把原来的OPF重新加入这里面,收敛了,但总觉得有地方不太对。
Signed-off-by: dugg@lab-desk <dugg@lab-desk>
This commit is contained in:
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14
FormG.m
14
FormG.m
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@ -1,8 +1,14 @@
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function Mat_G=FormG(I1r,I1i)
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% Mat_G=[
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% I1r;
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% I1i;
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% ];
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%t1=PG(PVi);
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%GP=t1;%发电机P
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%GP=[4.5 4.5]';
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%%线路
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%发电机Q
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% t1=Volt'*Volt;
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% t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
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% t3=t1.*t2;
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% t4=sum(t3,2);%发电机Q
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%GQ=t4;
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Mat_G=[
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I1r.^2+I1i.^2;
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];
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14
FormH.m
14
FormH.m
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@ -1,15 +1,6 @@
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function Mat_H=FormH(fsY11,Loadi,V1r,V1i,I1r,I1i,BalI1r,BalI1i,Balance)
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%%
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%QDcos=textread('D:\Project\×îС»¯³±Á÷\×îС³±Á÷ËãÀý\Ïɺ£919PDQDglys.txt');
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%QD(QD~=0)=PD(QD~=0)./tan(QDcos);
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%QD(QD_NON_ZERO_IND)=QD_NON_ZERO;
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%%
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%PD(Loadi)=QD(Loadi)./tan(acos(0.98));
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% AngleIJ=sparse(r,c,UAngel(r)-UAngel(c)-Angle,Busnum,Busnum);
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% dP=PG-PD-diag(Volt)*Y.*cos(AngleIJ)*Volt;
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% dQ=QG-QD-diag(Volt)*Y.*sin(AngleIJ)*Volt;
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%
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% Mat_H=[dP;dQ;];
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%%%%一下是学姐给的公式
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H=[
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real(fsY11),-imag(fsY11);
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imag(fsY11),real(fsY11);
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@ -21,4 +12,5 @@ Mat_H=H*[V1r;V1i];
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Mat_H=Mat_H+sparse(Loadi,1,-I1r,busNum*2,1)+sparse(Loadi+busNum,1,-I1i,busNum*2,1);
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Mat_H(Balance)=Mat_H(Balance)-BalI1r;
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Mat_H(Balance+busNum)=Mat_H(Balance+busNum)-BalI1i;
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end
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9
FormLw.m
9
FormLw.m
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@ -1,12 +1,5 @@
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function Lw=FormLw(Loadi,Mat_G,Init_U)
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% VoltU=sparse(1.2*ones(Busnum,1));
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% PDU=sparse(2*ones(length(Loadi),1));
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% QDU=sparse(2*ones(length(Loadi),1));
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% t1=[PDU;
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% QDU;
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% VoltU];
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% t2=Mat_G+Init_U-t1;
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% Lw=t2;
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upper=2*sparse(ones(length(Loadi)*1,1));
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Lw=Mat_G+Init_U-upper;
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end
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11
FormLz.m
11
FormLz.m
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@ -1,14 +1,5 @@
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function Lz=FormLz(Loadi,Mat_G,Init_L)
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% VoltL=sparse(0.8*ones(Busnum,1));
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% PDL=sparse(-2*ones(length(Loadi),1));
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% QDL=sparse(-2*ones(length(Loadi),1));
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% t1=[PDL;
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% QDL;
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% VoltL
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% ];
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% t2=Mat_G-Init_L-t1;
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% Lz=t2;
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lower=0*sparse(ones(length(Loadi)*1,1));
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Lz=Mat_G-Init_L-lower;
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% Lz=-[]
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end
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49
IPMLoop.m
49
IPMLoop.m
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@ -2,8 +2,8 @@ function [ V1r,V1i,I1r,I1i ] = IPMLoop(measurement,BalI1r,BalI1i,busNum,Loadi,fs
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%把每个序的循环写在这个函数中。其实也就是内点法循环。
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V1r=1*ones(busNum,1);
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V1i=0*ones(busNum,1);
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I1r=0.01*ones(length(Loadi),1);%注入电流,相当于放电机电流,与负荷电流负荷相反
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I1i=0.01*ones(length(Loadi),1);%注入电流,相当于放电机电流,与负荷电流负荷相反
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I1r=0.1*ones(length(Loadi),1);%注入电流,相当于放电机电流,与负荷电流负荷相反
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I1i=0.1*ones(length(Loadi),1);%注入电流,相当于放电机电流,与负荷电流负荷相反
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KK=0;
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plotGap=zeros(1,60);
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%初始化
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@ -12,32 +12,36 @@ RestraintCount=length(Loadi)*1;
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ContrlCount=busNum*2+length(Loadi)*2;
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CenterA=0.1;
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Init_Z=sparse(ones(RestraintCount,1));
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Init_W=sparse(-1*ones(RestraintCount,1));
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Init_W=sparse(-1.0*ones(RestraintCount,1));
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Init_L=1*sparse(ones(RestraintCount,1));
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Init_U=1*sparse(ones(RestraintCount,1));
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Init_Y=sparse(2*busNum,1);%等式约束乘子
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Gap=(Init_L'*Init_Z-Init_U'*Init_W);
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% PG=sparse(busNum,1);
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% PG(Balance)=0.1105;
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% QG=sparse(busNum,1);
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% QG(Balance)=0.0984;
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% SEPD(2)=0.1105;
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% SEQD(2)=0.0984;
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while Gap>1e-5 && KK<20
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KK=KK+1;
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kmax=60;
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while(abs(Gap)>0.000001)
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if KK>kmax
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break;
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end
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plotGap(KK+1)=Gap;
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Init_u=Gap/2/RestraintCount*CenterA;
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%% 开始计算OPF
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%% 形成等式约束的雅克比
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deltH=func_deltH(busNum,fsY1,Loadi,Balance);
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%% 形成不等式约束的雅克比
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deltG=func_deltG(busNum,Loadi,I1r,I1i);
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% deltG=0;
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% L_1Z=diag(Init_Z./Init_L);
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% U_1W=diag(Init_W./Init_U);
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%%
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L_1Z=diag(Init_Z./Init_L);
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U_1W=diag(Init_W./Init_U);
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%% 形成海森阵
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deltdeltF=func_deltdeltF(busNum,fsY1,Loadi);
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% deltdeltF=0;
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% ddh=func_ddh(SEVmf1,Init_Y,busNum,fsY1amp,SEVaf1,r,c,fsY1ang,Loadi,ContrlCount);
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%% 形成ddHy
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% ddh=func_ddh(busNum,Loadi,Init_Z,Init_W);
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ddh=0;
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%% 开始构建ddg
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ddg=func_ddg(busNum,Loadi,Init_Z,Init_W);
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%% 开始构建deltF
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deltF=func_deltF(measurement,busNum,fsY1,Loadi,V1r,V1i,I1r,I1i);
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% deltF=0;
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%%
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Luu=Init_U.*Init_W+Init_u*ones(RestraintCount,1);
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Lul=Init_L.*Init_Z-Init_u*ones(RestraintCount,1);
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Mat_G=FormG(I1r,I1i);
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@ -46,14 +50,15 @@ while Gap>1e-5 && KK<20
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Lz=FormLz(Loadi,Mat_G,Init_L);
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Lw=FormLw(Loadi,Mat_G,Init_U);
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Lx=FormLx(deltF,deltH,Init_Y,deltG,Init_Z,Init_W);
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% YY=FormYY(Lul,Lz,Ly,Luu,Lw,Lx);
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YY=FormYY(Lul,Lz,Ly,Luu,Lw,Lx);
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%% 开始解方程
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plotGap(KK)=Gap;
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fprintf('迭代次数 %d Gap %f\n',KK,plotGap(KK));
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XX=SolveIt(deltF,deltG,Init_L,Init_Z,Init_U,Init_W,deltdeltF,ddh,ddg,deltH,Init_Y,Ly,Lz,ContrlCount,Lw,Lul,Luu,Lx,Balance,busNum,Loadi);
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XX=SolveIt(deltF,deltG,Init_L,Init_Z,Init_U,Init_W,deltdeltF,ddh,ddg,deltH,Init_Y,Ly,Lz,ContrlCount,Lw,Lul,Luu,RestraintCount,Lx,Balance,busNum);
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%%取各分量
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[deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX(XX,ContrlCount,RestraintCount,busNum);
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[Init_Z,Init_L,Init_W,Init_U,Init_Y,V1r,V1i,I1r,I1i]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,V1r,V1i,I1r,I1i,ContrlCount,Balance,busNum,Loadi,Vref);
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[Init_Z,Init_L,Init_W,Init_U,Init_Y,V1r,V1i,I1r,I1i]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,V1r,V1i,I1r,I1i,ContrlCount,Balance,busNum,Loadi);
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Gap=(Init_L'*Init_Z-Init_U'*Init_W);
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fprintf('Gap %f\n',full(Gap));
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KK=KK+1;
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end
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f=sum(([real(measurement);imag(measurement)]-[-I1r;-I1i]).^2);
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@ -1,22 +1,27 @@
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function [Init_Z,Init_L,Init_W,Init_U,Init_Y,V1r,V1i,I1r,I1i]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY, ...
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V1r,V1i,I1r,I1i,ContrlCount,Balance,busNum,Loadi,Vref)
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function [Init_Z,Init_L,Init_W,Init_U,Init_Y,V1r,V1i,I1r,I1i]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,V1r,V1i,I1r,I1i,ContrlCount,Balance,Busnum,Loadi)
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AlphaP=FormAlphaP(Init_L,deltL,Init_U,deltU);
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% fprintf('AlphaP %f\n',full(AlphaP));
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AlphaD=FormAlphaD(Init_Z,deltZ,Init_W,deltW);
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% fprintf('AlphaD %f\n',full(AlphaD));
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Init_Z=Init_Z+AlphaD*deltZ;
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Init_L=Init_L+AlphaP*deltL;
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Init_W=Init_W+AlphaD*deltW;
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Init_U=Init_U+AlphaP*deltU;
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Init_Y=Init_Y+AlphaD*deltY;
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t=deltX(1:busNum*2);
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V1r=V1r+AlphaP*t(1:busNum);
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V1r(Balance)=Vref;
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V1i=V1i+AlphaP*t(busNum+1:end);
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%PG(PGi)=PG(PGi)+deltX(1:size(PGi,1));
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% PG(PGi)=PG(PGi)+AlphaP*deltX(1:size(PGi,1));
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V1r=V1r+AlphaP*deltX(1:Busnum);
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V1r(Balance)=1;
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V1i=V1i+AlphaP*deltX(Busnum+1:2*Busnum);
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V1i(Balance)=0;
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t=deltX(busNum*2+1:ContrlCount);
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%QG(PVi)=QG(PVi)+deltX(size(PGi,1)+1:size(PVi,1)+size(PGi,1) );
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% QG(PVi)=QG(PVi)+AlphaP*deltX(size(PGi,1)+1:size(PVi,1)+size(PGi,1) );
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t=deltX(Busnum*2+1:ContrlCount);
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I1r=I1r+AlphaP*t(1:length(Loadi));
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I1i=I1i+AlphaP*t(length(Loadi)+1:end);
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%balVolt=1;%Volt(Balance);
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%Volt=Volt+AlphaP*t(1:Busnum);
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%Volt(Balance)=balVolt;
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%UAngel=UAngel+AlphaP*t(Busnum+1:2*Busnum);
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%Volt=Volt+AlphaP*t(2:2:2*Busnum);ÔÝʱ¸ÄÒ»ÏÂ20111227
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%UAngel=UAngel+AlphaP*t(1:2:2*Busnum);ÔÝʱ¸ÄÒ»ÏÂ20111227
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end
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25
SolveIt.m
25
SolveIt.m
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@ -1,31 +1,26 @@
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function XX=SolveIt(deltF,deltG,Init_L,Init_Z,Init_U,Init_W,deltdeltF,ddh,ddg,deltH,Init_Y,Ly,Lz,ContrlCount,Lw,Lul,Luu,Lx,Balance,Busnum,Loadi)
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function XX=SolveIt(deltF,deltG,Init_L,Init_Z,Init_U,Init_W,deltdeltF,ddh,ddg,deltH,Init_Y,Ly,Lz,ContrlCount,Lw,Lul,Luu,ConstraintCount,Lx,Balance,Busnum)
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LxComa=FormLxComa(deltF,deltG,deltH,Init_L,Luu,Lul,Init_Z,Init_Y,Lz,Init_U,Init_W,Lw,Lx);
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H=-deltdeltF+ddh+ddg;
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t1=diag(Init_Z./Init_L-Init_W./Init_U);
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H=-deltdeltF+ddh+ddg;%+ddg*(Init_Z'+Init_W');
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t1=diag(Init_L.\Init_Z-Init_U.\Init_W);
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t2=-deltG*( t1 )*deltG';
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aa=[
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(H+t2),deltH;
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deltH',zeros(length(Init_Y));
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deltH',sparse(length(Init_Y),length(Init_Y));
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];
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yy=[LxComa;-Ly];
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%% 平衡节点电压实部
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% t=size(PVi,1)+size(PGi,1);%电压不变
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% yy(t+Balance)=0;
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aa(Balance,:)=0;
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aa(:,Balance)=0;
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aa=aa+sparse(Balance,Balance,ones(length(Balance),1),ContrlCount+2*Busnum,ContrlCount+2*Busnum);
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deltG(Balance,:)=0;
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%% 平衡节点电压虚部
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t=Busnum*1;
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%暂时改一下
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t=Busnum;%相角不变
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aa(t+Balance,:)=0;
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aa(:,t+Balance)=0;
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aa=aa+sparse(t+Balance,t+Balance,ones(length(Balance),1),ContrlCount+2*Busnum,ContrlCount+2*Busnum);
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deltG(t+Balance,:)=0;
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%%
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aa(t+Balance,t+Balance)=1;
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dxdy=aa\yy;
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%% KLU
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%spy(aa)
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%dxdy = klu(aa,'\',full(yy));
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%%
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dX=dxdy(1:ContrlCount);
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dY=dxdy(ContrlCount+1:ContrlCount+2*Busnum);
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dL=Lz+deltG'*dX;
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@ -5,8 +5,8 @@
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0
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632 30 0 0
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0
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632 120 120 120 110 90 90
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631 90 100 110 80 90 90
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632 120 120 120 110 90 90
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0
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@ -1,5 +1,5 @@
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function ddg=func_ddg(busNum,Loadi,Init_Z,Init_W)
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% ddg=0;
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Init_ZW=Init_Z+Init_W;
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t=[2*diag( ones(length(Loadi),1).*Init_ZW),zeros(length(Loadi));
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zeros(length(Loadi)),2*diag( ones(length(Loadi),1).*Init_ZW);
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18
func_deltF.m
18
func_deltF.m
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@ -1,15 +1,15 @@
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function deltF=func_deltF(measurement,busNum,fsY11,Loadi,V1r,V1i,I1r,I1i)
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% H=[
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% real(fsY11),-imag(fsY11),zeros(busNum,length(Loadi)*2);
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% imag(fsY11),real(fsY11),zeros(busNum,length(Loadi)*2);
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% zeros(length(Loadi),busNum*2), eye(length(Loadi)),zeros(length(Loadi));
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% zeros(length(Loadi),busNum*2), zeros(length(Loadi)),eye(length(Loadi));
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% ];
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% X=[V1r;V1i;I1r;I1i];
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% deltF=-H'*(measurement-H*X);
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%t1=PG(setdiff(PVi,Balance));
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% t2=Volt'*Volt;
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% t3=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
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% t4=t2.*t3;
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% t5=sum(t4,2);
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% PBal=t5(Balance);
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% PPG=([PQ(1),PBal])';%暂时用土办法处理一下
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%%
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deltF=[
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zeros(busNum*2,1);
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-2*( [real(measurement);imag(measurement)]-[I1r;I1i]);
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];
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% deltF=0;
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end
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15
func_deltG.m
15
func_deltG.m
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@ -1,19 +1,4 @@
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function deltG=func_deltG(busNum,Loadi,I1r,I1i)
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% dgV_dPD=sparse(length(Loadi),busNum);
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% dgV_dQD=sparse(length(Loadi),busNum);
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% dgV_dx=[sparse(1:busNum,1:busNum,ones(busNum,1),busNum,busNum);
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% sparse(busNum,busNum);
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% ];
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% %
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% dgPD_dPD=sparse(eye(length(Loadi)));
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% dgPD_dQD=sparse(length(Loadi),length(Loadi));
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% dgPD_dx=sparse(busNum*2,length(Loadi));
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% %
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% dgQD_dPD=sparse(length(Loadi),length(Loadi));
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% dgQD_dQD=sparse(eye(length(Loadi)));
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% dgQD_dx=sparse(busNum*2,length(Loadi));
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% %%
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deltG=[
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zeros(busNum*2,length(Loadi)*1);
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2*eye(length(Loadi)*1)*diag(I1r);
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@ -1,8 +1,4 @@
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function deltH=func_deltH(busNum,fsY11,Loadi,Balance)
|
||||
% dH_dPD=[sparse(1:size(Loadi,1),Loadi,-ones(size(Loadi,1),1),size(Loadi,1),Busnum) sparse(size(Loadi,1),Busnum)];
|
||||
% dH_dQD=[sparse(size(Loadi,1),Busnum) sparse(1:size(Loadi,1),Loadi,-ones(size(Loadi,1),1),size(Loadi,1),Busnum)];
|
||||
% dH_dx = jacobian(Busnum,Volt,Y,Angle,UAngel,r,c); %形成雅克比矩阵
|
||||
% deltH=[dH_dPD;dH_dQD;dH_dx'];
|
||||
H=[
|
||||
real(fsY11),-imag(fsY11);
|
||||
imag(fsY11),real(fsY11);
|
||||
|
|
|
|||
|
|
@ -1,22 +1,7 @@
|
|||
function deltdeltF=func_deltdeltF(busNum,fsY11,Loadi)
|
||||
% H=[
|
||||
% real(fsY11),-imag(fsY11),zeros(busNum,length(Loadi)*2);
|
||||
% imag(fsY11),real(fsY11),zeros(busNum,length(Loadi)*2);
|
||||
% zeros(length(Loadi),busNum*2), eye(length(Loadi)),zeros(length(Loadi));
|
||||
% zeros(length(Loadi),busNum*2), zeros(length(Loadi)),eye(length(Loadi));
|
||||
% ];
|
||||
|
||||
% H=[
|
||||
% real(fsY11),-imag(fsY11),zeros(busNum,length(Loadi)*2);
|
||||
% imag(fsY11),real(fsY11),zeros(busNum,length(Loadi)*2);
|
||||
% zeros(length(Loadi),busNum*2), eye(length(Loadi)),zeros(length(Loadi));
|
||||
% zeros(length(Loadi),busNum*2), zeros(length(Loadi)),eye(length(Loadi));
|
||||
% ];
|
||||
|
||||
% deltdeltF=H'*H;
|
||||
deltdeltF=[
|
||||
zeros(busNum*2,busNum*2+length(Loadi)*2);
|
||||
zeros(length(Loadi)*2,busNum*2),2*eye(length(Loadi)*2);
|
||||
];
|
||||
% deltdeltF=0;
|
||||
end
|
||||
Loading…
Reference in New Issue