牛拉法潮流計算

1、牛拉法潮流計算%本程序的功能是用牛拉法進(jìn)行潮流計算原理介紹詳見鞠平著電氣工程%默認(rèn)數(shù)據(jù)為鞠平著電氣工程例8.4所示數(shù)據(jù)土是支路參數(shù)矩陣%第一列和第二列是節(jié)點(diǎn)編號。節(jié)點(diǎn)編號由小到大編寫%對于含有變壓器的支路，第一列為低壓側(cè)節(jié)點(diǎn)編號，第二列為高壓側(cè)節(jié)點(diǎn)編號第 三列為支路的串列阻抗參數(shù)，含變壓器支路此值為變壓器短路電抗第四列為支路的對地 導(dǎo)納參數(shù)，含變壓器支路此值不代入計算第五烈為含變壓器支路的變壓器的變比，變壓 器非標(biāo)準(zhǔn)電壓比%第六列為變壓器是否是否含有變壓器的參數(shù)，其中“ 1”為含有變壓器，“0”為不 含有變壓器2為節(jié)點(diǎn)參數(shù)矩陣%第一列為節(jié)點(diǎn)注入發(fā)電功率參數(shù)第二列為節(jié)點(diǎn)負(fù)荷功率參數(shù)第三列為節(jié)點(diǎn)電

2、壓 參數(shù) %第四列 %第五列%第六列為節(jié)點(diǎn)類型參數(shù)，“1”為平衡節(jié)點(diǎn)，“2”為PQ節(jié)點(diǎn)，“3”為PV節(jié)點(diǎn)參數(shù)%乂為節(jié)點(diǎn)號和對地參數(shù)矩陣第一列為節(jié)點(diǎn)編號第二列為節(jié)點(diǎn)對地參數(shù)clear; clc;num=input（是否采用默認(rèn)數(shù)據(jù)？（1-默認(rèn)數(shù)據(jù);2-手動輸入）； if num=1 n=4; n1=4; isb=4;pr=0.00001;B1=1 2 0.1667i 0 0.8864 1;1 3 0.1302+0.2479i 0.0258i 1 0;1 4 0.1736+0.3306i 0.0344i 1 0;3 4 0.2603+0.4959i 0.0518i 1 0;B2=0 0 1 0 0

3、 2;0 -0.5-0.3i 1 0 0 2;0.2 0 1.05 0 0 3;0 -0.15-0.1i 1.05 0 0 1;X=1 0;2 0.05i;3 0;4 0; elsen=input（請輸入節(jié)點(diǎn)數(shù):n=）;n1=input（請輸入支路數(shù):n1=）;isb=input（請輸入平衡節(jié)點(diǎn)號:isb=）;pr=input（請輸入誤差精度:pr=）;B1=input（請輸入支路參數(shù):B1=）;B2=input（請輸入節(jié)點(diǎn)參數(shù):B2=）;X=input（節(jié)點(diǎn)號和對地參數(shù):X=）; endTimes=1; %迭代次數(shù)%創(chuàng)建節(jié)點(diǎn)導(dǎo)納矩陣Y=zeros(n); for i=1:n1if B1(i,

4、6)=0 %不含變壓器的支路p=B1(i,1);q=B1(i,2);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)+0.5*B1(i,4);Y(q,q)=Y(q,q)+1/B1(i,3)+0.5*B1(i,4); else %含有變壓器的支路 p=B1(i,1);q=B1(i,2);Y(p,q)=Y(p,q)-B1(i,5)/B1(i,3);Y(q,p)=Y(p,q);Y(p,p)=Y(p,p)+B1(i,5)/B1(i,3) + (1-B1(i,5)/B1(i,3);Y(q,q)=Y(q,q)+B1(i,5)/B1(

5、i,3) + (B1(i,5)*(B1(i,5)-1)/B1(i,3); end endfor i=1:n1Y(i,i)=Y(i,i)+X(i,2); %計及補(bǔ)償電容電納 enddisp(導(dǎo)納矩陣為：)；disp(Y);%顯示導(dǎo)納矩陣%初始化 OrgS、DetaS OrgS=zeros(2*n-2,1); DetaS=zeros(2*n-2,1);%創(chuàng)建OrgS，用于存儲初始功率參數(shù)h=0; j=0;for i=1:n %對？。節(jié)點(diǎn)的處理if i=isb&B2(i,6)=2%不是平衡點(diǎn)&是 PQ 點(diǎn)h=h+1;forj=1:n%公式8-74%Pi=ei*(Gij*ej-Bij*fj)+fi*(

6、Gij*fj+Bij*ej)%Qi=fi*(Gij*ej-Bij*fj)-ei*(Gij*fj+Bij*ej)OrgS(2*h-1,1)=OrgS(2*h-1,1)+real(B2(i,3)*(real(Y(i,j)*real(B2(j,3)- imag(Y(i,j)*imag(B2(j,3)+imag(B2(i,3)*(real(Y(i,j)*imag(B2(j,3)+imag(Y(i ,j)*real(B2(j,3);OrgS(2*h,1)=0rgS(2*h,1)+imag(B2(i,3)*(real(Y(i,j)*real(B2(j,3)- imag(Y(i,j)*imag(B2(j,3

7、)- real(B2(i,3)*(real(Y(i,j)*imag(B2(j,3)+imag(Y(i,j)*real(B2(j,3); end endendfor i=1:n %對PV節(jié)點(diǎn)的處理，注意這時不可再將h初始化為0ifi=isb&B2(i,6)=3 %不是平衡點(diǎn)&是 PV 點(diǎn)h=h+1;for j=1:n%公式 8-75-a%Pi=ei*(Gij*ej-Bij*fj)+fi*(Gij*fj+Bij*ej)%Qi=fi*(Gij*ej-Bij*fj)-ei*(Gij*fj+Bij*ej)OrgS(2*h-1,1)=OrgS(2*h-1,1)+real(B2(i,3)*(real(Y(i

8、,j)*real(B2(j,3)- imag(Y(i,j)*imag(B2(j,3)+imag(B2(i,3)*(real(Y(i,j)*imag(B2(j,3)+imag(Y(i ,j)*real(B2(j,3);OrgS(2*h,1)=OrgS(2*h,1)+imag(B2(i,3)*(real(Y(i,j)*real(B2(j,3)- imag(Y(i,j)*imag(B2(j,3)- real(B2(i,3)*(real(Y(i,j)*imag(B2(j,3)+imag(Y(i,j)*real(B2(j,3); end end end%創(chuàng)建PVU用于存儲PV節(jié)點(diǎn)的初始電壓PVU=zer

9、os(n-h-1,1); t=0; for i=1:nif B2(i,6)=3t=t+1;PVU(t,1)=B2(i,3);end end%創(chuàng)建DetaS，用于存儲有功功率、無功功率和電壓幅值的不平衡量h=0;for i=1:n %對 PQ 節(jié)點(diǎn)的處理 if i=isb&B2(i,6)=2h=h+1;DetaS(2*h-1,1)=real(B2(i,2)-OrgS(2*h-1,1); TlPiDetaS(2*h,1)=imag(B2(i,2)-OrgS(2*h,1); TlQi end end t=0;for i=1:n %對PV節(jié)點(diǎn)的處理，注意這時不可再將h初始化為0ifi=isb&B2(i

10、,6)=3h=h+1;t=t+1;DetaS(2*h-1,1)=real(B2(i,1)-OrgS(2*h-1,1); TlPiDetaS(2*h,1)=real(PVU(t,1)廣2+imag(PVU(t,1)2-real(B2(i,3)2-imag(B2(i,3)*2; TlUi end end % DetaS%創(chuàng)建I,用于存儲節(jié)點(diǎn)電流參數(shù)i=zeros(n-1,1); h=0; for i=1:n if i=isbh=h+1;I(h,1) = (OrgS(2*hT,1)-OrgS(2*h,1)*sqrt(T)/conj(B2(i,3);%conj 求共軛 end end%創(chuàng)建 Jacbi

11、(雅可比矩陣)Jacbi=zeros(2*n-2); h=0; k=0;for i=1:n %對 PQ 節(jié)點(diǎn)的處理 if B2(i,6)=2h=h+1;forj=1:nif j=isbk=k+1;if i=j %對角元素的處理Jacbi(2*h-1,2*k-1)=-imag(Y(i,j)*real(B2(i,3)+real(Y(i,j)*imag(B2(i,3)+imag(I(h,1);Jacbi(2*h- 1,2*k)=real(Y(i,j)*real(B2(i,3)+imag(Y(i,j)*imag(B2(i,3)+real(I(h,1); Jacbi(2*h,2*k-1)=-Jacbi(

12、2*h-1,2*k)+2*real(I(h,1);Jacbi(2*h,2*k)=Jacbi(2*hT,2*kT)-2*imag(I(h,1);else %非對角元素的處理Jacbi(2*hT,2*kT)=-imag(Y(i,j)*real(B2(i,3)+real(Y(i,j)*imag(B2(i,3);Jacbi(2*h-1,2*k)=real(Y(i,j)*real(B2(i,3)+imag(Y(i,j)*imag(B2(i,3);Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k);Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1);endif k=(n-

13、1) %將用于內(nèi)循環(huán)的指針置于初始值，以確保雅可比矩陣換行 k=0;endendend end end k=0;for i=1:n %對PV節(jié)點(diǎn)的處理 j=1:nif j=isbif B2(i,6)=3 k=k+1;for i=1:n %對PV節(jié)點(diǎn)的處理 j=1:nif j=isbif B2(i,6)=3 k=k+1;h=h+1;forif i=j %對角元素的處理Jacbi(2*h-1,2*k-1)=-imag(Y(i,j)*real(B2(i,3)+real(Y(i,j)*imag(B2(i,3)+imag(I(h,1);Jacbi(2*h-1,2*k)=real(Y(i,j)*real(

14、B2(i,3)+imag(Y(i,j)*imag(B2(i,3)+real(I(h,1);Jacbi(2*h,2*k-1)=2*imag(B2(i,3);Jacbi(2*h,2*k)=2*real(B2(i,3);else %非對角元素的處理Jacbi(2*h-1,2*k-1)=-imag(Y(i,j)*real(B2(i,3)+real(Y(i,j)*imag(B2(i,3);Jacbi(2*h-1,2*k)=real(Y(i,j)*real(B2(i,3)+imag(Y(i,j)*imag(B2(i,3);Jacbi(2*h,2*k-1)=0;Jacbi(2*h,2*k)=0;endif k=(n-1) %將用于內(nèi)循環(huán)的指針置于初始值，以確保雅可比矩陣換行 k=0;endendend end enddisp(初始雅可比矩陣為：)；disp(Jacbi);%求解修正方程，獲取節(jié)點(diǎn)電壓的不平衡量DetaU=zeros(2*n-2,1);DetaU=inv(Jacbi)*DetaS; %in v 矩陣求逆 % DetaU%修正節(jié)點(diǎn)電壓j=0;for i=1:n %MPQ 節(jié)點(diǎn)處理if B2(i,6)=2j=j+1;B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);end endfor i=1:n %對PV 節(jié)點(diǎn)的處理