Domaci Iz Razvodnih 65789

8/13/2019 Domaci Iz Razvodnih 65789

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Elektrotehniki fakultet Univerziteta u Beogradu

RAZVODNA POSTROJENJA

Veba 2

Proraun kratkih spojeva u sloenim mreama


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Podaci o sinhronom generatoru:

Sng=200 MVA;

Ung=10.5 kVA;

Xg=160%;

Xg=32%;

Xg=20%;

Podaci o vodovima:

V1=V2=V3; Un=400 kV; l=300 km; x=0.4 /km; x/r=4;

V4=V5=V6=V7=V8; Un=110 kV; x=0.37 /km; x/r=3.5;

Podaci o transformatorima:

T1=T2=T3; Sn=200 MVA; xt=12%; xt/rt=30;

T4=T5=T6; Sn=20 MVA; xt=10%; xt/rt=10;

Poaci o mrei:

S=1000 MVA; S=5000 MVA; S

=8000 MVA; Xm

/Rm=5; Xm

/X0=0.8;

P1: P=10 MW; Q=5 MVar; Xpd/Xpi=2;



T

dtip=0.023s, Tdtip=0.9s. Uticaj radnih struja obuhvatiti preko koeficijenata

k=k=k

=1.1=Umax,rad/Un. Trajanje kvarovaje t=0.3s.

Zadatak I (deo 1 i 2):

Za trofazan kratak spoj i za jednofazan kratak spoj (tamo gde ima smisla), potrebno je

odrediti: I(kA), I(kA), I

(kA) za sleede elemente postrojenja:

Prekia: s-T1; s-T6; p-T1; p-T6;

Prekiae na voovima: V1, V4;

Sabirnice: S2;


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Proraun struje kvara za izbor prekidaa s-T1

Jenofazni kvar je mogud na strani primara, ok je sekunarna strana izolovana (sprega ).

Suptranzijentni period:

z direktno (6.194498,117.5455);

Rezultati za 3PKS

**************************************

Ikvara: (0.1084122,-2.057208)

Ia( 10)= (0.1084122,-0.5416635)

Ia( 1)= (6.2531527E-08,-1.515545)

**************************************

Tranzijentni period:

z direktno (11.50233,163.5129);

Rezultati za 3PKS

**************************************

Ikvara: (0.1038070,-1.475682)

Ia( 10)= (0.1038069,-0.5284668)

Ia( 1)= (5.6845430E-08,-0.9472153)

**************************************

Ustaljeni period:

z direktno (46.38752,392.5706);

Rezultati za 3PKS

**************************************

Ikvara: (7.1983404E-02,-0.6091847)

Ia( 10)= (7.1983360E-02,-0.4197417)

Ia( 1)= (4.2359463E-08,-0.1894431)

**************************************


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Struja kvara u ustaljenom reimu je veda sa strane generatora, a u suptranzijentnom i

tranzijentnom periou je veda sa strane mree.

Struje kvara preraunate na naponski nivo prekiaa s-T1 (10.5 kV) su:

I(10.5 kV)=23.368 kA;I

(10.5 kV)=56.355 kA;I

(10.5 kV)=78.478 kA;

Proraun struje kvara za izbor prekidaa p-T1

Jenofazni kvar je mogud na strani primara, ok je sekunarna strana izolovana (sprega ).


z direktno (16.33835,146.9370);

Rezultati za 3PKS

**************************************

Ikvara: (0.1812582,-1.630125)

Ia( 1)= (0.1694199,-0.6830572)

Ia( 10)= (1.1838274E-02,-0.9470673)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 1)= (7.7908471E-02,-0.3866652)

Ia( 10)= (1.9816920E-02,-0.4968965)

Ib( 1)= (-1.4436226E-02,-1.6528236E-02)

Ib( 10)= (1.4032043E-02,1.6679000E-02)

Ic( 1)= (-1.3960530E-02,-1.7104451E-02)

Ic( 10)= (1.3960506E-02,1.7104439E-02)

**************************************


z direktno (21.76555,176.7607);

Rezultati za 3PKS


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**************************************

Ikvara: (0.1663993,-1.351349)

Ia( 1)= (0.1601373,-0.6625220)

Ia( 10)= (6.2620244E-03,-0.6888269)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 1)= (7.8551888E-02,-0.3931203)

Ia( 10)= (1.7814819E-02,-0.4587151)

Ib( 1)= (-3.2814652E-02,-7.9188487E-03)

Ib( 10)= (1.5982322E-02,-4.3054111E-03)

Ic( 1)= (3.0203571E-03,-4.1596973E-03)

Ic( 10)= (-3.0203697E-03,4.1596950E-03)

**************************************

Ustaljeni period:

z direktno (52.03634,350.2206);

Rezultati za 3PKS

**************************************

Ikvara: (0.1006535,-0.6774287)

Ia( 1)= (0.1002437,-0.5012036)

Ia( 10)= (4.0980973E-04,-0.1762251)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 1)= (7.0925497E-02,-0.3838199)

Ia( 10)= (1.6185347E-02,-0.3209524)


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Ib( 1)= (-7.9335973E-02,2.0428829E-02)

Ib( 10)= (1.5771046E-02,-6.2290054E-02)

Ic( 1)= (5.2264292E-02,2.8171800E-02)

Ic( 10)= (-5.2264314E-02,-2.8171809E-02)

**************************************

Za suptranzijentni i tranzijentni period kritinije su vrenosti struja kvara pri trofaznom

kratkom spoju, a za ustaljeni perio kritinija je struja jenofaznog kratkog spoja, i one

iznose za pojedine periode:

I(400 kV)=0.710 kA;I(400 kV)=1.361 kA;I

(400 kV)=1.640 kA;

Proraun struje kvara za izbor prekidaa s-T6

Ustaljeni period:

z direktno (47.59505,304.6646);

Rezultati za 3PKS

**************************************

Ikvara: (0.1213765,-0.7769534)

Ia( 9)= (0.1070323,-0.7689348)

Ia( 13)= (1.4344230E-02,-8.0185281E-03)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 9)= (7.0986070E-02,-0.5662748)

Ia( 13)= (1.6064309E-02,-7.1980134E-02)

Ib( 9)= (-4.6301666E-03,6.8426155E-02)

Ib( 13)= (5.4727294E-03,-6.6751733E-02)

Ic( 9)= (-7.3440941E-03,6.6644192E-02)

Ic( 13)= (7.3441141E-03,-6.6644214E-02)

**************************************


7/27


z direktno (34.25257,187.8897);

Rezultati za 3PKS

**************************************

Ikvara: (0.2277075,-1.249071)

Ia( 9)= (0.2133632,-1.241052)

Ia( 13)= (1.4344233E-02,-8.0185290E-03)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 9)= (8.2517475E-02,-0.6327258)

Ia( 13)= (1.6444720E-02,-7.9403065E-02)

Ib( 9)= (-6.9766697E-03,7.5342417E-02)

Ib( 13)= (7.9852371E-03,-7.5378746E-02)

Ic( 9)= (-8.4580872E-03,7.6270297E-02)

Ic( 13)= (8.4580882E-03,-7.6270334E-02)

**************************************


z direktno (32.56904,174.6524);

Rezultati za 3PKS

**************************************

Ikvara: (0.2502066,-1.341740)

Ia( 9)= (0.2358624,-1.333722)

Ia( 13)= (1.4344230E-02,-8.0185272E-03)

**************************************

Rezultati za 1PKSZ


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**************************************

Ia( 9)= (8.3912380E-02,-0.6412732)

Ia( 13)= (1.6483987E-02,-8.0356680E-02)

Ib( 9)= (-7.2690491E-03,7.6233543E-02)

Ib( 13)= (8.2967188E-03,-7.6489717E-02)

Ic( 9)= (-8.5886922E-03,7.7507779E-02)

Ic( 13)= (8.5887024E-03,-7.7507794E-02)

**************************************

Za sva tri perioa kratkog spoja su kritine struje trofaznog kratkog spoja i one iznose:

I(110 kV)=2.859 kA;I(110 kV)=4.617 kA;I

(110 kV)=4.963 kA;

Proraun struje kvara za izbor prekidaa p-T6

Poto je primar vezan u trougao ne razmatramo jenofazni kratak spoj.


z direktno (158.8722,932.2368);

Rezultati za 3PKS

**************************************

Ikvara: (4.3077502E-02,-0.2527719)

Ia( 13)= (1.5155641E-02,-7.5777387E-03)

Ia( 9)= (2.7921865E-02,-0.2451942)

**************************************


z direktno (161.5949,944.4891);

Rezultati za 3PKS

**************************************

Ikvara: (4.2676825E-02,-0.2494373)

Ia( 13)= (1.5155641E-02,-7.5777397E-03)


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Ia( 9)= (2.7521180E-02,-0.2418595)

**************************************

Ustaljeni period:

z direktno (184.2006,1052.706);

Rezultati za 3PKS

**************************************

Ikvara: (3.9108239E-02,-0.2235034)

Ia( 13)= (1.5155618E-02,-7.5777378E-03)

Ia( 9)= (2.3952618E-02,-0.2159257)

**************************************

I(10 kV)=9.076 kA;I(10 kV)=10.122 kA;I

(10 kV)=10.257 kA;

Proraun struje kvara za izbor prekidaaza vod V1 kod vora 1

Ustaljeno stanje:

z direktno (52.03614,350.2180);

Rezultati za 3PKS

**************************************

Ikvara: (0.1006545,-0.6774337)

Ia( 1)= (4.1001386E-04,-0.1762248)

Ia( 2)= (0.1002445,-0.5012088)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 1)= (1.7807519E-02,-0.3149690)

Ia( 2)= (6.4247124E-02,-0.3472156)

Ib( 1)= (7.7056274E-02,-3.2579411E-02)

Ib( 2)= (-1.7343095E-02,7.1930416E-02)


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Ic( 1)= (-4.6592474E-02,-3.9892815E-02)

Ic( 2)= (4.6592485E-02,3.9892800E-02)

**************************************


z direktno (21.76601,176.7605);

Rezultati za 3PKS

**************************************

Ikvara: (0.1664030,-1.351349)

Ia( 1)= (6.2639718E-03,-0.6888191)

Ia( 2)= (0.1601390,-0.6625299)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 1)= (1.9841699E-02,-0.4416775)

Ia( 2)= (7.0465937E-02,-0.3487262)

Ib( 1)= (3.3279665E-02,-8.6308718E-03)

Ib( 2)= (-1.7672025E-02,1.9992184E-02)

Ic( 1)= (2.9017567E-05,-1.2156241E-02)

Ic( 2)= (-2.9013559E-05,1.2156235E-02)

**************************************


z direktno (16.33895,146.9376);

Rezultati za 3PKS

**************************************

Ikvara: (0.1812634,-1.630117)

Ia( 1)= (1.1841743E-02,-0.9470526)


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Ia( 2)= (0.1694217,-0.6830647)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 1)= (2.1851238E-02,-0.4764350)

Ia( 2)= (6.9690093E-02,-0.3412151)

Ib( 1)= (1.6236264E-02,-1.2524883E-03)

Ib( 2)= (-1.5862010E-02,1.1133670E-03)

Ic( 1)= (1.5795359E-02,-7.1970373E-04)

Ic( 2)= (-1.5795352E-02,7.1969477E-04)

**************************************

Struje meroavne za izbor ovog prekiaa su struje trofaznog kratkog spoja:

I(400 kV)=0.685 kA;I(400 kV)=1.361 kA;I

(400 kV)=1.640 kA;

Proraun struje kvara za izbor prekidaa za vod V1 kod vora 2


z direktno (16.33895,146.9376);

Rezultati za 3PKS

**************************************

Ikvara: (0.1812634,-1.630117)

Ia( 2)= (1.1841743E-02,-0.9470526)

Ia( 1)= (0.1694217,-0.6830647)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 2)= (2.1851238E-02,-0.4764350)

Ia( 1)= (6.9690093E-02,-0.3412151)


12/27

Ib( 2)= (1.6236264E-02,-1.2524883E-03)

Ib( 1)= (-1.5862010E-02,1.1133670E-03)

Ic( 2)= (1.5795359E-02,-7.1970373E-04)

Ic( 1)= (-1.5795352E-02,7.1969477E-04)

**************************************


z direktno (21.76601,176.7605);

Rezultati za 3PKS

**************************************

Ikvara: (0.1664030,-1.351349)

Ia( 2)= (6.2639718E-03,-0.6888191)

Ia( 1)= (0.1601390,-0.6625299)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 2)= (1.9841699E-02,-0.4416775)

Ia( 1)= (7.0465937E-02,-0.3487262)

Ib( 2)= (3.3279665E-02,-8.6308718E-03)

Ib( 1)= (-1.7672025E-02,1.9992184E-02)

Ic( 2)= (2.9017567E-05,-1.2156241E-02)

Ic( 1)= (-2.9013559E-05,1.2156235E-02)

**************************************

Ustaljeni period:

z direktno (52.03614,350.2180);

Rezultati za 3PKS


13/27

**************************************

Ikvara: (0.1006545,-0.6774337)

Ia( 2)= (4.1001386E-04,-0.1762248)

Ia( 1)= (0.1002445,-0.5012088)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 2)= (1.7807519E-02,-0.3149690)

Ia( 1)= (6.4247124E-02,-0.3472156)

Ib( 2)= (7.7056274E-02,-3.2579411E-02)

Ib( 1)= (-1.7343095E-02,7.1930416E-02)

Ic( 2)= (-4.6592474E-02,-3.9892815E-02)

Ic( 1)= (4.6592485E-02,3.9892800E-02)

**************************************

Struje merodavne za izbor ovog prekiaa su struje trofaznog kratkog spoja:

I(400 kV)=0.685 kA;I(400 kV)=1.362 kA;I

(400 kV)=1.640 kA;


Ustaljeni period:

z direktno (44.44111,296.0635);

Rezultati za 3PKS

**************************************

Ikvara: (0.1202339,-0.8009895)

Ia( 5)= (8.1067920E-02,-0.6191979)

Ia( 7)= (3.9165966E-02,-0.1817916)

**************************************

Rezultati za 1PKSZ


14/27

**************************************

Ia( 5)= (5.8927476E-02,-0.4916109)

Ia( 7)= (3.2441810E-02,-0.1926130)

Ib( 5)= (2.2976908E-03,4.6224874E-02)

Ib( 7)= (2.2600966E-03,-4.2811710E-02)

Ic( 5)= (-7.4948720E-03,4.5052297E-02)

Ic( 7)= (7.4948883E-03,-4.5052301E-02)

**************************************


z direktno (30.27147,177.0531);

Rezultati za 3PKS

**************************************

Ikvara: (0.2275106,-1.330674)

Ia( 5)= (0.1628000,-1.053172)

Ia( 7)= (6.4710602E-02,-0.2775021)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 5)= (6.8632230E-02,-0.5592423)

Ia( 7)= (3.5871431E-02,-0.2125815)

Ib( 5)= (-2.1187582E-03,5.3520497E-02)

Ib( 7)= (3.7684741E-03,-5.2977480E-02)

Ic( 5)= (-5.0636041E-03,5.4134645E-02)

Ic( 7)= (5.0636171E-03,-5.4134667E-02)

**************************************


15/27


z direktno (28.35323,163.1947);

Rezultati za 3PKS

**************************************

Ikvara: (0.2505901,-1.442339)

Ia( 5)= (0.1807724,-1.148483)

Ia( 7)= (6.9817685E-02,-0.2938562)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 5)= (6.9813192E-02,-0.5689960)

Ia( 7)= (3.6244333E-02,-0.2145697)

Ib( 5)= (-3.3091253E-03,5.4816484E-02)

Ib( 7)= (3.9862259E-03,-5.5029403E-02)

Ic( 5)= (-4.1403999E-03,5.5722196E-02)

Ic( 7)= (4.1404008E-03,-5.5722233E-02)

**************************************


I(110 kV)=2.943 kA;I(110 kV)=4.909 kA;I

(110 kV)=5.324 kA;



z direktno (33.11565,176.6077);

Rezultati za 3PKS

**************************************

Ikvara: (0.2487112,-1.326391)

Ia( 7)= (0.1197651,-0.5608609)


16/27

Ia( 5)= (0.1289462,-0.7655303)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 7)= (5.7599574E-02,-0.3620832)

Ia( 5)= (5.0169174E-02,-0.3976867)

Ib( 7)= (2.4294504E-03,-4.0728781E-02)

Ib( 5)= (-3.1643962E-03,4.0965702E-02)

Ic( 7)= (3.3266942E-03,-4.1720629E-02)

Ic( 5)= (-3.3266949E-03,4.1720640E-02)

**************************************


z direktno (34.93471,190.1206);

Rezultati za 3PKS

**************************************

Ikvara: (0.2267075,-1.233781)

Ia( 7)= (0.1104801,-0.5273911)

Ia( 5)= (0.1162274,-0.7063895)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 7)= (5.6911059E-02,-0.3580966)

Ia( 5)= (4.9254347E-02,-0.3909114)

Ib( 7)= (1.3202839E-03,-3.9722823E-02)

Ib( 5)= (-2.9513990E-03,3.9243560E-02)

Ic( 7)= (4.1820100E-03,-4.0416528E-02)


17/27

Ic( 5)= (-4.1820277E-03,4.0416531E-02)

**************************************

Ustaljeni period:

z direktno (48.86771,307.7493);

Rezultati za 3PKS

**************************************

Ikvara: (0.1220399,-0.7685584)

Ia( 7)= (6.4334482E-02,-0.3421484)

Ia( 5)= (5.7705395E-02,-0.4264101)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 7)= (5.0877612E-02,-0.3228497)

Ia( 5)= (4.1971821E-02,-0.3442674)

Ib( 7)= (-2.7867749E-03,-3.4297366E-02)

Ib( 5)= (-1.5323922E-03,3.1056192E-02)

Ic( 7)= (6.4989012E-03,-3.3176146E-02)

Ic( 5)= (-6.4989072E-03,3.3176124E-02)

**************************************


I(110 kV)=2.829 kA;I(110 kV)=4.560 kA;I

(110 kV)=4.905 kA;

Proraun struje kvara za izbor sabirnice S2 pri kvaru na vodu V5

Ustaljeni period:

z direktno (44.44097,296.0625);


18/27

Rezultati za 3PKS

**************************************

Ikvara: (0.1202343,-0.8009923)

Ia( 5)= (7.5322300E-02,-0.5359994)

Ia( 8)= (4.4912022E-02,-0.2649929)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 5)= (5.5412106E-02,-0.4457319)

Ia( 8)= (3.5957254E-02,-0.2384931)

Ib( 5)= (5.3017950E-03,2.2402575E-02)

Ib( 8)= (1.0118786E-03,-1.9152286E-02)

Ic( 5)= (-6.9835596E-03,2.2994908E-02)

Ic( 8)= (6.9835568E-03,-2.2994926E-02)

**************************************


z direktno (30.27125,177.0524);

Rezultati za 3PKS

**************************************

Ikvara: (0.2275110,-1.330680)

Ia( 5)= (0.1440042,-0.9219621)

Ia( 8)= (8.3506793E-02,-0.4087183)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 5)= (6.3292608E-02,-0.5088318)


19/27

Ia( 8)= (4.1211035E-02,-0.2629933)

Ib( 5)= (7.9208490E-04,2.8428959E-02)

Ib( 8)= (1.0327831E-03,-2.7632685E-02)

Ic( 5)= (-2.6348322E-03,2.8814871E-02)

Ic( 8)= (2.6348312E-03,-2.8814904E-02)

**************************************


z direktno (28.35307,163.1940);

Rezultati za 3PKS

**************************************

Ikvara: (0.2505908,-1.442345)

Ia( 5)= (0.1593741,-1.009071)

Ia( 8)= (9.1216706E-02,-0.4332740)

**************************************

Rezultati za 1PKSZ

**************************************

Ia( 5)= (6.4261608E-02,-0.5183216)

Ia( 8)= (4.1795935E-02,-0.2652453)

Ib( 5)= (-7.2430464E-04,2.9710051E-02)

Ib( 8)= (1.0769948E-03,-2.9802108E-02)

Ic( 5)= (-1.1736234E-03,3.0153552E-02)

Ic( 8)= (1.1736391E-03,-3.0153574E-02)

**************************************

Za proraun sabirnica meroavna je zbirna struja koja otie iz svih prikljunih grana koje se

stiu u vor.

I(110 kV)=2.942 kA;I

(110 kV)=4.909 kA;I

(110 kV)=5.323 kA;


20/27

Zadatak II (deo 3):

Za sve prekiae efinisane u prvom elu vebe, za trofazan kratak spoj oreiti: i ud max(kA);

A(kA2s); Iefpuno(kA).

Prekida s-T1

iud max=52.88 kA;A=155.76 kA

2

s;Iefpuno=19.66 kA;

Prekida p-T1


21/27

iud max=3.677 kA;A=0.514 kA2s;Iefpuno=1.106 kA;

Prekida s-T6

iud max=11.32 kA;A=7.18 kA2s;Iefpuno=4.66 kA;

Prekida p-T6

iud max=23.3 kA; A=32.36 kA2s; Iefpuno=10.16 kA;


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Prekida za vod V1 kod vora 1





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Zadatak II (deo 4):

Sabirnice 2

Vremenski tok struja kratkog spoja i generisani toplotni impuls:

iud max=12.239 kA; A=8.22 kA

2

s;

Sila toja deluje na fazni provodnik faze A:


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Sila koja deluje na fazni provodnik faze B:

Sila koja deluje na fazni provodnik faze C:


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Sile koje deluju na paket provodnika:

Hodograf sile koja deluje na fazu A:


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Hodograf sile koja deluje na fazu B:

Hodograf sile koja deluje na fazu C:

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