Schulz Model Equations

8/13/2019 Schulz Model Equations

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May 07-18 Machine ModelMay 07-18 Machine Model

Parameter DeterminationParameter DeterminationYu Chan, Jared Kline, MarkYu Chan, Jared Kline, Mark

Reisiner, !dam "ro#laskiReisiner, !dam "ro#laski$enior Desin %eam 18$enior Desin %eam 18


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!enda!enda

&ntroduction, Pro'ect, Pur(ose- !dam&ntroduction, Pro'ect, Pur(ose- !dam

$am(le o) Machine Models- Jared$am(le o) Machine Models- Jared

*enrou $imulink +lock Diaram- !dam*enrou $imulink +lock Diaram- !dam*ra(hical ser &nter)ace- Yu Chan*ra(hical ser &nter)ace- Yu Chan


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Pro#lem De)initionPro#lem De)inition

*eneral lectric has #een tasked .ith*eneral lectric has #een tasked .ith

)indin (arameters associated .ith)indin (arameters associated .ith

synchronous enerators/ Currently, this is asynchronous enerators/ Currently, this is a

ery time consumin (rocess that may takeery time consumin (rocess that may take

an enineer seeral days to resole thean enineer seeral days to resole the

(arameters usin *s P$23 (o.er system(arameters usin *s P$23 (o.er system

modelin (roram/modelin (roram/


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Pro#lem De)inition ContinuedPro#lem De)inition Continued

4ur task is to desin a modelin system4ur task is to desin a modelin system.ithin Matla# and $imulink that can 5uickly.ithin Matla# and $imulink that can 5uicklyand accurately model seeral synchronousand accurately model seeral synchronous

machines/ 4ur o#'ectie is to reducemachines/ 4ur o#'ectie is to reduceenineerin .ork time )rom seeral days toenineerin .ork time )rom seeral days toless than one day/less than one day/

%he (ur(ose o) this (roram .ill #e to%he (ur(ose o) this (roram .ill #e tocom(are the accurate simulation aainstcom(are the accurate simulation aainst(hysical tests in semi-real time/(hysical tests in semi-real time/


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Pro#lem De)inition ContinuedPro#lem De)inition Continued

%his (roram .ill allo. enineers at * to%his (roram .ill allo. enineers at * to

5uickly determine the (arameters o) the5uickly determine the (arameters o) the

(hysical enerator #y makin in)ormed(hysical enerator #y makin in)ormed

uesses at the (arameters o) the simulationuesses at the (arameters o) the simulation

in an attem(t to match the simulationin an attem(t to match the simulation

results to the (hsyical results/results to the (hsyical results/


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3unctional Re5uirements3unctional Re5uirements

%he inter)ace o) this (roram must contain%he inter)ace o) this (roram must contain

slidin #ars o) the (arameters that canslidin #ars o) the (arameters that can

chane .ithin the modelchane .ithin the model

%he (roram must dis(lay all releant%he (roram must dis(lay all releant

ra(hs o) the simulation alon side thera(hs o) the simulation alon side the

ra(hs o) the (hysical tests/ra(hs o) the (hysical tests/

%he (roram must u(date in semi-real time/%he (roram must u(date in semi-real time/


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2imitations2imitations

%he (roram must #e desined usin%he (roram must #e desined usin

Matla# .ith the models deelo(ed inMatla# .ith the models deelo(ed in

$imulink/$imulink/

%he (roram is limited to (er)ormin%he (roram is limited to (er)ormin

simulation )or only the machines that haesimulation )or only the machines that hae

#een modeled #y * or our team/#een modeled #y * or our team/


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Relatie 3unctionality &m(ortanceRelatie 3unctionality &m(ortance

86100%otals

010!#le to scale (lots automatically to )itcure in (lot area as .ell as allo. user

9oomin/

:0100:0!#le to 5uickly and re(eatedly runsimulation

77010!#le to im(ort numeric test data ien#y client

:0100:0!#le to chane (arameters .ith slidin#ars and numeric entry

;:8060!#le to (lot simulation and (hysicaltest results toether

Resultant$core

aluation$core

Relatie&m(ortance

3unctionality


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$ystem +ein $imulated$ystem +ein $imulated


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Parts to #e ModeledParts to #e Modeled

%ur#ine- Conerts steam (ressure to mechanical%ur#ine- Conerts steam (ressure to mechanicaltor5ue/tor5ue/


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Dam(er "indinsDam(er "indins

Dam(er .indins made out o) co((er or #rassDam(er .indins made out o) co((er or #rassrods that hae #een im#edded into the )ace o) therods that hae #een im#edded into the )ace o) the(ole are o)ten )ound in lo. s(eed, salient (ole(ole are o)ten )ound in lo. s(eed, salient (olemachines .ith seeral (oles/ >ih s(eedmachines .ith seeral (oles/ >ih s(eed

machines hae round rotors that hae the samemachines hae round rotors that hae the samee))ect/e))ect/ Dam(er .indins sere seeral use)ul (ur(oses?Dam(er .indins sere seeral use)ul (ur(oses?

Dam(en rotor oscillationsDam(en rotor oscillations

Reduce oeroltaes durin short circuit conditionsReduce oeroltaes durin short circuit conditions !id synchroni9ation!id synchroni9ation

@o current )lo.s throuh dam(ers under steady-@o current )lo.s throuh dam(ers under steady-state conditions/state conditions/


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Model Com(onentsModel Com(onents

+asic $ynchronous Machine Construction+asic $ynchronous Machine Construction

MathematicsMathematics

Model ParametersModel Parameters


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$chul9 $tatorARotor 3lu< 2inkae Model$chul9 $tatorARotor 3lu< 2inkae Model

+lock Diaram+lock Diaram

$ource? $ynchronous Machine Modelin, Charles $chul9/


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Machine ConstructionMachine Construction

%.o #asic com(onents%.o #asic com(onents $tator$tator

4uter (ortion- remains4uter (ortion- remainsstationary/ >as three .indins/stationary/ >as three .indins/

RotorRotor

Rotates inside stator/ >asRotates inside stator/ >aselectromanets that (roduceelectromanets that (roducethe electric )ield that inducesthe electric )ield that inducescurrent into the stator .indins/current into the stator .indins/Can #e smooth Bround orCan #e smooth Bround orsalient (ole/salient (ole/

@um#er o) (oles is o)ten@um#er o) (oles is o)tenassumed to #e : )or sim(licity/assumed to #e : )or sim(licity/%his has ery little, i) any, e))ect%his has ery little, i) any, e))ecton the accuracy o) the model/on the accuracy o) the model/$ource? Po.er $ystems !nalysis/

+eren and =ittal


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D and !


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Dam(er "indin CircuitsDam(er "indin Circuits

%he num#er o) dam(er%he num#er o) dam(er

.indin circuits that.indin circuits that

are modeled canare modeled can

reatly a))ect thereatly a))ect thecom(le


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Concordias 5uationsConcordias 5uations

$chul9 5uation $et 1$chul9 5uation $et 1is the same asis the same asConcordias e5uations/Concordias e5uations/

%hese relate the )ield,%hese relate the )ield,d, and 5 a


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se)ul 5uationsse)ul 5uations

PHedIide5Ii5PHedIide5Ii5

Hs5rtBed:e5:Hs5rtBed:e5:

%Hi5I%Hi5ILLd-idId-idILL55%Hi5Ie5idIed%Hi5Ie5idIed


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$chul9 Model 5uations$chul9 Model 5uations

%he e5uations )or the%he e5uations )or the$chul9 model can #e$chul9 model can #ederied )rom Concordiasderied )rom Concordiase5uations assumin thate5uations assumin thatthere are t.o rotorthere are t.o rotor

circuits/circuits/ $chul9 neer e


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$chul9 Model +lock Diaram$chul9 Model +lock Diaram

$ource? $ynchronous Machine Modelin, Charles $chul9/


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ParametersParameters

Kundur ies a ery ood descri(tion o) ho. the Kundur ies a ery ood descri(tion o) ho. the (arameters in $chul9 model are calculated )rom the 2(arameters in $chul9 model are calculated )rom the 2(arameters in Concordias e5uations usin a notation(arameters in Concordias e5uations usin a notationsystem that is similar to $chul9 and ies ty(ical aluesystem that is similar to $chul9 and ies ty(ical alue

ranes/ranes/ &t should #e noted that reactance B and inductance B2&t should #e noted that reactance B and inductance B2

are e5uialent in (er-unit/are e5uialent in (er-unit/ Parameters can #e #roken do.n into three classes?Parameters can #e #roken do.n into three classes?

$u# transient? Parameters in)luencin 5uickly decayin .aes/$u# transient? Parameters in)luencin 5uickly decayin .aes/

Most authors denote these usin t.o a(ostro(hes BN/Most authors denote these usin t.o a(ostro(hes BN/ %ransient? &n)luence slo.ly decayin com(onents/ %hese are%ransient? &n)luence slo.ly decayin com(onents/ %hese are

usually denoted .ith one a(ostro(he BN/usually denoted .ith one a(ostro(he BN/

$ynchronous? $ustained/$ynchronous? $ustained/


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%ime Constants%ime Constants

3our (er a


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&nductances&nductances

%he la#elin system )or inductances is much the%he la#elin system )or inductances is much thesame as )or time constants/same as )or time constants/

2((d and 2(d re(resent the short circuit d a


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Desin ConsiderationsDesin Considerations

Must #e a#le to connect machine to in)initeMust #e a#le to connect machine to in)inite

#us/#us/

Must calculate the initial condition )or eachMust calculate the initial condition )or each

interal/interal/


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"orks Re)erenced"orks Re)erenced

Concordia, Charles/Concordia, Charles/ $ynchronous Machines$ynchronous Machines/ "iley/ "iley1E1/1E1/

+eren, !rthur/ =ittall, =i'ay/+eren, !rthur/ =ittall, =i'ay/ Po.er $ystemsPo.er $ystems

!nalysis!nalysis/ Prentice >all :000// Prentice >all :000/ *rainer John/ $teenson, "illiam/*rainer John/ $teenson, "illiam/ Po.erPo.er$ystem !nalysis$ystem !nalysis/ Mc*ra.->ill 1EE6/ Mc*ra.->ill 1EE6

Kundur, Pra#ha/Kundur, Pra#ha/ Po.er $ystem $ta#ility andPo.er $ystem $ta#ility and

ControlControl/ Mc*ra.->ill 1EE;// Mc*ra.->ill 1EE;/ $auer, Peter and Pai, M/!/$auer, Peter and Pai, M/!/ Po.er $ystemPo.er $ystem

Dynamics and $ta#ilityDynamics and $ta#ility/ Pearson 1EE7// Pearson 1EE7/


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$imulink Model$imulink Model

Classical MachineClassical Machine


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$imulink Model$imulink Model

D and !


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; Phase %est 3ault; Phase %est 3ault


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%o( 2eel $imulation M-3ile%o( 2eel $imulation M-3ile


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JaaJaa

ProPro4#'ectie oriented lanuae4#'ectie oriented lanuae

Plat)orm inde(endent !P&Plat)orm inde(endent !P&More interactie *& ca(a#ilitiesMore interactie *& ca(a#ilities

ConCon


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Matla#Matla#

ProPro2are li#rary o) #uild-in )unction2are li#rary o) #uild-in )unction

"ell-documented"ell-documentedMeet all the #asic needsMeet all the #asic needs

ConCon

2imited *& )unctionality e// no ta#2imited *& )unctionality e// no ta#2ack com(le< (rorammin a#ility e// no (ass #y2ack com(le< (rorammin a#ility e// no (ass #y

re)erencere)erence


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3unctional Re5uirements3unctional Re5uirements

"orks .ith di))erent #lock diarams"orks .ith di))erent #lock diarams

deelo(ed #y clientsdeelo(ed #y clients

=isuali9e result (lot in *&=isuali9e result (lot in *&

Chane (arameter alues .ith slider #arsChane (arameter alues .ith slider #ars

&m(ort test data and com(are simulation&m(ort test data and com(are simulation

resultresult

ndo, reset #uttonndo, reset #utton


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Desin ChallenesDesin Challenes

$imulation s(eed s/ interactie$imulation s(eed s/ interactie

Data structure to store di))erent sets o)Data structure to store di))erent sets o)

(arameters associate .ith di))erent tests )or(arameters associate .ith di))erent tests )or

each #lock diaramseach #lock diarams


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&nteractie 3actors&nteractie 3actors

$(eed 3actors$(eed 3actors

$imulation s(eed$imulation s(eed

%ime it takes to enter and chane (arameters%ime it takes to enter and chane (arameters

%ime it takes )or the user to inter(ret the data%ime it takes )or the user to inter(ret the data

&nteractie 3actors&nteractie 3actors

>o. easy to chane (arameters alue>o. easy to chane (arameters alue

>o. easy to learn>o. easy to learn


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Proram Com(onentsProram Com(onents

*ra(hical ser &nter)ace*ra(hical ser &nter)ace

Matla# (roramMatla# (roram$imulink +lock Diaram$imulink +lock Diaram

GUI Matlab Simulink

User's request Simulation commands

Plot result Result data


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M2 Diaram and &nter)acesM2 Diaram and &nter)aces

-Machine name

-List of parameters-List of outputs

Simulink Block Diagram

GUI

Main Program

n

n

3Import

Return simulate result4

Plot simul ink result4

Test Data F ile-List of machine model name

-Pro!ram settin!

Program Setting File

-"umber of parameters

-List of parameter name-List of output name-GUI la#out settin!

GUI Setting File

$$%


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+asic 3lo. Chart+asic 3lo. Chart

ser re(eatedly?ser re(eatedly?

:: *uess (arameters*uess (arameters

;; "ait )or simulation result"ait )or simulation result

66 Com(are simulation resultsCom(are simulation results

.ith test data.ith test data

Initiali&e pro!ram

'han!eParameters

Simulate model

'ompare result

(uit pro!ram)

*+it


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Detailed 3lo. ChartDetailed 3lo. Chart

Prompt user to select machine model from Main ,indo-

Update GUI settin!

Prompt for test data location

Load block dia!ram

*+ecutes block dia!ram in simulink

.pen machine's GUI .pen GUI settin! -indo-

Update parameters /alue in block dia!ram

,ait for user's action0 User chan!es GUI settin!0 User chan!es parameters

0 User clicks simulate button

0 in/alid location1 file format

Plot simulink result in GUI

Load parameters /alue to GUI Plot test data in GUI

0 User e+it GUI

Initiali&e GUI

Main ,indo-

Settin! ,indo-Simulation ,indo-


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$creenshot$creenshot


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3uture Deelo(ment3uture Deelo(ment

Key#oard shortcutKey#oard shortcut

More interactie ra(hMore interactie ra(h

Proram settin )ileProram settin )ileDi))erent %ests and machine modelsDi))erent %ests and machine models

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Schulz Model Equations