電力系統(tǒng)短路電流計(jì)算例題與程序

1、電力系統(tǒng)短路電流計(jì)算例題與程序編寫余名寰本文用導(dǎo)納矩陣求逆計(jì)算節(jié)點(diǎn)阻抗矩陣，運(yùn)用復(fù)合序網(wǎng)絡(luò)圖計(jì)算各節(jié)點(diǎn)對(duì)稱故障和不對(duì)稱故障時(shí)短路電流、節(jié)點(diǎn)電壓和各支路故障電流。2.1用阻抗矩陣計(jì)算短路的基本公式：節(jié)點(diǎn)三相對(duì)稱短路，注入節(jié)點(diǎn)的短路電流ld=-Vd(0,/Zdd(2-1)式中vd(o)故障點(diǎn)在短路發(fā)生前的電壓，簡化計(jì)算時(shí)Vd(0)=lZdd故障點(diǎn)d的自阻抗負(fù)號(hào)表示電流從節(jié)點(diǎn)流出故障點(diǎn)短路電流在各節(jié)點(diǎn)所產(chǎn)生的電壓分量Q-2)V=ZI式中Z節(jié)點(diǎn)阻抗矩陣I節(jié)點(diǎn)注入電流的列矩陣當(dāng)只有一點(diǎn)故障時(shí)上述電壓分量為5=ZJd(i=l,2,3/«-.n)(2-3)式中Zdi故障點(diǎn)d與節(jié)點(diǎn)i的互阻抗短路故障

2、后的節(jié)點(diǎn)電壓Vi=Vi(0,+Vi(d)(2-4)式中V?節(jié)點(diǎn)i故障發(fā)生前的電壓短路故障時(shí)通過各支路的電流I產(chǎn)(VrVj)/Zij(2-5)式中z(j聯(lián)系節(jié)點(diǎn)i和節(jié)點(diǎn)j的支路阻抗單相接地短路故障點(diǎn)的電流和電壓：A相單相接地故障la0=lal=la2=Val(/(ZddO+Zddl+Zdd2)(2-6)Q-7)Q-8)(2-9)(210)(2-11)(2-12)(2-13)(2-14)(2-15)ZddOzZddVZdd2-零序、正序、負(fù)序網(wǎng)絡(luò)故障節(jié)點(diǎn)的自阻抗Va()=ZddOVal=Vj°)+ZddJal%2=Zdd2L=3l.i兩相接地短路：B.C相短路接地故障增廣正序網(wǎng)的綜介等值

3、阻抗乙Zf二NmdZu?/(Zuo+Zu2)1.1=-Val(0)/(Zd,Ji+Z£)Ko=Zar/(Zw+Zg)Ia：=-LlZwo/(Zuo+Zw)h=Lo+al<i+ala2a二(-1/2+jJ3/2)a2=(-l/2-jJ3/2)兩相短路：B.C兩相短路故障I.1=I.2=-Val(0,/(Zddl+Zdd2)(2-18)lb=jV3I.t(2-19)支路ij間的某一點(diǎn)d發(fā)生故障時(shí)，視d點(diǎn)為新的節(jié)點(diǎn)d點(diǎn)與節(jié)點(diǎn)k的互阻抗Z.Zft=(1-L)ZiLZji(2-20)d點(diǎn)的自阻抗ZuZu=(1-L),Zh+L,Zjj+2L(1-L)Zu+L(1-L)zu(2-21)式中L

4、為端點(diǎn)i到故障點(diǎn)d的距離所占線路全長的百分?jǐn)?shù)Zn,Z«分別為節(jié)點(diǎn)i和節(jié)點(diǎn)j與節(jié)點(diǎn)k的互阻抗Zu.,Zjj為節(jié)點(diǎn)i和節(jié)點(diǎn)j的自阻抗Zu為節(jié)點(diǎn)i與節(jié)點(diǎn)j的互阻抗zm是節(jié)點(diǎn)i和節(jié)點(diǎn)j間的線路阻抗2.2短路電流計(jì)算時(shí)用導(dǎo)納矩陣求逆計(jì)算節(jié)點(diǎn)阻抗矩陣參考文獻(xiàn)介紹了從網(wǎng)絡(luò)的原始阻抗矩陣求節(jié)點(diǎn)導(dǎo)納矩陣的方法和相關(guān)程序。與潮流計(jì)算時(shí)不同的是網(wǎng)絡(luò)圖參考節(jié)點(diǎn)為發(fā)電機(jī)中性點(diǎn)，計(jì)及發(fā)電機(jī)次暫態(tài)電抗；零序網(wǎng)絡(luò)圖參考節(jié)點(diǎn)為變壓器中性點(diǎn)，計(jì)及變壓器零序電抗，雙回線有零序互感阻抗。包括中性點(diǎn)的節(jié)點(diǎn)導(dǎo)納矩陣是不定導(dǎo)納矩陣，在求逆矩陣前要去掉參考節(jié)點(diǎn)(中性點(diǎn))轉(zhuǎn)化為定導(dǎo)納矩陣后再求阻抗矩陣。以卜舉例說明從導(dǎo)納矩陣計(jì)算節(jié)點(diǎn)

5、阻抗矩陣的方法和程序?！纠?.1】圖27所示為一個(gè)3節(jié)點(diǎn)網(wǎng)絡(luò)，兩臺(tái)發(fā)電機(jī)，四條線路。發(fā)電機(jī)一臺(tái)中性點(diǎn)接地，另一臺(tái)不接地。發(fā)電機(jī)次暫態(tài)電抗和線路阻抗原始數(shù)據(jù)在表27、表2-2中給出，線路3、4間有零序互感電抗。試計(jì)算該網(wǎng)絡(luò)圖的正序和零序節(jié)點(diǎn)阻抗矩陣。圖2-1例2.1網(wǎng)絡(luò)圖表2-1正序網(wǎng)絡(luò)數(shù)據(jù)首端節(jié)點(diǎn)編號(hào)末端節(jié)點(diǎn)編號(hào)回路編號(hào)自感標(biāo)么阻抗R(pu.)自感標(biāo)么阻抗X(pu.)4160.00.20004310.00.16001220.00.08002330.00.06002340.00.06001350.00.1300表22零序網(wǎng)絡(luò)數(shù)據(jù)首端末端回路編號(hào)自感標(biāo)么自感標(biāo)么互感標(biāo)么互感標(biāo)么節(jié)點(diǎn)編號(hào)節(jié)點(diǎn)編號(hào)阻抗

6、R阻抗X阻抗Rz阻抗Xm4310.00.02001220.00.14002330.00.10000.00.05002340.00.12000.00.05001350.00.1700例2.1節(jié)點(diǎn)正序負(fù)序和零序阻抗矩陣計(jì)算源程序clearglobalNpNbNp=4;Nb=6;Npl=3;nstart=1,2,2,1,4,4;nend=2r3,3,3,1,3;nun=ffm(nstartrnend);%zblzbO,theseriesimpedancesoftransmissionlinezbli=0.08,0.06,0.06r0.13r0.2,0.16;zbl=j*zbli;ybl=NbL人(-

7、1);ys=diag(conj(yblf);y=mm*ys*(mm)1;Nb=5;nstart0=lr2,291,4;nend0=2r3,3,3,3;nim0=ffm(nstartO,nendO);zb0i=0.14r0.10,0.12,0.17,0.02;zbO=j*zbOi;zs0=diag(zbO.T);zsO(二,3)=0.05*i;zs0(3,2)=0.05*i;ys0=inv(zsO);y0=mm0*ys0*(mmO)f;fori=l:Nplforj=l:NplYl(i,j)=y(i,j);Y0(i,j)=y0(i,j);endendY2=Y1;zl=inv(Yl);z2=inv(

8、Y2);zO=inv(YO);程序說明：正序網(wǎng)絡(luò)有4個(gè)節(jié)點(diǎn)6條支路，所以Np=4;Nb=6;獨(dú)立節(jié)點(diǎn)數(shù)Npl=3;發(fā)電機(jī)中性點(diǎn)編號(hào)設(shè)為最大值編號(hào)4。零序網(wǎng)絡(luò)只有5條支路，因?yàn)橹挥幸粋?cè)發(fā)電機(jī)中性點(diǎn)接地。因?yàn)榱阈蚧ジ须娍?，采用在?duì)角矩陣zsO增加互感元素zsO（二，3）;zsO（3,2）的方法先導(dǎo)出零序原始阻抗矩陣nsO,再求逆矩陣得到零序原始導(dǎo)納矩陣ysO。Yl,Y0為去掉中性節(jié)點(diǎn)（參考點(diǎn)）后的正序和零序定導(dǎo)納矩陣。Z1,n2,n0分別為節(jié)點(diǎn)正序負(fù)序和零序阻抗矩陣，假定負(fù)序阻抗和正序阻抗相同。程序運(yùn)算結(jié)果：Z0=0+0.1157i0+0.0546i0+0.0200i0+0.0546i0+0.08

9、31i0+0.0200i0+0.0200i0+0.0200i0+0.0200i»Z1Z1二0+0.104710+0.0810i0+0.0763i0+0.0840i0+0.1122i0+0.0928i0+0.0763i0+0.0928i0+0.0990i»Z2Z2二0+0.1047i0+0.0810i0+0.0763i0+0.084010+0.1122i0+0.092810+0.0763i0+0.0928i0+0.0990i2.3短路電流計(jì)算例題例2.4.2例題為如圖二-6所示的6節(jié)點(diǎn)網(wǎng)絡(luò)。節(jié)點(diǎn)二、1間和節(jié)點(diǎn)4、3間通過變壓器連接，變壓器和發(fā)電機(jī)接線如圖所示，支路1和支路6之

10、間有零序互感，其正序網(wǎng)絡(luò)和零序網(wǎng)絡(luò)數(shù)據(jù)見表2.5、2.6,試計(jì)算各節(jié)點(diǎn)單相和三相短路時(shí)節(jié)點(diǎn)短路電流、節(jié)點(diǎn)電壓和相鄰支路故障電流。表25正序網(wǎng)絡(luò)數(shù)據(jù)(中性點(diǎn)編號(hào)為7)首端節(jié)點(diǎn)編號(hào)末端節(jié)點(diǎn)編號(hào)回路編號(hào)自感標(biāo)么阻抗R(pu.)自感標(biāo)么阻抗X(pu.)1410.16000.74001620.24001.03602331.44602.10002540.56401.28004350.00.26604660.19400.81406570.00.60007180.02000.24007290.03000.4800表2-6零序網(wǎng)絡(luò)數(shù)據(jù)首端末端回路自感標(biāo)自感標(biāo)互感支互感支互感標(biāo)互感標(biāo)節(jié)點(diǎn)節(jié)點(diǎn)編號(hào)么阻抗么阻抗路首端

11、路末端么阻抗么阻抗編號(hào)編號(hào)RX節(jié)點(diǎn)節(jié)點(diǎn)RmXm7290.00.03201620.98402.08401410.80001.8500460.50000.95002542.82003.84002333.78005.26004660.90002.0600140.50000.95007670.00.60007450.00.26602.4.2.1例2.4.2短路電流計(jì)算程序shortE2e.m%shortE2e.mglobalNpNb%正序網(wǎng)絡(luò)包括參考節(jié)點(diǎn)數(shù)和支路數(shù)a=-0.5+j*sqrt(3)/2;T=l11a2a1aa"21;%T為對(duì)稱分量法的合成矩陣Np=7；Nb=9;%最大節(jié)點(diǎn)編號(hào)為

12、參考點(diǎn)nstart=l,1,2,2,4,4,6,7,7;nend=4,6,3,5,3,6,5,1,2;nun=ffmGistart,nend);%zblzbO,theseriesimpedancesoftransmissionlinezblr=0.16,0.246,L446,0.564,0.0,0.194,0.0,0.020,0.030;zbli=0.74,1.036,2.10,1.28,0.266,0.814,0.6C,0.24,0.48;zbl=zbIr+j*zb1i;ybl=zbl.*(-1);ysl=diag(conj(ybl');yl=iran*ysl*(mm)9;Mb=8;

13、%零序網(wǎng)絡(luò)支路數(shù)nstart0=7,1,1,2,2,4,7,7;nend0=2,6,4,5,3,6,6,4;nm0=ffm(nstar10,nendO);zb0r=0.0,0,981,0.80,2.82,3.78,0.90,0.0,0.C;zbOi=O.032,2.084,1.850,3.840,5.260,2.060,C.60,0.266;zbO=zbOr+j*zbOi;ybO=zbO."(-1);ys01=diag(conj(ybO");y01=mm0*ys01*(mmO)"zsO=diag(zbO.')；zs0(3,6)=0.5+0.95*i;zs0

14、(6,3)=0.5+0.95*i;%互感支路ys0=inv(zs0);y0=mm0*ys0*(mmO)'N1二6%輸入網(wǎng)絡(luò)獨(dú)立節(jié)點(diǎn)數(shù)fori=l:Nlforj=l:NlY 1(i,j)=yl(i,j);Y 0(i,j)=yO(i,j);Y 01(i,j)=y01(i,j);endendY=(abs(Yl)>0);%獲得Y1非零元素ZM=0.8000+1.8500i,0.5000+0.9500i;0.500C+0.9500i,0.9000+2.0600i;YM=inv(ZM);%輸入互感導(dǎo)納矩陣Y2=Yl;%輸入負(fù)序網(wǎng)絡(luò)節(jié)點(diǎn)導(dǎo)納矩陣zl=inv(Yl);z2=inv(Y2);z0=

15、inv(Y0);正序和零序網(wǎng)絡(luò)節(jié)點(diǎn)阻抗矩陣zl,zO'zlzO'短路類型說明fault(f(1)=1,f(3)=2,f(2)=3,f(l,l)=D，fork=l:NlfprintfC短路點(diǎn)的節(jié)點(diǎn)編號(hào)k二%.Ogn,k)%輸入短路點(diǎn)的節(jié)點(diǎn)編號(hào)forfault=l：2;%1輸入短路類型fprintf('短路類型fault二%.Ogn*,fault)%第一部份，計(jì)算短路時(shí)所有節(jié)點(diǎn)的a,b,c三相電壓Zl(：,k)=zl(：,k);Zkl=Zl(：,k);%正序網(wǎng)絡(luò)中節(jié)點(diǎn)m的自阻抗和互阻抗Z2(:,k)=z2(:,k);Zk2=Z2(:,k);%負(fù)序網(wǎng)絡(luò)中節(jié)點(diǎn)m的自阻抗和互阻抗

16、ZO(:,k)=zO(:,k);ZkO=ZO(:,k);%零序網(wǎng)絡(luò)中節(jié)點(diǎn)m的自阻抗和互阻抗iffault=l%根據(jù)故障類型選擇不同的計(jì)算公式Ikl=l/(Zl(k,k)+Z2(k,k)+ZO(k,k);Ik2=Ikl;IkO=Ikl;elseiffault=2Ikl=l/Zl(k,k)；Ik2=O；IkO=O;elseiffault=3Ikl=l/(Zl(k,k)+Z2(k,k);Ik2=-Ikl;IkO=O;elseiffault=4Ikl=l/(Z1(k,k)+Z2(k,k)*Z0(k,k)/(Z2(k,k)+ZO(k,k);Ik2=-Ikl*Z0(k,k)/(Z2(k,k)+ZO(k,k

17、);IkO=-Ikl*Z2(k,k)/(Z2(k,k)+ZO(k,k);endendendendIki;%所計(jì)算的短路點(diǎn)正序電流Ik=IklIk2IkO;'短路點(diǎn)正序負(fù)序和零序電流幅值和角度abs(Ik)angle(Ik)*180/pilabc=T*Ik.'labc;%所計(jì)算的短路點(diǎn)三相電流'短路點(diǎn)A相短路電流幅值和角度abs(labc(1,1)angle(labc(1,l)*180/piforp=l：Nlifp=kIl(p)=-Ikl;I2(p)=-Ik2;IO(p)=-IkO;elseIl(p)=O;I2(p)=0;IO(p)=O;endenduul(:,k)=;u

18、u2(:,k)=Y2I2/;uuO(：,k)=YOIO/;ul=l+uul(:,k);%計(jì)算所有節(jié)點(diǎn)k點(diǎn)故障時(shí)的正序電壓u2=uu2(:,k);%計(jì)算所有節(jié)點(diǎn)k點(diǎn)故障時(shí)的負(fù)序電壓uO=uuO(:,k);%計(jì)算所有節(jié)點(diǎn)卜點(diǎn)故障時(shí)的零序電壓'節(jié)點(diǎn)編號(hào)，節(jié)點(diǎn)正序負(fù)序和零序電壓幅值和角度PUpDp'forp=l：N1U=ul(p)u2(p)uO(p);Up=abs(U);Dp=angle(U)*180/pi;Uabc=T*(U.*);UUabc=abs(Uabc);%UUabc表示p廿點(diǎn)的三相電壓有效值ifY(p,k)=lP,Up,Dpendend%第二部分：計(jì)算支路電流'支路

19、節(jié)點(diǎn)編號(hào),正序、負(fù)序和零序電流幅值和角度forn=l：Nlif(Y(n,k)&n"=k)=lmn=n;mn(2)=k;mnIB1(n,k)=(ul(n)-ul(k)*(Y1(n,k);%正序支路電流的實(shí)用計(jì)算IB2(n,k)=(u2(n)u2(k)*(-Y2(n,k);%負(fù)序支路電流的實(shí)用計(jì)算IBO(n,k)=(uO(n)-uO(k)*(-Y01(n,k);%零序支路電流的實(shí)用計(jì)算if(k=l&n=4)=lIBO(n,k)=YM(1,1)*(uO(n)-u0(k)+YM(l,2)*(uO(6)pO(n);%IB041=YM11*u41+YM12*u64elseif(k

20、=l&n=l)=lIBO(n,k)=YM(l,D*(uO(n)-u0(k)+YM(1,2)*(uO(k)-uO(6);%IBO14=YM11*u14+YM12*u46elseif(k=4&n=6)=1IBO(n,k)=YM(2,l)*(uO(k)-uO(l)+YM2)*(uO(n)-uO(k);%lbO64=YM21*u41+YM22*u64elseif(k-6&n=4)=lIBO(n,k)=YM(2,D*(uO(l)-uO(n)+YM(2,2)*(uO(n)-uO(k);%IBO16=YM21*ul4+YM22*u46endendendendIB=IBl(n,k)IB

21、2(n,k)IB0(n,k)/;abs(IB)angle(IB)*180/piIabc=T*IBl(n,k)IB2(n,k)IB0(n,k)/;Iabc;%Iabc表示支路(叫n)的a,b,c三相電流abs(labc);angle(Iabc)*180/pi;endendendend2. 4.2.2程序說明由原始矩陣和節(jié)點(diǎn)關(guān)聯(lián)矩陣求節(jié)點(diǎn)導(dǎo)納矩陣，去掉參考節(jié)點(diǎn)轉(zhuǎn)為定導(dǎo)納矩陣。節(jié)點(diǎn)阻抗矩陣zLzO由定導(dǎo)納矩陣求逆得到。ZM.YM為互感支路阻抗和導(dǎo)納矩陣，用于計(jì)算互感支路電流。Y01為不計(jì)及互感的零序?qū)Ъ{矩陣，用于計(jì)算非互感支路電流。矩陣Y是Y1絕對(duì)值不為零關(guān)系運(yùn)算結(jié)果，用于去除與故隙點(diǎn)無關(guān)的節(jié)點(diǎn)電壓

22、和支路電流計(jì)算；按2.1節(jié)的基本公式計(jì)算各種短路故障正序負(fù)序和零序電流；由節(jié)點(diǎn)注入電流列矢量與阻抗矩陣的乘枳計(jì)算節(jié)點(diǎn)電壓，注意節(jié)點(diǎn)注入電流與節(jié)點(diǎn)故障電流方向相反，取負(fù)值。對(duì)互感支路按以下公式計(jì)算支路電流：若支路1與支路2互耦.其導(dǎo)納矩陣為思；渡,則；=舄；2. 4.2.3程序運(yùn)行結(jié)果（為省篇幅只摘錄部分?jǐn)?shù)據(jù)）ans=正序和零序網(wǎng)絡(luò)節(jié)點(diǎn)阻抗矩陣zl,Z0zl=0.0225+0.21501-0.0061+00197i0.0263+0161210.022S0172710.0212+0128310.0183+016381-0.00610.0497i00112+03809i-0.0159+0.15711

23、-0.0079+0.13131-0.0070+02231100002+01522i0026301612i-00159+0.1571i01624+0.739110.1133+0.5337100619+0.270H00729+0.3279100225+0.1727if0079+01343i01133+05337101327+0.5769100651+02782i00688+03173i00212+01283i-00070+02231i0.0619+0.270110.06510.278210.1657+0806510.1326+01651i0.0183+01638100002+01522i00729

24、+03279100688+03173101326+0I65li01303+06U2izO03602+1OllOi00122+02111i0-0.0276+0123710+003201-0.0000+0032010.0000+0.03201000.0000+00320x3.7800+5.2920i00+00320100.0122+0.21111000.0079*0.227810-0.0178*008611000000003201000000.0320102.82003872010-00276+0.1237i00-0.0178+0.0861i00.0102+01059ians=短路類型說明faul

25、t(f(1)=1.f(3)=2,f(2)=3,f(1,0=4)短路點(diǎn)的節(jié)點(diǎn)編號(hào)k=1短路類型fault=1ans=短路點(diǎn)正序負(fù)序和零序電流幅值和角度ans=0.65110.65110.6511ans=-74.6288-74.6288-74.6288ans=短路點(diǎn)A相短路電流幅值和角度ans=1.9621ans=-71.6288ans=節(jié)點(diǎn)編號(hào),節(jié)點(diǎn)正序仇序和零序電壓幅值和角度pUpDpP=1Up=0.86080.11110.7221Dp=-1.5359-170.6112176.3378P=1Up=0.88730.11390.1383Dp=-1.0151-172.0674-167.9478p=6

26、Up=0.89370.10780.0829Dp=-1.0805-171.0061-152.0449ans=支路。點(diǎn)編號(hào),正序、負(fù)序和零序電流幅值和角度mn=41ans=0.03660.03660.3711ans=-621159-62.1159-76.4811mn=61ans0.03160.2831ans=-65.9867-65.9867-72.2029短路類型fault：2ans=短路點(diǎn)正序負(fù)序和零序電流幅值和角度ans=4.625100ans=-81.017600ans=短路£6相短路電流幅值和角度ans=4.6251ans=-81.0176ans=節(jié)點(diǎn)編號(hào)，節(jié)點(diǎn)正序負(fù)序和零序電壓

27、幅值和角度pDpDpP=1Up=1.0e-015*0.414100Dp=18000P=iUp=0.196000Dp=5.991800p=6Up=0.237800Dp=1.266900ans=支路日點(diǎn)編號(hào)，正序、負(fù)序和零序電流幅值和箝度mn=11ans=0.258800ans=-71.80170mn=ans0.223300ans=-75.375500短路點(diǎn)的節(jié)點(diǎn)編號(hào)k=2短路類型fault：1ans=短路點(diǎn)正序負(fù)序和零序電流幅值和角度ans=1.25191.25191.2519ans=-83.6130-83.6130-83.6130ans=短路JAHI短路電流幅值和角度ans=3.7557ans

28、=-83.6130ans=節(jié)點(diǎn)編號(hào)，節(jié)點(diǎn)正序仇序和零序電壓幅值和角度pUpDpP=2Up=0.51990.18010.0101Dp=0.2444179.7353-173.6430P=3Up=0.80780.19770.0101Dp=-29526-167.8515-173.6430P=5Up=0.72450.27910.MOIDp=-3.1336-171.8502-173.6430ans=支路方點(diǎn)編號(hào)，正序、負(fù)序和零序電流幅值和角度mn=32ans=0.11380.11380.0000ans=-61.1380-61.138035.7022mn=52ans=0.11860.11860.0000an

29、s=-77.8323-77.8323119.1676短路類型fault：2ans=短路點(diǎn)正序負(fù)序和寫序電流幅值和角度ans=2.607600ans=-83.378300ans=短路力:A相短路電潮幅值和角度ans=2.6076ans=-83.3783ans=節(jié)點(diǎn)編號(hào)，節(jié)點(diǎn)正序負(fù)序和零序電壓幅值和角度pUpDpP=2Up=1.0e-015*0.223200Dp=-5.869300Up=0.601300Dp=-8.423500P=5Up=0.432800Dp=-11.347200ans=支路節(jié)點(diǎn)編號(hào)，正序、負(fù)序和零序電流幅值和角度win=32ans=0.237000ans=-63.87330052

30、ans=0.309100ans=-77.567700短路點(diǎn)的仃點(diǎn)編號(hào)k=3短路類型fault：1ans=短路點(diǎn)正序負(fù)序和零序電流幅值和角度ans=0.12630.12630.1263ans=-58.7711-58.7711-58.7711ans=短路點(diǎn)A相短路電流幅值和角度ans0.3789ans-58.7711ans=節(jié)點(diǎn)編號(hào)，節(jié)點(diǎn)正序負(fù)序和零序電壓幅值和角度pUpDpP=2Up=0.98110.01990.0010Dp=-0.6992-142.9796-118.7711P=3Up=0.91010.09560.8211Dp=-1.9430-161.1659175.6912P=4%=0.933

31、20.06980Dp=-1.1953-163.80100ans=支路節(jié)點(diǎn)編號(hào)，正序、負(fù)序和零序電流幅值和角度mn=23ans=0.03020.03020.1263ans=-41.2605-11.2605-58.7711mn=43ans=0.09800.09800ans=-61.0818-64.0848000000短路類4fault=2ans=短路點(diǎn)正序負(fù)序和寫序電流幅值和仰度ans=1.321100ans=-77.605200ans=短路口A相短路電流幅值和角度ans=1.3211ans=-77.6052ans=節(jié)點(diǎn)編號(hào),節(jié)點(diǎn)正序負(fù)序和零序電樂幅值和角度pDpDpP=2Up=0.80110Dp=-L6I480P=3Up=1.0e-015*0.44430Dp=-178.26210P=1Up=0.272