潮流计算的MATLAB源程序.doc

1、%简单潮流计算的牛顿拉夫逊程序，相关的原始数据数据数据输入格式如下：%B1是支路参数矩阵，第一列和第二列是节点编号。节点编号由小到大编写%对于含有变压器的支路，第一列为低压侧节点编号，第二列为高压侧节点%编号，将变压器的串联阻抗置于低压侧处理。%第三列为支路的串列阻抗参数。%第四列为支路的对地导纳参数。%第五列为含变压器支路的变压器的变比%第六列为变压器是否含有变压器的参数，其中“1”为含有变压器，%“0”为不含有变压器。%B2为节点参数矩阵，其中第一列为节点注入发电功率参数；第二列为节点负荷功率参数；第三列为节点电压参数；第六列为节点类型参数，其中“1”为平衡节点，“2”为 PQ节点，“3”

2、为 PV节点参数。%X为节点号和对地参数矩阵。其中第一列为节点编号，第二列为节点对地%参数。n=input(请输入节点数:n=);n1=input(请输入支路数:n1=);isb=input(请输入平衡节点号:isb=);pr=input(请输入误差精度:pr=);B1=input(请输入支路参数:B1=);B2=input(请输入节点参数:B2=);X=input(节点号和对地参数:X=);Y=zeros(n);Times=1; %置迭代次数为初始值%创建节点导纳矩阵for i=1:n1if B1(i,6)=0 %不含变压器的支路p=B1(i,1);q=B1(i,2);Y(p,q)=Y(p,

3、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 %含有变压器的支路p=B1(i,1);q=B1(i,2);Y(p,q)=Y(p,q)-1/(B1(i,3)*B1(i,5);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,5)2*B1(i,3);endendYOrgS=zeros(2*n-2,1);DetaS=zeros(2*n-2,1); %将 OrgS、DetaS

4、 初始化%创建 OrgS，用于存储初始功率参数h=0;j=0;for i=1:n %对 PQ节点的处理if i=isbfor j=1:nOrgS(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)=OrgS(2*h,1)+imag(B2(i,3)*(real(Y(i,j)*real(B2(j,3)-imag(Y(i,j)*i

5、mag(B2(j,3)-real(B2(i,3)*(real(Y(i,j)*imag(B2(j,3)+imag(Y(i,j)*real(B2(j,3);endendendfor i=1:n %对 PV节点的处理，注意这时不可再将 h初始化为 0if i=isbfor j=1:nOrgS(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(

6、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);endendendOrgS%创建 PVU 用于存储 PV节点的初始电压PVU=zeros(n-h-1,1);t=0;for i=1:nif B2(i,6)=3t=t+1;PVU(t,1)=B2(i,3);endendPVU%创建 DetaS，用于存储有功功率、无功功率和电压幅值的不平衡量h=0;for i

7、=1:n %对 PQ节点的处理if i=isbDetaS(2*h-1,1)=real(B2(i,2)-OrgS(2*h-1,1);DetaS(2*h,1)=imag(B2(i,2)-OrgS(2*h,1);endendt=0;for i=1:n %对 PV节点的处理，注意这时不可再将 h初始化为 0if i=isbt=t+1;DetaS(2*h-1,1)=real(B2(i,2)-OrgS(2*h-1,1);DetaS(2*h,1)=real(PVU(t,1)2+imag(PVU(t,1)2-real(B2(i,3)2-imag(B2(i,3)2;endendDetaS%创建 I，用于存储节点

8、电流参数i=zeros(n-1,1);h=0;for i=1:nif i=isbh=h+1;I(h,1)=(OrgS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1)/conj(B2(i,3);endendI%创建 Jacbi(雅可比矩阵)Jacbi=zeros(2*n-2);h=0;k=0;for i=1:n %对 PQ节点的处理if B2(i,6)=2h=h+1;for j=1:nif j=isbk=k+1;if i=j %对角元素的处理Jacbi(2*h-1,2*k-1)=-imag(Y(i,j)*real(B2(i,3)+real(Y(i,j)*imag(B2(i,3)+im

9、ag(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(2*h-1,2*k)+2*real(I(h,1);Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1);else %非对角元素的处理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)*r

10、eal(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-1) %将用于内循环的指针置于初始值，以确保雅可比矩阵换行k=0;endendendendendk=0;for i=1:n %对 PV节点的处理if B2(i,6)=3h=h+1;for j=1:nif j=isbk=k+1;if i=j %对角元素的处理Jacbi(2*h-1,2*k-1)=-imag(Y(i,j)*real(B2(i,3)+real(Y(i,j

11、)*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)=2*imag(B2(i,3);Jacbi(2*h,2*k)=2*real(B2(i,3);else %非对角元素的处理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

12、(i,j)*imag(B2(i,3);Jacbi(2*h,2*k-1)=0;Jacbi(2*h,2*k)=0;endif k=(n-1) %将用于内循环的指针置于初始值，以确保雅可比矩阵换行k=0;endendendendendJacbi%求解修正方程，获取节点电压的不平衡量DetaU=zeros(2*n-2,1);DetaU=inv(Jacbi)*DetaS;DetaU%修正节点电压j=0;for i=1:n %对 PQ节点处理if B2(i,6)=2j=j+1;B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);endendfor i=

13、1:n %对 PV节点的处理if B2(i,6)=3j=j+1;B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);endendB2%开始循环*while abs(max(DetaU)prOrgS=zeros(2*n-2,1); %!初始功率参数在迭代过程中是不累加的，所以在这里必须将其初始化为零矩阵h=0;j=0;for i=1:nif i=isbfor j=1:nOrgS(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

14、,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);endendendfor i=1:nif i=isbfor j=1:nOrgS(2*h-1,1)=OrgS(2*h-1,1)+real(B2(i,3)*(rea

15、l(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)=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);endendendOrgS%创建 DetaSh=0;for i=1:nif

16、 i=isbDetaS(2*h-1,1)=real(B2(i,2)-OrgS(2*h-1,1);DetaS(2*h,1)=imag(B2(i,2)-OrgS(2*h,1);endendt=0;for i=1:nif i=isbt=t+1;DetaS(2*h-1,1)=real(B2(i,2)-OrgS(2*h-1,1);DetaS(2*h,1)=real(PVU(t,1)2+imag(PVU(t,1)2-real(B2(i,3)2-imag(B2(i,3)2;endendDetaS%创建 Ii=zeros(n-1,1);h=0;for i=1:nif i=isbh=h+1;I(h,1)=(Or

17、gS(2*h-1,1)-OrgS(2*h,1)*sqrt(-1)/conj(B2(i,3);endendI%创建 JacbiJacbi=zeros(2*n-2);h=0;k=0;for i=1:nif B2(i,6)=2h=h+1;for j=1:nif j=isbk=k+1;if i=jJacbi(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

18、(h,1);Jacbi(2*h,2*k-1)=-Jacbi(2*h-1,2*k)+2*real(I(h,1);Jacbi(2*h,2*k)=Jacbi(2*h-1,2*k-1)-2*imag(I(h,1);elseJacbi(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)=-Jacbi(2*h-1,2*k);Jacbi(2*h,2*k)=Jacbi(

19、2*h-1,2*k-1);endif k=(n-1)k=0;endendendendendk=0;for i=1:nif B2(i,6)=3h=h+1;for j=1:nif j=isbk=k+1;if i=jJacbi(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)=2*imag(B2(i,3);Ja

20、cbi(2*h,2*k)=2*real(B2(i,3);elseJacbi(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)k=0;endendendendendJacbiDetaU=zeros(2*n-2,1);DetaU=inv(Jacbi)*DetaS;DetaU%修正节点电压j=

21、0;for i=1:nif B2(i,6)=2j=j+1;B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);endendfor i=1:nif B2(i,6)=3j=j+1;B2(i,3)=B2(i,3)+DetaU(2*j,1)+DetaU(2*j-1,1)*sqrt(-1);endendB2Times=Times+1; %迭代次数加 1endTimes一个原始数据的例子节点数 5支路数 5平衡节点编号 5精度 pr 0.000001B1(支路参数矩阵)1 2 0.04+0.25i 0.5i 1 0;1 3 0.1+0.35i 0 1 0;2 3 0.08+0.30i 0.5i 1 0;4 2 0.015i 0 1.05 1;5 3 0.03i 0 1.05 1B2(节点参数矩阵)0 -1.6-0.8i 1 0 0 2;0 -2-1i 1 0 0 2;0 -3.7-1.3i 1 0 0 2;0 5+0i 1.05 1.05 0 3;0 0 1.05 1.05 0 1X(节点号和对地参数)1 0;2 0;3 0;4 0;5 0