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Using the spreadsheet to develop the programma*le urves onstants.

This spreadsheet is est #ie"ed at 102x768 or hiher resolutio&.

$e#isio& otes'

$e#. 2/6/98;

!orrected error i& S2 cur#e co&sta&t , "hich "as set to 0.0280 rather tha& the correct 0.0208.

$e#. 2/18/98;

!orrected dra"i& &umer refere&ce for * cur#e.$e#. !

dded raph pae to T!! cur#es. dded some ailit% for users to plot prorammale cur#es.

$e#. D0 09/03;

$e# ( 05/09;

dded !ur#es @, 6, 1, 1,!1, D1, (3, @1, P, T a&d updated dra"i& &umers.

$e# @ 05/09;

$emo#ed refere&ce to Pulicatio& 9)2520)00)999 "hich is osolete

asler (lectric !ompa&%, 12570 State $oute 13, >ihla&d, -lli&ois 6229)107 S

-t is fairl% straihtfor"ard, ut simpl% clic o& the appropriate utto& o& the =T!! !ur#es a&d !alcs= sheet, a&d a plot of the cur#e sho"s up. Aou e&tire sheet, or % clici& o& the raph, pri&t a& e&lared raph the fills the pae. lso, the T!! !ur#es a&d !alcs sheet pro#ides a mea&s of adtime dial that o&e "ill e usi& to the plot. Please i&spect the sheet for this a&d other features.

The sheet =Prorammale !ur#e !alcs= pro#ides a mea&s to de#elop a prorammale cur#e from a set of poi&ts from %our existi& taret T!! cu"ish to emulate. See that sheet for i&structio&s.

4e&eral update. dded -(! cur#es , , !, a&d 4. dded method to determi&e prorammale cur#e co&sta&ts #ia the (xcel Sol#er $outi&e. $em

Pho&e' 618/65)231 ) @ax' 618/65)2351 ) Besite' """.asler.com

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3 12/09/2015

"urve +lotting and Time #ial "alulations

Short -&#erse

o& -&#erse

Defi&ite Time

*oderatel% -&#erse

-&#erse

Cer% -&#erse

(xtremel% -&#erse

Prorammale

#isplayed "urve Name: , or ,1 pproximatel% (ui#ale&t to' !+ )9

!ur#e ame C, Cer% -&#erse

Dra"i& o. 99)137

TED;/*F)!;GEDGH

!ur#e !o&sta&ts

! H

5.6780 0.1081 1.000 2.0690 0.0280

"urve , or ,1: Time delay T at your time dial # and multiples o piup /:

1.0 2.000 1.882

"urve , or ,1: 0inding Time #ial # losest to your test data or old E-/ relay response:

1.000 3.000 1.29

.0

"li the appropriate *uttonto plot a graph o the timeurrent harateristi.

4ood #ie"i&' -t is i&te&ded that themost importa&t data o& this sheet "illfit o&to a scree& "ith a mo&itor set at102x768 resolutio&, "ith (xcel:s<oom set at 75I. -t ma% e helpful foro&e to experime&t "ith <oom setti&sfor est #ie"i& o& the mo&itor ei&used.

Select a cur#e usi& utto&s ao#e, the& e&ter a time dial D; a&d multipleof picup *;. The trip time T; "ill e calculated.

Time DialD;

*ult of P*;

Trip TimeT;

To fi&d a setti& &earest %our old ()* rela%, a; select &earest cur#e t%pefrom utto&s ao#e, the& ; e&ter a set of T a&d * poi&ts from %our oldrela%. # is shon to 2 deimal points3 *ut the relays aeptinrements o 4.1 only3 in the range o 4.4 to ..

Trip TimeT;

*ult of P*;

Time DialD;

ant to add your seleted time dial to the T"" urve (&ter the time dial D; that%ou "ish to add to the T!! cur#e. $ela% accepts time dials i& 0.0 to 9.9 i& 0.1i&creme&ts.

Time DialD;

The cell to the riht checs that all time dials ao#e are i& thera&e of 0.0 to 9.9.

ll time dials ao#e are i& the rela%:sacceptale ra&e

1.00

0.010

0.100

1.000

10.000

100.000

1000.000

"urve Type

T i m e 3

! e

S, S1!+)2;

S2-!)55;

, 1!0)5;

2-!)66;

D!+)6;

*!+)7;

-, -1!+)8;

C, C1!+9;

C2-!)53;

(, (1!+)11;

(2-!)77;

-2-!)51;

P

!-(! (-;

-(! C-;

4-(!;

-(!

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12/09/2015

(lectromecha&ical $ela% Time Dial Setti&

pproximatel% !ur#e D". 0.5 1.0 2.0 3.0 .0 5.0 6.0 7.0 8.0 9.

!ur#e ame (ui#ale&t to umer asler (lectric pproximatel% (ui#ale&t Time Dial Setti&

S, S1, Short -&#erse !+)2 99)1369 0.3 0.8 1.7 2. 3. .2 5.0 5.8 6.7 7.

, 1, o& -&#erse !+)5 99)1370 0. 0.8 1.5 2.3 3.3 .2 5.0 6.0 7.0 7.

D, Defi&ite Time !+)6 99)1371 0.5 1.1 2.0 2.9 3.7 .5 5.0 5.9 7.2 8.

*, *oderatel% -&#erse !+)7 99)1372 0. 0.8 1.7 2.5 3.3 .3 5.3 6.1 7.0 8.

-, -1, -&#erse Time !+)8 99)1373 0.3 0.7 1.5 2.3 3.2 .0 5.0 5.8 6.8 7.

C, C1, Cer% -&#erse !+)9 99)137 0.3 0.7 1. 2.1 3.0 3.9 .8 5.7 6.7 7.

(, (1, (xtremel% -&#erse !+)11 99)1375 0.3 0.7 1.5 2. 3.2 .2 5.0 5.7 6.6 7.

-2, -&#erse Time 4( -!)51 99)1597 0.6 1.0 1.9 2.7 3.7 .8 5.7 6.8 8.0 9.

C2, Cer% -&#erse 4( -!)53 99)1596 0. 0.8 1.6 2. 3. .3 5.1 6.3 7.2 8.

S2, Short -&#erse 4( -!)55 99)1595 0.2 1.0 2.0 3.1 .0 .9 6.1 7.2 8.1 8.

2, o& -&#erse 4( -!)66 99)159 0. 0.9 1.8 2.7 3.9 .9 6.3 7.2 8.5 9.

(2, (xtremel% -&#erse 4( -!)77 99)1598 0.5 1.0 1.9 2.7 3.5 .3 5.2 6.2 7. 8.

Time #ial !etting "ross %eerene $e#.

This list is to assist a perso& that is tr%i& to emulate a& old electromecha&ical rela% time "ith a asler rela%. The tale i#es the time dial of a asleclosel% matches the i&dicated time dial of the i&dicated rela%. @or i&sta&ce, if o&e had a 4( -! 51 rela% set at time dial 3, the appropriate cur#e i& t"ould e the -2 cur#e set at a time dial of 2.7. -f o&e is usi& some time dial that is et"ee& t"o time dials i#e& i& the tale, o&e must i&terpolate aappropriate #alue et"ee& the t"o time dials.The #alid ra&e for asler &umerical rela% time dials is 0 to 9.9 i& steps of 0.1. The tale i&dicates some time dials outside this ra&e, i&dicati& thareproduce the cur#e, ut ma% e useful for i&terpolatio& purposes.

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5 12/09/2015

+rogramma*le "urve "onstants "alulations

Poi&t 1 o" *+P; 1.300 10.6580 1.0

Poi&t 2 2.000 2.300

Poi&t 3 .000 0.5060

Poi&t 10.000 0.1190

Poi&t 5 >ih *+P; 20.000 0.0700

(uatio& for time dela%' T ED / *F;)!; G ED G H

!o&sta&t' 8 B " N 9*i& 0 0 1.00 0.50 0.028

*ax 600 25 1.00 2.50 0.028

7.762688 0.027509 1.000000 2.093918 0.028000

!ompariso&' *+P

1.300 10.6580 10.6580 0.0000 0.0001

2.000 2.300 2.301 )0.0001 )0.0001

.000 0.5060 0.5062 )0.0002 )0.000

10.000 0.1190 0.1185 0.0005 0.001

20.000 0.0700 0.0702 )0.0002 )0.0008

$*S (rror' 0.0002 0.0008

This !heet alulates onstants or the programma*le urves given a user supplied set o timeurrent pairs and atime dial setting.

otes'1) To alulate the +rogramma*le "urve onstants3 this sheet maes use o the E;el <!olver< 8dd-=n. !olver is supplied ith may not *e installed in a partial installation o E;el3 and even i installed3 it needs to *e ena*led. >ou ena*le the !olver 8dd-=nliing on the appropriate *o; in the E;el /enu: T??(! 8##-=N!.1*) Even i one annot load and run the !olver 8dd-=n3 or i one has speii onstants that need to *e evaluated3 one may enteonstants diretly into the <!olution< ields *elo and plot the urves in the T"" "urves and "als !heet.2; Bhe& the Sol#er routi&e is ru&, the proram mi&imi<es cell 42, "hich is the $*S of =time error x srt*+P;=. The srt*+P; factor impro#ed error at hih *+P for hiher accurac% at the fast e&d of the T+! cur#e.3; Thouh a& i&spectio& of the time dela% euatio& ma% at first mae it appear there are 5 user)adJustale co&sta&ts i& the time euatio, a&d H;, there are actuall% o&l% 3 co&sta&ts that ca& e #aried' , , a&d . The #alue of ! is fixed at 1 so that cur#es "ill i#e a time rises to i&fi&it% at 1 multiple of picup, a&d H is fixed at 0.028 i& all asler rela%s.

Step 1; a' (&ter 5 data poi&ts from the time)curre&tcur#e of i&terest i& the fields to the riht.' (&ter i& the Time Dial D; of the asler rela% that%ou "a&t to match to these poi&ts.

*ultiple ofPicup *;'

Time Dela%

T;Time Dial D; of a

e used i& calc

Step 2; a' $u& the (xcel =Sol#er= routi&e % clici& o& the (xcel *e&u' T++S / S+C($.' ccept the Sol#er setti&s that %ou "ill see a&d clic o& =S+C(.=c' Bhe& Sol#er is do&e, a dialo ox "ill pop up. Select the optio&, =Heep Sol#er Solutio&s.=d' 4o to the =T!! !ur#es a&d !alcs= sheet to plot the results.

!ur#e !oefficie&t Defi&itio&s'T' Time to Trip.D' Time Dial Setti&.*' *ultiples of Picup.

, ' !ur#e !oefficie&ts. >a#e a Time Dial effects.!' @ixed at 1. ffects "here cur#ei&fi&ite time.' !ur#e coefficie&t. >as a maJor i&#erse&ess of rela% cur#e.H' fixed time dela% adder.

llo"ed !ur#e !o&sta&ts $a&es. -f a&% of cells !17 to 417 elo" are red,user has e&tered a co&sta&t that is out of ra&e.

Solutio& Sol#er;, oruser data e&tr%'

Desired

Time

!alculated

Time

(rror

seco&ds;

(rror x

srt*+P;

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T(ST1

Pae 6

0 0 1 0.5 0.028

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7 12/09/2015 297889629.xls

"urve #esriptions and "onstants (ist(uatio&

TED;/*F)!;GEDGH

Bhere

+arameter #esription E;planation

T Time to Trip Time that the 51 fu&ctio& "ill tae to time out a&d trip.

D Time Dial Setti& Time dial setti& for the 51 fu&ctio&.

* *ultiple of picup *easured curre&t i& multiples of picup. Timi& alorithm

has a d%&amic ra&e of 0 to 0 time picup.

!oefficie&t specific ffects the effecti#e ra&e of the time dial.

to selected cur#e

!oefficie&t specific ffects a co&sta&t term i& the timi& euatio&. >as reatest

to selected cur#e affect o& cur#e shape at hih multiples of tap.

! !oefficie&t specific ffects the multiple of P "here the cur#e "ould approach

to selected cur#e i&fi&it% if allo"ed to co&ti&ue elo" picup. >as reatest affect

o& cur#e shape &ear picup.

(xpo&e&t specific ffects the i&#erse&ess of the characteristic. >as reatest

to selected cur#e affect o& cur#e shape at lo" to medium multiples of tap.

H !o&sta&t !haracteristic mi&imum dela% term

!ur#e Descriptio&' !ur#e !o&sta&ts'

!ur#e Short Desi&atio&' S or S1 ! H $

pproximatel% (ui#ale&t to' !+)2 0.26630 0.03393 1.000 1.2969 0.028 0.5000

!ur#e ame S, Short -&#erse

Dra"i& o. D1089)10

!ur#e Short Desi&atio&' S2 ! H $

pproximatel% (ui#ale&t to' 4( -!)55 0.02860 0.02080 1.000 0.98 0.028 0.090

!ur#e ame S2, Short -&#erse

Dra"i& o. D2307)02

!ur#e Short Desi&atio&' or 1 ! H $


!ur#e ame , o& -&#erse

Dra"i& o. D1089)11

!ur#e Short Desi&atio&' 2 ! H $


!ur#e ame 2, o& -&#erse

Dra"i& o. D2307)01

!ur#e Short Desi&atio&' D ! H $


!ur#e ame D, Defi&ite Time

Dra"i& o. D1089)09

!ur#e Short Desi&atio&' * ! H $


!ur#e ame *, *oderatel% -&#erse

Dra"i& o. D1089)01

!ur#e Short Desi&atio&' - or -1 ! H $ pproximatel% (ui#ale&t to' !+)8 8.9310 0.17966 1.000 2.0938 0.028 9.0000

!ur#e ame -1, -&#erse Time

Dra"i& o. D1089)02

!ur#e Short Desi&atio&' -2 ! H $


!ur#e ame -2, -&#erse Time

Dra"i& o. D2307)0

!ur#e Short Desi&atio&' C or C1 ! H $

pproximatel% (ui#ale&t to' !+ )9 5.6780 0.1081 1.000 2.069 0.028 5.5000

!ur#e ame C, Cer% -&#erse

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8 12/09/2015 297889629.xls

Dra"i& o. D1090)03

!ur#e Short Desi&atio&' C2 ! H $

pproximatel% (ui#ale&t to' 4( -!)53 .3090 0.09910 1.000 1.9531 0.028 5.8231

!ur#e ame C2, Cer% -&#erse

Dra"i& o. D2307)03

!ur#e Short Desi&atio&' ( or (1 ! H $


!ur#e ame (, (xtremel% -&#erse

Dra"i& o. D1090)0!ur#e Short Desi&atio&' (2 ! H $

pproximatel% (ui#ale&t to' 4( -!)77 .98830 0.01290 1.000 2.069 0.028 .772

!ur#e ame (2, (xtremel% -&#erse

Dra"i& o. D2307)05

!ur#e Short Desi&atio&' ! H $

pproximatel% (ui#ale&t to' / 0.011 0.00000 1.000 0.0200 0.028 2.0000

!ur#e ame S/-(! Sta&dard -&#erse

Dra"i& o. D2570)06

!ur#e Short Desi&atio&' ! H $


!ur#e ame S/-(! Cer% -&#erse

Dra"i& o. D1089)07

!ur#e Short Desi&atio&' ! ! H $

pproximatel% (ui#ale&t to' / 8.25060 0.00000 1.000 2.069 0.028 8.0000!ur#e ame S/-(! (xtremel% -&#erse

Dra"i& o. D1089)05

!ur#e Short Desi&atio&' 4 ! H $


!ur#e ame S/-(! o& Time -&#erse

Dra"i& o. D2570)07

!ur#e Short Desi&atio&' P ! H $

pproximatel% (ui#ale&t to' / 7.76269 0.02751 1.00000 2.09392 0.02800

!ur#e ame Prorammale ) ser

Dra"i& o. /

!ur#e Short Desi&atio&' @ ! H $

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