152 lines
4.9 KiB
Plaintext
152 lines
4.9 KiB
Plaintext
clear
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clc
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% yalmip('clear')
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addpath('.\Powerflow')
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[~, ~, ~, ~,Volt,Vangle,Y,Yangle,r,c,newwordParameter,PG,QG,PD,QD,Balance]=pf('ieee14.dat', '0');
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%% 量测量
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% 电压 节点电流 支路电流 节点功率 支路功率
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%%
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%% 状态量
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% 电压 相角
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%%
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%% 开始生成量测量
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sigma=0.05;% 标准差
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%% 电压
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%电压幅值
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rVolt=Volt; %幅值
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BalanceVolt=Volt(Balance);
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mVolt=rVolt.*(normrnd(0,sigma,length(Volt),1)+1);%电压量测量
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rVAngel=Vangle;
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%% 电流
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%注入电流
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cmpY=Y.*exp(1j*sparse(r,c,Yangle,length(Y),length(Y)));%复数导纳矩阵
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cmpV=Volt.*exp(1j*Vangle); %复数电压
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cmpI=cmpY*cmpV;% 注入电流
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rI=abs(cmpI); %注入电流量测量要的是电流幅值
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mI=rI.*(normrnd(0,sigma,length(rI),1)+1);%电流量测量
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%% 支路电流
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% 支路电流
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lineI=newwordParameter.line.lineI;
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lineJ=newwordParameter.line.lineJ;
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lineR=newwordParameter.line.lineR;
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lineX=newwordParameter.line.lineX;
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lineB2=newwordParameter.line.lineB2;
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lineG=1./lineR;
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lineB=1./lineX;
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cmpBranchI=(cmpV(lineI)-cmpV(lineJ))./(lineR+1j*lineX);%复数支路电流
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rBranchI=abs(cmpBranchI);% 支路电流幅值
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mBranchI=rBranchI.*(normrnd(0,sigma,length(rBranchI),1)+1);%支路电流量测量
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%% 支路功率
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rBranchP=real((cmpV(lineI)-cmpV(lineJ)).*conj(cmpBranchI));
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rBranchP=rBranchP(abs(rBranchP)>1e-5);
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mBranchP=rBranchP.*(normrnd(0,sigma,length(rBranchP),1)+1);%支路功率量测量
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rBranchQ=imag((cmpV(lineI)-cmpV(lineJ)).*conj(cmpBranchI));
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rBranchQ=rBranchQ(abs(rBranchQ)>1e-5);
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mBranchQ=rBranchQ.*(normrnd(0,sigma,length(rBranchQ),1)+1);%支路功率量测量
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%% 注入功率
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rPD=PD;
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PDi=find(PD~=0);
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rQD=QD;
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QDi=find(QD~=0);
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rPG=PG;
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PGi=find(PG~=0);
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rQG=QG;
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QGi=find(QG~=0);
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mPD=rPD.*(normrnd(0,sigma,length(rPD),1)+1);
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mQD=rQD.*(normrnd(0,sigma,length(rQD),1)+1);
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mPG=rPG.*(normrnd(0,sigma,length(rPG),1)+1);
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mQG=rQG.*(normrnd(0,sigma,length(rQG),1)+1);
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%% 0注入节点
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zerosInjectionIndex=1:length(Volt);
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zerosInjectionIndex=zerosInjectionIndex( ~(PD~=0|QD~=0|PG~=0|QG~=0) );
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%% 变压器功率
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rTransP=TransPower( newwordParameter,cmpY,rVolt,rVAngel );
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rTransQ=TransReactivePower( newwordParameter,cmpY,rVolt,rVAngel );
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mTransP=rTransP.*(normrnd(0,sigma,length(rTransP),1)+1);
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mTransQ=rTransQ.*(normrnd(0,sigma,length(rTransQ),1)+1);
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%% 发电机注入功率
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% 先找到只有发电机的节点
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PDQDi=union(PDi,QDi);
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onlyPG=setdiff(PGi,PDQDi);
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onlyQG=setdiff(QGi,PDQDi);
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%% 冗余度计算
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stateVarCount=2*length(Volt);
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measurements=length(mVolt)+length(mBranchI)+length(mBranchP)+length(mBranchQ)+length(mPG)+length(mQG)+length(mTransP)+length(mTransQ);
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fprintf('冗余度 %f\n',measurements/stateVarCount);
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%% Opti ToolBox
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Busnum=length(Volt);
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%% save
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% save('mVolt','mVolt');
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% save('mPG','mPG');
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% save('mQG','mQG');
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% save('mBranchI','mBranchI');
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% save('mBranchP','mBranchP');
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% save('mBranchQ','mBranchQ');
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% save('mTransP','mTransP');
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% save('mTransQ','mTransQ');
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%% load
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% load('mVolt');
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% load('mPG');
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% load('mQG');
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% load('mBranchI');
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% load('mBranchP');
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% load('mBranchQ');
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% load('mTransP');
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% load('mTransQ');
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%% 自己写的微分代码
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% 以下都是Jacobi矩阵
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SEVolt=sparse(ones(length(mVolt),1));
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SEVAngel=sparse(zeros(length(mVolt),1));
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dV_dV=sparse(1:length(mVolt),1:length(mVolt),1,length(mVolt),length(mVolt));%电压量测量的微分
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dV_dTyta=sparse(length(mVolt),length(mVolt));
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dLPij_dVi=sparse(1:length(lineI),lineJ, ...
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-SEVolt(lineJ).*( ...
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lineG.*cos(SEVAngel(lineI)-SEVAngel(lineJ)) +lineX.*sin(SEVAngel(lineI)-SEVAngel(lineJ))...
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)...
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+2*(lineG).*SEVolt(lineI) ...
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,length(lineI),length(mVolt));%线路的
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dLPij_dVj=sparse(1:length(lineI),lineJ, ...
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-SEVolt(lineI).*( ...
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lineG.*cos(SEVAngel(lineI)-SEVAngel(lineJ)) +lineX.*sin(SEVAngel(lineI)-SEVAngel(lineJ))...
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) ...
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,length(lineI),length(mVolt));%线路的
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% 处理线路电阻或电抗为0的情况，即消除NaN
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zerosRXInd=union(find(abs(lineR)<1e-5),find(abs(lineX)<1e-5));
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dLPij_dVi=dLPij_dVi(setdiff( 1:size(dLPij_dVi,1),zerosRXInd),:);
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dLPij_dVj=dLPij_dVj(setdiff( 1:size(dLPij_dVj,1),zerosRXInd),:);
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dLQij_dVi=sparse(1:length(lineI),lineJ, ...
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-SEVolt(lineJ).*( ...
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lineG.*cos(SEVAngel(lineI)-SEVAngel(lineJ)) -lineX.*sin(SEVAngel(lineI)-SEVAngel(lineJ))...
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)...
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-2*(lineB+lineB2).*SEVolt(lineI) ...
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,length(lineI),length(mVolt));%线路的
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dLQij_dVj=sparse(1:length(lineI),lineJ, ...
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-SEVolt(lineI).*( ...
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lineG.*sin(SEVAngel(lineI)-SEVAngel(lineJ)) -lineX.*cos(SEVAngel(lineI)-SEVAngel(lineJ))...
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) ...
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,length(lineI),length(mVolt));%线路的
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dLQij_dVi=dLQij_dVi(setdiff( 1:size(dLQij_dVi,1),zerosRXInd),:);
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dLQij_dVj=dLQij_dVj(setdiff( 1:size(dLQij_dVj,1),zerosRXInd),:);
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%% 进入迭代
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H=[dV_dV ;dV_dTyta]';
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h=SEVolt;
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z=mVolt;
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W=sparse(1:length(mVolt),1:length(mVolt),1/sigma.^2,length(mVolt),length(mVolt));
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G=H'*W*H;
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g=-H'*W*(z-h);
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% 平衡节点相角恒定;
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G(length(mVolt)+Balance,:)=0;
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G(:,length(mVolt)+Balance)=0;
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G=G+sparse(length(mVolt)+Balance,length(mVolt)+Balance,1,length(mVolt)*2,length(mVolt)*2);
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g(length(mVolt)+Balance)=0;
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dX=-g\G;
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% 更新变量
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SEVolt=SEVolt+
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%% 输出结果
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fprintf('目标函数为:%f\n',fval);
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fprintf('相对误差\n');
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(abs(rVolt-double(SEVolt)))./(rVolt)
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MaxDeviation(rVolt,SEVolt,rVAngel,SEVAngel)
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plotAndComparison( rVolt,rVAngel,SEVolt,SEVAngel )
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seOpti.fun(x); |