电力系统分析MATLAB潮流计算计算程序

% 本程序的功能是用PQ分解法进行潮流计算 clc;clear;close n=5; nl=5; isb=1; pr=0.00001; B1=[1 2 0.03i 0 1.05 0;2 3 0.08+0.3i 0.5i 1 0;2 4 0.1+0.35i 0 1 0;3 4 0.04+0.25i 0.5i 1 0;3 5 0.015i 0 1.05 1]; B2=[0 0 1.05 1.05 0 1;0 3.7+1.3i 1.05 0 0 2;0 2+1i 1.05 0 0 2;0 1.6+0.8i 1.05 0 0 2;5 0 1.05 1.05 0 3]; X=[1 0;2 0;3 0;4 0;5 0]; na=3; Y=zeros(n);YI=zeros(n);e=zeros(1,n);f=zeros(1,n);V=zeros(1,n);O=zeros(1,n); for i=1:n if X(i,2)~=0; p=X(i,1); Y(p,p)=1./X(i,2); end end for i=1:nl if B1(i,6)==0 p=B1(i,1);q=B1(i,2); else p=B1(i,2);q=B1(i,1); end Y(p,q)=Y(p,q)-1./(B1(i,3)*B1(i,5)); YI(p,q)=YI(p,q)-1./B1(i,3); Y(q,p)=Y(p,q); YI(q,p)=YI(p,q); Y(q,q)=Y(q,q)+1./(B1(i,3)*B1(i,5)^2)+B1(i,4)./2; YI(q,q)=YI(q,q)+1./B1(i,3); Y(p,p)=Y(p,p)+1./B1(i,3)+B1(i,4)/2; YI(p,p)=YI(p,p)+1./B1(i,3); end %求导纳矩阵 G=real(Y);B=imag(YI);BI=imag(Y); for i=1:n S(i)=B2(i,1)-B2(i,2); BI(i,i)=BI(i,i)+B2(i,5); end P=real(S);Q=imag(S); for i=1:n e(i)=real(B2(i,3)); f(i)=imag(B2(i,3)); V(i)=B2(i,4); end for i=1:n if B2(i,6)==2 V(i)=sqrt(e(i)^2+f(i)^2); O(i)=atan(f(i)./e(i)); end end for i=2:n if i==n B(i,i)=1./B(i,i); else IC1=i+1; for j1=IC1:n B(i,j1)=B(i,j1)./B(i,i); end B(i,i)=1./B(i,i); for k=i+1:n for j1=i+1:n B(k,j1)=B(k,j1)-B(k,i)*B(i,j1); end end end end p=0;q=0; for i=1:n if B2(i,6)==2 p=p+1;k=0; for j1=1:n if B2(j1,6)==2 k=k+1; A(p,k)=BI(i,j1); end end end end for i=1:na if i==na A(i,i)=1./A(i,i); else k=i+1; for j1=k:na A(i,j1)=A(i,j1)./A(i,i);%%%%%% end A(i,i)=1./A(i,i); for k=i+1:na for j1=i+1:na A(k,j1)=A(k,j1)-A(k,i)*A(i,j1); end end end end ICT2=1;ICT1=0;kp=1;kq=1;K=1;DET=0;ICT3=1; while ICT2~=0|ICT3~=0 ICT2=0;ICT3=0; for i=1:n if i~=isb C(i)=0; for k=1:n C(i)=C(i)+V(k)*(G(i,k)*cos(O(i)-O(k))+BI(i,k)*sin(O(i)-O(k))); end DP1(i)=P(i)-V(i)*C(i);%%%%% DP(i)=DP1(i)./V(i); DET=abs(DP1(i)); if DET>=pr ICT2=ICT2+1; end end end Np(K)=ICT2; if ICT2~=0 for i=2:n DP(i)=B(i,i)*DP(i); if i~=n IC1=i+1; for k=IC1:n DP(k)=DP(k)-B(k,i)*DP(i); end else for LZ=3:i L=i+3-LZ; IC4=L-1; for MZ=2:IC4 I=IC4+2-MZ; DP(I)=DP(I)-B(I,L)*DP(L);%%%%%% end end end end for i=2:n O(i)=O(i)-DP(i); end kq=1;L=0; for i=1:n if B2(i,6)==2 C(i)=0;L=L+1; for k=1:n C(i)=C(i)+V(k)*(G(i,k)*sin(O(i)-O(k))-BI(i,k)*cos(O(i)-O(k))); end DQ1(i)=Q(i)-V(i)*C(i); DQ(L)=DQ1(i)./V(i); DET=abs(DQ1(i)); if DET>=pr ICT3=ICT3+1; end end end else kp=0; if kq~=0; L=0; for i=1:n if B2(i,6)==2 C(i)=0;L=L+1; for k=1:n C(i)=C(i)+V(k)*(G(i,k)*sin(O(i)-O(k))-BI(i,k)*cos(O(i)-O(k))); end DQ1(i)=Q(i)-V(i)*C(i); DQ(L)=DQ1(i)./V(i); DET=abs(DQ1(i)); end end end end Nq(K)=ICT3; if ICT3~=0 L=0; for i=1:na DQ(i)=A(i,i)*DQ(i); if i==na for LZ=2 L=i+2-LZ; IC4=L-1; for MZ=1:IC4 I=IC4+1-MZ; DQ(I)=DQ(I)-A(I,L)*DQ(L); end end else IC1=i+1; for k=IC1:na DQ(k)=DQ(k)-A(k,i)*DQ(i); end end end L=0; for i=1:n if B2(i,6)==2 L=L+1; V(i)=V(i)-DQ(L); end end kp=1; K=K+1; else kq=0; if kp~=0 K=K+1; end end for i=1:n Dy(K-1,i)=V(i); end end disp('迭代次数'); disp(K); disp('每次没有到达精度要求的有功功率个数为'); disp(Np); disp('每次没有达到精度要求的无功功率个数为'); disp(Nq); for k=1:n E(k)=V(k)*cos(O(k))+V(k)*sin(O(k))*j; O(k)=O(k)*180./pi; end disp('各节点的电压标幺值E为（节点号从小到大排）:'); disp(E); disp('各节点的电压U大小(节点号从小到大排)为:'); disp(V); disp('各节点的电压相角O（节点号从小到大排）:'); disp(O); for p=1:n C(p)=0; for q=1:n C(p)=C(p)+conj(Y(p,q))*conj(E(q)); end S(p)=E(p)*C(p); end disp('各节点的功率S（节点号从小到大排）为:'); disp(S); disp('各支路的首段功率Si(顺序同您输入B1时一样）为:'); for i=1:nl if B1(i,6)==0 p=B1(i,1);q=B1(i,2); else p=B1(i,2);q=B1(i,1); end Si(p,q)=E(p)*(conj(E(p))*conj(B1(i,4)./2)+(conj(E(p)*B1(i,5))-conj(E(q)))*conj(1./(B1(i,3)*B1(i,5)))); disp(Si(p,q)); end disp('各条支路的末端功率Sj（顺序同您输入B1时一样）为:'); for i=1:nl if B1(i,6)==0 p=B1(i,1);q=B1(i,2); else p=B1(i,2);q=B1(i,1); end Sj(q,p)=E(q)*(conj(E(q))*conj(B1(i,4)./2)+(conj(E(q)./B1(i,5))-conj(E(p)))*conj(1./(B1(i,3)*B1(i,5)))); disp(Sj(q,p)); end disp('各条支路的功率损耗DS（顺序同您输入B1时一样）为:'); for i=1:nl if B1(i,6)==0 p=B1(i,1);q=B1(i,2); else p=B1(i,2);q=B1(i,1); end DS(i)=Si(p,q)+Sj(q,p); disp(DS(i)); end for i=1:K Cs(i)=i; for j=1:n Dy(K,j)=Dy(K-1,j); end end disp('以下是每次迭代后各节点的电压值(如图所示)'); plot(Cs,Dy),xlabel('迭代次数'),ylabel('电压'),title('电压迭代次数曲线');