83 lines
3.1 KiB
Matlab
83 lines
3.1 KiB
Matlab
addpath('.\Powerflow')
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[~, ~, ~, ~,Volt,Vangle,Y,Yangle,r,c,newwordParameter,PG,QG,PD,QD,Balance]=pf('ieee30.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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mVolt=rVolt.*(normrnd(0,sigma,length(Volt),1)+1);%电压量测量
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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;
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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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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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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(PD~=0);
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PDi=find(PD~=0);
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rQD=QD(QD~=0);
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QDi=find(QD~=0);
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rPG=PG(PG~=0);
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PGi=find(PG~=0);
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rQG=QG(QG~=0);
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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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%% 冗余度计算
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stateVarCount=2*length(Volt);
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measurements=length(mVolt)+length(mI)+length(mBranchI)+length(mBranchP)+length(mBranchQ)+length(mPG)+length(mQG);
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fprintf('冗余度 %f\n',measurements/stateVarCount);
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%% 进入状态估计计算
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SEVolt=sdpvar(length(Volt),1);
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SEVAngel=sdpvar(length(Vangle),1);
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Objective=(SEVolt-mVolt)'*(1./sigma^2*eye(length(mVolt)))*(SEVolt-mVolt);%%电压
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%% 支路电流
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cmpSEV=SEVolt.*exp(1j*SEVAngel); %复数电压
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cmpSEBranchI=(cmpV(lineI)-cmpV(lineJ))./(lineR+1j*lineX);%复数支路电流
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SEBranchI=abs(cmpSEBranchI);% 支路电流幅值
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Objective=Objective+(SEBranchI-mBranchI)'*(1./sigma^2*eye(length(mBranchI)))*(SEBranchI-mBranchI);%%电流
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%% 支路功率
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SEBranchP=real((cmpSEV(lineI)-cmpSEV(lineJ)).*conj(SEBranchI));
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SEBranchQ=imag((cmpSEV(lineI)-cmpSEV(lineJ)).*conj(SEBranchI));
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Objective=Objective+(SEBranchP-mBranchP)'*(1./sigma^2*eye(length(mBranchP)))*(SEBranchP-mBranchP);
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Objective=Objective+(SEBranchQ-mBranchQ)'*(1./sigma^2*eye(length(mBranchQ)))*(SEBranchQ-mBranchQ);
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%% 发电机注入功率
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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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%% YALMIP求解
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PQ=diag(SEVolt)*cmpY*SEVolt;
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zeroInjP=real(PQ(zerosInjectionIndex));%% 0注入节点
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zeroInjQ=imag(PQ(zerosInjectionIndex));%% 0注入节点
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Constraints=[SEVAngel(Balance)==0,zeroInjP==0,zeroInjP==0];
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% Constraints=[[zeros(length(c)) A' -eye(length(lbounds))]*x==-c;[A zeros(length(b)) zeros(length(b),length(lbounds))]*x<=b;10>=x>=0];
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options = sdpsettings('verbose',2,'solver','ipopt');
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solvesdp(Constraints,Objective,options)
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double(Objective)
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fprintf('相对误差\n');
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(abs(rVolt-double(SEVolt)))./(rVolt)
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