From 6f5326f93e1fdb3f0504e9543d336ec4d020f684 Mon Sep 17 00:00:00 2001 From: facat Date: Wed, 14 Aug 2013 22:25:16 +0800 Subject: [PATCH] =?UTF-8?q?=E5=8F=AA=E4=BB=A5=E7=94=B5=E5=8E=8B=E4=BD=9C?= =?UTF-8?q?=E4=B8=BA=E9=87=8F=E6=B5=8B=E9=87=8F=EF=BC=8C=E6=94=B6=E6=95=9B?= =?UTF-8?q?.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Signed-off-by: facat --- run.asv | 98 ++-- run.m | 90 +++- 公式/公式.aux | 1 + 公式/公式.log | 918 ++++++++++++++++++++++++++++++++++++ 公式/公式.pdf | Bin 0 -> 9774 bytes 公式/公式.tex | 21 + 公式/公式.tex.bak | 21 + 公式/鍏紡.synctex.gz(busy) | Bin 0 -> 1625 bytes 8 files changed, 1090 insertions(+), 59 deletions(-) create mode 100644 公式/公式.aux create mode 100644 公式/公式.log create mode 100644 公式/公式.pdf create mode 100644 公式/公式.tex create mode 100644 公式/公式.tex.bak create mode 100644 公式/鍏紡.synctex.gz(busy) diff --git a/run.asv b/run.asv index c5863ff..ae2ebc2 100644 --- a/run.asv +++ b/run.asv @@ -10,10 +10,11 @@ addpath('.\Powerflow') % ѹ %% %% ʼ -sigma=0.01;% ׼ +sigma=0.05;% ׼ %% ѹ %ѹֵ rVolt=Volt; %ֵ +BalanceVolt=Volt(Balance); mVolt=rVolt.*(normrnd(0,sigma,length(Volt),1)+1);%ѹ rVAngel=Vangle; %% @@ -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);%֧· rBranchI=abs(cmpBranchI);% ֧·ֵ mBranchI=rBranchI.*(normrnd(0,sigma,length(rBranchI),1)+1);%֧· %% ֧· rBranchP=real((cmpV(lineI)-cmpV(lineJ)).*conj(cmpBranchI)); +rBranchP=rBranchP(abs(rBranchP)>1e-5); mBranchP=rBranchP.*(normrnd(0,sigma,length(rBranchP),1)+1);%֧· rBranchQ=imag((cmpV(lineI)-cmpV(lineJ)).*conj(cmpBranchI)); +rBranchQ=rBranchQ(abs(rBranchQ)>1e-5); mBranchQ=rBranchQ.*(normrnd(0,sigma,length(rBranchQ),1)+1);%֧· %% ע빦 rPD=PD; @@ -71,7 +75,6 @@ measurements=length(mVolt)+length(mBranchI)+length(mBranchP)+length(mBranchQ)+le fprintf(' %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'); +%% Լд΢ִ +% ¶Jacobi +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));%ѹ΢ +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));%· +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));%· +% ·翹Ϊ0NaN +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));%· +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));%· +dLQij_dVi=dLQij_dVi(setdiff( 1:size(dLQij_dVi,1),zerosRXInd),:); +dLQij_dVj=dLQij_dVj(setdiff( 1:size(dLQij_dVj,1),zerosRXInd),:); +%% +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); +% ƽڵǺ㶨; +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; +% ± +SEVolt=SEVolt+ %% -SEVolt=x(1:length(Volt)); -SEVAngel=x(length(Volt)+Balance:2*length(Volt)); fprintf('Ŀ꺯Ϊ:%f\n',fval); fprintf('\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);%֧· rBranchI=abs(cmpBranchI);% ֧·ֵ mBranchI=rBranchI.*(normrnd(0,sigma,length(rBranchI),1)+1);%֧· @@ -74,7 +75,6 @@ measurements=length(mVolt)+length(mBranchI)+length(mBranchP)+length(mBranchQ)+le fprintf(' %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 +%% Լд΢ִ +% ¶Jacobi +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));%ѹ΢ +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));%· +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));%· +% ·翹Ϊ0NaN +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));%· +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));%· +dLQij_dVi=dLQij_dVi(setdiff( 1:size(dLQij_dVi,1),zerosRXInd),:); +dLQij_dVj=dLQij_dVj(setdiff( 1:size(dLQij_dVj,1),zerosRXInd),:); +%% +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); +% ƽڵǺ㶨; +% 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)) +% ± +SEVolt=SEVolt+dX(1:length(mVolt)); +Iteration=Iteration+1; +SEVAngel=SEVAngel+dX(length(mVolt)+1:end); +end %% -SEVolt=x(1:length(Volt)); -SEVAngel=x(length(Volt)+Balance:2*length(Volt)); +fprintf('%d\n',Iteration); +h=SEVolt; +fval=full((z-h)'*W*(z-h)); fprintf('Ŀ꺯Ϊ:%f\n',fval); fprintf('\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/公式/公式.aux b/公式/公式.aux new file mode 100644 index 0000000..f23e546 --- /dev/null +++ b/公式/公式.aux @@ -0,0 +1 @@ +\relax diff --git a/公式/公式.log b/公式/公式.log new file mode 100644 index 0000000..d64fc4d --- /dev/null +++ b/公式/公式.log @@ -0,0 +1,918 @@ +This is XeTeX, Version 3.1415926-2.3-0.9997.5 (MiKTeX 2.9) (preloaded format=xelatex 2013.5.6) 14 AUG 2013 12:13 +entering extended mode +**公式.tex +(D:\Matlab\StateEstimation-self-derivatives\公式\公式.tex +LaTeX2e <2011/06/27> +Babel and hyphenation 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literal 0 HcmV?d00001 diff --git a/公式/公式.tex b/公式/公式.tex new file mode 100644 index 0000000..f687f23 --- /dev/null +++ b/公式/公式.tex @@ -0,0 +1,21 @@ +\documentclass[10pt,a4paper,final]{report} +\usepackage[utf8]{inputenc} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{amssymb} +\usepackage{fontspec}%使用xetex +\setmainfont[BoldFont=黑体]{宋体} % 使用系统默认字体 +\XeTeXlinebreaklocale "zh" % 针对中文进行断行 +\XeTeXlinebreakskip = 0pt plus 1pt minus 0.1pt % 给予TeX断行一定自由度 +\linespread{1.5} % 1.5倍行距 +\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/公式/公式.tex.bak b/公式/公式.tex.bak new file mode 100644 index 0000000..f687f23 --- /dev/null +++ b/公式/公式.tex.bak @@ -0,0 +1,21 @@ +\documentclass[10pt,a4paper,final]{report} +\usepackage[utf8]{inputenc} +\usepackage{amsmath} +\usepackage{amsfonts} 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