clear;
clc;
n=33;
m=32;
Isb=33;
pr=0.00001;
a=1;
k=1;
B1=[1 33 0.0922+0.0470i 0.000;
2 1 0.4930+0.2511i 0.000;
3 2 0.3660+0.1864i 0.000;
4 3 0.3811+0.1941i 0.000;
5 4 0.8190+0.7070i 0.000;
6 5 0.1872+0.6188i 0.000;
7 6 0.7114+0.2351i 0.000;
8 7 1.0300+0.7400i 0.000;
9 8 1.0440+0.7400i 0.000;
10 9 0.1966+0.0650i 0.000;
11 10 0.3744+0.1238i 0.000;
12 11 1.4680+1.1550i 0.000;
13 12 0.5416+0.7129i 0.000;
14 13 0.5910+0.5260i 0.000;
15 14 0.7463+0.5450i 0.000;
16 15 1.2890+1.7210i 0.000;
17 16 0.7320+0.5740i 0.000;
18 1 0.1640+0.1565i 0.000;
19 18 1.5042+1.3554i 0.000;
20 19 0.4095+0.4784i 0.000;
21 20 0.7089+0.9373i 0.000;
22 1 0.4512+0.3083i 0.000;%
23 22 0.8980+0.7091i 0.000;
24 23 0.8960+0.7011i 0.000;
25 5 0.2030+0.1034i 0.000;
26 25 0.2842+0.1447i 0.000;
27 26 1.0590+0.9337i 0.000;
28 27 0.8042+0.7006i 0.000;
29 28 0.5075+0.2585i 0.000;
30 29 0.9744+0.9630i 0.000;
31 30 0.3105+0.3619i 0.000;
32 31 0.3410+0.5302i 0.000;
7 20 2+2i 0.000;
8 14 2+2i 0.000;
11 21 2+2i 0.000;
17 32 0.5+0.5i 0.000;
24 28 0.5+0.5i 0.000 ];%支路阻抗
Y=zeros(n);
for i=1:37
p=B1(i,1);%首段节点
q=B1(i,2);%末端节点
Y(p,q)=Y(p,q)-1/(B1(i,3));
Y(q,p)=Y(p,q);
Y(p,p)=Y(p,p)+1/(B1(i,3));
Y(q,q)=Y(q,q)+1/(B1(i,3));%导纳矩阵
end
G=real(Y);
B=imag(Y);
B2=[ 1 0 0 0 -0.0010 -0.0006 1 0;
2 0 0 0 -0.0009 -0.0004 1 0;
3 0 0 0 -0.0012 -0.0008 1 0;
4 0 0 0 -0.0006 -0.0003 1 0;
5 0 0 0 -0.0006 -0.0002 1 0;
6 0 0 0 -0.0020 -0.0010 1 0;
7 0 0 0 -0.0020 -0.0010 1 0;
8 0 0 0 -0.0006 -0.0002 1 0;
9 0 0 0 -0.0006 -0.0002 1 0;
10 0 0 0 -0.00045 -0.0003 1 0;
11 0 0 0 -0.0006 -0.00035 1 0;
12 0 0 0 -0.0006 -0.00035 1 0;
13 0 0 0 -0.0012 -0.0008 1 0;
14 0 0 0 -0.0006 -0.0001 1 0;
15 0 0 0 -0.0006 -0.0002 1 0;
16 0 0 0 -0.0006 -0.0002 1 0;
17 0 0 0 -0.0009 -0.0004 1 0;
18 0 0 0 -0.0009 -0.0004 1 0;
19 0 0 0 -0.0009 -0.0004 1 0;
20 0 0 0 -0.0009 -0.0004 1 0;
21 0 0 0 -0.0009 -0.0004 1 0;
22 0 0 0 -0.0009 -0.0005 1 0;
23 0 0 0 -0.0042 -0.0020 1 0;
24 0 0 0 -0.0042 -0.0020 1 0;
25 0 0 0 -0.0006 -0.00025 1 0;
26 0 0 0 -0.0006 -0.00025 1 0;
27 0 0 0 -0.0006 -0.0002 1 0;
28 0 0 0 -0.0012 -0.0007 1 0;
29 0 0 0 -0.0020 -0.0060 1 0;
30 0 0 0 -0.0015 -0.0007 1 0;
31 0 0 0 -0.0021 -0.0010 1 0;
32 0 0 0 0.00266 0.0009 1 0;
33 -1 0 0 0 0 1 0];
e=zeros(n,1);
f=zeros(n,1);
dP=zeros(n-1,1);
dQ=zeros(n-1,1);
Ps=zeros(n,1);
Qs=zeros(n,1);%定义矩阵
for i=1:n
e(i,1)=B2(i,7);
f(i,1)=B2(i,8);
Ps(i)=B2(i,5);
Qs(i)=B2(i,6);
end
while a>pr
Pi=zeros(n-1,1);
Qi=zeros(n-1,1);
E=zeros(n-1,1);
F=zeros(n-1,1);
for i=1:n-1
for j=1:n
Pi(i)=Pi(i)+e(i)*(G(i,j)*e(j)-B(i,j)*f(j))+f(i)*(G(i,j)*f(j)+B(i,j)*e(j));
Qi(i)=Qi(i)+f(i)*(G(i,j)*e(j)-B(i,j)*f(j))-e(i)*(G(i,j)*f(j)+B(i,j)*e(j));
end
dP(i)=Ps(i)-Pi(i);
dQ(i)=Qs(i)-Qi(i);
end
jacobi=zeros(64,64);
A=zeros(n-1,1);
S=zeros(n-1,1);
for i=1:n-1
for j=1:n
A(i)=A(i)+G(i,j)*e(j)-B(i,j)*f(j);
S(i)=S(i)+G(i,j)*f(j)+B(i,j)*e(j);
end
end
for i=1:n-1
for j=1:n-1
if i~=j
jacobi(2*i-1,2*j-1)=0-G(i,j)*e(i,1)-B(i,j)*f(i,1);
jacobi(2*i-1,2*j)=B(i,j)*e(i,1)-G(i,j)*f(i,1);
jacobi(2*i,2*j-1)=B(i,j)*e(i,1)-G(i,j)*f(i,1);
jacobi(2*i,2*j)=G(i,j)*e(i,1)+B(i,j)*f(i,1);
else
jacobi(2*i-1,2*j-1)=0-A(i)-G(i,i)*e(i)-B(i,i)*f(i);
jacobi(2*i-1,2*j)=0-S(i)+B(i,i)*e(i)-G(i,i)*f(i);
jacobi(2*i,2*j-1)=S(i)+B(i,i)*e(i)-G(i,i)*f(i);
jacobi(2*i,2*j)=0-A(i)+G(i,i)*e(i)+B(i,i)*f(i);
end
end
end
dW=zeros(2*n-2,1);
for i=1:n-1
dW(2*i-1)=dP(i);
dW(2*i)=dQ(i);
end
dV=-inv(jacobi)*dW;
de=zeros(n-1,1);
df=zeros(n-1,1);
for i=1:n-1
de(i)=dV(2*i-1);
df(i)=dV(2*i);
end
for i=1:n-1
e(i)=e(i)+de(i);
f(i)=f(i)+df(i);
end
a=max(max(abs(dP)),max(abs(dQ)));
k=k+1;
end
V=zeros(n,1);
for i=1:n
V(i)=e(i)+sqrt(-1)*f(i);
end
disp('节点电压V=');
disp(V);
disp(real(V));
I=zeros(37,1);
U=zeros(37,1);
R1=zeros(37,1);
for i=1:37
p1=B1(i,1);
q1=B1(i,2);
U(i)=V(q1)-V(p1);
R1(i,1)=real(B1(i,3));
I(i)=abs(U(i)/R1(i,1));
end
disp(I);
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