電力系統(tǒng)不對稱故障計算的Matlab算法程序

1、NF=1;for i1=1:NFclear;n1=9; n2=9;n0=9;nl1=15; nl2=15;nl0=15;Lf=input('請輸入短路類型 （單相接地短路輸入1，兩相短路輸入2，兩相短路接地輸入3）:Lf=');f=7;If=0;zf=0;zg=0;B1= 0 1 0.0553i 0 1 0 ; 0 2 0.1228i 0 1 0; 0 3 0.1785i 0 1 0 ; 1 4 0.0476i 0 1.050 0; 0 5 0.6514-0.2413i 0 1 0; 0 6 0.9174-0.2752i 0 1 0; 2 7 0.0474i 0 1.025 0

2、; 0 8 1.0492-0.4590i 0 1 0 ; 3 9 0.0484i 0 1.025 0; 4 5 0.0854i 0 1 1; 4 6 0.0907i 0 1 1; 5 7 0.1248i 0 1 1; 6 9 0.1255i 0 1 1; 7 8 0.0696i 0 1 1; 8 9 0.0922i 0 1 1;B2=0 1 0.0553i 0 1 0 ; 0 2 0.1228i 0 1 0; 0 3 0.1785i 0 1 0 ; 1 4 0.0476i 0 1.050 0; 0 5 0.6514-0.2413i 0 1 0; 0 6 0.9174-0.2752i 0 1 0

3、; 2 7 0.0474i 0 1.025 0; 0 8 1.0492-0.4590i 0 1 0 ; 3 9 0.0484i 0 1.025 0; 4 5 0.0854i 0 1 1; 4 6 0.0907i 0 1 1; 5 7 0.1248i 0 1 1; 6 9 0.1255i 0 1 1; 7 8 0.0696i 0 1 1; 8 9 0.0922i 0 1 1;B0=0 1 0.0001 0 1 0 ; 0 2 0.0001 0 1 0; 0 3 0.0001 0 1 0 ; 1 4 0.0476i 0 1.050 0; 0 5 0.6514-0.2413i 0 1 0; 0 6

4、0.9174-0.2752i 0 1 0; 2 7 0.0474i 0 1.025 0; 0 8 1.0492-0.4590i 0 1 0 ; 3 9 0.0484i 0 1.025 0; 4 5 0.0854i*3 0 1 1; 4 6 0.0907i*3 0 1 1; 5 7 0.1248i*3 0 1 1; 6 9 0.1255i*3 0 1 1; 7 8 0.0696i*3 0 1 1; 8 9 0.0922i*3 0 1 1;A1=1 1 1;1 -1./2-i*sqrt(3)/2 -1./2+i*sqrt(3)/2;1 -1./2+i*sqrt(3)/2 -1./2-i*sqrt(

5、3)/2;Vcs=1.0000;1.0000;1.0000;1.0346;1.0090;1.0139;1.0284;1.0043;1.0212;Z1=zeros(n1);Z2=zeros(n2);Z0=zeros(n0);Y1=zeros(n1);Y2=zeros(n2);Y0=zeros(n0);V1=zeros(n1,1); V2=zeros(n2,1);V0=zeros(n0,1);I1=zeros(nl1,1);I2=zeros(nl2,1);I0=zeros(nl0,1);for m1=1:3 m=0; if m1=1 nl=nl1;B=B1;Z=Z1;n=n1; elseif m1

6、=2 nl=nl2;B=B2;Z=Z2;n=n2; elseif m1=3 nl=nl0;B=B0;Z=Z0;n=n0; end m=0;Z=zeros(n);V=zeros(n);I=zeros(nl);for k1=1:nl p=B(k1,1);q=B(k1,2); if B(k1,6)=0 k = 1./B(k1,5); else k=B(k1,5); end if p=0 if q>m Z(q,q)=B(k1,3);m=m+1; else for i=1:m Z(i,m+1)=-Z(i,q);Z(m+1,i)=-Z(q,i); end Z(m+1,m+1)=Z(q,q)+B(k1

7、,3); for i=1:m for j=1:m Z(i,j)=Z(i,j)-Z(i,m+1)*Z(m+1,j)./Z(m+1,m+1); end Z(i,m+1)=0; end for i=1:m+1 Z(m+1,i)=0; endendelse if q>m for i=1:m Z(i,q)=Z(i,p)*k;Z(q,i)=Z(p,i)*k; end Z(q,q)=k2*Z(p,p)+k2*B(k1,3); m=m+1;else for i=1:m Z(i,m+1)=k*Z(i,p)-Z(i,q); Z(m+1,i)=k*Z(p,i)-Z(q,i); endZ(m+1,m+1)=k2

8、*Z(p,p)+Z(q,q)-2*k*Z(p,q)+k2*B(k1,3); for i=1:m for j=1:mZ(i,j)=Z(i,j)-Z(i,m+1)*Z(m+1,j)./Z(m+1,m+1); end Z(i,m+1)=0; end for i=1:m+1 Z(m+1,i)=0; end end endendif m1=1 Z1=Z;elseif m1=2 Z2=Z; elseif m1=3 Z0=Z; endendif If=0 Z1(f,f)=Z1(f,f); Z2(f,f)=Z2(f,f); Z0(f,f)=Z0(f,f);else Z1(f,f)=Z1(f,f)+Z1(1,1

9、)-2*Z1(f,1); Z2(f,f)=Z2(f,f)+Z2(1,1)-2*Z2(f,1); Z0(f,f)=Z0(f,f)+Z0(1,1)-2*Z0(f,1);endif Lf=1 Z4=Z2(f,f)+Z0(f,f)+3*zf; k2=1;k0=1; I1(f)=Vcs(f)./(Z1(f,f)+Z4); I2(f)=k2*I1(f); I0(f)=k0*I1(f);a1=I1(f); a2=I2(f);a0=I0(f); elseif Lf=2 Z4=Z2(f,f)+2*zf; k2=-1;k0=0; I1(f)=Vcs(f)./(Z1(f,f)+Z4); I2(f)=k2*I1(f)

10、; I0(f)=k0*I1(f);a1=I1(f); a2=I2(f);a0=I0(f); elseif Lf=3 Z4=zf+(Z2(f,f)+zf)*(Z0(f,f)+zf+3*zg)./(Z2(f,f)+Z0(f,f)+2*zf+3*zg); k2=-(Z0(f,f)+zf+3*zg)./(Z2(f,f)+Z0(f,f)+2*zf+3*zg); k0=-(Z2(f,f)+zf)./(Z2(f,f)+Z0(f,f)+2*zf+3*zg); I1(f)=Vcs(f)./(Z1(f,f)+Z4); I2(f)=k2*I1(f); I0(f)=k0*I1(f); a1=I1(f); a2=I2(

11、f);a0=I0(f); elseif Lf=4 Z4=zf+(Z2(f,f)+zf)*(Z0(f,f)+zf)./(Z2(f,f)+Z0(f,f)+2*zf); k2=-(Z0(f,f)+zf)./(Z2(f,f)+Z0(f,f)+2*zf); k0=-(Z2(f,f)+zf)./(Z2(f,f)+Z0(f,f)+2*zf); I1(f)=Vcs(f)./(Z1(f,f)+Z4); I2(f)=k2*I1(f); I0(f)=k0*I1(f); a1=I1(f); a2=I2(f);a0=I0(f); elseif Lf=5 Z4=Z2(f,f)+Z0(f,f)+3*zf; k2=1; k0

12、=1; I1(f)=Vcs(f)./(Z1(f,f)+Z4); I2(f)=k2*I1(f); I0(f)=k0*I1(f); a1=I1(f); a2=I2(f);a0=I0(f); end disp('故障點處的正序電流標幺值為：'); disp(a1); disp('故障點處的負序電流標幺值為：'); disp(a2); disp('故障點處的零序電流標幺值為：'); disp(a0); for i=1:n1 V1(i)=Vcs(i)-I1(f)*Z1(i,f); end for i=1:n2 V2(i)=-I2(f)*Z2(i,f); e

13、nd for i=1:n0 V0(i)=-I0(f)*Z0(i,f); end disp('各節(jié)點的正序電壓標幺值為（節(jié)點號從小到大排）：'); disp(V1); disp('各節(jié)點的負序電壓標幺值為（節(jié)點號從小到大排）：'); disp(V2); disp('各節(jié)點的零序電壓標幺值為（節(jié)點號從小到大排）：'); disp(V0); for i=1:3 if i=1 B=B1;V=V1;nl=nl1; elseif i=2 B=B2;V=V2;nl=nl2; elseif i=3 B=B0;V=V0;nl=nl0; end for j=1:nl

14、 if B(j,6)=0 k=B(j,5); else k=1./B(j,5); end p=B(j,1);q=B(j,2); if p=0 e=0;b=B(j,3); I(j)=(e-V(q)./k)./b; else I(j)=(V(p)-V(q)./k)./B(j,3); end end if i=1 I1=I; elseif i=2 I2=I; elseif i=3 I0=I; end end disp('各支路的正序電流標幺值為（順序同您輸入B時一樣）;'); for i=1:nl disp(I1(i); end disp('各支路的負序電流標幺值為（順序同您

15、輸入B時一樣）;'); for i=1:nl disp(I2(i); end disp('各支路的零序電流標幺值為（順序同您輸入B時一樣）;'); for i=1:nl disp(I0(i); end for i=1:3 if i=1 s0=a0;s1=a1;s2=a2; elseif i=2 s0=V0;s1=V1;s2=V2; else s0=I0;s1=I1;s2=I2; end for j=1:3 CA=s0*A1(j,1)+s1*A1(j,2)+s2*A1(j,3); if j=1 A=CA; elseif j=2 B=CA; elseif j=3 C=CA;

16、 end end if i=1 Iadl=A;Ibdl=B;Icdl=C; elseif i=2 Vajy=A;Vbjy=B;Vcjy=C; else Iazl=A;Ibzl=B;Iczl=C; end end disp('故障點處A相電流Iadl為：'); disp(Iadl); disp('故障點處B相電流Ibdl為：'); disp(Ibdl); disp('故障點處C相電流Icdl為：'); disp(Icdl); disp('各節(jié)點處A相電壓Vajy分別為(節(jié)點號從小到大排）：'); disp(Vajy); disp('各節(jié)點處B相電壓Vbjy分別為(節(jié)點號從小到大排）：'); disp(Vbjy); disp('各節(jié)點處C相電壓