C 3;.+
+= *=.; .- *3.- 3++.C .C 33.3
C *=.- .- *3.+ 3>.3 .C 3-.
C* *=.C .;C *+.3 3=+.+ .> 3-.>
C; ;. .;C ;.; -*+.> *. 3?.=
C3 ;.3 .;C ;.? -3C.3 *. 3+.=
C- ;.+ .;C ;.> -?>.* *. 3C.=
C? ;.> .;C ;*.* -C=.; *. 3>.=
C+ ;*.* .;C ;*.3 ?.? *. 3=.=
CC ;*.- .;C ;*.+ ?;;.* *. -.=
-
7/21/2019 Train Dynamics Rev B
11/22
C> ;*.C .;C ;*.= ?--.* *. -;.
C= ;*.= .;C ;;.; ?++.3 *. -3.
> ;;.; .;C ;;.? ?>>.C *. --.
>* ;;.? .;+ ;3.; +*;. *. -?.
>; ;;.> .;+ ;-. +3+. *.* -+.*
>3 ;3.* .;+ ;-.3 ++.- *.* -C.;
>- ;3.3 .;+ ;-.+ +>?. *.* ->.;
>? ;3.+ .;+ ;-.= C=.= *.* -=.3
>+ ;3.= .;+ ;?.; C3?.* *.* ?.3
>C ;-.; .;+ ;?.? C+.C *.* ?*.-
>> ;-.- .;+ ;?.> C>+.? *.* ?;.?
>= ;-.C .;+ ;+.* >*;.+ *.* ?3.?= ;?. .;+ ;+.- >3=. *.* ?-.+
=* ;?.3 .;; ;>.= >+C.= *.* ??.C
=; ;?.+ .;; 3*.> >==.C *.3 ?C.
=3 ;?.> .;; 3;.* =3*.> *.3 ?>.;
=- ;+.* .;; 3;.? =+-.3 *.3 ?=.?
=? ;+.- .;; 3;.> ==C.* *.3 +.C
=+ ;+.C .;; 33.; *3.3 *.3 +;.
=C ;+.= .;; 33.? *+3.= *.3 +3.3
=> ;C.; .;; 33.= *=C.C *.3 +-.?
== ;C.? .;; 3-.; **3;. *.3 +?.>
* ;C.> .;; 3-.+ **++.? *.3 +C.
** ;>.* .;* 3?.= *;;.- *.3 +>.3
*; ;>.3 .;* 3C.3 *;3=.C *.3 +=.+
*3 ;>.+ .;* 3C.C *;CC.- *.3 C.=
*- ;>.= .;* 3>. *3*?.- *.3 C;.3*? ;=.; .;* 3>.- *3?3.> *.3 C3.+
*+ ;=.- .;* 3>.> *3=;.+ *.3 C-.=
*C ;=.C .;* 3=.* *-3*.> *.3 C+.;
*> 3. .;* 3=.? *-C*.3 *.3 CC.+
*= 3.3 .;* 3=.= *?**.* *.3 C>.=
** 3.+ .;* -.; *??*.- *.3 >.;
*** 3.> .;* -.; *?=*.+ *.3 >*.?
**; 3*.* .;* -.; *+3*.> *.3 >;.>
**3 3*.- .;* -.+ *+C;.- *.3 >-.*
**- 3*.C .;* -*. *C*3.- *.3 >?.-
**? 3*.= .;* -*.3 *C?-.C *.3 >+.C
**+ 3;.; .;* -*.C *C=+.- *.3 >>.
**C 3;.? .;* -;. *>3>.- *.3 >=.3
**> 3;.> .;* -;.- *>>.> *.3 =.+
**= 33.* .;* -;.> *=;3.+ *.3 =*.=
*; 33.3 .;* -3.* *=++.C *.3 =3.;
*;* 33.+ .*= -+.? ;*3.; *.- =-.+
*;; 33.= .*= ?.3 ;+3.- *.? =+.*
*;3 3-.; .*= ?.C ;**-.* *.? =C.+
*;- 3-.- .*= ?*.* ;*+?.3 *.? ==.*
*;? 3-.C .*= ?*.? ;;*+.> *.? *.?
*;+ 3?. .*= ?*.= ;;+>.C *.? *;.
*;C 3?.3 .*= ?;.- ;3;*.* *.? *3.?
*;> 3?.+ .*= ?;.> ;3C3.= *.? *?.
*;= 3?.> .*= ?3.; ;-;C. *.? *+.?
*3 3+.* .*= ?3.+ ;->.+ *.? *>.
*3* 3+.- .*+ ?C.> ;?3>.- *.+ *=.+
*3; 3+.C .*+ +;.? ;+.= *.C ***.3
*33 3+.= .*+ +3. ;++-. *.C **3.
*3- 3C.; .*+ +3.? ;C;C.- *.C **-.C
*3? 3C.? .*+ +-. ;C=*.- *.C **+.-
*3+ 3C.> .*+ +-.- ;>??.> *.C **>.*
*3C 3>.* .*+ +-.= ;=;.> *.C **=.=
*3> 3>.3 .*+ +?.- ;=>+.* *.C *;*.+
*3= 3>.+ .*+ +?.= 3?;. *.C *;3.3
*- 3>.= .*+ ++.3 3**>.3 *.C *;?.
*-* 3=.; .*; CC.* 3*=?.? ;. *;C.
*-; 3=.- .*; =*.> 3;>C.3 ;.3 *;=.3
*-3 3=.C .*; =;.? 33C=.C ;.3 *3*.+
*-- -. .*; =3.* 3-C;.= ;.3 *3-.
*-? -.3 .*; =3.> 3?++.+ ;.3 *3+.3
*-+ -.+ .*; =-.- 3++*. ;.3 *3>.C
*-C -.> .*; =?.* 3C?+.* ;.3 *-*.
*-> -*.* .*; =?.C 3>?*.> ;.3 *-3.3*-= -*.- .*; =+.- 3=->.; ;.3 *-?.C
*? -*.C .*; =C. --?.; ;.3 *->.
*?* -*.= .= *>.C -*?3.= ;.+ *?.+
*?; -;.; .= *;3.? -;CC.- ;.= *?3.?
*?3 -;.? .= *;-.3 --*.C ;.= *?+.?
*?- -;.> .= *;?.* -?;+.> ;.= *?=.-
*?? -3.* .= *;?.= -+?;.C ;.= *+;.3
*?+ -3.3 .= *;+.C -CC=.- ;.= *+?.3
*?C -3.+ .= *;C.? -=C. ;.= *+>.;
*?> -3.= .= *;>.- ?3?.3 ;.= *C*.*
*?= --.; .= *;=.; ?*+-.? ;.= *C-.*
*+ --.- .= *3. ?;=-.? ;.= *CC.
-
7/21/2019 Train Dynamics Rev B
12/22
Sprinter %cceleration Dynamics
.4 (@ve uphill, .=3 .; .- .3 .=
- *.* .=3 .3 .C .3 *.;
? *.- .=3 .- *. .3 *.?+ *.C .=3 .? *.? .3 *.>
C *.= .=3 .? ;. .3 ;.*
> ;.; .=3 .+ ;.C .3 ;.-
= ;.? .=3 .C 3.- .3 ;.C
* ;.> .=3 .> -.; .3 3.
** 3.* .+> *. ?.; .3 3.3
*; 3.3 .+> *.3 +.? .- 3.>
*3 3.+ .+> *.- C.= .- -.;
*- 3.= .+> *.? =.- .- -.+
*? -.; .+> *.+ **.* .- ?.
*+ -.- .+> *.> *;.> .- ?.-
*C -.C .+> *.= *-.C .- ?.>
*> ?. .+> ;. *+.C .- +.;
*= ?.3 .+> ;.* *>.> .- +.+
; ?.+ .+> ;.; ;*. .- C.;* ?.> .?? ;.+ ;3.+ .? C.?
;; +.* .?? 3. ;+.+ .? >.
;3 +.- .?? 3.; ;=.C .? >.?
;- +.C .?? 3.3 33. .? =.
;? +.= .?? 3.- 3+.? .? =.?
;+ C.; .?? 3.+ -.* .? *.
;C C.? .?? 3.C -3.> .? *.?
;> C.> .?? 3.= -C.+ .? **.
;= >.* .?? -. ?*.+ .? **.?
3 >.3 .?? -.* ??.> .? *;.
3* >.+ .-+ -.C +.- .+ *;.+
3; >.= .-+ ?.3 +?.C .+ *3.;
33 =.; .-+ ?.? C*.; .+ *3.>
3- =.- .-+ ?.+ C+.> .+ *-.-
3? =.C .-+ ?.> >;.+ .+ *?.
3+ *. .-+ +. >>.? .+ *?.+
3C *.3 .-+ +.* =-.C .+ *+.;
3> *.+ .-+ +.3 *.= .+ *+.>
3= *.> .-+ +.? *C.- .+ *C.-
- **.* .-+ +.+ **-. .+ *>.
-* **.- .3- C.> *;*.> .C *>.C
-; **.C .3- =.- *3*.3 .> *=.?
-3 **.= .3- =.+ *-.= .> ;.3
-- *;.; .3- =.= *?.> .> ;*.*
-? *;.? .3- *.* *+.= .> ;;.
-+ *;.> .3- *.3 *C*.; .> ;;.>
-C *3.* .3- *.+ *>*.> .> ;3.+
-> *3.3 .3- *.> *=;.? .> ;-.-
-= *3.+ .3- **. ;3.? .> ;?.;? *3.= .3- **.; ;*-.> .> ;+.*
?* *-.; .3? **.3 ;;+.* .> ;+.=
?; *-.- .3? **.? ;3C.+ .> ;C.C
?3 *-.C .3? **.C ;-=.; .> ;>.?
?- *?. .3? **.= ;+*.* .> ;=.3
?? *?.3 .3? *;.* ;C3.3 .> 3.*
?+ *?.+ .3? *;.3 ;>?.+ .> 3.=
?C *?.> .3? *;.+ ;=>.; .> 3*.C
?> *+.* .3? *;.> 3*.= .> 3;.?
?= *+.- .3? *3. 3;-. .> 33.3
+ *+.C .3? *3.; 33C.; .> 3-.*
+* *+.= .;> *?. 3?;.* .= 3?.
+; *C.; .;> *C.* 3+=.3 *. 3+.
+3 *C.? .;> *C.- 3>+.C *. 3C.
+- *C.> .;> *C.C --.- *. 3>.
+? *>.* .;> *>. -;;.3 *. 3=.
++ *>.3 .;> *>.; --.+ *. -.
+C *>.+ .;> *>.? -?=.* *. -*.
+> *>.= .;> *>.> -CC.= *. -;.
+= *=.; .;> *=.* -=C. *. -3.
C *=.- .;> *=.- ?*+.- *. --.
-
7/21/2019 Train Dynamics Rev B
13/22
C* *=.C .;3 ;*.? ?3C.= *.* -?.*
C; ;. .;3 ;-.; ?+;.* *.; -+.3
C3 ;.3 .;3 ;-.? ?>+.+ *.; -C.?
C- ;.+ .;3 ;-.= +**.? *.; ->.C
C? ;.> .;3 ;?.; +3+.C *.; ?.
C+ ;*.* .;3 ;?.+ ++;.3 *.; ?*.;
CC ;*.- .;3 ;?.= +>>.; *.; ?;.-
C> ;*.C .;3 ;+.; C*-.- *.; ?3.+
C= ;*.= .;3 ;+.+ C-*. *.; ?-.>
> ;;.; .;3 ;+.= C+C.= *.; ?+.
>* ;;.? .;* ;>.; C=+. *.3 ?C.3
>; ;;.> .;* ;=.? >;?.+ *.3 ?>.+>3 ;3.* .;* ;=.= >??.- *.3 ?=.=
>- ;3.3 .;* 3.; >>?.C *.3 +*.;
>? ;3.+ .;* 3.+ =*+.3 *.3 +;.?
>+ ;3.= .;* 3*. =-C.3 *.3 +3.>
>C ;-.; .;* 3*.3 =C>.+ *.3 +?.*
>> ;-.- .;* 3*.C **.3 *.3 ++.-
>= ;-.C .;* 3;.* *-;.- *.3 +C.C
= ;?. .;* 3;.- *C-.> *.3 +=.
=* ;?.3 .*- -. ***-.> *.+ C.+
=; ;?.+ .*- ?*.= **++.C ;. C;.C
=3 ;?.> .*- ?;.? *;*=.; ;. C-.C
=- ;+.* .*- ?3. *;C;.; ;. C+.>
=? ;+.- .*- ?3.+ *3;?.= ;. C>.>
=+ ;+.C .*- ?-.; *3>. ;. >.>
=C ;+.= .*- ?-.C *-3-.> ;. >;.==> ;C.; .*- ??.3 *-=.* ;. >-.=
== ;C.? .*- ??.= *?-+. ;. >C.
* ;C.> .*- ?+.? *+;.- ;. >=.
** ;>.* .*3 ?C.= *++.3 ;.* =*.*
*; ;>.3 .*3 ?=.3 *C*=.+ ;.* =3.;
*3 ;>.+ .*3 ?=.= *CC=.+ ;.* =?.3
*- ;>.= .*3 +.? *>-.* ;.* =C.-
*? ;=.; .*3 +*.* *=*.; ;.* ==.?
*+ ;=.- .*3 +*.C *=+;.> ;.* **.+
*C ;=.C .*3 +;.3 ;;?.* ;.* *3.C
*> 3. .*3 +;.> ;>C.= ;.* *?.>
*= 3.3 .*3 +3.- ;*?*.3 ;.* *C.=
** 3.+ .*3 +-. ;;*?.3 ;.* **.
*** 3.> .= C?.? ;;=.> ;.? **;.?
**; 3*.* .= =*.? ;3>;.3 3. **?.-
**3 3*.- .= =;.3 ;-C-.C 3. **>.-
**- 3*.C .= =3.; ;?+C.> 3. *;*.-
**? 3*.= .= =-. ;++*.> 3. *;-.3
**+ 3;.; .= =-.> ;C?+.+ 3. *;C.3
**C 3;.? .= =?.+ ;>?;.3 3. *3.;
**> 3;.> .= =+.? ;=->.C 3. *33.;
**= 33.* .= =C.3 3-+. 3. *3+.*
*; 33.3 .= =>.* 3*--.* 3. *3=.*
*;* 33.+ .C ***.> 3;??.= 3.3 *-;.-
*;; 33.= .C *;=.C 33>?.+ 3.> *-+.3
*;3 3-.; .C *3.C 3?*+.3 3.> *?.*
*;- 3-.- .C *3*.> 3+->.* 3.> *?3.=
*;? 3-.C .C *3;.= 3C>*. 3.> *?C.>
*;+ 3?. .C *33.= 3=*-.= 3.> *+*.+*;C 3?.3 .C *3?. --=.= 3.> *+?.?
*;> 3?.+ .C *3+.* -*>+. 3.> *+=.3
*;= 3?.> .C *3C.* -3;3.* 3.> *C3.;
*3 3+.* .C *3>.; --+*.3 3.> *CC.
-
7/21/2019 Train Dynamics Rev B
14/22
& Class 'rakin# Dynamics
radient .4 (@ve uphill, .3 .?+ +; *? .+ ?> *-
3? =.C .?+ >- *C .+ C= *+
- **.* .?+ ** ; .+ *3 *=
-? *;.? .?+ *- ;; .+ *3 ;*
? *3.= .?+ *C; ;? .+ *+* ;3
?+ *?.+ .?+ ;*+ ;> .+ ;; ;+
+ *+.C .?+ ;-> 3 .+ ;3* ;>
+? *>.* .?+ ;=* 3; .+ ;C; 3
C *=.- .?+ 33> 3? .+ 3*? 3;
C? ;.> .?+ 3>> 3C .+ 3+; 3?
> ;;.; .?+ --* - .+ -*; 3C
>? ;3.+ .?+ -=> -; .+ -+? 3=
= ;?. .?+ ??> -? .+ ?;* -;
=? ;+.- .?+ +;; -C .+ ?> --* ;C.> .?+ +>= ? .+ +-3 -+
*? ;=.; .?+ C+ ?; .+ C= -=
** 3.+ .?+ >3- ?? .+ CC> ?*
**? 3*.= .?+ =** ?C .+ >? ?3
E enter gradient value FE in below cell F
" #lass $ass!erv Grake
" #lass $ass%merg Grake
-
7/21/2019 Train Dynamics Rev B
15/22
-
7/21/2019 Train Dynamics Rev B
16/22
Medium en#th Intermodal Frei#ht Train (*+) Dynamics
radient evel Speed/Dist based on S,% o" &S Frei#ht,ail 'rake -n#ineer *+/+/.
based on dist
Bistance Time
sut@(atD;)0; !peed !peed (accumulated) (accumulated)
vD;uD;@;as km0h m0s m0s0s m s
vu@at . . .
s(u@v)t0; * .3 .+ * ;.
t(v.
a;(vt ;- *;.
> ;.; .= ;> *3.
= ;.? .* 3; *-.
* ;.> .* 3C *?.
** 3.* .** -; *?.?
*; 3.3 .*; -> *+.
*3 3.+ .*; ?- *+.?
*- 3.= .*3 + *C.
*? -.; .*3 ++ *C.?
*+ -.- .*- C; *>.
*C -.C .*- CC *>.?
*> ?. .*? >; *=.
*= ?.3 .*+ >> *=.?
; ?.+ .*+ =- ;.
;* ?.> .*C * ;.?
;; +.* .*> *+ ;*.
;3 +.- .*> **3 ;*.?
;- +.C .*> *;* ;;.
;? +.= .*= *;= ;;.?
;+ C.; .*= *3= ;3.
;C C.? .*= *? ;3.?
;> C.> .*= *+; ;-.
;= >.* .*= *C- ;-.?
3 >.3 .*= *>? ;?.
3* >.+ .*= *=? ;?.?
3; >.= .*= ;- ;+.33 =.; .; ;*3 ;+.?
3- =.- .; ;;; ;C.
3? =.C .; ;3* ;C.?
3+ *. .;* ;-* ;>.
3C *.3 .;* ;? ;>.?
3> *.+ .;* ;+ ;=.
3= *.> .;; ;C* ;=.?
- **.* .;; ;>* 3.
-* **.- .;; ;=; 3.?
-; **.C .;; 3; 3*.
-3 **.= .;3 3*- 3*.?
-- *;.; .;3 3;? 3;.
-? *;.? .;3 33+ 3;.?
-+ *;.> .;- 3-C 33.
-C *3.* .;- 3?= 33.?-> *3.3 .;- 3C 3-.
-= *3.+ .;- 3>; 3-.?
? *3.= .;- 3=- 3?.
?* *-.; .;? -+ 3?.?
?; *-.- .;? -*= 3+.
?3 *-.C .;? -3* 3+.?
?- *?. .;? --- 3C.
?? *?.3 .;+ -?C 3C.?
?+ *?.+ .;+ -C 3>.
?C *?.> .;+ ->3 3>.?
?> *+.* .;+ -=+ 3=.
?= *+.- .;+ ?= 3=.?
+ *+.C .;C ?;3 -.
+* *+.= .;C ?3C -.?
+; *C.; .;C ??* -*.
+3 *C.? .;C ?++ -*.?
+- *C.> .;C ?> -;.
+? *>.* .;C ?=? -;.?
++ *>.3 .;> +* -3.
+C *>.+ .;> +;- -3.?
+> *>.= .;> +3= --.
+= *=.; .;> +?? --.?
C *=.- .;> +C -?.
C* *=.C .;> +>+ -?.?
C; ;. .;> C; -+.
C3 ;.3 .;= C*> -+.?
C- ;.+ .;= C3- -C.
C? ;.> .;= C?* -C.?
C+ ;*.* .;= C+> ->.
CC ;*.- .;= C>- ->.?
C> ;*.C .;= >* -=.
C= ;*.= .;= >*= -=.?
> ;;.; .3 >3+ ?.
>* ;;.? .3 >?- ?.?
>; ;;.> .3 >C* ?*.
>3 ;3.* .3 >>= ?*.?
>- ;3.3 .3 => ?;.
>? ;3.+ .3 =;+ ?;.?
>+ ;3.= .3 =-? ?3.
>C ;-.; .3 =+3 ?3.?
>> ;-.- .3 =>; ?-.
>= ;-.C .3* *; ?-.?
= ;?. .3* *;* ??.
=* ;?.3 .3* *-* ??.?=; ;?.+ .3* *+* ?+.
=3 ;?.> .3* *>* ?+.?
=- ;+.* .3* *** ?C.
=? ;+.- .3* **;; ?C.?
=+ ;+.C .3* **-3 ?>.
=C ;+.= .3* **+- ?>.?
=> ;C.; .3* **>? ?=.
== ;C.? .3* *;C ?=.?
* ;C.> .3* *;;= +.
** ;>.* .3* *;?* +.-
*; ;>.3 .3; *;C3 +.>
*3 ;>.+ .3; *;=+ +*.;
*- ;>.= .3; *3*= +*.+
*? ;=.; .3; *3-; +;.
*+ ;=.- .3; *3+? +;.-*C ;=.C .3; *3>= +;.>
*> 3. .3; *-*3 +3.;
*= 3.3 .3; *-3> +3.+
** 3.+ .3; *-+; +-.
*** 3.> .3; *->C +-.-
**; 3*.* .3; *?** +-.>
**3 3*.- .3; *?3+ +?.;
%ffectiveGraking rate
-
7/21/2019 Train Dynamics Rev B
17/22
**- 3*.C .3; *?+; +?.+
**? 3*.= .3; *?>C ++.
-
7/21/2019 Train Dynamics Rev B
18/22
Medium en#th Intermodal Frei#ht Train (*+) Dynamics
radient evel Speed/Dist based on S,% o" &S Frei#ht,ail 'rake -n#ineer *+/+/.-mer#ency 'rake parameters deri0ed "rom S' less *1
based on dist
Bistance Time
sut@(atD;)0; !peed !peed (accumulated) (accumulated)
vD;uD;@;as km0h m0s m0s0s m s
vu@at . . .
s(u@v)t0; * .3 .C * *.>
t(v ;.; .* ;- **.>
= ;.? .** ;= *;.C
* ;.> .** 3- *3.+
** 3.* .*; 3> *-.*
*; 3.3 .*3 -3 *-.?
*3 3.+ .*- -> *?.
*- 3.= .*- ?- *?.?
*? -.; .*- + *?.=*+ -.- .*? +? *+.-
*C -.C .*+ += *+.>
*> ?. .*C C- *C.3
*= ?.3 .*C > *C.C
; ?.+ .*> >? *>.;
;* ?.> .*= =* *>.+
;; +.* .*= =C *=.*
;3 +.- .; *- *=.?
;- +.C .; ** ;.
;? +.= .;* **C ;.?
;+ C.; .;* *;C ;.=
;C C.? .;* *3C ;*.-
;> C.> .;* *-C ;*.>
;= >.* .;* *?C ;;.3
3 >.3 .;* *+> ;;.C3* >.+ .;* *C+ ;3.;
3; >.= .;* *>- ;3.+
33 =.; .;; *=3 ;-.*
3- =.- .;; ;* ;-.?
3? =.C .;3 ;* ;?.
3+ *. .;3 ;*= ;?.?
3C *.3 .;3 ;;C ;?.=
3> *.+ .;- ;3C ;+.-
3= *.> .;- ;-+ ;+.>
- **.* .;- ;?? ;C.3
-* **.- .;- ;+? ;C.C
-; **.C .;? ;C? ;>.;
-3 **.= .;? ;>? ;>.+
-- *;.; .;? ;=? ;=.*
-? *;.? .;+ 3? ;=.?
-+ *;.> .;+ 3*+ 3.
-C *3.* .;+ 3;+ 3.?
-> *3.3 .;+ 33+ 3.=
-= *3.+ .;C 3-C 3*.-
? *3.= .;C 3?> 3*.>
?* *-.; .;C 3+= 3;.3
?; *-.- .;C 3> 3;.C
?3 *-.C .;> 3=; 33.;
?- *?. .;> -- 33.+
?? *?.3 .;> -*? 3-.*
?+ *?.+ .;> -;C 3-.?
?C *?.> .;= -3= 3?.
?> *+.* .;= -?* 3?.?
?= *+.- .;= -+3 3?.=
+ *+.C .;= -C? 3+.-
+* *+.= .;= ->> 3+.>
+; *C.; .3 ?* 3C.3
+3 *C.? .3 ?*- 3C.C
+- *C.> .3 ?;C 3>.;
+? *>.* .3 ?-* 3>.+
++ *>.3 .3 ??- 3=.*
+C *>.+ .3* ?+> 3=.?
+> *>.= .3* ?>* -.
+= *=.; .3* ?=? -.?
C *=.- .3* += -.=
C* *=.C .3* +;3 -*.-
C; ;. .3* +3> -*.>
C3 ;.3 .3; +?3 -;.3
C- ;.+ .3; ++> -;.CC? ;.> .3; +>3 -3.;
C+ ;*.* .3; +=> -3.+
CC ;*.- .3; C*3 --.*
C> ;*.C .3; C;> --.?
C= ;*.= .3; C-- -?.
> ;;.; .3; C+ -?.?
>* ;;.? .33 CC+ -?.=
>; ;;.> .33 C=; -+.-
>3 ;3.* .33 >> -+.>
>- ;3.3 .33 >;? -C.3
>? ;3.+ .33 >-; -C.C
>+ ;3.= .33 >?= ->.;
>C ;-.; .33 >C+ ->.+
>> ;-.- .33 >=3 -=.*
>= ;-.C .3- =** -=.?= ;?. .3- =;> ?.
=* ;?.3 .3- =-+ ?.?
=; ;?.+ .3- =+- ?.=
=3 ;?.> .3- =>3 ?*.-
=- ;+.* .3- ** ?*.>
=? ;+.- .3- *; ?;.3
=+ ;+.C .3- *3= ?;.C
=C ;+.= .3- *?> ?3.;
=> ;C.; .3- *C> ?3.+
== ;C.? .3- *=C ?-.*
* ;C.> .3? ***C ?-.?
** ;>.* .3? **3C ?-.=
*; ;>.3 .3? **?> ??.3
*3 ;>.+ .3? **C> ??.+
*- ;>.= .3? **== ?+.*? ;=.; .3? *;; ?+.-
*+ ;=.- .3? *;-* ?+.C
*C ;=.C .3? *;+3 ?C.*
*> 3. .3? *;>? ?C.?
*= 3.3 .3? *3C ?C.>
** 3.+ .3? *3;= ?>.;
*** 3.> .3? *3?* ?>.?
**; 3*.* .3? *3C- ?>.=
%ffectiveGraking rate
-
7/21/2019 Train Dynamics Rev B
19/22
**3 3*.- .3? *3=C ?=.3
**- 3*.C .3? *-; ?=.+
**? 3*.= .3? *--3 +.
-
7/21/2019 Train Dynamics Rev B
20/22
on# en#th Intermodal Frei#ht Train (21) Dynamics
radient evel Speed/Dist based on S,% o" &S Frei#ht,ail 'rake -n#ineer */*3/.-mer#ency 'rake parameters deri0ed "rom S' less *1
based on dist
Bistance Time
sut@(atD;)0; !peed !peed (accumulated) (accumulated)
vD;uD;@;as km0h m0s m0s0s m s
vu@at . . .
s(u@v)t0; * .3 .? * ;.Ct(v >.;
- *.* .? *3 *.=
a;(vt
> ;.; .C 3- *+.=
= ;.? .> - *>.
* ;.> .> -+ *=.*
** 3.* .= ?; ;.;
*; 3.3 .* ?C ;*.3
*3 3.+ .* +3 ;;.-
*- 3.= .** C ;3.?
*? -.; .** CC ;-.?
*+ -.- .** >> ;?.?
*C -.C .** * ;+.-
*> ?. .** **3 ;C.3
*= ?.3 .** *;+ ;>.;
; ?.+ .** *- ;=.*
;* ?.> .** *-= ;=.>
;; +.* .*; *?= 3.?
;3 +.- .*; *+= 3*.3
;- +.C .*; *C= 3;.
;? +.= .*3 *= 3;.C
;+ C.; .*3 ; 33.3
;C C.? .*3 ;** 33.>
;> C.> .*- ;;3 3-.-
;= >.* .*- ;3- 3-.=
3 >.3 .*- ;-+ 3?.?3* >.+ .*- ;?> 3+.
3; >.= .*? ;C 3+.?
33 =.; .*? ;>3 3C.*
3- =.- .*? ;=+ 3C.+
3? =.C .*? 3= 3>.;
3+ *. .*+ 3;3 3>.C
3C *.3 .*+ 33+ 3=.3
3> *.+ .*+ 3?* 3=.>
3= *.> .*+ 3+? -.-
- **.* .*+ 3> -.=
-* **.- .*+ 3=- -*.?
-; **.C .*C -> -;.
-3 **.= .*C -;3 -;.?
-- *;.; .*C -3C -3.*
-? *;.? .*C -?3 -3.+-+ *;.> .*C -+> --.;
-C *3.* .*> ->- --.C
-> *3.3 .*> ? -?.3
-= *3.+ .*> ?*+ -?.>
? *3.= .*> ?33 -+.-
?* *-.; .*> ?-= -+.=
?; *-.- .*> ?+? -C.?
?3 *-.C .*= ?>; ->.
?- *?. .*= ?== ->.?
?? *?.3 .*= +*+ -=.*
?+ *?.+ .*= +3- -=.+
?C *?.> .*= +?; ?.;
?> *+.* .*= +C ?.C
?= *+.- .; +>> ?*.3
+ *+.C .; CC ?*.>+* *+.= .; C;? ?;.-
+; *C.; .; C-3 ?;.=
+3 *C.? .; C+* ?3.?
+- *C.> .; C> ?-.
+? *>.* .; C== ?-.?
++ *>.3 .;* >*> ??.*
+C *>.+ .;* >3C ??.+
+> *>.= .;* >?C ?+.;
+= *=.; .;* >CC ?+.C
C *=.- .;* >=C ?C.3
C* *=.C .;* =*C ?C.C
C; ;. .;* =3C ?>.;
C3 ;.3 .;* =?> ?>.+
C- ;.+ .;; =C> ?=.*
C? ;.> .;; === ?=.?
C+ ;*.* .;; *; +.
CC ;*.- .;; *-* +.?
C> ;*.C .;; *+3 +.=
C= ;*.= .;; *>- +*.-
> ;;.; .;; **+ +*.>
>* ;;.? .;; **;> +;.3
>; ;;.> .;3 **? +;.C
>3 ;3.* .;3 **C3 +3.;
>- ;3.3 .;3 **=? +3.+
>? ;3.+ .;3 *;*> +-.*
>+ ;3.= .;3 *;-* +-.?
>C ;-.; .;3 *;+- +?.
>> ;-.- .;3 *;>> +?.?
>= ;-.C .;3 *3** +?.=
= ;?. .;3 *33? ++.-
=* ;?.3 .;- *3?= ++.>
=; ;?.+ .;- *3>3 +C.3
=3 ;?.> .;- *-C +C.C
=- ;+.* .;- *-3; +>.;
=? ;+.- .;- *-?+ +>.+
=+ ;+.C .;- *->* +=.*
=C ;+.= .;- *?+ +=.?
=> ;C.; .;- *?3* C.
== ;C.? .;- *??C C.?
* ;C.> .;- *?>3 C.=
** ;>.* .;- *+= C*.-
*; ;>.3 .;? *+3? C*.>
*3 ;>.+ .;? *++; C;.3
*- ;>.= .;? *+>= C;.C*? ;=.; .;? *C*+ C3.;
*+ ;=.- .;? *C-3 C3.+
*C ;=.C .;? *CC C-.*
*> 3. .;? *C=C C-.?
*= 3.3 .;? *>;- C?.
** 3.+ .;? *>?; C?.?
*** 3.> .;? *>> C?.=
**; 3*.* .;? *=> C+.-
**3 3*.- .;? *=3+ C+.>
%ffectiveGraking rate
-
7/21/2019 Train Dynamics Rev B
21/22
**- 3*.C .;+ *=+? CC.3
**? 3*.= .;+ *==- C>.
-
7/21/2019 Train Dynamics Rev B
22/22
on# en#th Intermodal Frei#ht Train (21) Dynamics
radient evel Speed/Dist based on S,% o" &S Frei#ht,ail 'rake -n#ineer */*3/.
based on dist
Bistance Time
sut@(atD;)0; !peed !peed (accumulated) (accumulated)
vD;uD;@;as km0h m0s m0s0s m s
vu@at . . .
s(u@v)t0; * .3 .- * 3.
t(v =.
- *.* .- *? *;.
a;(vt *+.;
C *.= .+ 3- *C.-
> ;.; .+ 3= *>.+
= ;.? .C -? *=.>
* ;.> .> ?* ;*.
** 3.* .> ?C ;;.;
*; 3.3 .= +; ;3.-
*3 3.+ .* += ;-.+
*- 3.= .* C+ ;?.>
*? -.; .* >? ;C.
*+ -.- .* =C ;>.
*C -.C .* *** ;=.
*> ?. .* *;+ 3.
*= ?.3 .* *-* 3*.
; ?.+ .* *?- 3;.
;* ?.> .* *++ 3;.>
;; +.* .** *CC 33.+
;3 +.- .** *>C 3-.-
;- +.C .** *=> 3?.;
;? +.= .*; ;= 3+.
;+ C.; .*; ;;* 3+.+
;C C.? .*; ;33 3C.;
;> C.> .*; ;-? 3C.>
;= >.* .*3 ;?> 3>.-
3 >.3 .*3 ;C* 3=.
3* >.+ .*3 ;>- 3=.+
3; >.= .*3 ;=> -.;33 =.; .*3 3** -.>
3- =.- .*- 3;+ -*.-
3? =.C .*- 3- -;.
3+ *. .*- 3?? -;.+
3C *.3 .*- 3C -3.;
3> *.+ .*- 3>+ -3.>
3= *.> .*? -; --.-
- **.* .*? -*> -?.
-* **.- .*? -3- -?.+
-; **.C .*? --= -+.;
-3 **.= .*? -+? -+.>
-- *;.; .*+ ->* -C.-
-? *;.? .*+ -=> ->.
-+ *;.> .*+ ?*? ->.+
-C *3.* .*+ ?3; -=.;-> *3.3 .*+ ?? -=.>
-= *3.+ .*+ ?+> ?.-
? *3.= .*+ ?>+ ?*.
?* *-.; .*C +- ?*.+
?; *-.- .*C +;; ?;.;
?3 *-.C .*C +- ?;.>
?- *?. .*C +?= ?3.-
?? *?.3 .*C +C> ?-.
?+ *?.+ .*C +=C ?-.+
?C *?.> .*C C*C ??.;
?> *+.* .*> C3> ??.>
?= *+.- .*> C?> ?+.-
+ *+.C .*> CC> ?C.
+* *+.= .*> C=> ?C.+
+; *C.; .*> >*> ?>.;
+3 *C.? .*> >3> ?>.>
+- *C.> .*> >?> ?=.-
+? *>.* .*= >C= +.
++ *>.3 .*= = +.+
+C *>.+ .*= =;; +*.;
+> *>.= .*= =-3 +*.>
+= *=.; .*= =+? +;.-
C *=.- .*= =>C +3.
C* *=.C .*= *= +3.?
C; ;. .*= *3* +-.
C3 ;.3 .; *?- +-.?
C- ;.+ .; *C+ +?.
C? ;.> .; *== +?.?
C+ ;*.* .; **;; ++.CC ;*.- .; **-+ ++.?
C> ;*.C .; **+= +C.
C= ;*.= .; **=3 +C.?
> ;;.; .; *;*C +>.
>* ;;.? .; *;-* +>.?
>; ;;.> .; *;++ +=.
>3 ;3.* .;* *;= +=.?
>- ;3.3 .;* *3*? C.
>? ;3.+ .;* *3- C.?
>+ ;3.= .;* *3+? C*.
>C ;-.; .;* *3=* C*.?
>> ;-.- .;* *-*C C;.
>= ;-.C .;* *--3 C;.?
= ;?. .;* *-+= C3.
=* ;?.3 .;* *-=? C3.?=; ;?.+ .;* *?;; C-.
=3 ;?.> .;; *?-> C-.?
=- ;+.* .;; *?C? C?.
=? ;+.- .;; *+; C?.?
=+ ;+.C .;; *+;= C+.
=C ;+.= .;; *+?C C+.?
=> ;C.; .;; *+>? CC.
== ;C.? .;; *C*3 CC.?
* ;C.> .;; *C-* C>.
** ;>.* .;; *CC C>.?
*; ;>.3 .;; *C== C=.
*3 ;>.+ .;; *>;= C=.?
*- ;>.= .;; *>?> >.
*? ;=.; .;3 *>>> >.?
*+ ;=.- .;3 *=*> >*.*C ;=.C .;3 *=-C >*.?
*> 3. .;3 *=CC >;.
*= 3.3 .;3 ;C >;.?
** 3.+ .;3 ;3C >3.
*** 3.> .;3 ;+> >3.?
**; 3* * ;3 ;== >-
%ffectiveGraking rate