# 牛顿拉夫逊法.rar

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• 2018-05-11 00:30
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• 潮流计算.m
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%本程序的功能是用牛顿-拉夫逊法进行潮流计算 n=input('请输入节点数:n='); nl=input('请输入支路数:nl='); isb=input('请输入平衡母线节电号:isb='); pr=input('请输入误差精度:pr='); B1=input('请输入由支路参数形成的矩阵:B1=');%变压器侧为1，否则为0 B2=input('请输入各节点参数形成的矩阵:B2='); X=input('请输入由节点号及其对地阻抗形成的矩阵:X='); Y=zeros(n);U=zeros(1,n);cta=zeros(1,n);V=zeros(1,n);O=zeros(1,n);S1=zeros(nl); for i=1:n if X(i,2)~=0; p=X(i,1); Y(p,p)=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)); Y(q,p)=Y(p,q); Y(q,q)=Y(q,q)+1./(B1(i,3)*B1(i,5)^2)+B1(i,4)./2; Y(p,p)=Y(p,p)+1./B1(i,3)+B1(i,4)./2; end %求导纳矩阵 G=real(Y);B=imag(Y); for i=1:n cta(i)=angle(B2(i,3)); U(i)=abs(B2(i,3)); %V(i)=B2(i,4); end for i=1:n S(i)=B2(i,1)-B2(i,2); B(i,i)=B(i,i)+B2(i,5); end P=real(S);Q=imag(S); ICT1=0;IT2=1; while IT2~=0 IT2=0;t1=1;t2=1; for i=1:n if i~=isb C(i)=0; D(i)=0; for j1=1:n C(i)=C(i)+U(i)*U(j1)*(G(i,j1)*cos(cta(i)-cta(j1))+B(i,j1)*sin(cta(i)-cta(j1))); D(i)=D(i)+U(i)*U(j1)*(G(i,j1)*sin(cta(i)-cta(j1))-B(i,j1)*cos(cta(i)-cta(j1))); end DP(t1)=P(i)-C(i); t1=t1+1; if B2(i,6)==2 DQ(t2)=Q(i)-D(i); t2=t2+1; end end end t1=t1-1;t2=t2-1; DPQ=[DP';DQ']; %求DP,DQ for i=1:t1+t2 if abs(DPQ(i))>pr IT2=IT2+1; end end H=zeros(t1,t1);N=zeros(t1,t2);K=zeros(t2,t1);L=zeros(t2,t2); for i=1:t1 for j1=1:t1 if j1~=isb&j1~=i H(i,j1)=0-U(i)*U(j1)*(G(i,j1)*sin(cta(i)-cta(j1))-B(i,j1)*cos(cta(i)-cta(j1))); elseif j1~=isb&j1==i H(i,j1)=U(i)^2*B(i,j1)+D(i); end end end for i=1:t1 for j1=1:t2 if j1~=isb&j1~=i N(i,j1)=0-U(i)*U(j1)*(G(i,j1)*cos(cta(i)-cta(j1))+B(i,j1)*sin(cta(i)-cta(j1))); elseif j1~=isb&j1==i N(i,j1)=0-U(i)^2*G(i,j1)-C(i); end end end for i=1:t2 for j1=1:t1 if j1~=isb&j1~=i K(i,j1)= U(i)*U(j1)*(G(i,j1)*cos(cta(i)-cta(j1))+B(i,j1)*sin(cta(i)-cta(j1))); elseif j1~=isb&j1==i K(i,j1)=U(i)^2*G(i,j1)-C(i); end end end for i=1:t2 for j1=1:t2 if j1~=isb&j1~=i L(i,j1)=0-U(i)*U(j1)*(G(i,j1)*sin(cta(i)-cta(j1))-B(i,j1)*cos(cta(i)-cta(j1))); elseif j1~=isb&j1==i L(i,j1)=U(i)^2*B(i,j1)-D(i); end end end J=[H,N;K,L];%求雅可比矩阵 modify=-J\DPQ; Dcta=modify([1:t1],:); t3=U(:,[1:t2]); DU=diag(t3,0)*modify([t1+1:t1+t2],:); t4=1; for i=1:t1 if B2(i,6)~=1 cta(1,i)=cta(1,i)+Dcta(t4,1); t4=t4+1; end end t5=1; for i=1:t2 if B2(i,6)==2 U(1,i)=U(1,i)+DU(t5,1); t5=t5+1; end end ICT1=ICT1+1; end %修正原值 for i=1:n UU(i)=U(i)*cos(cta(i))+1i*U(i)*sin(cta(i)); end for p=1:n c(p)=0; for q=1:n c(p)=c(p)+conj(Y(p,q))*conj(UU(q)); end s(p)=UU(p)*c(p); end disp('--------------------------------------------------------------------------------'); disp('各节点电压U为（节点从小到大排列）:'); disp(UU); disp('--------------------------------------------------------------------------------'); disp('各节点电压相角为（节点从小到大排列）:'); disp(180*angle(UU)/pi); disp('--------------------------------------------------------------------------------'); disp('按公式计算全部线路功率，结果如下:'); 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)=UU(p)*(conj(UU(p))*conj(B1(i,4)./2)+(conj(UU(p)*B1(i,5))-conj(UU(q)))*conj(1./(B1(i,3)*B1(i,5))));%各条支路首端功率Si f=[p,q,Si(p,q)]; disp(f); 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 Sj(q,p)=UU(q)*(conj(UU(q))*conj(B1(i,4)./2)+(conj(UU(q)./B1(i,5))-conj(UU(p)))*conj(1./(B1(i,3)*B1(i,5))));%各条支路末端功率Sj f=[q,p,Sj(q,p)]; disp(f); end disp('--------------------------------------------------------------------------------'); disp('各条支路的功率损耗DS为(顺序同您输入B1时一样):'); 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);%各条支路功率损耗DS disp(DS(i)); end Sp=0; for i=1:n Sp=Sp+UU(isb)*conj(Y(isb,i))*conj(UU(i)); end disp('平衡节点的功率:'); disp(Sp);

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