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G

A

B C

D

F

1

2

7

6

54

3

S D M Education Societys

Shree Dharmasthala Manjunatheshwara Institute of Technology (SDMIT)Electrical & Electronics Engineering Department

Ujire 574240 !arnata"a State #$D#A

%UES'$ BA$! C(ass) *## Se+ester B,E EEE

-ear) 20.5/.

Su1ject ) .0EE7. Co+uter &ec3niues in o6er Syste+

Ana(ysis

U$#& . ) $et6or" &oo(oy 8 U$#& /2 $et6or" Matrices

. May 9 :une 200; Dec 0(ain 1riey t3e ri+itie net6or" used in t3e ?or+ation o? 1us ad+ittance

+atri> 1y sinu(ar trans?or+ation

Dec 20.2) .0 Mar"s,

For t3e syste+ dened 1y t3e (ine data deter+ine t3e 1us ad+ittance +atri>

1y sinu(ar trans?or+ation, Se(ect 1us as re?erence 1us and a tree 6it3

e(e+ents and 7 as (in"s,

ine $o . 2 4 5 7

Bus Code /

./ 2/ 2/5 ./ /4 4/5 /

Ad+ittance

in ,u

20 5 .0 5 20 .0 25

4 May 2007 Dec 07 9 :an 200; May 9 :une 200; Dec 0; 9 :an 200< Dec 0ression ?or ?or+ation o? 1us ad+ittance +atri> -BUS1y sinu(ar

trans?or+ation

5 Dec 0

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2

.

j0.4

j0.10

j0.50

. 2

4

0

4

.

5

2

1e(o6)

E(e+ent $o . 2 4 5Bus Code / 0/. 0/2 2/ /0 2/0

Se(? Ad+ittance

in u

.,4 ., 2,4 2,0 .,;

< :une 9:u(y 20. ) .0 Mar"s

Derie t3e enera(ied a(orit3+ ?or ndin t3e e(e+ents o? 1us i+edance

+atri> 63en a 1ranc3 is added to t3e artia( net6or"

.0 :une 9:u(y 20. ) 07 H 0 Mar"s

For t3e syste+ s3o6n 1e(o6 6it3 1us . as re?erence and (ine data i+edance

as s3o6n

a@ Co+ute t3e IBUS1y addin ./2 2/ and ./1@ Discuss t3e rocedura( stes need to i@ Je+oe an e(e+ent ./ and ii@

+odi?y t3e a(ue o? e(e+ent 2/ to join j 0,(ain t3e ter+s i@ &reeK ii@ Basic Cutsets

. :une 9:u(y 20.. ) 0; Mar"s

&3e oriented ra3 o? a syste+ is s3o6n 1e(o6)

'1tain ) i@ Basic Cutset #ncidence Matri> B ii@ Basic oo #ncidence Matri> C

Se(ect e(e+ents 5 and 7 as (in"s, Lence eri?y t3e re(ation

t

lb BC =

.4 :une 9:u(y 20.. ) 0 Mar"s

&3e 1us ad+ittance 6it3 round node 0 as re?erence o? a o6er syste+

net6or" 6it3 4 1uses is ien 1e(o6, '1tain t3e ad+ittance diara+, Assu+e

no +utua( cou(in,

-BusN

Question Bank 2015 : .0EE7. Co+uter &ec3niues in o6er Syste+ Ana(ysis) *## Se+ester B,E /EEESDM#& Ujire /574240 #$D#A ae 2 o? .

. 2 4. /

j.5

j.0 0 j5

2 j.0 /

j.7

j5 0

0 j5 /

j.

a+(es ) i@ Gra3 ii@ Branc3 at3

incidence +atri>

20 May 9 :une 200; Dec9:an 20.0 ) 0; Mar"s

&3e 1us incidence +atri> is ien 1e(o6, Dra6 t3e oriented ra3, '1tain t3e

au+ented (oo incidence +atri>

0110

0011

1100

1001

0100

0010

1000

0001

Question Bank 2015 : .0EE7. Co+uter &ec3niues in o6er Syste+ Ana(ysis) *## Se+ester B,E /EEESDM#& Ujire /574240 #$D#A ae o? .

. 2

. 0,

0;

0,

042 0,

04

0,

.2

ine

$o

Connect

in

$odes

Ad+itta

nce

in ,u. ./4 .,42 ./2 .,

2/ 2,44 /4 2,0

5 2/4 .,;

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4

. 2

2. Dec9:an 20.0 ) 0; Mar"s

For t3e o6er syste+ s3o6n 1e(o6 se(ect round as re?erence and a tree ?or

63ic3 e(e+ents are ./2 ./4 and 2/, =rite t3e 1asic cutset and 1asic (oo

incidence +atri>, eri?y t3e re(ation

t

lb BC =

22 Dec 0; 9 :an 200< :une 9 :u(y 200 ?or t3e data ien 1e(o6 usin 1ui(din

a(orit3+, A(( t3e i+edances are ien in ,u, ta"e round as re?erence 1us,

$ode ?ro+ /

to

./0 2/0 ./2 2/

#+edance

u

j .,0 j .,25 j 0,25 j 0,05

24 Dec 9 :an 200a+(es i@ 'riented Connected

Gra3 ii@ ri+itie $et6or"

2 :une 9 :u(y 200< ) 0 Mar"s / S3o6 t3at ?or a o6er syste+ -BUSN AtOyPA

63ere A is 1us incidence +atri> and y is ri+itie ad+ittance +atri>

27 :une 9 :u(y 200

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2< Dec 0; 9 :an 200< ) 0 Mar"s

For+ IBUS1y usin 1ui(din a(orit3+ ana(ysis 6it3 t3e data as ?o((o6s 1y

addin t3e e(e+ents in t3e seuence ./2 ./, &reat 1us . as re?erence,

Se(? #+edance Mutua( #+edance/ I Qu@ r/s I rs Qu@./2 j 0,5

./ j 0, ./2 j 0,.

0 May 2007 May 9 :une 200; ) .4 Mar"s / E>(ain t3e ?or+ation o? IBUS usin1ui(din a(orit3+

. Dec 07 9 :an 200; ) .2 Mar"s

Find t3e 1us i+edance +atri> ?or t3e syste+ 63ose reactance diara+ is

s3o6n 1e(o6) a(( t3e i+edances are +ar"ed in ,u

2 May 2007 ) 0; Mar"s

For t3e net6or" s3o6n 1e(o6 o1tain -BUS1y sinu(ar trans?or+ation ana(ysis,

ine data is ien in t3e ta1(e 1e(o6)

May 2007 ) 0; Mar"s

For+ t3e IBUS?or t3e o6er syste+ s3o6n 1e(o6, Se(ect node . as re?erence,

&3e (ine reactances are +ar"ed in ,u in t3e diara+

Question Bank 2015 : .0EE7. Co+uter &ec3niues in o6er Syste+ Ana(ysis) *## Se+ester B,E /EEESDM#& Ujire /574240 #$D#A ae 5 o? .

ine $o Connectin

$odes

Ad+ittance

in ,u. ./2 .,02 2/ 2,0 /. .,0

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1

4

2

5

j 0,2 j 0,

j 0,4

j 0,.

4 Dec 0 9 :an 2007 ) 0; Mar"s

Deter+ine t3e -BUS1y sinu(ar trans?or+ation ?or t3e syste+ 6it3 t3e data as

1e(o6)

E(e+ent $o . 2 4 5Bus Code / 0/. ./2 2/ /0 2/0Se(? Ad+ittance

in u

0,; 0,50 0,40 0,50 0,25

5 May 9 :une 200 ) .2 Mar"s

'1tain t3e enera(ied a(orit3+ euations ?or ndin t3e e(e+ents o? IBUS63en a cou(ed 1ranc3 e(e+ent is added to its artia( net6or", A(so arrie at

t3e si+(ied euations corresondin to t3e ?o((o6in su1 cases)

i, Addition o? non cou(ed 1ranc3 e(e+entii, Addition o? non cou(ed 1ranc3 e(e+ent to re?erence 1usiii, Je+oa( o? an e(e+ent

May 9 :une 200 ) 0; Mar"s

For+ t3e IBUS1y addin t3e e(e+ents in seuence, Consider 1us 4 as

re?erence 1us

7 Dec 20.4 9 :an 20.5 ) 0; Mar"s

For t3e net6or" ra3 s3o6n 1e(o6 consider e(e+ents .2 as tree 1ranc3es

and node 4 as re?erence and o1tain ) i@ Bus #ncidence Matri> AK ii@ Branc3 at3

#ncidence Matri> !, &3ere ?ro+ s3o6 t3at A1!&N I

; Dec 20.4 9 :an 20.5 ) 0 Mar"s

Question Bank 2015 : .0EE7. Co+uter &ec3niues in o6er Syste+ Ana(ysis) *## Se+ester B,E /EEESDM#& Ujire /574240 #$D#A ae o? .

7/24/2019 CTPS-QBANK-2015

7/16

Dene ri+itie net6or", &3e data re(atin to assie e(e+ents is ien

1e(o6) o1tain i@ ri+itie #+edance Matri>K ii@ ri+itie Ad+ittance Matri>,

E(e+ent

$o

Se(? #+edance I

Qu@

Mutua( #+edance

I rs Qu@. 0,4 //2 0,5 0,. Q 6it3 e(e+ent .@ 0,; //

< Dec 20.4 9 :an 20.5 ) 0; Mar"s

&3e ositie seuence i+edance data ?or t3e sa+(e o6er syste+ is s3o6n

1e(o6) $e(ectin resistance ?or+ t3e ositie seuence 1us ad+ittance

+atri> -BUSusin sinu(ar trans?or+ation, &a"e round as re?erence,

E(e+ent G. G2 ine . ine 2 ine

ositie Seuence

#+edance

0,20 0,25 0Hj0,

.0

0,02Hj0,

20

0,0Hj0,4

0

40 Dec 20.4 9 :an 20.5 ) 0; Mar"s

&3e 1us i+edance +atri> o? a 5 node net6or" 6it3 node 5 as re?erence is

ien 1e(o6, Find t3e too(oy o? t3e net6or" and ara+eters o? t3e

e(e+ents 1y usin IBUS 1ui(din a(orit3+, A(( t3e a(ues are in er unit

reactances,

=

3020

0200

2020

0002

BUSZ

U$#& 8 4 ) 'AD F'= S&UD#ES., :une9 :u(y 20. ) 04 Mar"s

Discuss t3e 1us c(assication o? (oad o6

2, Dec 07 9 :an 0; Dece+1er 20.2 :une9 :u(y 20.) 0; Mar"s

E>(ain t3e (oad o6 studies rocedure 6it3 e>ressions as er Gauss

Seide( Met3od ?or o6er syste+ 3ain a(( tyes o? 1uses

, Dec 20.4 9 :an 20.5 ) 04 Mar"s

For an n 1us syste+ o1tain t3e o6er o6 euations in o(ar ?or+

4, Dec 0; 9 :an 0

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5, Dec 07 9 :an 0; Dec 0; 9 :an 0 o? $J +et3od o? (oad o6 studies, #? t3e syste+ 1us

nu+1er .2 to .4 is c3aned to /% 1uses deter+ine t3e ne6 order o?

:aco1ian,

7, Dec 0< 9 :an 20.0 May 9 :une 20.0 :une 9 :u(y 20.. :une9 :u(y 20.) 0

Mar"s Dec 20.4 9 :an 20.5 ) 0; Mar"s

Co+are $J and GS +et3ods ?or (oad o6 ana(ysis

;, Dec 0; 9 :an 0(ain its i+ortance

., May 9 :une 20.0 :une 9 :u(y 20.. ) 0; Mar"s

Derie t3e e>ressions ?or diaona( e(e+ents o? $J :aco1ian su1 +atrices

in o(ar ?or+

Question Bank 2015 : .0EE7. Co+uter &ec3niues in o6er Syste+ Ana(ysis) *## Se+ester B,E /EEESDM#& Ujire /574240 #$D#A ae ; o? .

ine

?ro+ 1us

to 1us

J in u R in u

./2 0,05 0,.5./ 0,.0 0,02/ 0,.5 0,45

2/4 0,.0 0,0

/4 0,05 0,.5

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.4, :une 9 :u(y 20.. ) 0; Mar"s

#n o6er syste+ s3o6n 1e(o6 1us . is s(ac" and re+ainin are (oad 1uses,

=rite do6n t3e 1us o(tae euations ?or GS iteratie tec3niue

.5, :une 9 :u(y 20.. ) 0 Mar"s

For a t3ree 1us syste+ - 1us 6it3 round as re?erence is as ?o((o6s)

. 2 . /

j

2

j.

0

0

2 j.

0

/

j.5

j5

0 j5 /jBus . is s(ac" 6it3 o(tae Q.,02 H j 0 @ u, &3e rea( and reactie o6er

injections in u at 1uses 2 and Q(oad 1uses@ are 2 N / 0,50K %2 N / 0,.0K

N /0,0K % N 0,0, Assu+in Q . H j 0,0 @ u o(tae at 1uses 2 and

deter+ine its o(taes at t3e end rst iteration usin GS +et3od,

., May 9 :une 20.0 ) .0 Mar"s

For t3e o6er syste+ s3o6n 1e(o6 nd t3e o(tae at t3e 1us 2 at t3e end

o? t6o iterations usin GS +et3od, &3e 1us . is s(ac" 6it3 o(tae eua( to

Q.,04 H j0@ u 1us 2 is % 1us 6it3 S2 N Q j.,5@ u and 1us is * 1us

6it3 +anitude o? o(tae eua( to .,02 u and rea( o6er eua( to 0,;0 u

.7, Dec 20.4 9 :an 20.5 ) 0; Mar"s

For t3e o6er syste+ s3o6n 1e(o6 nd t3e co+(e> o(tae at t3e 1us 2

at t3e end o? rst iterations usin GS +et3od, &3e 1us . is s(ac" 1us, Gien

*. N Q.,04 H j0@ u 1us 2 is % 1us 6it3 S2 N Q /5,

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10/16

.(ain 6it3 t3e 3e( o? o6c3art t3e co+utationa( rocedure ?or (oad o6 so(ution usin $J +et3od

63en t3e syste+ is containin a(( tyes o? 1uses,

2, :une9:u(y 200< ) .0 Mar"s

For t3e sa+(e o6er syste+ s3o6n 1e(o6 deter+ine t3e 1us o(taes at

t3e end o? .stiteration usin GS +et3od, Jeuired (ine and 1us data is

ien 1e(o6)

ine

Fro+ Bus to

Bus

J

in u

R

in

u./2 0,05 0,.5

./2 0,.0 0,02/ 0,.5 0,45

2/4 0,.0 0,0/4 0,05 0,.5

24, Dec 0; 9 :an 0< ) 04 Mar"s

Discuss on t3e c3aracteristic ?eatures o? iteratie +et3ods ?or t3e so(ution

o? non (inear diTerentia( euations durin o6er syste+ ca(cu(ations,

Question Bank 2015 : .0EE7. Co+uter &ec3niues in o6er Syste+ Ana(ysis) *## Se+ester B,E /EEESDM#& Ujire /574240 #$D#A ae .0 o? .

Bus

*o(

tae

Ge

ner

atio

n

oad

G %G D %

D. .,05 / / / /

2 .,0 20 / 50 20 .,00 / / 0 25

Bus in u % in u * in u &ye o?

Bus. / / .,04

.0

S(ac"

2 0,5 /0,2 / %

/0,. 0,5 / %4 0, /0,. / %

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Derie t3e trans+ission (oss ?or+u(ae ?or a syste+ consistin o? n eneratin

(ant su(yin seera( (oads inter connected t3rou3 a trans+ission net6or"

4, :une9 :u(y 20.) .0 Mar"s Dec 20.4 9 :an 20.5 ) .0 Mar"s

Co+ute t3e (oss coeVcients ?or t3e net6or" s3o6n 1e(o6 usin t3e ien

data) #aN .,0 j 0,.5 uK IaN 0,02 H j 0,.5 uK #1N 0,5 j 0,.0 uK IaN 0,0 H j

0,.5 uK #c N 0,2 j 0,05 uK IaN 0,02 H j 0,25 u, #? t3e 1ase is .00 M*A 63at

6i(( 1e t3e +anitudes o? B coeVcients in reciroca( M=, A(so co+ute t3e

trans+ission (oss in ,u,

5, Dece+1er 20.2 Dec 200

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B.2

.., :une 9 :u(y 20.. ) 07 Mar"s

&6o 1us syste+ is s3o6n 1e(o6, #? .25 M= is trans+itted ?ro+ (ant . to t3e

(oad a trans+ission (oss o? .5,25 M= is incurred, Find t3e reuired

eneration ?or eac3 (ant and t3e o6er receied 1y (oad 63en t3e syste+ >

is Js, 24 9 M63, &3e incre+enta( ?ue( costs o? t6o (ants are ien 1e(o6)

,/150255.0 11

1MwhRsP

dP

dF

G

G

+=

,/2005.02

2

2MwhRsP

dP

dF

G

G

+=

.2, :une 9 :u(y 20.. ) 07 Mar"s

#n a syste+ co+risin t6o eneratin stations t3e ?u(e costs in Js93r are) F .

N 0,004 .2H ; .H.0K F2N 0,00 2

2H < 2H.5, &3e syste+ is oeratin on

econo+ic (oad disatc3 6it3 .N 2N 500 M=K d9 d2N 0,20K Find t3e

ena(ty ?actor o? (ant .,

., :une 9 :u(y 20.. May 9 :une 200; ).0 Mar"s

&3e incre+enta( ?ue( costs in Js9M63 ?or eneratin units in a syste+ are)

,/3012.0 11

1MwhRsP

dP

dF

G

G

+= ,/402.0 22

2MwhRsP

dP

dF

G

G

+= ,/1016.03

3

3

MwhRsPdP

dFG

G

+=

&3e constraints on t3e eneratin units are

;150301

MWP ;100202

MWP

;25050 3 MWP

Deter+ine t3e oti+a( (oad a((ocation 63en t3e tota( (oad

de+and is .0M=, $e(ect (osses,

.4, Dec 0< 9 :an 20.0 ) .0 Mar"s

&3ere are t6o tur1o enerators ?eedin a (oad 1us 6it3 t3e ?o((o6in

incre+enta( c3aracteristics) #C.N H 0,0.5 . #C2N 2 H 0,0.; 2,

i, Find t3e econo+ic sc3edu(e i? t3e tota( (oad is .0 M= assu+in no

eneration (i+its,ii, Jeeat t3e ro1(e+ Qi@ 6it3 t3e ?o((o6in eneration (i+it is considered)

Unit . ) +a>N .00 M= +inN 20 M= Unit 2 ) +a>N .00 M= +inN .0

M=

.5, Dec 20.4 9 :an 20.5 ) .0 Mar"s

&3e ?ue( inut in ca(ories er 3our ?or (ant . and 2 are ien as) F.N Q0,024

.2H ; .H ;0@ > .0

ca(93r F2N Q0,04 22H 2H .20@ > .0

ca(93r, &3e

+ini+u+ and +a>i+u+ (oads on t3e units are .0 M= and .00 M=

Question Bank 2015 : .0EE7. Co+uter &ec3niues in o6er Syste+ Ana(ysis) *## Se+ester B,E /EEESDM#& Ujire /574240 #$D#A ae . o? .

7/24/2019 CTPS-QBANK-2015

14/16

resectie(y, Deter+ine t3e +ini+u+ cost o? eneration er day i? t3e (oad

cure is as s3o6n 1e(o6, &a"e t3e cost o? ?ue( as Js, .0 er +i((ion ca(oric,

., Dec 0< 9 :an 20.0 ) .2 Mar"s

A t6o 1us syste+ s3o6n 1e(o6 6it3out enerator (i+its 3as 1een considered,

=3ere (oad AN .00 M=

(oad BN 0,000; QA .00@2 #FCAN 0,00 AH 4 Js 9 M=3r #FCBN 0,007 BH4 Js 9 M=3r, Find t3e oti+a( eneration ?or eac3 (ant and o6er (oss in t3e

(ine,

.7, Dec 0< 9 :an 20.0 ) .0 Mar"s

For a syste+ one (ine diara+ is s3o6n 1e(o6) Assu+e #.N .,0 u #2N 0,;

u, #? t3e o(tae at t3e 1us is *N .,0 u nd (oss coeVcients and o6er

(oss, &a"e IaN 0,04 H j 0,. u I1N 0,0 H j 0,.2 u IcN 0,02 H j 0,0; u

.;, Dec 0< 9 :an 20.0 ) .0 Mar"s

&3e ?ue( costs ?or a (ant consistin o? units are as ?o((o6s) F .N 0,. .2H 40

.H .00 Js93rK F2N 0,.25 22H 0 2H ;0 Js93rK FN 0,.5

2H 20 H .50

Js93rK Assu+e t3at a(( units are oeratin a(( ti+es and t3e tota( (oad is 400

M=, &3e +a>i+u+ and +ini+u+ (oads on eac3 unit are .50 and 20 M=

resectie(y, Lo6 6i(( 400 M= (oad 1e s3ared a+on units ?or oti+a(

oeration

.

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G.H 20 Js 9 M=3 #C2N 0,0.5 G2H 22,5 Js 9 M=3 t3e syste+ is runnin

under oti+a( sc3edu(in 6it3 G.N G2 N .00 M=, #? incre+enta( (oss o? t3e

enerator 2 is 0,20 ne t3e ena(ty ?actors and incre+enta( (oss o? t3e

enerator .

20, :une9:u(y 2007 ) .2 Mar"s

=rite do6n t3e tota( trans+ission (ine (oss ?or+u(a in ter+s o? B coeVcients

and t6o source (oadins . and 2, '1tain t3e enera( (oss coeVcient

?or+u(a 6it3 usua( notations, State a(so t3e assu+tions +ade in deriin t3e

?or+u(a,

2., :une9:u(y 2007 ) ; Mar"s

A o6er syste+ consists o? t6o .00 M= units 63ose inut cost data are ien

1y t3e euations) C.N 0,05 .2H 20 .H ;00 Js93rK C2N 0,0 2

2H 20 2H

.000 Js93rK #? t3e tota( (oad receied is .50 M= 63at cou(d 1e t3e diision o?

(oad 1et6een t3e t6o units ?or t3e +ost econo+ic oeration Find a(so t3e

annua( sain in ?ue( cost in ruees as co+ared 6it3 t3e sa+e (oad o? .50

M= diided eua((y 1et6een t3e t6o units,

22, Dec 200; 9 :an 200

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16/16

sta1i(ity o? a ien o6er syste+ usin +odied Eu(ers +et3od

2 :une9 :u(y 20. ) .0 Mar"s

E>(ain Mi(ne redictor Corrector +et3od

May 2007 Dec 0;9:an 200(ain t3e +et3od o? ndin t3e transient

sta1i(ity o? a ien o6er syste+ usin June !utta +et3od

4 Dec 0< 9 :an 20.0 May9:une 20.0 Dece+1er 20.2 ) .0 Mar"sE>(ain i@ $et6or" er?or+ance euations ii@ oad +ode(s e+(oyed in +u(ti

+ac3ine sta1i(ity ana(ysis

5 May 2007 May9:une 200; Dec 0< 9 :an 20.0 May9:une 20.0 Dece+1er 20.2 )

.0 Mar"s

E>(ain 6it3 t3e necessary euations t3e so(ution o? s6in euation 1y oint

1y oint +et3od Lo6 discontinuities are 3and(ed

Dec 20.4 9 :an 20.5 ) .0 Mar"s

=it3 t3e aid o? re(eant euations used ?or (ottin t3e s6in cure discuss

3o6 a suita1(e rotectin sc3e+e can 1e desined to aoid t3e syste+ ?ro+

?a((in out o? ste Qoint 1y oint Met3od@

May9:une 20.0 ) 05 Mar"s

ist t3e +erits and de+erits o? June !utta +et3od,

7 May9:une 20.0 ) 07 Mar"s

&3e s6in euation o? a sync3ronous enerator is

)sin4.01(32sec;/377

==

dt

drad

dt

d

At t N 0 sec

.523.0sec,/377 radandrad ==

deter+ine t3e a(ues o?

and

at

0,. sec usin +odied Eu(ers +et3od, Assu+e

sec1.0=t

; Dec 079:an 200; :une9:u(y 200