diff --git a/run.asv b/run.asv index c5863ff..ae2ebc2 100644 --- a/run.asv +++ b/run.asv @@ -10,10 +10,11 @@ addpath('.\Powerflow') % 电压 相角 %% %% 开始生成量测量 -sigma=0.01;% 标准差 +sigma=0.05;% 标准差 %% 电压 %电压幅值 rVolt=Volt; %幅值 +BalanceVolt=Volt(Balance); mVolt=rVolt.*(normrnd(0,sigma,length(Volt),1)+1);%电压量测量 rVAngel=Vangle; %% 电流 @@ -29,15 +30,18 @@ lineI=newwordParameter.line.lineI; lineJ=newwordParameter.line.lineJ; lineR=newwordParameter.line.lineR; lineX=newwordParameter.line.lineX; -lineB2=newwordParameter.line; - +lineB2=newwordParameter.line.lineB2; +lineG=1./lineR; +lineB=1./lineX; cmpBranchI=(cmpV(lineI)-cmpV(lineJ))./(lineR+1j*lineX);%复数支路电流 rBranchI=abs(cmpBranchI);% 支路电流幅值 mBranchI=rBranchI.*(normrnd(0,sigma,length(rBranchI),1)+1);%支路电流量测量 %% 支路功率 rBranchP=real((cmpV(lineI)-cmpV(lineJ)).*conj(cmpBranchI)); +rBranchP=rBranchP(abs(rBranchP)>1e-5); mBranchP=rBranchP.*(normrnd(0,sigma,length(rBranchP),1)+1);%支路功率量测量 rBranchQ=imag((cmpV(lineI)-cmpV(lineJ)).*conj(cmpBranchI)); +rBranchQ=rBranchQ(abs(rBranchQ)>1e-5); mBranchQ=rBranchQ.*(normrnd(0,sigma,length(rBranchQ),1)+1);%支路功率量测量 %% 注入功率 rPD=PD; @@ -71,7 +75,6 @@ measurements=length(mVolt)+length(mBranchI)+length(mBranchP)+length(mBranchQ)+le fprintf('冗余度 %f\n',measurements/stateVarCount); %% Opti ToolBox Busnum=length(Volt); -seOpti=SEOpti(); %% save % save('mVolt','mVolt'); % save('mPG','mPG'); @@ -82,36 +85,65 @@ seOpti=SEOpti(); % save('mTransP','mTransP'); % save('mTransQ','mTransQ'); %% load -load('mVolt'); -load('mPG'); -load('mQG'); -load('mBranchI'); -load('mBranchP'); -load('mBranchQ'); -load('mTransP'); -load('mTransQ'); -seOpti=seOpti.init(Busnum, mVolt,sigma,newwordParameter,zerosInjectionIndex,cmpY,onlyPG,onlyQG,mPG,mQG,Balance,mBranchI,mBranchP,mBranchQ,mTransP,mTransQ); -opts = optiset('solver','ipopt'); -opts.maxiter=85500; -opts.maxtime=3000; -opts.maxfeval=85000; -opts.maxnodes=85000; -opts.tolrfun=1e-4; -opts.tolafun=1e-4; -opts.warnings='all'; -opts.display='off'; -% x0=[ones(Busnum,1);zeros(Busnum,1)]; -x0=[rVolt;rVAngle]; -[~,seOpti]=seOpti.equ(x0); -nlrhs=seOpti.nlrhs(); -nle=seOpti.nle(); -Opt = opti('fun',@seOpti.fun,'ndec',length(Volt)*2,'nlmix',@seOpti.equ,nlrhs,nle,'options',opts) -% Opt = opti('fun',@seOpti.fun,'ndec',length(Volt)*2,'options',opts) -[x,fval,exitflag,info] = solve(Opt,x0); -info +% load('mVolt'); +% load('mPG'); +% load('mQG'); +% load('mBranchI'); +% load('mBranchP'); +% load('mBranchQ'); +% load('mTransP'); +% load('mTransQ'); +%% 自己写的微分代码 +% 以下都是Jacobi矩阵 +SEVolt=sparse(ones(length(mVolt),1)); +SEVAngel=sparse(zeros(length(mVolt),1)); + +dV_dV=sparse(1:length(mVolt),1:length(mVolt),1,length(mVolt),length(mVolt));%电压量测量的微分 +dV_dTyta=sparse(length(mVolt),length(mVolt)); +dLPij_dVi=sparse(1:length(lineI),lineJ, ... + -SEVolt(lineJ).*( ... + lineG.*cos(SEVAngel(lineI)-SEVAngel(lineJ)) +lineX.*sin(SEVAngel(lineI)-SEVAngel(lineJ))... + )... + +2*(lineG).*SEVolt(lineI) ... + ,length(lineI),length(mVolt));%线路的 +dLPij_dVj=sparse(1:length(lineI),lineJ, ... + -SEVolt(lineI).*( ... + lineG.*cos(SEVAngel(lineI)-SEVAngel(lineJ)) +lineX.*sin(SEVAngel(lineI)-SEVAngel(lineJ))... + ) ... + ,length(lineI),length(mVolt));%线路的 +% 处理线路电阻或电抗为0的情况,即消除NaN +zerosRXInd=union(find(abs(lineR)<1e-5),find(abs(lineX)<1e-5)); +dLPij_dVi=dLPij_dVi(setdiff( 1:size(dLPij_dVi,1),zerosRXInd),:); +dLPij_dVj=dLPij_dVj(setdiff( 1:size(dLPij_dVj,1),zerosRXInd),:); +dLQij_dVi=sparse(1:length(lineI),lineJ, ... + -SEVolt(lineJ).*( ... + lineG.*cos(SEVAngel(lineI)-SEVAngel(lineJ)) -lineX.*sin(SEVAngel(lineI)-SEVAngel(lineJ))... + )... + -2*(lineB+lineB2).*SEVolt(lineI) ... + ,length(lineI),length(mVolt));%线路的 +dLQij_dVj=sparse(1:length(lineI),lineJ, ... + -SEVolt(lineI).*( ... + lineG.*sin(SEVAngel(lineI)-SEVAngel(lineJ)) -lineX.*cos(SEVAngel(lineI)-SEVAngel(lineJ))... + ) ... + ,length(lineI),length(mVolt));%线路的 +dLQij_dVi=dLQij_dVi(setdiff( 1:size(dLQij_dVi,1),zerosRXInd),:); +dLQij_dVj=dLQij_dVj(setdiff( 1:size(dLQij_dVj,1),zerosRXInd),:); +%% 进入迭代 +H=[dV_dV ;dV_dTyta]'; +h=SEVolt; +z=mVolt; +W=sparse(1:length(mVolt),1:length(mVolt),1/sigma.^2,length(mVolt),length(mVolt)); +G=H'*W*H; +g=-H'*W*(z-h); +% 平衡节点相角恒定; +G(length(mVolt)+Balance,:)=0; +G(:,length(mVolt)+Balance)=0; +G=G+sparse(length(mVolt)+Balance,length(mVolt)+Balance,1,length(mVolt)*2,length(mVolt)*2); +g(length(mVolt)+Balance)=0; +dX=-g\G; +% 更新变量 +SEVolt=SEVolt+ %% 输出结果 -SEVolt=x(1:length(Volt)); -SEVAngel=x(length(Volt)+Balance:2*length(Volt)); fprintf('目标函数为:%f\n',fval); fprintf('相对误差\n'); (abs(rVolt-double(SEVolt)))./(rVolt) diff --git a/run.m b/run.m index cac1b6b..45d9943 100644 --- a/run.m +++ b/run.m @@ -30,8 +30,9 @@ lineI=newwordParameter.line.lineI; lineJ=newwordParameter.line.lineJ; lineR=newwordParameter.line.lineR; lineX=newwordParameter.line.lineX; -lineB2=newwordParameter.line; - +lineB2=newwordParameter.line.lineB2; +lineG=1./lineR; +lineB=1./lineX; cmpBranchI=(cmpV(lineI)-cmpV(lineJ))./(lineR+1j*lineX);%复数支路电流 rBranchI=abs(cmpBranchI);% 支路电流幅值 mBranchI=rBranchI.*(normrnd(0,sigma,length(rBranchI),1)+1);%支路电流量测量 @@ -74,7 +75,6 @@ measurements=length(mVolt)+length(mBranchI)+length(mBranchP)+length(mBranchQ)+le fprintf('冗余度 %f\n',measurements/stateVarCount); %% Opti ToolBox Busnum=length(Volt); -seOpti=SEOpti(); %% save % save('mVolt','mVolt'); % save('mPG','mPG'); @@ -93,31 +93,69 @@ seOpti=SEOpti(); % load('mBranchQ'); % load('mTransP'); % load('mTransQ'); -seOpti=seOpti.init(Busnum, mVolt,sigma,newwordParameter,zerosInjectionIndex,cmpY,onlyPG,onlyQG,mPG,mQG,Balance,mBranchI,mBranchP,mBranchQ,mTransP,mTransQ,BalanceVolt,rVolt,rVAngel); -opts = optiset('solver','ipopt'); -opts.maxiter=85500; -opts.maxtime=3000; -opts.maxfeval=85000; -opts.maxnodes=85000; -opts.tolrfun=1e-4; -opts.tolafun=1e-4; -opts.warnings='all'; -opts.display='off'; -x0=[ones(Busnum,1);-0.2*ones(Busnum,1)]; -% x0=[rVolt;rVAngel]; -[~,seOpti]=seOpti.equ(x0); -nlrhs=seOpti.nlrhs(); -nle=seOpti.nle(); -Opt = opti('fun',@seOpti.fun,'ndec',length(Volt)*2,'nlmix',@seOpti.equ,nlrhs,nle,'options',opts) -% Opt = opti('fun',@seOpti.fun,'ndec',length(Volt)*2,'options',opts) -[x,fval,exitflag,info] = solve(Opt,x0); -info +%% 自己写的微分代码 +% 以下都是Jacobi矩阵 +SEVolt=sparse(ones(length(mVolt),1)); +SEVAngel=sparse(zeros(length(mVolt),1)); +maxD=1000; +Iteration=0; +while maxD>1e-3; +dV_dV=sparse(1:length(mVolt),1:length(mVolt),1,length(mVolt),length(mVolt));%电压量测量的微分 +dV_dTyta=sparse(length(mVolt),length(mVolt)); +dLPij_dVi=sparse(1:length(lineI),lineJ, ... + -SEVolt(lineJ).*( ... + lineG.*cos(SEVAngel(lineI)-SEVAngel(lineJ)) +lineX.*sin(SEVAngel(lineI)-SEVAngel(lineJ))... + )... + +2*(lineG).*SEVolt(lineI) ... + ,length(lineI),length(mVolt));%线路的 +dLPij_dVj=sparse(1:length(lineI),lineJ, ... + -SEVolt(lineI).*( ... + lineG.*cos(SEVAngel(lineI)-SEVAngel(lineJ)) +lineX.*sin(SEVAngel(lineI)-SEVAngel(lineJ))... + ) ... + ,length(lineI),length(mVolt));%线路的 +% 处理线路电阻或电抗为0的情况,即消除NaN +zerosRXInd=union(find(abs(lineR)<1e-5),find(abs(lineX)<1e-5)); +dLPij_dVi=dLPij_dVi(setdiff( 1:size(dLPij_dVi,1),zerosRXInd),:); +dLPij_dVj=dLPij_dVj(setdiff( 1:size(dLPij_dVj,1),zerosRXInd),:); +dLQij_dVi=sparse(1:length(lineI),lineJ, ... + -SEVolt(lineJ).*( ... + lineG.*cos(SEVAngel(lineI)-SEVAngel(lineJ)) -lineX.*sin(SEVAngel(lineI)-SEVAngel(lineJ))... + )... + -2*(lineB+lineB2).*SEVolt(lineI) ... + ,length(lineI),length(mVolt));%线路的 +dLQij_dVj=sparse(1:length(lineI),lineJ, ... + -SEVolt(lineI).*( ... + lineG.*sin(SEVAngel(lineI)-SEVAngel(lineJ)) -lineX.*cos(SEVAngel(lineI)-SEVAngel(lineJ))... + ) ... + ,length(lineI),length(mVolt));%线路的 +dLQij_dVi=dLQij_dVi(setdiff( 1:size(dLQij_dVi,1),zerosRXInd),:); +dLQij_dVj=dLQij_dVj(setdiff( 1:size(dLQij_dVj,1),zerosRXInd),:); +%% 进入迭代 +H=[dV_dV ,dV_dTyta]; +% H=[dV_dV]; +h=SEVolt; +z=mVolt; +W=sparse(1:length(mVolt),1:length(mVolt),1/sigma.^2,length(mVolt),length(mVolt)); +G=H'*W*H; +g=-H'*W*(z-h); +% 平衡节点相角恒定; +% G(length(mVolt)+Balance,:)=0; +% G(:,length(mVolt)+Balance)=0; +% G=G+sparse(length(mVolt)+Balance,length(mVolt)+Balance,1,length(mVolt)*2,length(mVolt)*2); +% g(length(mVolt)+Balance)=0; +dX=G\-g; +maxD=max(abs(dX)) +% 更新变量 +SEVolt=SEVolt+dX(1:length(mVolt)); +Iteration=Iteration+1; +SEVAngel=SEVAngel+dX(length(mVolt)+1:end); +end %% 输出结果 -SEVolt=x(1:length(Volt)); -SEVAngel=x(length(Volt)+Balance:2*length(Volt)); +fprintf('迭代%d次\n',Iteration); +h=SEVolt; +fval=full((z-h)'*W*(z-h)); fprintf('目标函数为:%f\n',fval); fprintf('相对误差\n'); (abs(rVolt-double(SEVolt)))./(rVolt) MaxDeviation(rVolt,SEVolt,rVAngel,SEVAngel) -plotAndComparison( rVolt,rVAngel,SEVolt,SEVAngel ) -seOpti.fun(x); \ No newline at end of file +plotAndComparison( rVolt,rVAngel,SEVolt,SEVAngel ) \ No newline at end of file diff --git a/鍏紡/鍏紡.aux b/鍏紡/鍏紡.aux new file mode 100644 index 0000000..f23e546 --- /dev/null +++ b/鍏紡/鍏紡.aux @@ -0,0 +1 @@ +\relax diff --git a/鍏紡/鍏紡.log b/鍏紡/鍏紡.log new file mode 100644 index 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Could not resolve font 瀹嬩綋/I (it probably doesn't exist). +................................................. +Requested font "茅禄^^91盲陆^^93/ICU" at 10.0pt + -> C:/Windows/Fonts/simhei.ttf +Requested font "茅禄^^91盲陆^^93/I/ICU" at 10.0pt + -> C:/Windows/Fonts/simhei.ttf +................................................. +. fontspec info: "no-font-shape" +. +. Could not resolve font 榛戜綋/I (it probably doesn't exist). +................................................. +................................................. +. fontspec info: "defining-font" +. +. Font family '瀹嬩綋(0)' created for font '瀹嬩綋' with options [BoldFont=榛戜 +綋]. +. +. 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Adjusting the maths setup (use [no-math] to avoid this). +................................................. +\symlegacymaths=\mathgroup6 +LaTeX Font Info: Overwriting symbol font `legacymaths' in version `bold' +(Font) OT1/cmr/m/n --> OT1/cmr/bx/n on input line 11. +LaTeX Font Info: Redeclaring math accent \acute on input line 11. +LaTeX Font Info: Redeclaring math accent \grave on input line 11. +LaTeX Font Info: Redeclaring math accent \ddot on input line 11. +LaTeX Font Info: Redeclaring math accent \tilde on input line 11. +LaTeX Font Info: Redeclaring math accent \bar on input line 11. +LaTeX Font Info: Redeclaring math accent \breve on input line 11. +LaTeX Font Info: Redeclaring math accent \check on input line 11. +LaTeX Font Info: Redeclaring math accent \hat on input line 11. +LaTeX Font Info: Redeclaring math accent \dot on input line 11. +LaTeX Font Info: Redeclaring math accent \mathring on input line 11. +LaTeX Font Info: Redeclaring math symbol \Gamma on input line 11. +LaTeX Font Info: Redeclaring math symbol \Delta on input line 11. +LaTeX Font Info: Redeclaring math symbol \Theta on input line 11. +LaTeX Font Info: Redeclaring math symbol \Lambda on input line 11. +LaTeX Font Info: Redeclaring math symbol \Xi on input line 11. +LaTeX Font Info: Redeclaring math symbol \Pi on input line 11. +LaTeX Font Info: Redeclaring math symbol \Sigma on input line 11. +LaTeX Font Info: Redeclaring math symbol \Upsilon on input line 11. +LaTeX Font Info: Redeclaring math symbol \Phi on input line 11. +LaTeX Font Info: Redeclaring math symbol \Psi on input line 11. +LaTeX Font Info: Redeclaring math symbol \Omega on input line 11. +LaTeX Font Info: Redeclaring math symbol \mathdollar on input line 11. +LaTeX Font Info: Redeclaring symbol font `operators' on input line 11. +LaTeX Font Info: Encoding `OT1' has changed to `EU1' for symbol font +(Font) `operators' in the math version `normal' on input line 11. +LaTeX Font Info: Overwriting symbol font `operators' in version `normal' +(Font) OT1/cmr/m/n --> EU1/瀹嬩綋(0)/m/n on input line 11. +LaTeX Font Info: Encoding `OT1' has changed to `EU1' for symbol font +(Font) `operators' in the math version `bold' on input line 11. +LaTeX Font Info: Overwriting symbol font `operators' in version `bold' +(Font) OT1/cmr/bx/n --> EU1/瀹嬩綋(0)/m/n on input line 11. +LaTeX Font Info: Overwriting symbol font `operators' in version `normal' +(Font) EU1/瀹嬩綋(0)/m/n --> EU1/瀹嬩綋(0)/m/n on input line 1 +1. +LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `normal' +(Font) EU1/瀹嬩綋(0)/m/n --> EU1/瀹嬩綋(0)/m/n on input line 1 +1. +LaTeX Font Info: Overwriting math alphabet `\mathit' in version `normal' +(Font) OT1/cmr/m/it --> EU1/瀹嬩綋(0)/m/it on input line 11. +LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `normal' +(Font) OT1/cmr/bx/n --> EU1/瀹嬩綋(0)/bx/n on input line 11. +LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `normal' +(Font) OT1/cmss/m/n --> EU1/lmss/m/n on input line 11. +LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `normal' +(Font) OT1/cmtt/m/n --> EU1/lmtt/m/n on input line 11. +LaTeX Font Info: Overwriting symbol font `operators' in version `bold' +(Font) EU1/瀹嬩綋(0)/m/n --> EU1/瀹嬩綋(0)/bx/n on input line +11. +LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `bold' +(Font) EU1/瀹嬩綋(0)/m/n --> EU1/瀹嬩綋(0)/bx/n on input line +11. +LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' +(Font) OT1/cmr/bx/it --> EU1/瀹嬩綋(0)/bx/it on input line 11. + +LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' +(Font) OT1/cmss/bx/n --> EU1/lmss/bx/n on input line 11. +LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' +(Font) OT1/cmtt/m/n --> EU1/lmtt/bx/n on input line 11. +Requested font "氓庐^^8b盲陆^^93/ICU:script=latn;language=DFLT;" at 7.0pt + -> C:/Windows/Fonts/simsun.ttc +Requested font "氓庐^^8b盲陆^^93/ICU:script=latn;language=DFLT;" at 5.0pt + -> C:/Windows/Fonts/simsun.ttc +Requested font "cmex7" at 7.0pt + -> cmex7 +Requested font "cmex7" at 5.0pt + -> cmex7 +LaTeX Font Info: Try loading font information for U+msa on input line 12. +(C:\CTEX\MiKTeX\tex\latex\amsfonts\umsa.fd +File: umsa.fd 2009/06/22 v3.00 AMS symbols A +) +Requested font "msam10" at 10.0pt + -> msam10 +Requested font "msam7" at 7.0pt + -> msam7 +Requested font "msam5" at 5.0pt + -> msam5 +LaTeX Font Info: Try loading font information for U+msb on input line 12. + +(C:\CTEX\MiKTeX\tex\latex\amsfonts\umsb.fd +File: umsb.fd 2009/06/22 v3.00 AMS symbols B +) +Requested font "msbm10" at 10.0pt + -> msbm10 +Requested font "msbm7" at 7.0pt + -> msbm7 +Requested font "msbm5" at 5.0pt + -> msbm5 + [1 + +] +(D:\Matlab\StateEstimation-self-derivatives\鍏紡\鍏紡.aux) ) +Here is how much of TeX's memory you used: + 14250 strings out of 430478 + 297453 string characters out of 3191503 + 292163 words of memory out of 3000000 + 17264 multiletter control sequences out of 15000+200000 + 5427 words of font info for 33 fonts, out of 3000000 for 9000 + 14 hyphenation exceptions out of 8191 + 44i,8n,31p,604b,132s stack positions out of 5000i,500n,10000p,200000b,50000s + +Output written on 鍏紡.pdf (1 page). diff --git a/鍏紡/鍏紡.pdf b/鍏紡/鍏紡.pdf new file mode 100644 index 0000000..ad1a6c5 Binary files /dev/null and b/鍏紡/鍏紡.pdf differ diff --git a/鍏紡/鍏紡.tex b/鍏紡/鍏紡.tex new file mode 100644 index 0000000..f687f23 --- /dev/null +++ b/鍏紡/鍏紡.tex @@ -0,0 +1,21 @@ +\documentclass[10pt,a4paper,final]{report} +\usepackage[utf8]{inputenc} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{amssymb} +\usepackage{fontspec}%浣跨敤xetex +\setmainfont[BoldFont=榛戜綋]{瀹嬩綋} % 浣跨敤绯荤粺榛樿瀛椾綋 +\XeTeXlinebreaklocale "zh" % 閽堝涓枃杩涜鏂 +\XeTeXlinebreakskip = 0pt plus 1pt minus 0.1pt % 缁欎簣TeX鏂涓瀹氳嚜鐢卞害 +\linespread{1.5} % 1.5鍊嶈璺 +\begin{document} +\begin{equation} +\begin{aligned} +\frac{\partial P_{ij}}{\partial V_i} +&= +-V_{ij}(g_{ij}cos\theta_{ij}+b_{ij}sin\theta_{ij})+ +2(g_{ij}+g_{si})V_i +\end{aligned} +\end{equation} + +\end{document} \ No newline at end of file diff --git a/鍏紡/鍏紡.tex.bak b/鍏紡/鍏紡.tex.bak new file mode 100644 index 0000000..f687f23 --- /dev/null +++ b/鍏紡/鍏紡.tex.bak @@ -0,0 +1,21 @@ +\documentclass[10pt,a4paper,final]{report} +\usepackage[utf8]{inputenc} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{amssymb} +\usepackage{fontspec}%浣跨敤xetex +\setmainfont[BoldFont=榛戜綋]{瀹嬩綋} % 浣跨敤绯荤粺榛樿瀛椾綋 +\XeTeXlinebreaklocale "zh" % 閽堝涓枃杩涜鏂 +\XeTeXlinebreakskip = 0pt plus 1pt minus 0.1pt % 缁欎簣TeX鏂涓瀹氳嚜鐢卞害 +\linespread{1.5} % 1.5鍊嶈璺 +\begin{document} +\begin{equation} +\begin{aligned} +\frac{\partial P_{ij}}{\partial V_i} +&= +-V_{ij}(g_{ij}cos\theta_{ij}+b_{ij}sin\theta_{ij})+ +2(g_{ij}+g_{si})V_i +\end{aligned} +\end{equation} + +\end{document} \ No newline at end of file diff --git a/鍏紡/閸忣剙绱.synctex.gz(busy) b/鍏紡/閸忣剙绱.synctex.gz(busy) new file mode 100644 index 0000000..56a8dc0 Binary files /dev/null and b/鍏紡/閸忣剙绱.synctex.gz(busy) differ