commit 3938778d78a4a0d80162d7ff7e49e5488af50178 Author: dmy@lab Date: Thu Jan 29 21:32:27 2015 +0800 备份 Signed-off-by: dmy@lab diff --git a/NCP函数法/Constant.m b/NCP函数法/Constant.m new file mode 100644 index 0000000..996370c --- /dev/null +++ b/NCP函数法/Constant.m @@ -0,0 +1,60 @@ +function [const,Lz,Lw,L1,U1]=Constant(nodeNum,opfGoal,lineNum,transNum,transI,transJ,transG,transB,... + T,transKmin,transKmax,lineI,lineJ,balNode,mu,G,B,GIJ,BIJ,e,f,Pmin,Pmax,a,b,PG,QR,pvQmin,pvQmax,... + pgNum,pgvNum,xNum,capNum,capK,capKmin,capKmax,pgNode,pvNode,dhx,dgx,L1,U1,LZ,UW,l,u,y,r,capBi,Vmin,Vmax,hx) +%³ÌÐò¹¦ÄÜ£ºÔ¤¼ÆËã¹ý³Ì£¬ÐγÉÈŶ¯KKT·½³Ì²»Æ½ºâÁ¿¾ØÕó +%±àдʱ¼ä£º2010Äê11Ô + +%% ÐγÉÄ¿±êº¯ÊýµÄÒ»½×Æ«µ¼¾ØÕó¨Œf(.) +if(opfGoal==2) + dPG=ones(pgNum,1); + dfx=sparse(transNum+1:transNum+pgNum,ones(pgNum,1),dPG,xNum,1); +else if(opfGoal==1) + dPG=2*a(pgNode).*PG(pgNode)+b(pgNode); + dfx=sparse(transNum+1:transNum+pgNum,ones(pgNum,1),dPG,xNum,1); + else if(opfGoal==3) + dfT=-1*transG.*((f(transI)-f(transJ)).^2+(e(transI)-e(transJ)).^2); + dfPQ=zeros(pgvNum,1); + dfcapK=zeros(capNum,1); + EE=e*ones(1,nodeNum); + FF=f*ones(1,nodeNum); + dfe=2*sum(G.*(EE-EE')); + dff=2*sum(G.*(FF-FF')); + dfx=[dfT;dfPQ;dfcapK;dfe';dff']; + else if(opfGoal==4) + dfT=1*transB.*((f(transI)-f(transJ)).^2+(e(transI)-e(transJ)).^2); + dfPQ=zeros(pgvNum,1); + dfcapK=zeros(capNum,1); + EE=e*ones(1,nodeNum); + FF=f*ones(1,nodeNum); + dfe=-2*sum(B.*(EE-EE')); + dff=-2*sum(B.*(FF-FF')); + dfx=[dfT;dfPQ;dfcapK;dfe';dff']; + end + end + end +end +%% ²»µÈʽԼÊøÏî +gxv=[PG(pgNode);QR(pvNode);capK;e.^2+f.^2]; %Ô¼ÊøÌõ¼þµ±Ç°Öµ +gxvx=[Pmin(pgNode);pvQmin(pvNode);capKmin.*capBi;Vmin.*Vmin]; %Ô¼ÊøÏÂÏÞ +gxvs=[Pmax(pgNode);pvQmax(pvNode);capKmax.*capBi;Vmax.*Vmax]; %Ô¼ÊøÉÏÏÞ +gxl=(e(lineI).*e(lineI)+f(lineI).*f(lineI)-e(lineI).*e(lineJ)-f(lineI).*f(lineJ)).*GIJ+(e(lineI).*f(lineJ)-e(lineJ).*f(lineI)).*BIJ;%Ïß·¹¦Âʵ±Ç°Öµ +gxlx=-ones(lineNum,1)*1000; %Ïß·ԼÊøÏÂÏÞ +gxls=ones(lineNum,1)*1000; %Ïß·ԼÊøÉÏÏÞ +gxT=T; +gxTx=transKmin; %±ä±ÈÏÂÏÞ +gxTs=transKmax; %±ä±ÈÉÏÏÞ + +gx=[gxT;gxv;gxl]; %×éºÏËùÓÐÔ¼ÊøÌõ¼þ +gxx=[gxTx;gxvx;gxlx]; +gsx=[gxTs;gxvs;gxls]; +Lz=gx-l-gxx; +Lw=gx+u-gsx; +%% ÐγÉÐÞÕý·½³Ì³£ÊýÏîÏòÁ¿ +muUL=mu*(U1-L1); +BB1=UW*Lw-LZ*Lz-muUL*ones(r,1); +BB=dhx*y-dfx+dgx*BB1; %ÐÞÕý·½³Ì³£ÊýÏî¦×(.,¦Ì) +balN=transNum+pgvNum+capNum+nodeNum+balNode; +balN1=transNum+pgvNum+capNum+balNode; +BB(balN,1)=0; %±£³Öƽºâ½ÚµãµçѹÐ鲿²»±ä£¬Ê¼ÖÕΪ0£¬Ôò³£ÊýÏîƽºâ½Úµã´¦ÖÃ0 +BB(balN1,1)=0; %±£³Öƽºâ½Úµãµçѹʵ²¿²»±ä +const=[BB;hx]; %ÐÞÕý·½³Ì³£ÊýÏîÏòÁ¿ \ No newline at end of file diff --git a/NCP函数法/IEEE118.dat b/NCP函数法/IEEE118.dat new file mode 100644 index 0000000..fd34622 --- /dev/null +++ b/NCP函数法/IEEE118.dat @@ -0,0 +1,425 @@ +118 179 100 100 0.1 +1.e-5 2 +1 69 +0 +1 1 2 0.0303 0.0999 0.0127 +2 1 3 0.0129 0.0424 0.00541 +3 4 5 0.00176 0.00798 0.00105 +4 3 5 0.0241 0.1080 0.0142 +5 5 6 0.0119 0.0540 0.00713 +6 6 7 0.00459 0.0208 0.00275 +7 8 9 0.00244 0.0305 0.5810 +9 9 10 0.00258 0.0322 0.6150 +10 4 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-0,0 +1,127 @@ +%******************************************************* +% ³ÌÐòÃû³Æ£ºµçÁ¦ÏµÍ³ÎÞ¹¦ÓÅ»¯³ÌÐò +% ³ÌÐò¹¦ÄÜ£ºÖ÷³ÌÐò +% ³ÌÐòËã·¨£ºÏÖ´úÄڵ㷨£¬²ÉÓÃNCPº¯Êý´¦ÀíÀëÉ¢±äÁ¿ +% Ä¿±êº¯Êý£º·¢µç·ÑÓÃ×îС£¨1£©¡¢Óй¦³öÁ¦×îС£¨2£©¡¢Óй¦ÍøËð×îС£¨3£©¡¢ÎÞ¹¦ÍøËð×îС£¨4£© +% ±àÕߣº Τ԰Çå +% ±àдʱ¼ä£º2010Äê11Ô +%******************************************************* +function []=OPF(filename) +clc; +%% ¶ÁÈ¡Êý¾Ý +data=dlmread(filename); +if data(1,1)<1780 + %¶ÁÈ¡1780½Úµãϵͳ¸ñʽÀàÐ͵ÄÊý¾Ý + [nodeNum,lineNum,capacity,kmax,centrPara,accuracy,opfGoal,balNum,balNode,mtrLine,mtrGround,mtrTrans,runPara,Pg,Qg,Pd,Qd,pvNum,pvNode,pvV,... + pvQmin,pvQmax,pgNumall,pgNodeall,pgNum,pgNode,a,b,c,Pmin,Pmax,capNum,capI,capGi,capBi,capK,capKmin,capKmax,Vmin,Vmax]=readData(data); + tic; + %Ðγɽڵ㵼ÄɾØÕó + [G,B,transY,transG,transB,transG1,transB1,transNum,lineNum,lineI,lineJ,lineB,transI,transJ,transK0,transKmin,transKmax]=formY(nodeNum,... + mtrLine,mtrGround,mtrTrans,capI,capK); +else + %¶ÁÈ¡IEEE±ê×¼¸ñʽÊý¾Ý + [nodeNum,lineNum,capacity,kmax,accuracy,balNum,balNode,mtrLine,mtrGround,mtrTrans,runPara,Pg,Qg,Pd,Qd,pvNum,pvNode,pvV,pvQmin,pvQmax,... + mtrCapacitor,pgNum,pgNode,a,b,c,Pmin,Pmax,Vmin,Vmax,centrPara]=readData_RPP(data) ; + tic; + %Ðγɽڵ㵼ÄɾØÕó + [G,B,lineI,lineJ,lineB,transI,transJ,transK0,transNum,transKmin,transKmax,capI,capGi,capBi,capK,capKmin,capKmax,capNum,transG,transB,... + transG1,transB1,lineNum]=formY_RPP(nodeNum,lineNum,mtrLine,mtrGround,mtrTrans,mtrCapacitor) ; +end +%% ³õʼ»¯ +[e,f,PG,QR,Pg,Qg,T,pgvNum,xNum,m,r,l,u,z,w,x,y,mu,dmaxOut1,dmaxOut2,xz1,xz2,dmaxOut3,dmaxOut4,xz3,xz4,xz5,colmut1,hx,k2,opfGoal,times,... + secondBegin,Tn,Tn1,capKn,capKn1,kt0,q0,mut,mub,oneTrans,oneCap,para1,para2,para3,mismatch,ifconverge]=seting(nodeNum,lineNum,transNum,transK0,... + capNum,capK,pvQmin,pvQmax,pvNum,pvNode,pvV,pgNum,pgNode,Pmin,Pmax,Pg,Qg,centrPara); +disp (['µü´ú´ÎÊý »¥²¹¼ä϶ ×î´ó²»Æ½ºâÁ¿ ×îÓų±Á÷Ä¿±ê']) +%% ½øÈëÑ­»·ÌåÇó½â +for k=0:kmax + [mut,mub,dNCPT,dNCPT_dt,d2NCPT_dt2,dT_Zt,transGmut,transBmut,dNCPcap,dNCP_dcap,d2NCP_dcap2,capBi_dBci,H1,N1,diagE,diagF,hx,Gap,max_hx,fx,... + Pg,Qg,xz1,dmaxOut1,xz2,dmaxOut2,xz3,dmaxOut3,xz4,dmaxOut4,PGR,Tn,kt0,capKn,q0,Tn1,capKn1,T,G]=midResult(nodeNum,pgNode,opfGoal,z,l,u,w,Pg,... + Qg,e,f,G,B,a,b,c,PG,Pd,Qd,k,xz1,dmaxOut1,xz2,dmaxOut2,xz3,dmaxOut3,xz4,dmaxOut4,times,mut,mub,oneTrans,oneCap,para3,accuracy,T,capK,transKmin,... + transKmax,capKmin,capBi,mu,transNum,transG,transB,Tn,Tn1,capKn,capKn1,kt0,q0,mismatch); + if Gapaccuracy; %ÅжϿ¿½üϽçµÄÀëÉ¢Á¿ÊÇ·ñ´ïµ½¾«¶È + dicVar1=[(Tn1-T);(capKn1-capK)]>accuracy; %ÅжϿ¿½üÉϽçµÄÀëÉ¢Á¿ÊÇ·ñ´ïµ½¾«¶È + ymut=dicVar.*dicVar1; + if (sum(ymut)==0) %ÅжÏÀëÉ¢±äÁ¿ÊÇ·ñ´ïµ½¾«¶È + ifconverge=1; + break + end + end + end + mu=(centrPara*Gap)/(2*r); %¼ÆËãÈŶ¯Òò×Ó + if times==1 %Ô¤¼ÆËã¹ý³Ì + %ÐγÉÐÞÕý·½³ÌϵÊý¾ØÕó + [HSB,dhx,dgx,dgxT,N1,H1,diagE,diagF,GIJ,BIJ,L1,U1,LZ,UW]=formHSB(nodeNum,balNode,balNum,opfGoal,lineNum,transNum,lineI,lineJ,transI,... + transJ,T,transG,transB,pgNode,pvNode,G,B,e,f,pgNum,pvNum,pgvNum,xNum,capNum,capI,a,m,r,l,u,z,w,y,H1,N1,diagE,diagF); + %ÐγÉÈŶ¯KKT·½³Ì²»Æ½ºâÁ¿¾ØÕó + [const,Lz,Lw,L1,U1]=Constant(nodeNum,opfGoal,lineNum,transNum,transI,transJ,transG,transB,T,transKmin,transKmax,lineI,lineJ,balNode,... + mu,G,B,GIJ,BIJ,e,f,Pmin,Pmax,a,b,PG,QR,pvQmin,pvQmax,pgNum,pgvNum,xNum,capNum,capK,capKmin,capKmax,pgNode,pvNode,dhx,dgx,L1,U1,LZ,... + UW,l,u,y,r,capBi,Vmin,Vmax,hx); + %Çó½â·½³Ì²¢¸üбäÁ¿ + [z,l,u,w,x,y,PG,QR,Pg,Qg,e,f,T,capK,G,B]=solve(HSB,const,mu,r,nodeNum,balNode,pgNum,pvNum,xNum,transNum,capNum,capI,capBi,capK,pgNode,... + pvNode,m,x,y,z,l,u,w,Lz,Lw,LZ,UW,dgxT,L1,U1,G,B,transI,transJ,T,transG,transB,transG1,transB1,PG,QR,Pg,Qg); + else %¹â»¬´¦Àí¹ý³Ì + k2=k2+1; + xz5=[xz5,k2]; %±£Áôÿ´Îµü´ú¹â»¬²ÎÊýµÄÖµ£¬ÓÃÓÚ×÷ͼ + colmut1=[colmut1,mut(1)]; + %ÐγÉÐÞÕý·½³ÌϵÊý¾ØÕó + [HSB,dhx,dgx,dgxT,N1,H1,diagE,diagF,GIJ,BIJ,L1,U1,LZ,UW,transG,transB,mut,mub]=snd_formHSB(nodeNum,balNode,balNum,opfGoal,lineNum,... + transNum,lineI,lineJ,transI,transJ,T,transG,transB,pgNode,pvNode,G,B,e,f,pgNum,pvNum,pgvNum,xNum,a,m,r,l,u,z,w,y,capNum,capI,... + mut,mub,dNCPT_dt,d2NCPT_dt2,dT_Zt,transGmut,transBmut,dNCP_dcap,d2NCP_dcap2,H1,N1,diagE,diagF); + %ÐγÉÈŶ¯KKT·½³Ì²»Æ½ºâÁ¿¾ØÕó + [const,Lz,Lw,L1,U1,hx,origConst,gxx,gsx]=snd_Constant(nodeNum,opfGoal,lineNum,transNum,transI,transJ,transG,transB,lineI,lineJ,... + balNode,mu,G,B,GIJ,BIJ,e,f,Pmin,Pmax,a,b,PG,QR,pvQmin,pvQmax,pgNum,pgvNum,xNum,pgNode,pvNode,dhx,dgx,L1,U1,LZ,UW,l,u,y,r,... + dT_Zt,capNum,z,w,Vmin,Vmax,hx); + %Çó½â·½³Ì²¢¸üбäÁ¿ + [z,l,u,w,x,y,PG,QR,Pg,Qg,e,f,T,G,B,capK,meritF]=snd_solve(HSB,const,mu,r,nodeNum,balNode,pgNum,pvNum,pgvNum,xNum,transNum,pgNode,... + pvNode,m,Lz,Lw,LZ,UW,dgxT,L1,U1,transI,transJ,transG,transB,transG1,transB1,Tn,capKn,capNum,capI,Tn1,capKn1,x,y,z,l,u,w,... + G,B,PG,QR,Pg,Qg,opfGoal,Gama,Arlfa,meritF,k2,T,capK,lineNum,lineI,lineJ,Pd,Qd,gxx,gsx,mut,mub); + end +end +if k>=kmax + disp '×îÓų±Á÷¼ÆËã²»ÊÕÁ²£¡' + disp(k) +else + disp '×îÓų±Á÷¼ÆËãÊÕÁ²£¡' + disp(['µü´ú',num2str(k),'´Î£¡']) +end +toc; +%% Êä³ö¼ÆËã½á¹û +OutResult(G,B,balNode,e,f,T,k,Gap,fx,transI,transJ,filename,nodeNum,PGR,pgNode,QR,pvNode,capI,capK,firstT,firstcapK,Tn,Tn1,capKn,capKn1,... + firstfx,toc,max_hx,ifconverge,Vfirst,Pgfirst,Qgfirst); + +%% ×÷»¥²¹¼ä϶ºÍ×î´ó²»Æ½ºâÁ¿ÊÕÁ²ÇúÏßͼ +% xz=0:1:k; +% plot(xz1,dmaxOut1,'-ks','LineWidth',2,'MarkerEdgeColor','k','MarkerFaceColor','k','MarkerSize',3) +% hold on; +% plot(xz2,dmaxOut2,'-ks','LineWidth',2,'MarkerEdgeColor','k','MarkerFaceColor','k','MarkerSize',3) +% hold on; +% xlabel('µü´ú´ÎÊý') +% ylabel('»¥²¹¼ä϶') + +% plot(xz3,dmaxOut3,'-ks','LineWidth',2,'MarkerEdgeColor','k','MarkerFaceColor','k','MarkerSize',3) +% hold on; +% plot(xz4,dmaxOut4,'-ks','LineWidth',2,'MarkerEdgeColor','k','MarkerFaceColor','k','MarkerSize',3) +% xlabel('µü´ú´ÎÊý') +% ylabel('×î´ó²»Æ½ºâÁ¿') + +%% ×÷mutÔÚµü´ú¹ý³ÌÖеı仯ͼ +% plot(xz5,colmut1,'-ks','LineWidth',2,'MarkerEdgeColor','k','MarkerFaceColor','k','MarkerSize',3) +% xlabel('µÚ¶þ½×¶ÎÓÅ»¯µü´ú´ÎÊý') +% ylabel('¦Ì') +% hold on; + +%% ×÷¶þ´ÎÓÅ»¯»¥²¹¼ä϶ÊÕÁ²ÇúÏß +% plot(xz5,dmaxOut2,'-ks','LineWidth',2,'MarkerEdgeColor','k','MarkerFaceColor','k','MarkerSize',3) +% hold on; +% xlabel('µü´ú´ÎÊý') +% ylabel('»¥²¹¼ä϶') + diff --git a/NCP函数法/OutResult.m b/NCP函数法/OutResult.m new file mode 100644 index 0000000..173fe21 --- /dev/null +++ b/NCP函数法/OutResult.m @@ -0,0 +1,39 @@ +function [e]=OutResult(G,B,balNode,e,f,T,k,Gap,fx,transI,transJ,filename,nodeNum,... + PGR,pgNode,QR,pvNode,capI,capK,firstT,firstcapK,Tn,Tn1,capKn,capKn1,firstfx,toc,max_hx,ifconverge,Vfirst,Pgfirst,Qgfirst) +%³ÌÐò¹¦ÄÜ£ºÊä³ö¼ÆËã½á¹û +%±àдʱ¼ä£º2010Äê11Ô + +mytime=toc; +Y1=G+1j*B; +V1=e+1j*f; +NodeS=zeros(nodeNum,1); +NodeS(pvNode)=V1(pvNode,:).*conj(Y1(pvNode,:)*V1); %¼ÆËãƽºâ½ÚµãºÍPV½ÚµãµÄ½Úµã¸´¹¦ÂÊ£¬Y1(pvNode,:)*V1Ϊ½ÚµãµÄ×¢ÈëµçÁ÷ +balanceP=real(NodeS(balNode,1)); %»ñȡƽºâ½ÚµãµÄÓй¦¹¦ÂÊ +PGR(balNode,1)=balanceP; +balanceQ=imag(NodeS(balNode,1)); +QR(balNode,1)=balanceQ; +V=sqrt(e.^2+f.^2); +resultFile=['result_' filename]; +fid=fopen(resultFile,'w'); +result=[k;Gap;fx;firstfx;mytime;max_hx;ifconverge]; %ÊÕÁ²ÐÅÏ¢ +fprintf(fid,'%2.0f %4.4e %6.6f %6.6f %4.4f %4.4e %2.0f\r\n',result); +fprintf(fid,'%1.0f\r\n',0); +trans=[transI';transJ';(1./T)';(1./firstT)';(1./Tn)';(1./Tn1)']; %±äѹÆ÷±ä±È½á¹û +fprintf(fid,'%2.0f %2.0f %5.4f %5.4f %5.4f %5.4f\r\n',full(trans)); +fprintf(fid,'%1.0f\r\n',0); +nn=1:nodeNum; +Vresult=[nn;e';f';V';Vfirst']; %½Úµãµçѹ½á¹û +fprintf(fid,'%3.0f %5.4f %5.4f %5.4f %5.4f\r\n',full(Vresult)); +fprintf(fid,'%1.0f\r\n',0); +PGresult=[pgNode';PGR(pgNode)';Pgfirst(pgNode)']; %Óй¦³öÁ¦½á¹û +PGresult=full(PGresult); +fprintf(fid,'%2.0f %4.4f %4.4f\r\n',PGresult); +fprintf(fid,'%1.0f\r\n',0); +QRresult=[pvNode';QR(pvNode)';Qgfirst(pvNode)']; %ÎÞ¹¦³öÁ¦½á¹û +QRresult=full(QRresult); +fprintf(fid,'%2.0f %4.4f %4.4f\r\n',QRresult); +fprintf(fid,'%1.0f\r\n',0); +Capresult=[capI';capK';firstcapK';capKn';capKn1']; %µçÈݵ翹Æ÷ͶÈë×éÊý½á¹û +fprintf(fid,'%2.0f %3.2f %5.4f %3.2f %3.2f\r\n',full(Capresult)); +fprintf(fid,'%1.0f\r\n',0); +fclose(fid); \ No newline at end of file diff --git a/NCP函数法/S1047.dat b/NCP函数法/S1047.dat new file mode 100644 index 0000000..6493a68 --- /dev/null +++ b/NCP函数法/S1047.dat @@ -0,0 +1,3548 @@ +1047 1182 100 100 0.1 +1.e-5 1 +1 339 +0 +1 581 843 0.08300 0.22000 0.01230 +2 1029 1003 0.01500 0.08250 0.07370 +3 1029 938 0.01590 0.08800 0.07910 +4 362 363 0.02150 0.11270 0.10290 +5 1029 362 0.00000 0.00010 0.00000 +6 363 1046 0.00000 0.00010 0.00000 +7 1026 928 0.01900 0.08800 0.07750 +8 1047 1001 0.01140 0.05690 0.09290 +9 1047 1046 0.00230 0.01150 0.07160 +10 1047 938 0.00600 0.02600 0.03080 +11 1043 840 0.11300 0.29200 0.01650 +12 582 843 0.15160 0.29630 0.02010 +13 843 357 0.10800 0.23100 0.01200 +14 357 845 0.07660 0.14900 0.00980 +15 1003 928 0.00300 0.01660 0.01430 +16 998 1026 0.01700 0.05910 0.04860 +17 998 1046 0.01540 0.05850 0.04430 +18 998 1027 0.00980 0.03610 0.04630 +19 829 998 0.01150 0.06340 0.05700 +20 997 829 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+0 +0 +0 +0 +0 +0 +0 +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 diff --git a/NCP函数法/formHSB.m b/NCP函数法/formHSB.m new file mode 100644 index 0000000..7ae8b87 --- /dev/null +++ b/NCP函数法/formHSB.m @@ -0,0 +1,200 @@ +function [HSB,dhx,dgx,dgxT,N1,H1,diagE,diagF,GIJ,BIJ,L1,U1,LZ,UW]=formHSB(nodeNum,balNode,balNum,opfGoal,lineNum,transNum,lineI,lineJ,... + transI,transJ,T,transG,transB,pgNode,pvNode,G,B,e,f,pgNum,pvNum,pgvNum,xNum,capNum,capI,a,m,r,l,u,z,w,y,H1,N1,diagE,diagF) +%³ÌÐò¹¦ÄÜ£ºÔ¤¼ÆËã¹ý³Ì£¬ÐγÉÐÞÕý·½³ÌϵÊý¾ØÕó +%±àдʱ¼ä£º2010Äê11Ô + +%% ÐγɵÈʽԼÊøÑſɱȾØÕó +ef1=e(transI).*e(transJ)+f(transI).*f(transJ); +ef2=e(transI).*f(transJ)-e(transJ).*f(transI); +ef3=e(transI).*e(transI)+f(transI).*f(transI); +ef1G=ef1.*transG; +ef1B=ef1.*transB; +ef2G=ef2.*transG; +ef2B=ef2.*transB; +dhPTi=-ef1G+ef2B+2*ef3.*transG.*T; +dhPTj=-ef1G-ef2B; +dhPT=sparse(1:transNum,transI,dhPTi,transNum,nodeNum)+sparse(1:transNum,transJ,dhPTj,transNum,nodeNum);%Óй¦Æ½ºâ·½³ÌP¶Ô±äѹÆ÷±ä±ÈÇóÆ«µ¼ +dhQTi=ef1B+ef2G-2*ef3.*transB.*T; +dhQTj=ef1B-ef2G; +dhQT=sparse(1:transNum,transI,dhQTi,transNum,nodeNum)+sparse(1:transNum,transJ,dhQTj,transNum,nodeNum);%ÎÞ¹¦Æ½ºâ·½³ÌQ¶Ô±äѹÆ÷±ä±ÈÇóÆ«µ¼ +dhP=sparse(1:pgNum,pgNode,ones(pgNum,1),pgNum,m); +dhQ1=sparse(1:pvNum,pvNode,ones(pvNum,1),pvNum,nodeNum); +dhQ=[sparse(pvNum,nodeNum) dhQ1]; +dhcapK1=sparse(1:capNum,capI,(e(capI).^2+f(capI).^2),capNum,nodeNum); %¹¦ÂÊƽºâ·½³Ì¶ÔµçÈݵ翹Æ÷×éÊýÇóÆ«µ¼ +dhcapK=[sparse(capNum,nodeNum) dhcapK1]; +%¹¦ÂÊ·½³ÌÑſɱȾØÕó +deG=diagE*G; +dfB=diagF*B; +deB=diagE*B; +dfG=diagF*G; +dH1=sparse(1:nodeNum,1:nodeNum,H1,nodeNum,nodeNum); +dN1=sparse(1:nodeNum,1:nodeNum,N1,nodeNum,nodeNum); +Hij=-dH1-deG-dfB; +Nij=-dN1+deB-dfG; +Jij=dN1-dfG+deB; +Lij=-dH1+dfB+deG; +%ºÏ²¢Ðγɹ¦ÂÊ·½³ÌÑſɱȾØÕó +dhJacb=[Hij Nij;Jij Lij]'; +%ºÏ²¢ÐγɵÈʽԼÊøÑſɱȾØÕóh(x) +dhx=[dhPT dhQT;dhP;dhQ;dhcapK;dhJacb]; +%% Ðγɲ»µÈʽԼÊøÑſɱȾØÕó¨Œg(x) +dgT1=sparse(1:transNum,1:transNum,ones(transNum,1),transNum,r-lineNum); +dglT=(e(transI).^2+f(transI).^2-e(transI).*e(transJ)-f(transI).*f(transJ)).*transG+(e(transI).*f(transJ)-e(transJ).*f(transI)).*transB; +dgT2=sparse(1:transNum,lineNum-transNum+1:lineNum,dglT,transNum,lineNum); +dgT=[dgT1 dgT2]; %ËùÓв»µÈʽ¶Ô±ä±ÈÇóµ¼µÄÄ£¿é +dgP=sparse(1:pgNum,transNum+1:transNum+pgNum,ones(pgNum,1),pgNum,r); %ËùÓв»µÈʽԼÊø¶ÔPGÇóµ¼µÄÄ£¿é +dgQ=sparse(1:pvNum,transNum+pgNum+1:transNum+pgvNum,ones(pvNum,1),pvNum,r); %ËùÓв»µÈʽԼÊø¶ÔQRÇóµ¼µÄÄ£¿é +dgcapK=sparse(1:capNum,transNum+pgvNum+1:transNum+pgvNum+capNum,ones(capNum,1),capNum,r);%ËùÓв»µÈʽԼÊø¶ÔcapKÇóµ¼µÄÄ£¿é +dgve=2*diagE; +dgvf=2*diagF; +sizeG=size(G); +GIJ=G(sub2ind(sizeG,lineI,lineJ)); +BIJ=B(sub2ind(sizeG,lineI,lineJ)); +dgleI=(2*e(lineI)-e(lineJ)).*GIJ+f(lineJ).*BIJ; +dgleJ=-e(lineI).*GIJ-f(lineI).*BIJ; +dglfI=(2*f(lineI)-f(lineJ)).*GIJ-e(lineJ).*BIJ; +dglfJ=-f(lineI).*GIJ+e(lineI).*BIJ; +dgle=sparse(lineI,(1:lineNum),dgleI,nodeNum,lineNum)+sparse(lineJ,(1:lineNum),dgleJ,nodeNum,lineNum); +dglf=sparse(lineI,(1:lineNum),dglfI,nodeNum,lineNum)+sparse(lineJ,(1:lineNum),dglfJ,nodeNum,lineNum); +dg0=sparse(m,transNum+pgvNum+capNum); +dgvl=[dgve dgle;dgvf dglf]; +dgef=[dg0 dgvl]; %ËùÓв»µÈʽԼÊø¶Ôµçѹʵ²¿¡¢Ð鲿ÇóÆ«µ¼µÄÄ£¿é +dgx=[dgT;dgP;dgQ;dgcapK;dgef]; %²»µÈʽԼÊøÑſ˱ȾØÕó +%% ÐγɶԽÇÕó +Z=sparse(1:r,1:r,z,r,r); +W=sparse(1:r,1:r,w,r,r); +L1=sparse(1:r,1:r,1./l,r,r); +U1=sparse(1:r,1:r,1./u,r,r); +LZ=L1*Z; +UW=U1*W; +%% Ðγɺ£É­²®¾ØÕó +%Ä¿±êº¯ÊýµÄº£É­²®¾ØÕó¨Œ2f(x) +if(opfGoal==2) + HSdfx=sparse(xNum,xNum); +else if(opfGoal==1) + HSdfx=sparse(transNum+1:transNum+pgNum,transNum+1:transNum+pgNum,2*a(pgNode),xNum,xNum);%½öÄ¿±êº¯Êý¶ÔPGÇóÆ«µ¼´¦µÄ¶Ô½ÇԪΪ·ÇÁãÔªËØ£¬ÆäËû¶¼Îª0 + else if(opfGoal==3) + d2ftei=-2*transG.*(e(transI)-e(transJ)); + d2ftej=-d2ftei; + d2ftfi=-2*transG.*(f(transI)-f(transJ)); + d2ftfj=-d2ftfi; + d2fte=sparse(1:transNum,transI,d2ftei,transNum,nodeNum)+sparse(1:transNum,transJ,d2ftej,transNum,nodeNum); + d2ftf=sparse(1:transNum,transI,d2ftfi,transNum,nodeNum)+sparse(1:transNum,transJ,d2ftfj,transNum,nodeNum); + d2fT0=sparse(transNum,transNum+pgvNum+capNum); + d2fT=[d2fT0 d2fte d2ftf]; + d2fPGQR=sparse(pgvNum,xNum); + d2fcapK=sparse(capNum,xNum); + d2fee=2*(G-sparse(1:nodeNum,1:nodeNum,sum(G,2),nodeNum,nodeNum)); + d2fff=d2fee; + zero_nodeNum=sparse(nodeNum,nodeNum); + d2f_ef_ef=[d2fee zero_nodeNum;zero_nodeNum d2fff]; + d2efT=[d2fte d2ftf]'; + d2f_ef=[d2efT sparse(2*nodeNum,pgvNum+capNum) d2f_ef_ef]; + HSdfx=[d2fT;d2fPGQR;d2fcapK;d2f_ef]; + else if(opfGoal==4) + d2ftei=2*transB.*(e(transI)-e(transJ)); + d2ftej=-d2ftei; + d2ftfi=2*transB.*(f(transI)-f(transJ)); + d2ftfj=-d2ftfi; + d2fte=sparse(1:transNum,transI,d2ftei,transNum,nodeNum)+sparse(1:transNum,transJ,d2ftej,transNum,nodeNum); + d2ftf=sparse(1:transNum,transI,d2ftfi,transNum,nodeNum)+sparse(1:transNum,transJ,d2ftfj,transNum,nodeNum); + d2fT0=sparse(transNum,transNum+pgvNum+capNum); + d2fT=[d2fT0 d2fte d2ftf]; + d2fPGQR=sparse(pgvNum,xNum); + d2fcapK=sparse(capNum,xNum); + d2fee=-2*(B-sparse(1:nodeNum,1:nodeNum,sum(B,2),nodeNum,nodeNum)); + d2fff=d2fee; + zero_nodeNum=sparse(nodeNum,nodeNum); + d2f_ef_ef=[d2fee zero_nodeNum;zero_nodeNum d2fff]; + d2efT=[d2fte d2ftf]'; + d2f_ef=[d2efT sparse(2*nodeNum,pgvNum+capNum) d2f_ef_ef]; + HSdfx=[d2fT;d2fPGQR;d2fcapK;d2f_ef]; + end + end + end +end +%µÈʽԼÊøº£É­²®¾ØÕóÓëÀ­¸ñÀÊÈÕ³Ë×ÓyµÄ³Ë»ý¨Œ2h(x)*y +y1=y(1:nodeNum,1); +y2=y(nodeNum+1:2*nodeNum,1); +dhT2=2*ef3.*(transG.*y1(transI)-transB.*y2(transI)); %¹¦ÂÊ·½³Ì¶Ô±äѹÆ÷±ä±ÈÇó¶þ´ÎÆ«µ¼ËùµÃµÄÁÐÏòÁ¿ +HSdhT=sparse(1:transNum,1:transNum,dhT2,transNum+pgvNum+capNum,transNum+pgvNum+capNum); +eiG=e(transI).*transG; +ejG=e(transJ).*transG; +eiB=e(transI).*transB; +ejB=e(transJ).*transB; +fiG=f(transI).*transG; +fjG=f(transJ).*transG; +fiB=f(transI).*transB; +fjB=f(transJ).*transB; +ejG_fjB=ejG-fjB; +ejGfjB=ejG+fjB; +fjGejB=fjG+ejB; +ejB_fjG=ejB-fjG; +eiGfiB=eiG+fiB; +eiG_fiB=eiG-fiB; +eiB_fiG=eiB-fiG; +fiGeiB=fiG+eiB; +dP2_ei_t=(4*eiG.*T-ejG_fjB).*y1(transI)-ejGfjB.*y1(transJ); +dP2_ej_t=-eiGfiB.*y1(transI)-eiG_fiB.*y1(transJ); +dQ2_ei_t=(-4*eiB.*T+fjGejB).*y2(transI)+ejB_fjG.*y2(transJ); +dQ2_ej_t=eiB_fiG.*y2(transI)+fiGeiB.*y2(transJ); +HSdh_et=sparse(1:transNum,transI,dP2_ei_t+dQ2_ei_t,transNum,nodeNum)+sparse(1:transNum,transJ,dP2_ej_t+dQ2_ej_t,transNum,nodeNum);%¹¦ÂÊ·½³ÌÏȶԱä±ÈÇóÆ«µ¼£¬ÔÙ¶Ôµçѹʵ²¿ÇóÆ«µ¼Ä£¿é +dP2_fi_t=(4*fiG.*T-fjGejB).*y1(transI)+ejB_fjG.*y1(transJ); +dP2_fj_t=eiB_fiG.*y1(transI)-fiGeiB.*y1(transJ); +dQ2_fi_t=(-4*fiB.*T-ejG_fjB).*y2(transI)+ejGfjB.*y2(transJ); +dQ2_fj_t=eiGfiB.*y2(transI)-eiG_fiB.*y2(transJ); +HSdh_ft=sparse(1:transNum,transI,dP2_fi_t+dQ2_fi_t,transNum,nodeNum)+sparse(1:transNum,transJ,dP2_fj_t+dQ2_fj_t,transNum,nodeNum);%¹¦ÂÊ·½³ÌÏȶԱä±ÈÇóÆ«µ¼£¬ÔÙ¶ÔµçѹÐ鲿ÇóÆ«µ¼Ä£¿é +HSdh_eft=[HSdh_et HSdh_ft]; +HSdh_tef=HSdh_eft'; +HSdhPQ=sparse(pgvNum,2*nodeNum); %¹¦ÂÊ·½³ÌÏȶÔPG¡¢QRÇóÆ«µ¼£¬ÔÙ¶ÔÆäËû±äÁ¿ÇóÆ«µ¼µÄ²¿·Ö +d2hcap_e=sparse(1:capNum,capI,2*e(capI).*y2(capI),capNum,nodeNum); %¹¦ÂÊ·½³ÌÏȶÔcapKÇóÆ«µ¼£¬ÔÙ¶ÔeÇóÆ«µ¼µÄ²¿·Ö +d2hcap_f=sparse(1:capNum,capI,2*f(capI).*y2(capI),capNum,nodeNum); %¹¦ÂÊ·½³ÌÏȶÔcapKÇóÆ«µ¼£¬ÔÙ¶ÔfÇóÆ«µ¼µÄ²¿·Ö +HSdhcap_ef=[d2hcap_e d2hcap_f]; +d2htPQ_ef=[HSdh_eft;HSdhPQ;HSdhcap_ef]; +HSdhtPQ=[HSdhT d2htPQ_ef]; +HSdhx1=sparse(m,pgvNum); +%³±Á÷·½³Ìº£É­¾ØÕó +diagy1=sparse(1:nodeNum,1:nodeNum,y1,nodeNum,nodeNum); +diagy2=sparse(1:nodeNum,1:nodeNum,y2,nodeNum,nodeNum); +HSdhey=-diagy1*G+diagy2*B+(-G*diagy1+B*diagy2); +HSdhefy=diagy1*B+diagy2*G-(B*diagy1+G*diagy2); +HSdhx2=[HSdhey HSdhefy;HSdhefy' HSdhey]; +HSdhx=[HSdhtPQ;HSdh_tef HSdhx1 HSdhcap_ef' HSdhx2]; +%Ðγɲ»µÈʽԼÊø¶þ½×Æ«µ¼µÄ¾ØÕó¨Œ2g(x)*(z+w) +ZWcl=z(transNum+pgvNum+capNum+nodeNum+1:end)+w(transNum+pgvNum+capNum+nodeNum+1:end); +ZWv=z(transNum+pgvNum+capNum+1:transNum+pgvNum+capNum+nodeNum)+w(transNum+pgvNum+capNum+1:transNum+pgvNum+capNum+nodeNum); +dgeiT=((2*e(transI)-e(transJ)).*transG+f(transJ).*transB).*ZWcl(lineNum-transNum+1:end); +dgejT=(-e(transI).*transG-f(transI).*transB).*ZWcl(lineNum-transNum+1:end); +dgeT=sparse(1:transNum,transI,dgeiT,transNum,nodeNum)+sparse(1:transNum,transJ,dgejT,transNum,nodeNum);%²»µÈʽԼÊøÏȶԱä±ÈÇóÆ«µ¼£¬ÔÙ¶ÔeÇóÆ«µ¼µÄÄ£¿é +dgfiT=((2*f(transI)-f(transJ)).*transG-e(transJ).*transB).*ZWcl(lineNum-transNum+1:end); +dgfjT=(-f(transI).*transG+e(transI).*transB).*ZWcl(lineNum-transNum+1:end); +dgfT=sparse(1:transNum,transI,dgfiT,transNum,nodeNum)+sparse(1:transNum,transJ,dgfjT,transNum,nodeNum);%²»µÈʽԼÊøÏȶԱä±ÈÇóÆ«µ¼£¬ÔÙ¶ÔfÇóÆ«µ¼µÄÄ£¿é +HSdgefT=[dgeT dgfT]; +HSdgT=[sparse(transNum,transNum+pgvNum+capNum) HSdgefT]; +HSdgee=sparse(lineI,lineI,2*GIJ.*ZWcl,nodeNum,nodeNum)-sparse(lineI,lineJ,GIJ.*ZWcl,nodeNum,nodeNum)... + -sparse(lineJ,lineI,GIJ.*ZWcl,nodeNum,nodeNum)+sparse(1:nodeNum,1:nodeNum,2*ZWv,nodeNum,nodeNum); +HSdgff=HSdgee; +HSdgef=sparse(lineI,lineJ,BIJ.*ZWcl,nodeNum,nodeNum)-sparse(lineJ,lineI,BIJ.*ZWcl,nodeNum,nodeNum); +HSdgfe=HSdgef'; +HSdgx1=[HSdgee HSdgef;HSdgfe HSdgff]; %ËùÓв»µÈʽԼÊø¶Ôe¡¢fÇó¶þ´ÎÆ«µ¼Ä£¿é +HSdgxtPQ_0=sparse(pgvNum+capNum,xNum); +HSdgef_0=[HSdgefT' sparse(2*nodeNum,pgvNum+capNum)]; +HSdgx=[HSdgT;HSdgxtPQ_0;HSdgef_0 HSdgx1]; %ºÏ³É²»µÈʽԼÊøº£É­¾ØÕó +%ÇóºÍÐγÉH(.)¾ØÕó. +dgxT=dgx'; %ÇódgxµÄתÖà +MULdgx=dgx*(UW-LZ)*dgxT; +H=HSdhx+HSdgx-HSdfx+MULdgx; %ÇóºÍÐγÉH(.)¾ØÕó. +%% ¸ù¾ÝÒÔÉÏËùÇóµÄ¸÷¸ö¾ØÕóºÏ³Éº£É­²®¾ØÕó +HSB0=sparse(m,m); +HSB=[H dhx;dhx' HSB0]; +balN=transNum+pgvNum+capNum+nodeNum+balNode; +HSB(balN,:)=0; %±£³Öƽºâ½ÚµãµçѹÐ鲿²»±ä£¬Ê¼ÖÕΪ0£¬¼´½«º£É­¾ØÕóÖÐƽºâ½ÚµãÐ鲿Ëù¶ÔÓ¦µÄÐÐÁÐÔªËØÖÃ0£¬¶Ô½ÇÔªËØÖÃ1 +HSB(:,balN)=0; +HSB_balN=sub2ind(size(HSB),balN,balN); +HSB(HSB_balN)=ones(balNum,1); +balN1=transNum+pgvNum+capNum+balNode; +HSB(balN1,:)=0; %±£³Öƽºâ½Úµãµçѹʵ²¿²»±ä£¬Ê¼ÖÕΪ0£¬¼´½«º£É­¾ØÕóÖÐƽºâ½Úµãʵ²¿Ëù¶ÔÓ¦µÄÐÐÁÐÔªËØÖÃ0£¬¶Ô½ÇÔªËØÖÃ1 +HSB(:,balN1)=0; +HSB_balN1=sub2ind(size(HSB),balN1,balN1); +HSB(HSB_balN1)=ones(balNum,1); +HSB=sparse(HSB); diff --git a/NCP函数法/formY.m b/NCP函数法/formY.m new file mode 100644 index 0000000..83e7e8e --- /dev/null +++ b/NCP函数法/formY.m @@ -0,0 +1,60 @@ +function [G,B,transY,transG,transB,transG1,transB1,transNum,lineNum,lineI,lineJ,lineB,transI,transJ,transK0,transKmin,transKmax]=... + formY(nodeNum,mtrLine,mtrGround,mtrTrans,capI,capK) +%³ÌÐò¹¦ÄÜ£ºÐγɽڵ㵼ÄɾØÕó +%±àдʱ¼ä£º2010Äê11Ô + +%±äÁ¿¶¨Ò壺 +%G--µçµ¼¾ØÕó,B--µçÄɾØÕó£¬lineI,lineJ--½ÚµãÐòºÅ£¬lineR--Ïß·µç×è +%lineX--Ïß·µç¿¹£¬groundI--½ÓµØ֧·½ÚµãÐòºÅ +%groundR--½ÓµØ֧·µç×裬groundX--½ÓµØ֧·µç¿¹ +%transI£¬transJ--±äѹÆ÷֧·½ÚµãÐòºÅ +%transR--±äѹÆ÷֧·µç×裬transX--±äѹÆ÷֧·µç¿¹ +%transK--±äѹÆ÷±ä±È +%transG--±äѹÆ÷֧·µÈЧµçµ¼£¬transB--±äѹÆ÷֧·µÈЧµçÄÉ + +%% ÀûÓÃÏß·ºÍ½ÓµØ֧·²ÎÊýÐγɵ¼ÄɾØÕó +lineI=mtrLine(:,2); +lineJ=mtrLine(:,3); +lineR=mtrLine(:,4); +lineX=mtrLine(:,5); +lineB=mtrLine(:,6); +groundI=mtrGround(:,1); +groundX=mtrGround(:,2); +Yij=1./(lineR+j*lineX); +Y1=-sparse(lineI,lineJ,Yij,nodeNum,nodeNum)-sparse(lineJ,lineI,Yij,nodeNum,nodeNum)... + +sparse(lineI,lineI,Yij+j*lineB,nodeNum,nodeNum)+sparse(lineJ,lineJ,Yij+j*lineB,nodeNum,nodeNum)... + +sparse(groundI,groundI,j*groundX,nodeNum,nodeNum)+sparse(capI,capI,j*capK,nodeNum,nodeNum); +%% ¼ÓÈë±äѹÆ÷֧·Ð޸ĵ¼ÄɾØÕó +transIall=mtrTrans(:,2); +transJall=mtrTrans(:,3); +transR=mtrTrans(:,4); +transX=mtrTrans(:,5); +transK0all=mtrTrans(:,6); +lineNum=length(lineI)+length(transIall); +transY=1./(transR+j*transX); +Y1=Y1-sparse(transIall,transJall,transY./transK0all,nodeNum,nodeNum)-sparse(transJall,transIall,transY./transK0all,nodeNum,nodeNum)... + +sparse(transIall,transIall,transY./transK0all./transK0all,nodeNum,nodeNum)+sparse(transJall,transJall,transY,nodeNum,nodeNum); +Yt=sparse(transIall,transJall,-transY,nodeNum,nodeNum); %ÕâÑù´¦ÀíÊÇÒòΪÓÐÁ½Ì¨±äѹÆ÷Á½¶ËµÄ½ÚµãºÅÏàͬ£¬±ÜÃâÔÚ¸üнڵ㵼ÄɾØÕóʱֻʶ±ðһ̨±äѹÆ÷ +transIJ=sub2ind(size(Yt),transIall,transJall); +transYt=Yt(transIJ); +transCtrl=mtrTrans(:,9); +ctrTransNum=find(transCtrl); +transI=transIall(ctrTransNum); +transJ=transJall(ctrTransNum); +transKmax=1/0.9*ones(size(transI)); +transKmin=1/1.1*ones(size(transI)); +transK0=transK0all(ctrTransNum); +transG=real(transYt(ctrTransNum)); +transB=imag(transYt(ctrTransNum)); +transG1=-real(transY(ctrTransNum)); %Ö®ËùÒÔҪȡ¸ººÅÊÇÒòΪtransG¡¢transBÊÇ×÷Ϊµ¼ÄɾØÕóÖеĻ¥µ¼ÄÉÀ´Óã¬ÔÚ¼ÆËã×Ôµ¼ÄɵÄʱºò×¢ÒâÒªÓÃ-transG¡¢-transB!!!! +transB1=-imag(transY(ctrTransNum)); +transNum=length(transI); +lineI=[lineI;transI]; %½«Ïß·ºÍ±äѹÆ÷֧·µÄ±àºÅºÏ²¢£¬ÔÚºóÃæÏß·ԼÊøµÄʱºòͬʱ´¦Àí +lineJ=[lineJ;transJ]; +lineNum=lineNum-length(transIall)+transNum; +%% Çó½Úµãµ¼ÄɵķùÖµºÍÏà½Ç +[Yrows,Ycols,Y1] = find(Y1); +G=real(Y1); +B=imag(Y1); +G=sparse(Yrows,Ycols,G,nodeNum,nodeNum); +B=sparse(Yrows,Ycols,B,nodeNum,nodeNum); \ No newline at end of file diff --git a/NCP函数法/formY_RPP.m b/NCP函数法/formY_RPP.m new file mode 100644 index 0000000..741014a --- /dev/null +++ b/NCP函数法/formY_RPP.m @@ -0,0 +1,75 @@ +function [G,B,lineI,lineJ,lineB,transI,transJ,transK0,transNum,transKmin,transKmax,capI,capGi,capBi,capK,capKmin,capKmax,capNum,transG,transB,transG1,transB1,lineNum]=... + formY_RPP(nodeNum,lineNum,mtrLine,mtrGround,mtrTrans,mtrCapacitor) +%³ÌÐò¹¦ÄÜ£ºÐγɽڵ㵼ÄɾØÕó +%±àдʱ¼ä£º2010Äê11Ô +%±äÁ¿¶¨Ò壺 + +%% ÀûÓÃÏß·ºÍ½ÓµØ֧·²ÎÊýÐγɵ¼ÄɾØÕó +%Ïß·²ÎÊý +lineI=mtrLine(:,2); +lineJ=mtrLine(:,3); +lineR=mtrLine(:,4); +lineX=mtrLine(:,5); +lineB=mtrLine(:,6); +%½ÓµØ֧·Êý¾Ý +groundI=mtrGround(:,2); +groundG=mtrGround(:,3); +groundB=mtrGround(:,4); +%µçÈÝÆ÷²ÎÊý +capCtrl=mtrCapacitor(:,2); +capCtrl=ones(length(capCtrl),1); +capIall=mtrCapacitor(:,3); +capGiall=mtrCapacitor(:,4); +capBiall=mtrCapacitor(:,5); +capKall=mtrCapacitor(:,6); +capKminall=mtrCapacitor(:,7); +capKmaxall=mtrCapacitor(:,8); + +Yij=1./(lineR+j*lineX); +Y1=-sparse(lineI,lineJ,Yij,nodeNum,nodeNum)-sparse(lineJ,lineI,Yij,nodeNum,nodeNum)... + +sparse(lineI,lineI,Yij+j*lineB,nodeNum,nodeNum)+sparse(lineJ,lineJ,Yij+j*lineB,nodeNum,nodeNum)... + +sparse(groundI,groundI,groundG+j*groundB,nodeNum,nodeNum)... + +sparse(capIall,capIall,j*capKall,nodeNum,nodeNum); +%±£Áô¿Éµ÷µçÈݵ翹Æ÷²ÎÊý +capCtrlNode=find(capCtrl); +capI=capIall(capCtrlNode); +capGi=capGiall(capCtrlNode); +capBi=capBiall(capCtrlNode); +capK=capKall(capCtrlNode); +capKmin=capKminall(capCtrlNode); +capKmax=capKmaxall(capCtrlNode); +capNum=length(capI); +%% ¼ÓÈë±äѹÆ÷֧·Ð޸ĵ¼ÄɾØÕó +transCtrl=mtrTrans(:,2); +transIall=mtrTrans(:,3); +transJall=mtrTrans(:,4); +transR=mtrTrans(:,5); +transX=mtrTrans(:,6); +transK0all=mtrTrans(:,7); +transY=1./(transR+j*transX); +Y1=Y1-sparse(transIall,transJall,transY./transK0all,nodeNum,nodeNum)-sparse(transJall,transIall,transY./transK0all,nodeNum,nodeNum)... + +sparse(transIall,transIall,transY./transK0all./transK0all,nodeNum,nodeNum)+sparse(transJall,transJall,transY,nodeNum,nodeNum); +Yt=sparse(transIall,transJall,-transY,nodeNum,nodeNum); %ÕâÑù´¦ÀíÊÇÒòΪÓÐÁ½Ì¨±äѹÆ÷Á½¶ËµÄ½ÚµãºÅÏàͬ£¬±ÜÃâÔÚ¸üнڵ㵼ÄɾØÕóʱֻʶ±ðһ̨±äѹÆ÷ +transIJ=sub2ind(size(Yt),transIall,transJall); +transYt=Yt(transIJ); +%±£Áô¿Éµ÷±äѹÆ÷²ÎÊý +ctrTransNum=find(transCtrl); +transI=transIall(ctrTransNum); +transJ=transJall(ctrTransNum); +transKmax=1/0.9*ones(size(transI)); +transKmin=1/1.1*ones(size(transI)); +transK0=transK0all(ctrTransNum); +transG=real(transYt(ctrTransNum)); +transB=imag(transYt(ctrTransNum)); +transG1=-real(transY(ctrTransNum)); %Ö®ËùÒÔҪȡ¸ººÅÊÇÒòΪtransG¡¢transBÊÇ×÷Ϊµ¼ÄɾØÕóÖеĻ¥µ¼ÄÉÀ´Óã¬ÔÚ¼ÆËã×Ôµ¼ÄɵÄʱºò×¢ÒâÒªÓÃ-transG¡¢-transB!!!! +transB1=-imag(transY(ctrTransNum)); +transNum=length(transI); +lineI=[lineI;transI]; %½«Ïß·ºÍ±äѹÆ÷֧·µÄ±àºÅºÏ²¢£¬ÔÚºóÃæÏß·ԼÊøµÄʱºòͬʱ´¦Àí +lineJ=[lineJ;transJ]; +lineNum=lineNum+transNum; +%% Çó½Úµãµ¼ÄɵķùÖµºÍÏà½Ç +[Yrows,Ycols,Y1] = find(Y1); +G=real(Y1); +B=imag(Y1); +G=sparse(Yrows,Ycols,G,nodeNum,nodeNum); +B=sparse(Yrows,Ycols,B,nodeNum,nodeNum); \ No newline at end of file diff --git a/NCP函数法/linesearch.m b/NCP函数法/linesearch.m new file mode 100644 index 0000000..645ad4c --- /dev/null +++ b/NCP函数法/linesearch.m @@ -0,0 +1,188 @@ +function [mk,meritF,stepp,stepd]=linesearch(r,nodeNum,balNode,pgNum,pvNum,pgvNum,xNum,transNum,pgNode,pvNode,m,x,y,z,l,u,w,G,B,transI,transJ,transG,... + transB,transG1,transB1,Tn,capKn,capNum,capI,Tn1,capKn1,PG,QR,Pg,Qg,dx,dl,du,dy,dz,dw,opfGoal,Gama,Arlfa,meritF,k2,mu,T,capK,lineNum,lineI,... + lineJ,Pd,Qd,gxx,gsx,mut,mub,stepp,stepd) +%³ÌÐò¹¦ÄÜ£º¹â»¬´¦Àí¹ý³Ì£¬Çó²½³¤ +%±àдʱ¼ä£º2010Äê11Ô + +mk=0; +kk=k2; +isOK=0; +while isOK==0&&mk<10 + %¸üÐÂÁÙʱ±äÁ¿ + xk=x+Arlfa.^mk*dx; + lk=l+Arlfa.^mk*dl; + uk=u+Arlfa.^mk*du; + yk=y+Arlfa.^mk*dy; + zk=z+Arlfa.^mk*dz; + wk=w+Arlfa.^mk*dw; + %¸üÐÂÁÙʱ¿ØÖƱäÁ¿ºÍ״̬±äÁ¿µÄÖµ + Tlastk=T; + capKlastk=capK; + T=xk(1:transNum,1); + capK=xk(transNum+pgvNum+1:transNum+pgvNum+capNum); + PG(pgNode,1)=xk(transNum+1:transNum+pgNum,1); + QR(pvNode,1)=xk(transNum+pgNum+1:transNum+pgNum+pvNum,1); + e=xk(transNum+pgNum+pvNum+capNum+1:transNum+pgNum+pvNum+capNum+nodeNum,1); + f=xk(transNum+pgNum+pvNum+capNum+nodeNum+1:xNum,1); + + %±ä±È±ä»¯ºóÐèÐÞÕý½Úµãµ¼ÄɾØÕó + G=G-sparse(transI,transI,(T.*T-Tlastk.*Tlastk).*transG1,nodeNum,nodeNum)... + +sparse(transI,transJ,transG1.*(T-Tlastk),nodeNum,nodeNum)... + +sparse(transJ,transI,transG1.*(T-Tlastk),nodeNum,nodeNum); + B=B-sparse(transI,transI,(T.*T-Tlastk.*Tlastk).*transB1,nodeNum,nodeNum)... + +sparse(transI,transJ,transB1.*(T-Tlastk),nodeNum,nodeNum)... + +sparse(transJ,transI,transB1.*(T-Tlastk),nodeNum,nodeNum)... + +sparse(capI,capI,capK-capKlastk,nodeNum,nodeNum); + %% ÐγɵÈʽԼÊøÑſɱȾØÕó + Ezu=exp(-(T-Tn)./mut); + Ezu_1=exp(-(Tn1-T)./mut); + dT_Zt=1; + dNCPT=-mut.*log(Ezu+Ezu_1); %±ä±È¶ÔÓ¦µÄÄý¾Ûº¯Êý³£ÊýÏî + dNCPT_dt=(Ezu-Ezu_1)./(Ezu+Ezu_1); %Äý¾Ûº¯Êý¶ÔTÇóÒ»´ÎÆ«µ¼ + transGmut=transG.*dT_Zt; + transBmut=transB.*dT_Zt; + + Ezbu=exp((capKn-capK)./mub); + Ezbu_1=exp((capK-capKn1)./mub); + dNCPcap=-mub.*log(Ezbu+Ezbu_1); %µçÈݵ翹Æ÷¶ÔÓ¦µÄÄý¾Ûº¯Êý³£ÊýÏî + dNCP_dcap=(Ezbu-Ezbu_1)./(Ezbu+Ezbu_1); %Äý¾Ûº¯Êý¶ÔcapKÇóÒ»´ÎÆ«µ¼ + + ef1=e(transI).*e(transJ)+f(transI).*f(transJ); + ef2=e(transI).*f(transJ)-e(transJ).*f(transI); + ef3=e(transI).*e(transI)+f(transI).*f(transI); + ef1G=ef1.*transGmut; + ef1B=ef1.*transBmut; + ef2G=ef2.*transGmut; + ef2B=ef2.*transBmut; + dhPTi=-ef1G+ef2B+2*ef3.*transGmut.*T; + dhPTj=-ef1G-ef2B; + dhPT=sparse(1:transNum,transI,dhPTi,transNum,nodeNum)+sparse(1:transNum,transJ,dhPTj,transNum,nodeNum);%Óй¦Æ½ºâ·½³ÌP¶Ô±äѹÆ÷±ä±ÈÇóÆ«µ¼ + dhQTi=ef1B+ef2G-2*ef3.*transBmut.*T; + dhQTj=ef1B-ef2G; + dhQT=sparse(1:transNum,transI,dhQTi,transNum,nodeNum)+sparse(1:transNum,transJ,dhQTj,transNum,nodeNum);%ÎÞ¹¦Æ½ºâ·½³ÌQ¶Ô±äѹÆ÷±ä±ÈÇóÆ«µ¼ + dhNCP_T=sparse(1:transNum,1:transNum,dNCPT_dt,transNum,transNum+capNum); + dhP=sparse(1:pgNum,pgNode,ones(pgNum,1),pgNum,m); + dhQ1=sparse(1:pvNum,pvNode,ones(pvNum,1),pvNum,m-nodeNum); + dhQ=[sparse(pvNum,nodeNum) dhQ1]; + dhcapK1=sparse(1:capNum,capI,(e(capI).^2+f(capI).^2),capNum,nodeNum); %2011Äê10ÔÂ5ÈÕÐ޸ģ¬È¥µô.*capBi_dBci + dhNCP_capK=sparse(1:capNum,transNum+1:transNum+capNum,dNCP_dcap,capNum,transNum+capNum); + dhcapK=[sparse(capNum,nodeNum) dhcapK1 dhNCP_capK]; + %Ðγɹ¦ÂÊ·½³ÌÑſɱȾØÕó + H1=G*e-B*f; + N1=G*f+B*e; + diagE=sparse(1:nodeNum,1:nodeNum,e,nodeNum,nodeNum); + diagF=sparse(1:nodeNum,1:nodeNum,f,nodeNum,nodeNum); + deG=diagE*G; + dfB=diagF*B; + deB=diagE*B; + dfG=diagF*G; + dH1=sparse(1:nodeNum,1:nodeNum,H1,nodeNum,nodeNum); + dN1=sparse(1:nodeNum,1:nodeNum,N1,nodeNum,nodeNum); + Hij=-dH1-deG-dfB; + Nij=-dN1+deB-dfG; + Jij=dN1-dfG+deB; + Lij=-dH1+dfB+deG; + dhJacb=[Hij Nij;Jij Lij]'; %ºÏ²¢Ðγɹ¦ÂÊ·½³ÌµÄÑſɱȾØÕó + dhT=[dhPT dhQT dhNCP_T]; %ºÏ²¢ÐγɵÈʽԼÊøÑſɱȾØÕóh(x) + dhx=[dhT;dhP;dhQ;dhcapK;dhJacb sparse(2*nodeNum,transNum+capNum)]; + %% Ðγɲ»µÈʽԼÊøÑſɱȾØÕó¨Œg(x) + gtransNum=0; %±ä±ÈÉÏÏÂÏÞÔ¼ÊøάÊý£¬ÓÃNCPº¯Êýºó£¬Ôò²»ÐèÒªÔÙÔ¼ÊøÆäÉÏÏÂÏÞ + gcapNum=0; + dgT1=sparse(transNum,r-lineNum); + dglT=(e(transI).^2+f(transI).^2-e(transI).*e(transJ)-f(transI).*f(transJ)).*transGmut+(e(transI).*f(transJ)-e(transJ).*f(transI)).*transBmut; + dgT2=sparse(1:transNum,lineNum-transNum+1:lineNum,dglT,transNum,lineNum); + dgT=[dgT1 dgT2]; %ËùÓв»µÈʽԼÊø¶ÔTÇóµ¼µÄÄ£¿é + dgP=sparse(1:pgNum,gtransNum+1:gtransNum+pgNum,ones(pgNum,1),pgNum,r); %ËùÓв»µÈʽԼÊø¶ÔPÇóµ¼µÄÄ£¿é + dgQ=sparse(1:pvNum,gtransNum+pgNum+1:gtransNum+pgvNum,ones(pvNum,1),pvNum,r);%ËùÓв»µÈʽԼÊø¶ÔQÇóµ¼µÄÄ£¿é + dgcapK=sparse(capNum,r); %ËùÓв»µÈʽԼÊø¶ÔcapKÇóµ¼µÄÄ£¿é + dgve=2*diagE; + dgvf=2*diagF; + sizeG=size(G); + GIJ=G(sub2ind(sizeG,lineI,lineJ)); + BIJ=B(sub2ind(sizeG,lineI,lineJ)); + dgleI=(2*e(lineI)-e(lineJ)).*GIJ+f(lineJ).*BIJ; + dgleJ=-e(lineI).*GIJ-f(lineI).*BIJ; + dglfI=(2*f(lineI)-f(lineJ)).*GIJ-e(lineJ).*BIJ; + dglfJ=-f(lineI).*GIJ+e(lineI).*BIJ; + dgle=sparse(lineI,(1:lineNum),dgleI,nodeNum,lineNum)+sparse(lineJ,(1:lineNum),dgleJ,nodeNum,lineNum); + dglf=sparse(lineI,(1:lineNum),dglfI,nodeNum,lineNum)+sparse(lineJ,(1:lineNum),dglfJ,nodeNum,lineNum); + dg0=sparse(2*nodeNum,gtransNum+pgvNum+gcapNum); + dgvl=[dgve dgle;dgvf dglf]; + dgef=[dg0 dgvl]; %ËùÓв»µÈʽԼÊø¶Ôµçѹʵ²¿¡¢Ð鲿ÇóÆ«µ¼µÄÄ£¿é + dgx=[dgT;dgP;dgQ;dgcapK;dgef]; %²»µÈʽԼÊøÑſ˱ȾØÕó + %% ÐγɶԽÇÕó + Z=sparse(1:r,1:r,zk,r,r); + W=sparse(1:r,1:r,wk,r,r); + L1=sparse(1:r,1:r,1./lk,r,r); + U1=sparse(1:r,1:r,1./uk,r,r); + LZ=L1*Z; + UW=U1*W; + Ll=(lk.*zk-mu*ones(r,1)); + Lu=(uk.*wk+mu*ones(r,1)); + + %% ÐγÉÄ¿±êº¯ÊýÒ»½×Æ«µ¼¾ØÕó¨Œf(.) + if(opfGoal==2) + dPG=ones(pgNum,1); + dfx=sparse(transNum+1:transNum+pgNum,ones(pgNum,1),dPG,xNum,1); + else if(opfGoal==1) + dPG=2*a(pgNode).*PG(pgNode)+b(pgNode); + dfx=sparse(transNum+1:transNum+pgNum,ones(pgNum,1),dPG,xNum,1); + else if(opfGoal==3) + dfT=-1*transG.*dT_Zt.*((f(transI)-f(transJ)).^2+(e(transI)-e(transJ)).^2); + dfPQ=zeros(pgvNum,1); + dfcapK=zeros(capNum,1); + EE=e*ones(1,nodeNum); + FF=f*ones(1,nodeNum); + dfe=2*sum(G.*(EE-EE')); + dff=2*sum(G.*(FF-FF')); + dfx=[dfT;dfPQ;dfcapK;dfe';dff']; + else if(opfGoal==4) + dfT=1*transB.*dT_Zt.*((f(transI)-f(transJ)).^2+(e(transI)-e(transJ)).^2); + dfPQ=zeros(pgvNum,1); + dfcapK=zeros(capNum,1); + EE=e*ones(1,nodeNum); + FF=f*ones(1,nodeNum); + dfe=-2*sum(B.*(EE-EE')); + dff=-2*sum(B.*(FF-FF')); + dfx=[dfT;dfPQ;dfcapK;dfe';dff']; + end + end + end + end + %% ²»µÈʽԼÊøÏî + gxv=[PG(pgNode);QR(pvNode);e.^2+f.^2]; + gxl=(e(lineI).*e(lineI)+f(lineI).*f(lineI)-e(lineI).*e(lineJ)-f(lineI).*f(lineJ)).*GIJ+(e(lineI).*f(lineJ)-e(lineJ).*f(lineI)).*BIJ;%Ïß·¹¦Âʵ±Ç°Öµ + gx=[gxv;gxl]; %Ô¼ÊøÌõ¼þµ±Ç°Öµ + Lz=gx-lk-gxx; + Lw=gx+uk-gsx; + muUL=mu*(U1-L1); + BB1=UW*Lw-LZ*Lz-muUL*ones(r,1); + BB=dhx*yk-dfx+dgx*BB1; + BB(transNum+pgvNum+capNum+nodeNum+balNode,1)=0; %±£³Öƽºâ½ÚµãµçѹÐ鲿²»±ä£¬Ê¼ÖÕΪ0£¬Ôò³£ÊýÏîƽºâ½Úµã´¦ÖÃ0 + BB(transNum+pgvNum+capNum+balNode,1)=0; + %% µÈʽԼÊø²»Æ½ºâÁ¿ + Pg(pgNode)=PG(pgNode); + Qg(pvNode)=QR(pvNode); + P=Pg-Pd; + Q=Qg-Qd; + dP=P-diagE*H1-diagF*N1; + dQ=Q-diagF*H1+diagE*N1; + + hx=[dP;dQ;dNCPT;dNCPcap]; %ÐÞÕý·½³Ì³£ÊýÏîh(x) + const=[BB;hx]; %ÐÞÕý·½³Ì³£ÊýÏîÏòÁ¿ + L3=-L1*(Z*Lz+Ll); + L4=U1*(W*Lw-Lu); + L5=Lz; + L6=Lw; + f_NCP=[const;L3;L4;L5;L6]; + f_NCPsum=(f_NCP'*f_NCP)/2; + maxfk=max(meritF(kk-min(10,kk)+1:end)); + f3=maxfk-Gama*(Arlfa.^mk)*meritF(kk); + if f_NCPsum<=f3 + isOK=1; %Âú×ãÌõ¼þ£¬Ìø³ö + else + mk=mk+1; %²»Âú×ãÌõ¼þ£¬¼ÌÐøËÑË÷ + end +end +stepp=stepp*Arlfa.^mk; +stepd=stepd*Arlfa.^mk; \ No newline at end of file diff --git a/NCP函数法/midResult.m b/NCP函数法/midResult.m new file mode 100644 index 0000000..600c4e3 --- /dev/null +++ b/NCP函数法/midResult.m @@ -0,0 +1,125 @@ +function [mut,mub,dNCPT,dNCPT_dt,d2NCPT_dt2,dT_Zt,transGmut,transBmut,dNCPcap,dNCP_dcap,d2NCP_dcap2,capBi_dBci,H1,N1,diagE,diagF,hx,Gap,max_hx,fx,... + Pg,Qg,xz1,dmaxOut1,xz2,dmaxOut2,xz3,dmaxOut3,xz4,dmaxOut4,PGR,Tn,kt0,capKn,q0,Tn1,capKn1,T,G]=midResult(nodeNum,pgNode,opfGoal,z,l,u,w,Pg,Qg,... + e,f,G,B,a,b,c,PG,Pd,Qd,k,xz1,dmaxOut1,xz2,dmaxOut2,xz3,dmaxOut3,xz4,dmaxOut4,times,mut,mub,oneTrans,oneCap,para3,accuracy,T,capK,transKmin,transKmax,... + capKmin,capBi,mu,transNum,transG,transB,Tn,Tn1,capKn,capKn1,kt0,q0,mismatch) +%³ÌÐò¹¦ÄÜ£º¼ÆËãÿ´Îµü´úºóµÄÄ¿±êº¯ÊýÖµºÍµÈʽԼÊøµÄ×î´ó²»Æ½ºâÁ¿£¬²¢¸ù¾Ýÿ²½µü´ú½á¹ûÐÞÕý¹â»¬²ÎÊý +%±àдʱ¼ä£º2010Äê11Ô + +Gap=l'*z-u'*w; %¼ÆË㻥²¹¼ä϶ +PGR=PG; +if(opfGoal==2) + sumP=sum(Pg); + sumPd=sum(Pd); + fx=sumP-sumPd; +else if(opfGoal==1) + fx=sum(a(pgNode).*PGR(pgNode).*PGR(pgNode)+b(pgNode).*PGR(pgNode)+c(pgNode)); + else if(opfGoal==3) + EE=e*ones(1,nodeNum); + FF=f*ones(1,nodeNum); + fx=-0.5*sum(sum(G.*((EE-EE').^2+(FF-FF').^2),2)); + else if(opfGoal==4) + EE=e*ones(1,nodeNum); + FF=f*ones(1,nodeNum); + fx=0.5*sum(sum(B.*((EE-EE').^2+(FF-FF').^2),2)); + end + end + end +end +H1=G*e-B*f; +N1=G*f+B*e; +diagE=sparse(1:nodeNum,1:nodeNum,e,nodeNum,nodeNum); +diagF=sparse(1:nodeNum,1:nodeNum,f,nodeNum,nodeNum); +P=Pg-Pd; +Q=Qg-Qd; +dP=P-diagE*H1-diagF*N1; +dQ=Q-diagF*H1+diagE*N1; +firstOK=0; +hx=[dP;dQ]; +tmpmax_hx=max(abs(hx)); +if Gap0); +dwmin=min(-w(minusdw)./dw(minusdw)); +minusdu=find(du<0); +dumin=min(-u(minusdu)./du(minusdu)); + +ap=min(dlmin,dumin); +ad=min(dzmin,dwmin); +stepp=0.9995*min(ap,1); +stepd=0.9995*min(ad,1); + +%% һάÏßÐÔËÑË÷£¬Çó²½³¤ +[mk,meritF,stepp,stepd]=linesearch(r,nodeNum,balNode,pgNum,pvNum,pgvNum,... + xNum,transNum,pgNode,pvNode,m,x,y,z,l,u,w,G,B,transI,transJ,transG,transB,transG,transB,... + Tn,capKn,capNum,capI,Tn1,capKn1,PG,QR,Pg,Qg,dx,dl,du,dy,dz,dw,... + opfGoal,Gama,Arlfa,meritF,k2,mu,T,capK,lineNum,lineI,lineJ,Pd,Qd,gxx,gsx,mut,mub,stepp,stepd); +%% ¸üбäÁ¿ +x=x+stepp*dx; +l=l+stepp*dl; +u=u+stepp*du; +y=y+stepd*dy; +z=z+stepd*dz; +w=w+stepd*dw; +%±£ÁôÉÏÒ»´Î¼ÆËãµÄ±ä±È£¬ÓÃÓÚÐÞÕý½Úµãµ¼ÄɾØÕó +Tlast=T; +capKlast=capK; +%¸ø¿ØÖƱäÁ¿¡¢×´Ì¬±äÁ¿ÖØи³Öµ +T=x(1:transNum,1); +capK=x(transNum+pgvNum+1:transNum+pgvNum+capNum); +PG(pgNode,1)=x(transNum+1:transNum+pgNum,1); +QR(pvNode,1)=x(transNum+pgNum+1:transNum+pgNum+pvNum,1); +e=x(transNum+pgNum+pvNum+capNum+1:transNum+pgNum+pvNum+capNum+nodeNum,1); +f=x(transNum+pgNum+pvNum+capNum+nodeNum+1:xNum,1); +Pg(pgNode)=PG(pgNode); +Qg(pvNode)=QR(pvNode); +%% ±ä±È±ä»¯ºóÐèÐÞÕý½Úµãµ¼ÄɾØÕó +transG=transG1; +transB=transB1; +G=G-sparse(transI,transI,(T.*T-Tlast.*Tlast).*transG,nodeNum,nodeNum)... + +sparse(transI,transJ,transG.*(T-Tlast),nodeNum,nodeNum)... + +sparse(transJ,transI,transG.*(T-Tlast),nodeNum,nodeNum); +B=B-sparse(transI,transI,(T.*T-Tlast.*Tlast).*transB,nodeNum,nodeNum)... + +sparse(transI,transJ,transB.*(T-Tlast),nodeNum,nodeNum)... + +sparse(transJ,transI,transB.*(T-Tlast),nodeNum,nodeNum)... + +sparse(capI,capI,capK-capKlast,nodeNum,nodeNum); diff --git a/NCP函数法/solve.m b/NCP函数法/solve.m new file mode 100644 index 0000000..b727397 --- /dev/null +++ b/NCP函数法/solve.m @@ -0,0 +1,101 @@ +function [z,l,u,w,x,y,PG,QR,Pg,Qg,e,f,T,capK,G,B]=solve(HSB,const,mu,r,nodeNum,balNode,pgNum,pvNum,xNum,transNum,capNum,capI,capBi,capK,... + pgNode,pvNode,m,x,y,z,l,u,w,Lz,Lw,LZ,UW,dgxT,L1,U1,G,B,transI,transJ,T,transG,transB,transG1,transB1,PG,QR,Pg,Qg) +%³ÌÐò¹¦ÄÜ£ºÔ¤¼ÆËã¹ý³Ì£¬Çó½âÐÞÕý·½³Ì +%±àдʱ¼ä£º2010Äê11Ô + +%% Çó½â·½³Ì£¬Çó³ö¸÷±äÁ¿µÄÐÞÕýÁ¿ +dX=-HSB\const; +dx=dX(1:xNum,1); +dy=dX(xNum+1:xNum+m,1); +dl=dgxT*dx+Lz; +du=-dgxT*dx-Lw; +Ll=(l.*z-mu*ones(r,1)); +Lu=(u.*w+mu*ones(r,1)); +diagZ=sparse(1:r,1:r,z,r,r); +diagW=sparse(1:r,1:r,w,r,r); +dz=-LZ*dgxT*dx-L1*(diagZ*Lz+Ll); +dw=UW*dgxT*dx+U1*(diagW*Lw-Lu); +%% Çó×î´ó²½³¤ +minusdz=find(dz<0); +dzmin=min(-z(minusdz)./dz(minusdz)); +minusdl=find(dl<0); +dlmin=min(-l(minusdl)./dl(minusdl)); +minusdw=find(dw>0); +dwmin=min(-w(minusdw)./dw(minusdw)); +minusdu=find(du<0); +dumin=min(-u(minusdu)./du(minusdu)); + +ap=min(dlmin,dumin); +ad=min(dzmin,dwmin); +stepp=0.9995*min(ap,1); +stepd=0.9995*min(ad,1); +%% ¸üбäÁ¿ +x=x+stepp*dx; +l=l+stepp*dl; +u=u+stepp*du; +y=y+stepd*dy; +z=z+stepd*dz; +w=w+stepd*dw; +%% ¸ø¿ØÖƱäÁ¿¡¢×´Ì¬±äÁ¿ÖØи³Öµ +Tlast=T; %±£ÁôÉÏÒ»´Î¼ÆËãµÄ±ä±È£¬ÓÃÓÚÐÞÕý½Úµãµ¼ÄɾØÕó +capKlast=capK; +T=x(1:transNum,1); +PG(pgNode,1)=x(transNum+1:transNum+pgNum,1); +QR(pvNode,1)=x(transNum+pgNum+1:transNum+pgNum+pvNum,1); +capK=x(transNum+pgNum+pvNum+1:transNum+pgNum+pvNum+capNum,1); +e=x(transNum+pgNum+pvNum+capNum+1:transNum+pgNum+pvNum+capNum+nodeNum,1); +f=x(transNum+pgNum+pvNum+capNum+nodeNum+1:xNum,1); +Pg(pgNode)=PG(pgNode); +Qg(pvNode)=QR(pvNode); +%% ±ä±È±ä»¯ºóÐèÐÞÕý½Úµãµ¼ÄɾØÕó +transG=transG1; +transB=transB1; +G=G-sparse(transI,transI,(T.*T-Tlast.*Tlast).*transG,nodeNum,nodeNum)... + +sparse(transI,transJ,transG.*(T-Tlast),nodeNum,nodeNum)... + +sparse(transJ,transI,transG.*(T-Tlast),nodeNum,nodeNum); +B=B-sparse(transI,transI,(T.*T-Tlast.*Tlast).*transB,nodeNum,nodeNum)... + +sparse(transI,transJ,transB.*(T-Tlast),nodeNum,nodeNum)... + +sparse(transJ,transI,transB.*(T-Tlast),nodeNum,nodeNum)... + +sparse(capI,capI,capK-capKlast,nodeNum,nodeNum); +% GTii=sub2ind(size(G),transI,transI); %GTijΪGµÄµÚiÐеÚjÁÐÔÚGÖÐËù¶ÔÓ¦µÄλÖà +% GTij=sub2ind(size(G),transI,transJ); +% GTji=sub2ind(size(G),transJ,transI); +% BTii=sub2ind(size(B),transI,transI); +% BTij=sub2ind(size(B),transI,transJ); +% BTji=sub2ind(size(B),transJ,transI); +% for i=1:length(GTii) +% G(GTii(i))=G(GTii(i))-(T(i).*T(i)-Tlast(i).*Tlast(i)).*transG(i); +% end +% for i=1:length(GTij) +% G(GTij(i))=G(GTij(i))+transG(i).*(T(i)-Tlast(i)); +% end +% for i=1:length(GTji) +% G(GTji(i))=G(GTji(i))+transG(i).*(T(i)-Tlast(i)); +% end +% % G(GTij)=G(GTij)+transG.*(T-Tlast); +% % G(GTji)=G(GTij); +% for i=1:length(BTii) +% B(BTii(i))=B(BTii(i))-(T(i).*T(i)-Tlast(i).*Tlast(i)).*transB(i); +% end +% for i=1:length(BTij) +% B(BTij(i))=B(BTij(i))+transB(i).*(T(i)-Tlast(i)); +% end +% for i=1:length(BTji) +% B(BTji(i))=B(BTji(i))+transB(i).*(T(i)-Tlast(i)); +% end +% % B(BTij)=B(BTij)+transB.*(T-Tlast); +% % B(BTji)=B(BTij); +% deG=G-newG; +% deB=B-newB; +% G(708,708) +% newG(708,708) +% [Grows,Gcols,G1] = find(deG); +% [Brows,Bcols,B1] = find(deB); +% Bcapii=sub2ind(size(B),capI,capI); +% B(Bcapii)=B(Bcapii)+(capK-capKlast);%2011Äê10ÔÂ5ÈÕÐ޸ģ¬È¥µô*capBi. +% aa=0; +% for i=1:100000 +% aa=aa+1/1.1; +% end +% bb=0; +% bb=bb+sparse(ones(100000,1),ones(100000,1),1/1.1*ones(100000,1),1,1); diff --git a/Sigmoid函数法/Constant.m b/Sigmoid函数法/Constant.m new file mode 100644 index 0000000..18055a4 --- /dev/null +++ b/Sigmoid函数法/Constant.m @@ -0,0 +1,59 @@ +function [const,Lz,Lw,L1,U1]=Constant(nodeNum,opfGoal,lineNum,transNum,transI,transJ,transG,transB,T,transKmin,transKmax,lineI,lineJ,balNode,... + mu,G,B,GIJ,BIJ,e,f,Pmin,Pmax,a,b,PG,QR,pvQmin,pvQmax,pgNum,pgvNum,xNum,capNum,capK,capKmin,capKmax,pgNode,pvNode,dhx,dgx,L1,U1,LZ,UW,l,u,... + y,r,hx,Vmax,Vmin,capBi) +%³ÌÐò¹¦ÄÜ£ºÔ¤¼ÆËã¹ý³Ì£¬ÐγÉÈŶ¯KKT·½³Ì²»Æ½ºâÁ¿¾ØÕó +%±àдʱ¼ä£º2010Äê10Ô + +%% ÐγÉÄ¿±êº¯ÊýµÄÒ»½×Æ«µ¼¾ØÕó¨Œf(.) +if(opfGoal==2) + dPG=ones(pgNum,1); + dfx=sparse(transNum+1:transNum+pgNum,ones(pgNum,1),dPG,xNum,1); +else if(opfGoal==1) + dPG=2*a(pgNode).*PG(pgNode)+b(pgNode); + dfx=sparse(transNum+1:transNum+pgNum,ones(pgNum,1),dPG,xNum,1); + else if(opfGoal==3) + dfT=-transG.*((f(transI)-f(transJ)).^2+(e(transI)-e(transJ)).^2); + dfPQ=zeros(pgvNum,1); + dfcapK=zeros(capNum,1); + EE=e*ones(1,nodeNum); + FF=f*ones(1,nodeNum); + dfe=2*sum(G.*(EE-EE')); + dff=2*sum(G.*(FF-FF')); + dfx=[dfT;dfPQ;dfcapK;dfe';dff']; + else if(opfGoal==4) + dfT=transB.*((f(transI)-f(transJ)).^2+(e(transI)-e(transJ)).^2); + dfPQ=zeros(pgvNum,1); + dfcapK=zeros(capNum,1); + EE=e*ones(1,nodeNum); + FF=f*ones(1,nodeNum); + dfe=-2*sum(B.*(EE-EE')); + dff=-2*sum(B.*(FF-FF')); + dfx=[dfT;dfPQ;dfcapK;dfe';dff']; + end + end + end +end +%% ²»µÈʽԼÊøÏî +gxv=[PG(pgNode);QR(pvNode);capK;e.^2+f.^2]; %Ô¼ÊøÌõ¼þµ±Ç°Öµ +gxvx=[Pmin(pgNode);pvQmin(pvNode);capKmin.*capBi;Vmin.*Vmin]; %Ô¼ÊøÏÂÏÞ +gxvs=[Pmax(pgNode);pvQmax(pvNode);capKmax.*capBi;Vmax.*Vmax]; %Ô¼ÊøÉÏÏÞ +gxl=(e(lineI).*e(lineI)+f(lineI).*f(lineI)-e(lineI).*e(lineJ)-f(lineI).*f(lineJ)).*GIJ+(e(lineI).*f(lineJ)-e(lineJ).*f(lineI)).*BIJ;%Ïß·¹¦Âʵ±Ç°Öµ +gxlx=-ones(lineNum,1)*1000; %Ïß·ԼÊøÏÂÏÞ +gxls=ones(lineNum,1)*1000; %Ïß·ԼÊøÉÏÏÞ +gxT=T; +gxTx=transKmin; %±ä±ÈÏÂÏÞ +gxTs=transKmax; %±ä±ÈÉÏÏÞ + +gx=[gxT;gxv;gxl]; %×éºÏËùÓÐÔ¼ÊøÌõ¼þ +gxx=[gxTx;gxvx;gxlx]; +gsx=[gxTs;gxvs;gxls]; +Lz=gx-l-gxx; +Lw=gx+u-gsx; + +%% ÐγÉÐÞÕý·½³Ì³£ÊýÏîÏòÁ¿ +muUL=mu*(U1-L1); +BB1=UW*Lw-LZ*Lz-muUL*ones(r,1); +BB=dhx*y-dfx+dgx*BB1; %ÐÞÕý·½³Ì³£ÊýÏî¦×(.,¦Ì) +BB(transNum+pgvNum+capNum+nodeNum+balNode,1)=0; %±£³Öƽºâ½ÚµãµçѹÐ鲿²»±ä£¬Ê¼ÖÕΪ0£¬Ôò³£ÊýÏîƽºâ½Úµã´¦ÖÃ0 +BB(transNum+pgvNum+capNum+balNode,1)=0; %±£³Öƽºâ½Úµãµçѹʵ²¿²»±ä +const=[BB;hx]; %ÐÞÕý·½³Ì³£ÊýÏîÏòÁ¿ \ No newline at end of file diff --git a/Sigmoid函数法/IEEE118.dat b/Sigmoid函数法/IEEE118.dat new file mode 100644 index 0000000..fd34622 --- /dev/null +++ b/Sigmoid函数法/IEEE118.dat @@ -0,0 +1,425 @@ +118 179 100 100 0.1 +1.e-5 2 +1 69 +0 +1 1 2 0.0303 0.0999 0.0127 +2 1 3 0.0129 0.0424 0.00541 +3 4 5 0.00176 0.00798 0.00105 +4 3 5 0.0241 0.1080 0.0142 +5 5 6 0.0119 0.0540 0.00713 +6 6 7 0.00459 0.0208 0.00275 +7 8 9 0.00244 0.0305 0.5810 +9 9 10 0.00258 0.0322 0.6150 +10 4 11 0.0209 0.0688 0.00874 +11 5 11 0.0203 0.0682 0.00869 +12 11 12 0.00595 0.0196 0.00251 +13 2 12 0.0187 0.0616 0.00786 +14 3 12 0.0484 0.1600 0.0203 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0.00 0.00 427.40 173.60 +200 0.00 0.00 74.00 29.00 +118 0.00 0.00 69.50 49.30 +201 0.00 0.00 73.40 0.00 +119 0.00 0.00 240.70 89.00 +120 0.00 0.00 40.00 4.00 +121 0.00 0.00 136.80 16.60 +3 200.00 0.00 0.00 0.00 +122 1200.00 0.00 59.80 24.30 +123 1200.00 0.00 59.80 24.30 +262 0.00 0.00 182.60 43.60 +202 0.00 0.00 7.00 2.00 +203 475.00 0.00 0.00 0.00 +124 1973.00 0.00 489.00 53.00 +125 0.00 0.00 800.00 72.00 +204 0.00 0.00 0.00 0.00 +205 0.00 0.00 0.00 0.00 +206 0.00 0.00 0.00 0.00 +263 0.00 0.00 10.00 3.00 +207 0.00 0.00 43.00 14.00 +289 424.00 0.00 64.00 21.00 +126 0.00 0.00 35.00 12.00 +208 0.00 0.00 27.00 12.00 +127 0.00 0.00 41.00 14.00 +128 0.00 0.00 38.00 13.00 +129 0.00 0.00 42.00 14.00 +209 0.00 0.00 72.00 24.00 +210 0.00 0.00 0.00 -5.00 +211 0.00 0.00 12.00 2.00 +130 0.00 0.00 -21.00 -14.20 +212 0.00 0.00 7.00 2.00 +131 0.00 0.00 38.00 13.00 +283 0.00 0.00 0.00 0.00 +298 0.00 0.00 96.00 7.00 +213 0.00 0.00 0.00 0.00 +4 272.00 0.00 0.00 0.00 +214 0.00 0.00 22.00 16.00 +215 0.00 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214 +215 215 +216 218 +217 224 +218 225 +219 228 +220 229 +221 238 +222 242 +223 246 +224 248 +225 9002 +226 9006 +227 9012 +228 9021 +229 9023 +230 2 +231 12 +232 20 +233 21 +234 23 +235 24 +236 33 +237 35 +238 38 +239 43 +240 45 +241 49 +242 55 +243 57 +244 71 +245 72 +246 74 +247 79 +248 81 +249 86 +250 105 +251 109 +252 110 +253 118 +254 119 +255 120 +256 122 +257 127 +258 146 +259 173 +260 175 +261 178 +262 188 +263 196 +264 217 +265 220 +266 234 +267 245 +268 247 +269 9001 +270 9004 +271 9007 +272 7 +273 11 +274 42 +275 44 +276 62 +277 73 +278 97 +279 99 +280 102 +281 143 +282 145 +283 210 +284 219 +285 237 +286 15 +287 41 +288 133 +289 198 +290 231 +291 9005 +292 3 +293 77 +294 126 +295 137 +296 140 +297 37 +298 211 +299 130 +300 9003 +0 diff --git a/Sigmoid函数法/OPF.m b/Sigmoid函数法/OPF.m new file mode 100644 index 0000000..dafa3bd --- /dev/null +++ b/Sigmoid函数法/OPF.m @@ -0,0 +1,135 @@ +%******************************************************* +% ³ÌÐòÃû³Æ£ºµçÁ¦ÏµÍ³ÎÞ¹¦ÓÅ»¯³ÌÐò +% ³ÌÐò¹¦ÄÜ£ºÖ÷³ÌÐò +% ³ÌÐòËã·¨£ºÏÖ´úÄڵ㷨£¬²ÉÓÃSigmoidº¯Êý´¦ÀíÀëÉ¢±äÁ¿ +% Ä¿±êº¯Êý£º·¢µç·ÑÓÃ×îС£¨1£©¡¢Óй¦³öÁ¦×îС£¨2£©¡¢Óй¦ÍøËð×îС£¨3£©¡¢ÎÞ¹¦ÍøËð×îС£¨4£© +% ±àÕߣº Τ԰Çå +% ±àдʱ¼ä£º2010Äê10Ô +%******************************************************* +function []=OPF(filename) +clc; +%% ¶ÁÈ¡Êý¾Ý +data=dlmread(filename); +if data(1,1)<1780 + %¶ÁÈ¡1780½Úµãϵͳ¸ñʽÀàÐ͵ÄÊý¾Ý + [nodeNum,lineNum,capacity,kmax,centrPara,accuracy,opfGoal,balNum,balNode,mtrLine,mtrGround,mtrTrans,runPara,Pg,Qg,Pd,Qd,pvNum,pvNode,pvV,... + pvQmin,pvQmax,pgNumall,pgNodeall,pgNum,pgNode,a,b,c,Pmin,Pmax,capNum,capI,capGi,capBi,capK,capKmin,capKmax,Vmax,Vmin]=readData(filename); + tic; + %Ðγɽڵ㵼ÄɾØÕó + [G,B,transY,transG,transB,transG1,transB1,transNum,lineNum,lineI,lineJ,lineB,transI,transJ,transK0,transKmin,transKmax]=formY(nodeNum,... + lineNum,mtrLine,mtrGround,mtrTrans,capI,capBi,capK); +else + %¶ÁÈ¡IEEE±ê×¼¸ñʽÊý¾Ý + [nodeNum,lineNum,capacity,kmax,accuracy,balNum,balNode,mtrLine,mtrGround,mtrTrans,runPara,Pg,Qg,Pd,Qd,pvNum,pvNode,pvV,pvQmin,pvQmax,... + mtrCapacitor,pgNum,pgNode,a,b,c,Pmin,Pmax,Vmin,Vmax,centrPara]=readData_RPP(data) ; + tic; + %Ðγɽڵ㵼ÄɾØÕó + [G,B,lineI,lineJ,lineB,transI,transJ,transK0,transNum,transKmin,transKmax,capI,capGi,capBi,capK,capKmin,capKmax,capNum,transG,transB,... + transG1,transB1,lineNum]=formY_RPP(nodeNum,lineNum,mtrLine,mtrGround,mtrTrans,mtrCapacitor); +end +%% ³õʼ»¯ +[e,f,PG,QR,Pg,Qg,T,pgvNum,xNum,m,r,l,u,z,w,x,y,para3,mu0,b0,bei,dmaxOut1,dmaxOut2,xz1,xz2,dmaxOut3,dmaxOut4,xz3,xz4,xz5,muOut,... + opfGoal,times,secondBegin,ifconverge,k2,mismatch]=seting(nodeNum,lineNum,transNum,transK0,capNum,capK,pvQmin,pvQmax,pvNum,pvNode,pvV,... + pgNum,pgNode,Pmin,Pmax,Pg,Qg); +disp (['µü´ú´ÎÊý »¥²¹¼ä϶ ×îÓų±Á÷Ä¿±ê']) +%% ½øÈëÑ­»·ÌåÇó½â +for k=0:kmax + [H1,N1,diagE,diagF,hx,Gap,max_hx,fx,Pg,Qg,xz1,dmaxOut1,xz2,dmaxOut2,xz3,dmaxOut3,xz4,dmaxOut4,PGR]=midResult(nodeNum,pgNode,opfGoal,... + z,l,u,w,Pg,Qg,e,f,G,B,a,b,c,PG,Pd,Qd,k,xz1,dmaxOut1,xz2,dmaxOut2,xz3,dmaxOut3,xz4,dmaxOut4,times,accuracy,mismatch); + if Gap=0.5); %»ñÈ¡¿¿½ü1µÄֵϱê + tij_0=max(tij_Bci(index_0));%»ñÈ¡¿¿½ü0µÄÖµÖÐ×î´óµÄÁ¿ + tij_1=max(ones(size(index_1))-tij_Bci(index_1));%»ñÈ¡¿¿½ü1µÄÖµÖÐ×îСµÄÁ¿ + if isempty(tij_0) + tmax=tij_1; + else if isempty(tij_1) + tmax=tij_0; + else + tmax=max(tij_0,tij_1);%»ñÈ¡ËùÓÐÀëÉ¢±äÁ¿Ô¶Àë0»ò1×î´óµÄÁ¿ + end + end + if (tmax=kmax + disp '×îÓų±Á÷¼ÆËã²»ÊÕÁ²£¡' + disp(k) +else + disp '×îÓų±Á÷¼ÆËãÊÕÁ²£¡' + disp(['µü´ú',num2str(k),'´Î£¡']) +end +toc; +%% Êä³ö¼ÆËã½á¹û +OutResult(e,f,T,k,Gap,fx,transI,transJ,filename,nodeNum,PGR,pgNode,QR,pvNode,capI,capK,firstfx,firstT,firstcapK,Tn,Tn1,capKn,capKn1,ifconverge,... + max_hx,G,B,balNode,toc,firstV,capBi); + +%% ×÷»¥²¹¼ä϶ºÍ×î´ó²»Æ½ºâÁ¿ÊÕÁ²ÇúÏßͼ +% plot(xz1,dmaxOut1,'-ks','LineWidth',2,'MarkerEdgeColor','k','MarkerFaceColor','k','MarkerSize',3) +% hold on; +% plot(xz2,dmaxOut2,'-ks','LineWidth',2,'MarkerEdgeColor','k','MarkerFaceColor','k','MarkerSize',3) +% hold on; +% xlabel('µü´ú´ÎÊý') +% ylabel('»¥²¹¼ä϶') +% plot(xz3,dmaxOut3,'-ks','LineWidth',2,'MarkerEdgeColor','k','MarkerFaceColor','k','MarkerSize',3) +% hold on; +% plot(xz4,dmaxOut4,'-ks','LineWidth',2,'MarkerEdgeColor','k','MarkerFaceColor','k','MarkerSize',3) +% xlabel('µü´ú´ÎÊý') +% ylabel('×î´ó²»Æ½ºâÁ¿') + +%% ×÷mutÔÚµü´ú¹ý³ÌÖеı仯ͼ +% plot(xz5,muOut,'-ks','LineWidth',2,'MarkerEdgeColor','k','MarkerFaceColor','k','MarkerSize',3) +% xlabel('µü´ú´ÎÊý') +% ylabel('¦Ì') +% hold on; + +%% ×ö¶þ´ÎÓÅ»¯µÄ»¥²¹¼ä϶ͼ +% plot(xz5,dmaxOut2,'-ks','LineWidth',2,'MarkerEdgeColor','k','MarkerFaceColor','k','MarkerSize',3) +% hold on; +% xlabel('µü´ú´ÎÊý') +% ylabel('»¥²¹¼ä϶') diff --git a/Sigmoid函数法/OutResult.m b/Sigmoid函数法/OutResult.m new file mode 100644 index 0000000..5345ce8 --- /dev/null +++ b/Sigmoid函数法/OutResult.m @@ -0,0 +1,44 @@ +function OutResult(e,f,T,k,Gap,fx,transI,transJ,filename,nodeNum,PGR,pgNode,QR,pvNode,capI,capK,firstfx,firstT,firstcapK,Tn,Tn1,... + capKn,capKn1,ifconverge,max_hx,G,B,balNode,toc,firstV,capBi) +%³ÌÐò¹¦ÄÜ£ºÊä³ö¼ÆËã½á¹û +%±àдʱ¼ä£º2010Äê10Ô + +Y1=G+1j*B; +V1=e+1j*f; +NodeS=zeros(nodeNum,1); +NodeS(pvNode)=V1(pvNode,:).*conj(Y1(pvNode,:)*V1); %¼ÆËãƽºâ½ÚµãºÍPV½ÚµãµÄ½Úµã¸´¹¦ÂÊ£¬Y1(pvNode,:)*V1Ϊ½ÚµãµÄ×¢ÈëµçÁ÷ +balanceP=real(NodeS(balNode,1)); %»ñȡƽºâ½ÚµãµÄÓй¦¹¦ÂÊ +PGR(balNode,1)=balanceP; +balanceQ=imag(NodeS(balNode,1)); +QR(balNode,1)=balanceQ; +resultFile=['result_' filename]; +fid=fopen(resultFile,'w'); +result=[k;Gap;fx;firstfx;toc;max_hx;ifconverge]; %ÊÕÁ²ÐÅÏ¢ +fprintf(fid,'%2.0f %4.4e %6.6f %6.6f %4.4f %4.4e %2.0f\r\n',result); +fprintf(fid,'%1.0f\r\n',0); +trans=[transI';transJ';(1./T)';(1./firstT)';(1./Tn)';(1./Tn1)']; %±äѹÆ÷±ä±È½á¹û +fprintf(fid,'%2.0f %2.0f %5.4f %5.4f %5.4f %5.4f\r\n',trans); +fprintf(fid,'%1.0f\r\n',0); +nn=1:nodeNum; +e=full(e); +f=full(f); +V=sqrt(e.^2+f.^2); +Vresult=[nn;e';f';V';firstV']; %½Úµãµçѹ½á¹û +fprintf(fid,'%3.0f %5.4f %5.4f %5.4f %5.4f\r\n',Vresult); +fprintf(fid,'%1.0f\r\n',0); +PGresult=[pgNode';PGR(pgNode)']; %Óй¦³öÁ¦½á¹û +PGresult=full(PGresult); +fprintf(fid,'%2.0f %4.4f\r\n',PGresult); +fprintf(fid,'%1.0f\r\n',0); +QRresult=[pvNode';QR(pvNode)']; %ÎÞ¹¦³öÁ¦½á¹û +QRresult=full(QRresult); +fprintf(fid,'%2.0f %4.4f\r\n',QRresult); +fprintf(fid,'%1.0f\r\n',0); +capK=capK.*capBi; +capKn=capKn.*capBi; +capKn1=capKn1.*capBi; +Capresult=[capI';capK';firstcapK';capKn';capKn1']; %µçÈݵ翹Æ÷ͶÈë×éÊý½á¹û +Capresult=full(Capresult); +fprintf(fid,'%2.0f %3.2f %5.4f %3.2f %3.2f\r\n',full(Capresult)); +fprintf(fid,'%1.0f\r\n',0); +fclose(fid); \ No newline at end of file diff --git a/Sigmoid函数法/S1047.dat b/Sigmoid函数法/S1047.dat new file mode 100644 index 0000000..6493a68 --- /dev/null +++ b/Sigmoid函数法/S1047.dat @@ -0,0 +1,3548 @@ +1047 1182 100 100 0.1 +1.e-5 1 +1 339 +0 +1 581 843 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formHSB(nodeNum,balNode,opfGoal,lineNum,transNum,lineI,lineJ,transI,transJ,T,transG,transB,pgNode,pvNode,... + G,B,e,f,pgNum,pvNum,pgvNum,xNum,capNum,capI,a,m,r,l,u,z,w,y,N1,H1,diagE,diagF,balNum) +%³ÌÐò¹¦ÄÜ£ºÔ¤¼ÆËã¹ý³Ì£¬ÐγÉÐÞÕý·½³ÌϵÊý¾ØÕó +%±àдʱ¼ä£º2010Äê10Ô + +%% ÐγɵÈʽԼÊøÑſɱȾØÕó +ef1=e(transI).*e(transJ)+f(transI).*f(transJ); +ef2=e(transI).*f(transJ)-e(transJ).*f(transI); +ef3=e(transI).*e(transI)+f(transI).*f(transI); +ef1G=ef1.*transG; +ef1B=ef1.*transB; +ef2G=ef2.*transG; +ef2B=ef2.*transB; +dhPTi=-ef1G+ef2B+2*ef3.*transG.*T; +dhPTj=-ef1G-ef2B; +dhPT=sparse(1:transNum,transI,dhPTi,transNum,nodeNum)+sparse(1:transNum,transJ,dhPTj,transNum,nodeNum);%Óй¦Æ½ºâ·½³ÌP¶Ô±äѹÆ÷±ä±ÈÇóÆ«µ¼ +dhQTi=ef1B+ef2G-2*ef3.*transB.*T; +dhQTj=ef1B-ef2G; +dhQT=sparse(1:transNum,transI,dhQTi,transNum,nodeNum)+sparse(1:transNum,transJ,dhQTj,transNum,nodeNum);%ÎÞ¹¦Æ½ºâ·½³ÌQ¶Ô±äѹÆ÷±ä±ÈÇóÆ«µ¼ +dhP=sparse(1:pgNum,pgNode,ones(pgNum,1),pgNum,m); +dhQ1=sparse(1:pvNum,pvNode,ones(pvNum,1),pvNum,nodeNum); +dhQ=[sparse(pvNum,nodeNum) dhQ1]; +dhcapK1=sparse(1:capNum,capI,(e(capI).^2+f(capI).^2),capNum,nodeNum); %¹¦ÂÊƽºâ·½³Ì¶ÔµçÈݵ翹Æ÷×éÊýÇóÆ«µ¼ +dhcapK=[sparse(capNum,nodeNum) dhcapK1]; +%¹¦ÂÊ·½³ÌÑſɱȾØÕó +deG=diagE*G; +dfB=diagF*B; +deB=diagE*B; +dfG=diagF*G; +dH1=sparse(1:nodeNum,1:nodeNum,H1,nodeNum,nodeNum); +dN1=sparse(1:nodeNum,1:nodeNum,N1,nodeNum,nodeNum); +Hij=-dH1-deG-dfB; +Nij=-dN1+deB-dfG; +Jij=dN1-dfG+deB; +Lij=-dH1+dfB+deG; +%ºÏ²¢Ðγɹ¦ÂÊ·½³ÌÑſɱȾØÕó +dhJacb=[Hij Nij;Jij Lij]'; +%ºÏ²¢ÐγɵÈʽԼÊøÑſɱȾØÕóh(x) +dhx=[dhPT dhQT;dhP;dhQ;dhcapK;dhJacb]; +%% Ðγɲ»µÈʽԼÊøÑſɱȾØÕó¨Œg(x) +dgT1=sparse(1:transNum,1:transNum,ones(transNum,1),transNum,r-lineNum); +dglT=(e(transI).^2+f(transI).^2-e(transI).*e(transJ)-f(transI).*f(transJ)).*transG+(e(transI).*f(transJ)-e(transJ).*f(transI)).*transB; +dgT2=sparse(1:transNum,lineNum-transNum+1:lineNum,dglT,transNum,lineNum); +dgT=[dgT1 dgT2]; %ËùÓв»µÈʽ¶Ô±ä±ÈÇóµ¼µÄÄ£¿é +dgP=sparse(1:pgNum,transNum+1:transNum+pgNum,ones(pgNum,1),pgNum,r); %ËùÓв»µÈʽԼÊø¶ÔPGÇóµ¼µÄÄ£¿é +dgQ=sparse(1:pvNum,transNum+pgNum+1:transNum+pgvNum,ones(pvNum,1),pvNum,r); %ËùÓв»µÈʽԼÊø¶ÔQRÇóµ¼µÄÄ£¿é +dgcapK=sparse(1:capNum,transNum+pgvNum+1:transNum+pgvNum+capNum,ones(capNum,1),capNum,r);%ËùÓв»µÈʽԼÊø¶ÔcapKÇóµ¼µÄÄ£¿é +dgve=2*diagE; +dgvf=2*diagF; +sizeG=size(G); +GIJ=G(sub2ind(sizeG,lineI,lineJ)); +BIJ=B(sub2ind(sizeG,lineI,lineJ)); +dgleI=(2*e(lineI)-e(lineJ)).*GIJ+f(lineJ).*BIJ; +dgleJ=-e(lineI).*GIJ-f(lineI).*BIJ; +dglfI=(2*f(lineI)-f(lineJ)).*GIJ-e(lineJ).*BIJ; +dglfJ=-f(lineI).*GIJ+e(lineI).*BIJ; +dgle=sparse(lineI,(1:lineNum),dgleI,nodeNum,lineNum)+sparse(lineJ,(1:lineNum),dgleJ,nodeNum,lineNum); +dglf=sparse(lineI,(1:lineNum),dglfI,nodeNum,lineNum)+sparse(lineJ,(1:lineNum),dglfJ,nodeNum,lineNum); +dg0=sparse(m,transNum+pgvNum+capNum); +dgvl=[dgve dgle;dgvf dglf]; +dgef=[dg0 dgvl]; %ËùÓв»µÈʽԼÊø¶Ôµçѹʵ²¿¡¢Ð鲿ÇóÆ«µ¼µÄÄ£¿é +dgx=[dgT;dgP;dgQ;dgcapK;dgef]; %²»µÈʽԼÊøÑſ˱ȾØÕó +%% ÐγɶԽÇÕó +Z=sparse(1:r,1:r,z,r,r); +W=sparse(1:r,1:r,w,r,r); +L1=sparse(1:r,1:r,1./l,r,r); +U1=sparse(1:r,1:r,1./u,r,r); +LZ=L1*Z; +UW=U1*W; +%% Ðγɺ£É­²®¾ØÕó +%Ä¿±êº¯ÊýµÄº£É­²®¾ØÕó¨Œ2f(x) +if(opfGoal==2)%Ä¿±êΪÓй¦³öÁ¦×îС + HSdfx=sparse(xNum,xNum); +else if(opfGoal==1) + HSdfx=sparse(transNum+1:transNum+pgNum,transNum+1:transNum+pgNum,2*a(pgNode),xNum,xNum);%½öÄ¿±êº¯Êý¶ÔPGÇóÆ«µ¼´¦µÄ¶Ô½ÇԪΪ·ÇÁãÔªËØ£¬ÆäËû¶¼Îª0(Ä¿±êΪ·¢µçºÄÁ¿×îС) + else if(opfGoal==3) + d2ftei=-2*transG.*(e(transI)-e(transJ)); + d2ftej=-d2ftei; + d2ftfi=-2*transG.*(f(transI)-f(transJ)); + d2ftfj=-d2ftfi; + d2fte=sparse(1:transNum,transI,d2ftei,transNum,nodeNum)+sparse(1:transNum,transJ,d2ftej,transNum,nodeNum); + d2ftf=sparse(1:transNum,transI,d2ftfi,transNum,nodeNum)+sparse(1:transNum,transJ,d2ftfj,transNum,nodeNum); + d2fT0=sparse(transNum,transNum+pgvNum+capNum); + d2fT=[d2fT0 d2fte d2ftf]; + d2fPGQR=sparse(pgvNum,xNum); + d2fcapK=sparse(capNum,xNum); + d2fee=2*(G-sparse(1:nodeNum,1:nodeNum,sum(G,2),nodeNum,nodeNum)); + d2fff=d2fee; + zero_nodeNum=sparse(nodeNum,nodeNum); + d2f_ef_ef=[d2fee zero_nodeNum;zero_nodeNum d2fff]; + d2efT=[d2fte d2ftf]'; + d2f_ef=[d2efT sparse(2*nodeNum,pgvNum+capNum) d2f_ef_ef]; + HSdfx=[d2fT;d2fPGQR;d2fcapK;d2f_ef]; + else if(opfGoal==4) + d2ftei=2*transB.*(e(transI)-e(transJ)); + d2ftej=-d2ftei; + d2ftfi=2*transB.*(f(transI)-f(transJ)); + d2ftfj=-d2ftfi; + d2fte=sparse(1:transNum,transI,d2ftei,transNum,nodeNum)+sparse(1:transNum,transJ,d2ftej,transNum,nodeNum); + d2ftf=sparse(1:transNum,transI,d2ftfi,transNum,nodeNum)+sparse(1:transNum,transJ,d2ftfj,transNum,nodeNum); + d2fT0=sparse(transNum,transNum+pgvNum+capNum); + d2fT=[d2fT0 d2fte d2ftf]; + d2fPGQR=sparse(pgvNum,xNum); + d2fcapK=sparse(capNum,xNum); + d2fee=-2*(B-sparse(1:nodeNum,1:nodeNum,sum(B,2),nodeNum,nodeNum)); + d2fff=d2fee; + zero_nodeNum=sparse(nodeNum,nodeNum); + d2f_ef_ef=[d2fee zero_nodeNum;zero_nodeNum d2fff]; + d2efT=[d2fte d2ftf]'; + d2f_ef=[d2efT sparse(2*nodeNum,pgvNum+capNum) d2f_ef_ef]; + HSdfx=[d2fT;d2fPGQR;d2fcapK;d2f_ef]; + end + end + end +end + +%µÈʽԼÊøº£É­²®¾ØÕóÓëÀ­¸ñÀÊÈÕ³Ë×ÓyµÄ³Ë»ý¨Œ2h(x)*y +y1=y(1:nodeNum,1); +y2=y(nodeNum+1:2*nodeNum,1); +dhT2=2*ef3.*(transG.*y1(transI)-transB.*y2(transI)); %¹¦ÂÊ·½³Ì¶Ô±äѹÆ÷±ä±ÈÇó¶þ´ÎÆ«µ¼ËùµÃµÄÁÐÏòÁ¿ +HSdhT=sparse(1:transNum,1:transNum,dhT2,transNum+pgvNum+capNum,transNum+pgvNum+capNum); +eiG=e(transI).*transG; +ejG=e(transJ).*transG; +eiB=e(transI).*transB; +ejB=e(transJ).*transB; +fiG=f(transI).*transG; +fjG=f(transJ).*transG; +fiB=f(transI).*transB; +fjB=f(transJ).*transB; +ejG_fjB=ejG-fjB; +ejGfjB=ejG+fjB; +fjGejB=fjG+ejB; +ejB_fjG=ejB-fjG; +eiGfiB=eiG+fiB; +eiG_fiB=eiG-fiB; +eiB_fiG=eiB-fiG; +fiGeiB=fiG+eiB; +dP2_ei_t=(4*eiG.*T-ejG_fjB).*y1(transI)-ejGfjB.*y1(transJ); +dP2_ej_t=-eiGfiB.*y1(transI)-eiG_fiB.*y1(transJ); +dQ2_ei_t=(-4*eiB.*T+fjGejB).*y2(transI)+ejB_fjG.*y2(transJ); +dQ2_ej_t=eiB_fiG.*y2(transI)+fiGeiB.*y2(transJ); +HSdh_et=sparse(1:transNum,transI,dP2_ei_t+dQ2_ei_t,transNum,nodeNum)+sparse(1:transNum,transJ,dP2_ej_t+dQ2_ej_t,transNum,nodeNum);%¹¦ÂÊ·½³ÌÏȶԱä±ÈÇóÆ«µ¼£¬ÔÙ¶Ôµçѹʵ²¿ÇóÆ«µ¼Ä£¿é +dP2_fi_t=(4*fiG.*T-fjGejB).*y1(transI)+ejB_fjG.*y1(transJ); +dP2_fj_t=eiB_fiG.*y1(transI)-fiGeiB.*y1(transJ); +dQ2_fi_t=(-4*fiB.*T-ejG_fjB).*y2(transI)+ejGfjB.*y2(transJ); +dQ2_fj_t=eiGfiB.*y2(transI)-eiG_fiB.*y2(transJ); +HSdh_ft=sparse(1:transNum,transI,dP2_fi_t+dQ2_fi_t,transNum,nodeNum)+sparse(1:transNum,transJ,dP2_fj_t+dQ2_fj_t,transNum,nodeNum);%¹¦ÂÊ·½³ÌÏȶԱä±ÈÇóÆ«µ¼£¬ÔÙ¶ÔµçѹÐ鲿ÇóÆ«µ¼Ä£¿é + +HSdh_eft=[HSdh_et HSdh_ft]; +HSdh_tef=HSdh_eft'; +HSdhPQ=sparse(pgvNum,2*nodeNum); %¹¦ÂÊ·½³ÌÏȶÔPG¡¢QRÇóÆ«µ¼£¬ÔÙ¶ÔÆäËû±äÁ¿ÇóÆ«µ¼µÄ²¿·Ö +d2hcap_e=sparse(1:capNum,capI,2*e(capI).*y2(capI),capNum,nodeNum); %¹¦ÂÊ·½³ÌÏȶÔcapKÇóÆ«µ¼£¬ÔÙ¶Ôe£¬fÇóÆ«µ¼µÄ²¿·Ö +d2hcap_f=sparse(1:capNum,capI,2*f(capI).*y2(capI),capNum,nodeNum); +HSdhcap_ef=[d2hcap_e d2hcap_f]; +d2htPQ_ef=[HSdh_eft;HSdhPQ;HSdhcap_ef]; +HSdhtPQ=[HSdhT d2htPQ_ef]; +HSdhx1=sparse(m,pgvNum); +%³±Á÷·½³Ìº£É­¾ØÕó +diagy1=sparse(1:nodeNum,1:nodeNum,y1,nodeNum,nodeNum); +diagy2=sparse(1:nodeNum,1:nodeNum,y2,nodeNum,nodeNum); +HSdhey=-diagy1*G+diagy2*B+(-G*diagy1+B*diagy2); +HSdhefy=diagy1*B+diagy2*G-(B*diagy1+G*diagy2); +HSdhx2=[HSdhey HSdhefy;HSdhefy' HSdhey]; +HSdhx=[HSdhtPQ;HSdh_tef HSdhx1 HSdhcap_ef' HSdhx2]; +%Ðγɲ»µÈʽԼÊø¶þ½×Æ«µ¼µÄ¾ØÕó¨Œ2g(x)*(z+w) +ZWcl=z(transNum+pgvNum+capNum+nodeNum+1:end)+w(transNum+pgvNum+capNum+nodeNum+1:end); +ZWv=z(transNum+pgvNum+capNum+1:transNum+pgvNum+capNum+nodeNum)+w(transNum+pgvNum+capNum+1:transNum+pgvNum+capNum+nodeNum); +dgeiT=((2*e(transI)-e(transJ)).*transG+f(transJ).*transB).*ZWcl(lineNum-transNum+1:end); +dgejT=(-e(transI).*transG-f(transI).*transB).*ZWcl(lineNum-transNum+1:end); +dgeT=sparse(1:transNum,transI,dgeiT,transNum,nodeNum)+sparse(1:transNum,transJ,dgejT,transNum,nodeNum);%²»µÈʽԼÊøÏȶԱä±ÈÇóÆ«µ¼£¬ÔÙ¶ÔeÇóÆ«µ¼µÄÄ£¿é +dgfiT=((2*f(transI)-f(transJ)).*transG-e(transJ).*transB).*ZWcl(lineNum-transNum+1:end); +dgfjT=(-f(transI).*transG+e(transI).*transB).*ZWcl(lineNum-transNum+1:end); +dgfT=sparse(1:transNum,transI,dgfiT,transNum,nodeNum)+sparse(1:transNum,transJ,dgfjT,transNum,nodeNum);%²»µÈʽԼÊøÏȶԱä±ÈÇóÆ«µ¼£¬ÔÙ¶ÔfÇóÆ«µ¼µÄÄ£¿é +HSdgefT=[dgeT dgfT]; +HSdgT=[sparse(transNum,transNum+pgvNum+capNum) HSdgefT]; +HSdgee=sparse(lineI,lineI,2*GIJ.*ZWcl,nodeNum,nodeNum)-sparse(lineI,lineJ,GIJ.*ZWcl,nodeNum,nodeNum)-... + sparse(lineJ,lineI,GIJ.*ZWcl,nodeNum,nodeNum)+sparse(1:nodeNum,1:nodeNum,2*ZWv,nodeNum,nodeNum); +HSdgff=HSdgee; +HSdgef=sparse(lineI,lineJ,BIJ.*ZWcl,nodeNum,nodeNum)-sparse(lineJ,lineI,BIJ.*ZWcl,nodeNum,nodeNum); +HSdgfe=HSdgef'; +HSdgx1=[HSdgee HSdgef;HSdgfe HSdgff]; %ËùÓв»µÈʽԼÊø¶Ôe¡¢fÇó¶þ´ÎÆ«µ¼Ä£¿é +HSdgxtPQ_0=sparse(pgvNum+capNum,xNum); +HSdgef_0=[HSdgefT' sparse(2*nodeNum,pgvNum+capNum)]; +HSdgx=[HSdgT;HSdgxtPQ_0;HSdgef_0 HSdgx1]; %ºÏ³É²»µÈʽԼÊøº£É­¾ØÕó +%ÇóºÍÐγÉH(.)¾ØÕó. +dgxT=dgx'; %ÇódgxµÄתÖà +MULdgx=dgx*(UW-LZ)*dgxT; +H=HSdhx+HSdgx-HSdfx+MULdgx; %ÇóºÍÐγÉH(.)¾ØÕó. +%% ¸ù¾ÝÒÔÉÏËùÇóµÄ¸÷¸ö¾ØÕóºÏ³Éº£É­²®¾ØÕó +HSB0=sparse(m,m); +HSB=[H dhx;dhx' HSB0]; +balN=transNum+pgvNum+capNum+nodeNum+balNode; +HSB(balN,:)=0; %±£³Öƽºâ½ÚµãµçѹÐ鲿²»±ä£¬Ê¼ÖÕΪ0£¬¼´½«º£É­¾ØÕóÖÐƽºâ½ÚµãÐ鲿Ëù¶ÔÓ¦µÄÐÐÁÐÔªËØÖÃ0£¬¶Ô½ÇÔªËØÖÃ1 +HSB(:,balN)=0; +HSB_balN=sub2ind(size(HSB),balN,balN); +HSB(HSB_balN)=ones(balNum,1); +balN1=transNum+pgvNum+capNum+balNode; +HSB(balN1,:)=0; %±£³Öƽºâ½Úµãµçѹʵ²¿²»±ä£¬Ê¼ÖÕΪ0£¬¼´½«º£É­¾ØÕóÖÐƽºâ½Úµãʵ²¿Ëù¶ÔÓ¦µÄÐÐÁÐÔªËØÖÃ0£¬¶Ô½ÇÔªËØÖÃ1 +HSB(:,balN1)=0; +HSB_balN1=sub2ind(size(HSB),balN1,balN1); +HSB(HSB_balN1)=ones(balNum,1); +HSB=sparse(HSB); \ No newline at end of file diff --git a/Sigmoid函数法/formY.m b/Sigmoid函数法/formY.m new file mode 100644 index 0000000..19376f4 --- /dev/null +++ b/Sigmoid函数法/formY.m @@ -0,0 +1,59 @@ +function [G,B,transY,transG,transB,transG1,transB1,transNum,lineNum,lineI,lineJ,lineB,transI,transJ,transK0,transKmin,transKmax]=... + formY(nodeNum,lineNum,mtrLine,mtrGround,mtrTrans,capI,capBi,capK) +%³ÌÐò¹¦ÄÜ£ºÐγɽڵ㵼ÄɾØÕó +%±àдʱ¼ä£º2010Äê10Ô + +%±äÁ¿¶¨Ò壺 +%G--µçµ¼¾ØÕó,B--µçÄɾØÕó£¬lineI,lineJ--½ÚµãÐòºÅ£¬lineR--Ïß·µç×è +%lineX--Ïß·µç¿¹£¬groundI--½ÓµØ֧·½ÚµãÐòºÅ +%groundR--½ÓµØ֧·µç×裬groundX--½ÓµØ֧·µç¿¹ +%transI£¬transJ--±äѹÆ÷֧·½ÚµãÐòºÅ +%transR--±äѹÆ÷֧·µç×裬transX--±äѹÆ÷֧·µç¿¹ +%transK--±äѹÆ÷±ä±È +%transG--±äѹÆ÷֧·µÈЧµçµ¼£¬transB--±äѹÆ÷֧·µÈЧµçÄÉ + +%% ÀûÓÃÏß·ºÍ½ÓµØ֧·²ÎÊýÐγɵ¼ÄɾØÕó +lineI=mtrLine(:,2); +lineJ=mtrLine(:,3); +lineR=mtrLine(:,4); +lineX=mtrLine(:,5); +lineB=mtrLine(:,6); +groundI=mtrGround(:,1); +groundX=mtrGround(:,2); +Yij=1./(lineR+j*lineX); +Y1=-sparse(lineI,lineJ,Yij,nodeNum,nodeNum)-sparse(lineJ,lineI,Yij,nodeNum,nodeNum)... + +sparse(lineI,lineI,Yij+j*lineB,nodeNum,nodeNum)+sparse(lineJ,lineJ,Yij+j*lineB,nodeNum,nodeNum)... + +sparse(groundI,groundI,j*groundX,nodeNum,nodeNum)+sparse(capI,capI,j*capK,nodeNum,nodeNum); +%% ¼ÓÈë±äѹÆ÷֧·Ð޸ĵ¼ÄɾØÕó +transIall=mtrTrans(:,2); +transJall=mtrTrans(:,3); +transR=mtrTrans(:,4); +transX=mtrTrans(:,5); +transK0all=mtrTrans(:,6); +transY=1./(transR+j*transX); +Y1=Y1-sparse(transIall,transJall,transY./transK0all,nodeNum,nodeNum)-sparse(transJall,transIall,transY./transK0all,nodeNum,nodeNum)... + +sparse(transIall,transIall,transY./transK0all./transK0all,nodeNum,nodeNum)+sparse(transJall,transJall,transY,nodeNum,nodeNum); +Yt=sparse(transIall,transJall,-transY,nodeNum,nodeNum); %ÕâÑù´¦ÀíÊÇÒòΪÓÐÁ½Ì¨±äѹÆ÷Á½¶ËµÄ½ÚµãºÅÏàͬ£¬±ÜÃâÔÚ¸üнڵ㵼ÄɾØÕóʱֻʶ±ðһ̨±äѹÆ÷ +transIJ=sub2ind(size(Yt),transIall,transJall); +transYt=Yt(transIJ); +transCtrl=mtrTrans(:,9); +ctrTransNum=find(transCtrl); +transI=transIall(ctrTransNum); +transJ=transJall(ctrTransNum); +transKmax=1/0.9*ones(size(transI)); +transKmin=1/1.1*ones(size(transI)); +transK0=transK0all(ctrTransNum); +transG=real(transYt(ctrTransNum)); +transB=imag(transYt(ctrTransNum)); +transG1=-real(transY(ctrTransNum)); %Ö®ËùÒÔҪȡ¸ººÅÊÇÒòΪtransG¡¢transBÊÇ×÷Ϊµ¼ÄɾØÕóÖеĻ¥µ¼ÄÉÀ´Óã¬ÔÚ¼ÆËã×Ôµ¼ÄɵÄʱºò×¢ÒâÒªÓÃ-transG¡¢-transB!!!! +transB1=-imag(transY(ctrTransNum)); +transNum=length(transI); +lineI=[lineI;transI]; %½«Ïß·ºÍ±äѹÆ÷֧·µÄ±àºÅºÏ²¢£¬ÔÚºóÃæÏß·ԼÊøµÄʱºòͬʱ´¦Àí +lineJ=[lineJ;transJ]; +lineNum=lineNum-length(transIall)+length(transI); +%% Çó½Úµãµ¼ÄɵķùÖµºÍÏà½Ç +[Yrows,Ycols,Y1] = find(Y1); +G=real(Y1); +B=imag(Y1); +G=sparse(Yrows,Ycols,G,nodeNum,nodeNum); +B=sparse(Yrows,Ycols,B,nodeNum,nodeNum); \ No newline at end of file diff --git a/Sigmoid函数法/formY_RPP.m b/Sigmoid函数法/formY_RPP.m new file mode 100644 index 0000000..541f8bb --- /dev/null +++ b/Sigmoid函数法/formY_RPP.m @@ -0,0 +1,82 @@ +function [G,B,lineI,lineJ,lineB,transI,transJ,transK0,transNum,transKmin,transKmax,capI,capGi,capBi,capK,capKmin,capKmax,capNum,transG,transB,... + transG1,transB1,lineNum]=formY_RPP(nodeNum,lineNum,mtrLine,mtrGround,mtrTrans,mtrCapacitor) +%³ÌÐò¹¦ÄÜ£ºÐγɽڵ㵼ÄɾØÕó +%±àдʱ¼ä£º2010Äê10Ô + +%±äÁ¿¶¨Ò壺 +%G--µçµ¼¾ØÕó,B--µçÄɾØÕó£¬lineI,lineJ--½ÚµãÐòºÅ£¬lineR--Ïß·µç×è +%lineX--Ïß·µç¿¹£¬groundI--½ÓµØ֧·½ÚµãÐòºÅ +%groundR--½ÓµØ֧·µç×裬groundX--½ÓµØ֧·µç¿¹ +%transI£¬transJ--±äѹÆ÷֧·½ÚµãÐòºÅ +%transR--±äѹÆ÷֧·µç×裬transX--±äѹÆ÷֧·µç¿¹ +%transK--±äѹÆ÷±ä±È +%transG--±äѹÆ÷֧·µÈЧµçµ¼£¬transB--±äѹÆ÷֧·µÈЧµçÄÉ + +%% ÀûÓÃÏß·ºÍ½ÓµØ֧·²ÎÊýÐγɵ¼ÄɾØÕó +lineI=mtrLine(:,2); +lineJ=mtrLine(:,3); +lineR=mtrLine(:,4); +lineX=mtrLine(:,5); +lineB=mtrLine(:,6); +%½ÓµØ֧·Êý¾Ý +groundI=mtrGround(:,2); +groundG=mtrGround(:,3); +groundB=mtrGround(:,4); +%µçÈÝÆ÷²ÎÊý +capCtrl=mtrCapacitor(:,2); +capCtrl=ones(length(capCtrl),1); +capIall=mtrCapacitor(:,3); +capGiall=mtrCapacitor(:,4); +capBiall=mtrCapacitor(:,5); +capKall=mtrCapacitor(:,6); +capKminall=mtrCapacitor(:,7); +capKmaxall=mtrCapacitor(:,8); + +Yij=1./(lineR+j*lineX); +Y1=-sparse(lineI,lineJ,Yij,nodeNum,nodeNum)-sparse(lineJ,lineI,Yij,nodeNum,nodeNum)... + +sparse(lineI,lineI,Yij+j*lineB,nodeNum,nodeNum)+sparse(lineJ,lineJ,Yij+j*lineB,nodeNum,nodeNum)... + +sparse(groundI,groundI,groundG+j*groundB,nodeNum,nodeNum)... + +sparse(capIall,capIall,j*capKall,nodeNum,nodeNum); +%±£Áô¿Éµ÷µçÈݵ翹Æ÷²ÎÊý +capCtrlNode=find(capCtrl); +capI=capIall(capCtrlNode); +capGi=capGiall(capCtrlNode); +capBi=capBiall(capCtrlNode); +capK=capKall(capCtrlNode); +capKmin=capKminall(capCtrlNode); +capKmax=capKmaxall(capCtrlNode); +capNum=length(capI); +%% ¼ÓÈë±äѹÆ÷֧·Ð޸ĵ¼ÄɾØÕó +transCtrl=mtrTrans(:,2); +transIall=mtrTrans(:,3); +transJall=mtrTrans(:,4); +transR=mtrTrans(:,5); +transX=mtrTrans(:,6); +transK0all=mtrTrans(:,7); +transY=1./(transR+j*transX); +Y1=Y1-sparse(transIall,transJall,transY./transK0all,nodeNum,nodeNum)-sparse(transJall,transIall,transY./transK0all,nodeNum,nodeNum)... + +sparse(transIall,transIall,transY./transK0all./transK0all,nodeNum,nodeNum)+sparse(transJall,transJall,transY,nodeNum,nodeNum); +Yt=sparse(transIall,transJall,-transY,nodeNum,nodeNum); %ÕâÑù´¦ÀíÊÇÒòΪÓÐÁ½Ì¨±äѹÆ÷Á½¶ËµÄ½ÚµãºÅÏàͬ£¬±ÜÃâÔÚ¸üнڵ㵼ÄɾØÕóʱֻʶ±ðһ̨±äѹÆ÷ +transIJ=sub2ind(size(Yt),transIall,transJall); +%±£Áô¿Éµ÷±äѹÆ÷²ÎÊý +transYt=Yt(transIJ); +ctrTransNum=find(transCtrl); +transI=transIall(ctrTransNum); +transJ=transJall(ctrTransNum); +transKmax=1/0.9*ones(size(transI)); +transKmin=1/1.1*ones(size(transI)); +transK0=transK0all(ctrTransNum); +transG=real(transYt(ctrTransNum)); +transB=imag(transYt(ctrTransNum)); +transG1=-real(transY(ctrTransNum)); %Ö®ËùÒÔҪȡ¸ººÅÊÇÒòΪtransG¡¢transBÊÇ×÷Ϊµ¼ÄɾØÕóÖеĻ¥µ¼ÄÉÀ´Óã¬ÔÚ¼ÆËã×Ôµ¼ÄɵÄʱºò×¢ÒâÒªÓÃ-transG¡¢-transB!!!! +transB1=-imag(transY(ctrTransNum)); +transNum=length(transI); +lineI=[lineI;transI]; %½«Ïß·ºÍ±äѹÆ÷֧·µÄ±àºÅºÏ²¢£¬ÔÚºóÃæÏß·ԼÊøµÄʱºòͬʱ´¦Àí +lineJ=[lineJ;transJ]; +lineNum=lineNum+transNum; +%% Çó½Úµãµ¼ÄɵķùÖµºÍÏà½Ç +[Yrows,Ycols,Y1] = find(Y1); +G=real(Y1); +B=imag(Y1); +G=sparse(Yrows,Ycols,G,nodeNum,nodeNum); +B=sparse(Yrows,Ycols,B,nodeNum,nodeNum); \ No newline at end of file diff --git a/Sigmoid函数法/midResult.m b/Sigmoid函数法/midResult.m new file mode 100644 index 0000000..e3f13d7 --- /dev/null +++ b/Sigmoid函数法/midResult.m @@ -0,0 +1,62 @@ +function [H1,N1,diagE,diagF,hx,Gap,max_hx,fx,Pg,Qg,xz1,dmaxOut1,xz2,dmaxOut2,xz3,dmaxOut3,xz4,dmaxOut4,PGR]=midResult(nodeNum,pgNode,opfGoal,z,l,u,w,... + Pg,Qg,e,f,G,B,a,b,c,PG,Pd,Qd,k,xz1,dmaxOut1,xz2,dmaxOut2,xz3,dmaxOut3,xz4,dmaxOut4,times,accuracy,mismatch) +%³ÌÐò¹¦ÄÜ£º¼ÆËãÿ´Îµü´úºóµÄÄ¿±êº¯ÊýÖµºÍµÈʽԼÊøµÄ×î´ó²»Æ½ºâÁ¿£¬²¢¸ù¾Ýÿ²½µü´ú½á¹ûÐÞÕý¹â»¬²ÎÊý +%±àдʱ¼ä£º2010Äê10Ô + +Gap=l'*z-u'*w; %¼ÆË㻥²¹¼ä϶ +PGR=PG; +if(opfGoal==2) + sumP=sum(Pg); + sumPd=sum(Pd); + fx=sumP-sumPd; +else if(opfGoal==1) + fx=sum(a(pgNode).*PGR(pgNode).*PGR(pgNode)+b(pgNode).*PGR(pgNode)+c(pgNode)); + else if(opfGoal==3) + EE=e*ones(1,nodeNum); + FF=f*ones(1,nodeNum); + fx=-0.5*sum(sum(G.*((EE-EE').^2+(FF-FF').^2),2)); + else if(opfGoal==4) + EE=e*ones(1,nodeNum); + FF=f*ones(1,nodeNum); + fx=0.5*sum(sum(B.*((EE-EE').^2+(FF-FF').^2),2)); + end + end + end +end +H1=G*e-B*f; +N1=G*f+B*e; +diagE=sparse(1:nodeNum,1:nodeNum,e,nodeNum,nodeNum); +diagF=sparse(1:nodeNum,1:nodeNum,f,nodeNum,nodeNum); +P=Pg-Pd; +Q=Qg-Qd; +dP=P-diagE*H1-diagF*N1; +dQ=Q-diagF*H1+diagE*N1; +hx=[dP;dQ]; +fx=full(fx); +max_hx=full(max(abs(hx))); +fprintf('%4.0f %4.4e %4.4e %7.6f\n',k,Gap,max_hx,fx); %Êä³öÿ´Îµü´ú½á¹û +firstOK=0; +if Gap=7 + pgctrl=find(economyPara(:,7)); %¿Éµ÷·¢µç»úµÄϱê + if isempty(pgctrl) + pgctrl=1:ecoRow; + end +else + pgctrl=1:ecoRow; +end +pgNumall=zeroIndex(7)-zeroIndex(6)-1; %·¢µç»ų́Êý +pgNodeall=economyPara(:,1); %·¢µç»ú½ÚµãºÅ +pgNum=length(pgctrl); %¿Éµ÷·¢µç»ų́Êý +pgNode=pgNodeall(pgctrl); %¿Éµ÷·¢µç»ú½ÚµãºÅ +c=sparse(economyPara(:,1),ones(pgNumall,1),economyPara(:,2),nodeNum,1); +b=sparse(economyPara(:,1),ones(pgNumall,1),economyPara(:,3),nodeNum,1); +a=sparse(economyPara(:,1),ones(pgNumall,1),economyPara(:,4),nodeNum,1); +Pmin=sparse(economyPara(:,1),ones(pgNumall,1),economyPara(:,5),nodeNum,1)/capacity;%·¢µç»úÓй¦³öÁ¦ÏÂÏÞ +Pmax=sparse(economyPara(:,1),ones(pgNumall,1),economyPara(:,6),nodeNum,1)/capacity;%·¢µç»úÓй¦³öÁ¦ÉÏÏÞ +%% ¶Á¿Éµ÷µçÈÝÆ÷×é²ÎÊý +capPara=data(zeroIndex(7)+1:zeroIndex(8)-1,:); +capNum=zeroIndex(8)-zeroIndex(7)-1; +capI=capPara(:,2); %µçÈÝÆ÷ͶÈë½Úµã±àºÅ +capGi=capPara(:,3); %¿Éµ÷µçÈÝÆ÷µ¥Î»µçµ¼ +capBi=capPara(:,4); %¿Éµ÷µçÈÝÆ÷µ¥Î»µçÄÉ +capK=capPara(:,5); %³õʼµµÎ»Öµ +capKmin=capPara(:,6); %µçÈÝÆ÷×îСµµÎ» +capKmax=capPara(:,7); %µçÈÝÆ÷×î´óµµÎ» +Vmax=1.07*ones(nodeNum,1); %½ÚµãµçѹÏÂÏÞ +Vmin=0.9*ones(nodeNum,1); %½ÚµãµçѹÉÏÏÞ diff --git a/Sigmoid函数法/readData_RPP.m b/Sigmoid函数法/readData_RPP.m new file mode 100644 index 0000000..7a1017e --- /dev/null +++ b/Sigmoid函数法/readData_RPP.m @@ -0,0 +1,69 @@ +function [nodeNum,lineNum,capacity,kmax,accuracy,balNum,balNode,mtrLine,mtrGround,mtrTrans,runPara,Pg,Qg,Pd,Qd,pvNum,pvNode,pvV,pvQmin,pvQmax,... + mtrCapacitor,pgNum,pgNode,a,b,c,Pmin,Pmax,Vmin,Vmax,centrPara]=readData_RPP(data) +%³ÌÐò¹¦ÄÜ£º¶ÁÈ¡Êý¾Ý +%±àдʱ¼ä£º2010Äê10Ô + +%% »ñÈ¡Ê×ÁÐÔªËØΪ0µÄÐкŠ+zeroIndex=find(data(:,1)==0); +%% ¶Áȡϵͳ²ÎÊý +nodeNum=data(1,1); %ϵͳ½ÚµãÊý +capacity=data(1,3); %»ù×¼ÈÝÁ¿ +accuracy=data(1,4); %¼ÆË㾫¶È +balNum=zeroIndex(2)-zeroIndex(1)-1; %ƽºâ½ÚµãÊý +balNode=data(zeroIndex(1)+1:zeroIndex(2)-1,2); %ƽºâ½Úµã±àºÅ +kmax=100; %×î´óµü´ú´ÎÊý +centrPara=0.1; %ÖÐÐIJÎÊý +%% ¶ÁÈ¡Ïß·²ÎÊý +mtrLine=data(zeroIndex(2)+1:zeroIndex(3)-1,:); +lineNum=length(mtrLine); +%% ¶ÁÈ¡±äѹÆ÷֧·²ÎÊý +mtrTrans=data(zeroIndex(3)+1:zeroIndex(4)-1,:); +%% ¶ÁÈ¡½ÓµØ֧·²ÎÊý +mtrGround=data(zeroIndex(5)+1:zeroIndex(6)-1,:); +%% ¶Á¿Éµ÷µçÈÝÆ÷²ÎÊý +mtrCapacitor=data(zeroIndex(6)+1:zeroIndex(7)-1,:); +%% ¶ÁÈ¡ÔËÐвÎÊý +runPara=data(zeroIndex(8)+1:zeroIndex(9)-1,:); +pqNode=runPara(:,2); +Pg=sparse(nodeNum,1); +Qg=Pg;Pd=Pg;Qd=Pg; +Pg(pqNode)=runPara(:,3); %½ÚµãÓй¦³öÁ¦ +Qg(pqNode)=runPara(:,4); %½ÚµãÎÞ¹¦³öÁ¦ +Pd(pqNode)=runPara(:,5); %½ÚµãÓй¦¸ººÉ +Qd(pqNode)=runPara(:,6); %½ÚµãÎÞ¹¦¸ººÉ +%% Óй¦³öÁ¦ÏÞÖÆ +mtrPGLimit=data(zeroIndex(9)+1:zeroIndex(10)-1,:); +pgNum=zeroIndex(10)-zeroIndex(9)-1; %·¢µç»ų́Êý +pgNode=mtrPGLimit(:,3); %·¢µç»ú½ÚµãºÅ +c=sparse(mtrPGLimit(:,3),ones(pgNum,1),mtrPGLimit(:,8),nodeNum,1); +b=sparse(mtrPGLimit(:,3),ones(pgNum,1),mtrPGLimit(:,9),nodeNum,1); +a=sparse(mtrPGLimit(:,3),ones(pgNum,1),mtrPGLimit(:,10),nodeNum,1); +Pmin=sparse(mtrPGLimit(:,3),ones(pgNum,1),mtrPGLimit(:,4),nodeNum,1); %·¢µç»úÓй¦³öÁ¦ÏÂÏÞ +Pmax=sparse(mtrPGLimit(:,3),ones(pgNum,1),mtrPGLimit(:,5),nodeNum,1); %·¢µç»úÓй¦³öÁ¦ÉÏÏÞ +%% ÎÞ¹¦³öÁ¦ÏÞÖÆ +mtrQGLimit=data(zeroIndex(11)+1:zeroIndex(12)-1,:); +pvNum=zeroIndex(12)-zeroIndex(11)-1; +pvNode=sparse(mtrQGLimit(:,3),ones(pvNum,1),mtrQGLimit(:,3),nodeNum,1); +pvNode=find(pvNode); %PV½ÚµãºÍƽºâ½Úµã±àºÅ +pvV=sparse(mtrQGLimit(:,3),ones(pvNum,1),mtrQGLimit(:,4),nodeNum,1); %PV½ÚµãºÍƽºâ½Úµã¸ø¶¨µçѹ +pvQmin=sparse(mtrQGLimit(:,3),ones(pvNum,1),mtrQGLimit(:,5),nodeNum,1); %ÎÞ¹¦³öÁ¦ÏÂÏÞ +pvQmax=sparse(mtrQGLimit(:,3),ones(pvNum,1),mtrQGLimit(:,6),nodeNum,1); %ÎÞ¹¦³öÁ¦ÉÏÏÞ +%% µçѹÏÞÖÆ +mtrVLimit=data(zeroIndex(13)+1:zeroIndex(14)-1,:); +VLimitNum=zeroIndex(14)-zeroIndex(13)-1; %µçѹÏÞÖƵĽڵãÊý +Vmin=sparse(mtrVLimit(:,2),ones(VLimitNum,1),mtrVLimit(:,3),nodeNum,1); +Vmax=sparse(mtrVLimit(:,2),ones(VLimitNum,1),mtrVLimit(:,4),nodeNum,1); +Vmin=0.9*ones(nodeNum,1); %·Çµçѹ¼à²âµãµçѹÏÞÖÆ +Vmax=1.15*ones(nodeNum,1); +node_Z=data(zeroIndex(14)+1:zeroIndex(15)-1,1); %±äѹÆ÷ÖÐÐԵ㣬ÕâЩµãµÄµçѹ²»¿¼ºË£¬ÉèÖÃΪ0.8-1.2 +Vmin(node_Z)=0.85; +Vmax(node_Z)=1.15; +node_220=data(zeroIndex(15)+1:zeroIndex(16)-1,1); %220kV¼°ÒÔÉϽڵã +Vmin(node_220)=0.95; +Vmax(node_220)=1.1; +node_750=data(zeroIndex(16)+1:zeroIndex(17)-1,1); %750kV½Úµã +Vmin(node_750)=1; +Vmax(node_750)=1.1; +node_Monitor=data(zeroIndex(17)+1:zeroIndex(18)-1,1); %·¢µç³§Éýѹ±äÒÔ¼°800kV±äµçÕ¾220¡¢363kVĸÏ߽ڵ㣬µçѹ¼à²âµã +Vmin(node_Monitor)=1; +Vmax(node_Monitor)=1.1; diff --git a/Sigmoid函数法/result_IEEE118.dat b/Sigmoid函数法/result_IEEE118.dat new file mode 100644 index 0000000..cbe5284 --- /dev/null +++ b/Sigmoid函数法/result_IEEE118.dat @@ -0,0 +1,212 @@ +31 7.9793e-006 0.780222 0.778376 0.2320 2.3864e-006 1 +0 + 8 5 0.9500 0.9739 1.0000 0.9500 +25 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0.06 0.0265 0.00 0.06 +693 0.06 0.0265 0.00 0.06 +810 0.36 0.3087 0.30 0.36 +0 diff --git a/Sigmoid函数法/seting.m b/Sigmoid函数法/seting.m new file mode 100644 index 0000000..34cf504 --- /dev/null +++ b/Sigmoid函数法/seting.m @@ -0,0 +1,66 @@ +function [e,f,PG,QR,Pg,Qg,T,pgvNum,xNum,m,r,l,u,z,w,x,y,para3,mu0,b0,bei,dmaxOut1,dmaxOut2,xz1,xz2,dmaxOut3,dmaxOut4,xz3,xz4,xz5,muOut,opfGoal,... + times,secondBegin,ifconverge,k2,mismatch]=seting(nodeNum,lineNum,transNum,transK0,capNum,capK,pvQmin,pvQmax,pvNum,pvNode,pvV,pgNum,pgNode,Pmin,Pmax,Pg,Qg) +%³ÌÐò¹¦ÄÜ£ºÔ¤¼ÆËã¹ý³Ì³õʼ»¯ +%±àдʱ¼ä£º2010Äê10Ô + +%³õʼ»¯µ÷Õû²ÎÊý +para3=0.6; %¶¸¶È²ÎÊýÐÞÕýÁ¿³õÖµ¦Â0 +para4=5; %¶¸¶È²ÎÊý³õÖµ +if nodeNum==30 %¸÷²âÊÔϵͳҪµÃµ½×îºÃµÄÓÅ»¯½á¹û£¬ÐèҪȡ²»Í¬µÄ¶¸¶È²ÎÊýÐÞÕýÖµ + para3=0.51; + para4=3.9; +else if nodeNum==118 + para3=0.09; + para4=5; + else if nodeNum==300 + para3=0.45; + para4=4.6; + else if nodeNum==1047 + para3=0.54; + para4=0.9; + else if nodeNum==1780 + para3=0.4; + para4=0.6; + end + end + end + end +end +mu0=para4; %mut,mubµÄ³õʼֵ +b0=para3; %¦Â0 +bei=20; %¶ÔZt£¬ZbµÄÉÏÏÂÏÞÏÞÖƵ÷Õû²ÎÊý +%% ÉèPQ½Úµãµçѹ·ùֵΪ1£¬Ïà½ÇΪ0 +e=ones(nodeNum,1); +f=sparse(nodeNum,1); +e(pvNode)=pvV(pvNode); %³õʼֵ¶Ô¼ÆËã½á¹ûÓÐÒ»µãµãÓ°Ïì +%% ·¢µç»úÓй¦ÎÞ¹¦³öÁ¦ÒÔ¼°ÎÞ¹¦Ô´ÎÞ¹¦³öÁ¦³õÖµ£¨·Ö±ðÈ¡ÉÏϽçµÄƽ¾ùÖµ£© +PG=(Pmin+Pmax)/2; %·¢µç»úÓй¦¹¦ÂʳõÖµ,È¡·¢µç»úÓй¦ÉÏÏÂÏÞµÄƽ¾ùÖµ +QR=(pvQmin+pvQmax)/2; %·¢µç»úÎÞ¹¦¹¦ÂʳõÖµ£¬È¡Æ½ºâ½Úµã¡¢PV½ÚµãÎÞ¹¦ÉÏÏÂÏÞµÄƽ¾ùÖµ +Pg(pgNode)=PG(pgNode); +Qg(pvNode)=QR(pvNode); +T=1./transK0; +x=[T;PG(pgNode);QR(pvNode);capK;e;f]; %ϵͳµÄ¿ØÖƱäÁ¿ºÍ״̬±äÁ¿ +%% É趨ËɳڱäÁ¿l,u,À­¸ñÀÊÈÕ³Ë×Óz,w,yµÄ³õÖµ +pgvNum=pgNum+pvNum; +xNum=pgvNum+2*nodeNum+transNum+capNum; %±äÁ¿¸öÊý +m=2*nodeNum; %µÈʽԼÊøÌõ¼þ¸öÊý +r=pgvNum+nodeNum+lineNum+transNum+capNum; %²»µÈʽԼÊøÌõ¼þ¸öÊý +s=1; +l=s*ones(r,1); %³õʼ»¯l,u,zΪ1£¬wΪ-1£¬yΪ0 +u=l; +z=l; +w=-l; +y=sparse(m,1); + +xz1=[];xz2=xz1;xz3=xz1;xz4=xz1;dmaxOut1=xz1;dmaxOut2=xz1;dmaxOut3=xz1; %ÓÃÓÚ±£´æÖмä¼ÆËã½á¹û£¬ÒÔÌṩ×÷ͼÊý¾Ý +dmaxOut4=xz1;xz5=xz1;muOut=xz1; + +opfGoal=2; %Ä¿±êº¯ÊýΪÓй¦³öÁ¦×îС +times=1; %¼ÆËã½×¶Î±êÖ¾ +secondBegin=1; %Á¬Ðø»¯´¦Àí½×¶Î¿ªÊ¼±êÖ¾ +ifconverge=0; %ÊÕÁ²±êÖ¾ +k2=0; +mismatch=0.00001; %×î´ó²»Æ½ºâÁ¿¼ÆË㾫¶È +if nodeNum==1780 %ÓÉÓÚ1780ϵͳÔÚÔ¤¼ÆËãʱ×î´ó²»Æ½ºâÁ¿ÒªÊÕÁ²µ½0.00001µÄ¾«¶Èµü´ú´ÎÊý»á±È½Ï¶à£¬ÎªÁËÌá¸ßÕûÌåÊÕÁ²ËÙ¶È + mismatch=0.01; %ÔÚÔ¤¼ÆËãʱ×î´ó²»Æ½ºâÁ¿¾«¶È´ïµ½0.01ÔòÊÓΪÊÕÁ²£¬ÔÚÁ¬Ðø»¯´¦ÀíÊÕÁ²Ê±×î´ó²»Æ½ºâÁ¿¾«¶È¿É´ï0.00001 +end diff --git a/Sigmoid函数法/snd_Constant.m b/Sigmoid函数法/snd_Constant.m new file mode 100644 index 0000000..49c232f --- /dev/null +++ b/Sigmoid函数法/snd_Constant.m @@ -0,0 +1,62 @@ +function [const,Lz,Lw,L1,U1]=snd_Constant(nodeNum,opfGoal,lineNum,transNum,transI,transJ,transG,transB,lineI,lineJ,balNode,mu,G,B,GIJ,BIJ,e,f,Pmin,Pmax,... + a,b,PG,QR,pvQmin,pvQmax,pgNum,pgvNum,xNum,pgNode,pvNode,dhx,dgx,L1,U1,LZ,UW,l,u,y,r,dT_Zt,capNum,hx,Vmax,Vmin,Zt,Zb,bei,mu0,oneTrans,oneCap) +%³ÌÐò¹¦ÄÜ£ºÁ¬Ðø»¯´¦Àí¹ý³Ì£¬ÐγÉÈŶ¯KKT·½³Ì²»Æ½ºâÁ¿¾ØÕó +%±àдʱ¼ä£º2010Äê10Ô + +%% ÐγÉÄ¿±êº¯ÊýÒ»½×Æ«µ¼¾ØÕó¨Œf(.) +if(opfGoal==2) + dPG=ones(pgNum,1); + dfx=sparse(transNum+1:transNum+pgNum,ones(pgNum,1),dPG,xNum,1); +else if(opfGoal==1) + dPG=2*a(pgNode).*PG(pgNode)+b(pgNode); + dfx=sparse(transNum+1:transNum+pgNum,ones(pgNum,1),dPG,xNum,1); + else if(opfGoal==3) + dfT=-transG.*dT_Zt.*((f(transI)-f(transJ)).^2+(e(transI)-e(transJ)).^2); + dfPQ=zeros(pgvNum,1); + dfcapK=zeros(capNum,1); + EE=e*ones(1,nodeNum); + FF=f*ones(1,nodeNum); + dfe=2*sum(G.*(EE-EE')); + dff=2*sum(G.*(FF-FF')); + dfx=[dfT;dfPQ;dfcapK;dfe';dff']; + else if(opfGoal==4) + dfT=transB.*dT_Zt.*((f(transI)-f(transJ)).^2+(e(transI)-e(transJ)).^2); + dfPQ=zeros(pgvNum,1); + dfcapK=zeros(capNum,1); + EE=e*ones(1,nodeNum); + FF=f*ones(1,nodeNum); + dfe=-2*sum(B.*(EE-EE')); + dff=-2*sum(B.*(FF-FF')); + dfx=[dfT;dfPQ;dfcapK;dfe';dff']; + end + end + end +end +%% ²»µÈʽԼÊøÏî +tmp=1; +Zbmin=-tmp*bei*mu0*oneCap; %ÕâÀï¼ÓÈëÁËZt£¬ZbµÄÈ¡ÖµÏÞÖÆÔÚ¶¸¶È²ÎÊý³õÖµµÄÒ»¶¨±¶Êý£¨È¡20±¶£¬Zt£¬ZbÈ¡µ½Õâ¸öÖµÒѾ­·Ç³£½Ó½ü0£¬»ò1£¬ +Zbmax=tmp*bei*mu0*oneCap; %ÍêÈ«¿ÉÒÔ±£Ö¤£©·¶Î§ÄÚ£¬ÕâÑù´¦Àí¼ÈÄܲ»Ó°Ïì¼ÆË㾫¶È£¬»¹¿ÉÒÔ±ÜÃâÓÉÓÚZt£¬ZbµÄ¾ø¶Ôֵȡֵ¹ý´ó£¬ +Ztmin=-tmp*bei*mu0*oneTrans; %ʹµÃÀëÉ¢±äÁ¿¹ýÔç¹Ì¶¨ÔÚ0»ò1´¦£¬¶øµ¼ÖÂÊÕÁ²À§ÄÑ +Ztmax=tmp*bei*mu0*oneTrans; +gxT=Zt; +gxTx=Ztmin; +gxTs=Ztmax; +gxv=[PG(pgNode);QR(pvNode);Zb;e.^2+f.^2]; %Ô¼ÊøÌõ¼þµ±Ç°Öµ +gxvx=[Pmin(pgNode);pvQmin(pvNode);Zbmin;Vmin.*Vmin]; %Ô¼ÊøÏÂÏÞ +gxvs=[Pmax(pgNode);pvQmax(pvNode);Zbmax;Vmax.*Vmax]; %Ô¼ÊøÉÏÏÞ +gxl=(e(lineI).*e(lineI)+f(lineI).*f(lineI)-e(lineI).*e(lineJ)-f(lineI).*f(lineJ)).*GIJ+(e(lineI).*f(lineJ)-e(lineJ).*f(lineI)).*BIJ;%Ïß·¹¦Âʵ±Ç°Öµ +gxlx=-ones(lineNum,1)*1000; %Ïß·ԼÊøÏÂÏÞ +gxls=ones(lineNum,1)*1000; %Ïß·ԼÊøÉÏÏÞ + +gx=[gxT;gxv;gxl]; %×éºÏËùÓÐÔ¼ÊøÌõ¼þ +gxx=[gxTx;gxvx;gxlx]; +gsx=[gxTs;gxvs;gxls]; +Lz=gx-l-gxx; +Lw=gx+u-gsx; +%% ÐγÉÐÞÕý·½³Ì³£ÊýÏîÏòÁ¿ +muUL=mu*(U1-L1); +BB1=UW*Lw-LZ*Lz-muUL*ones(r,1); +BB=dhx*y-dfx+dgx*BB1; %ÐÞÕý·½³Ì³£ÊýÏî¦×(.,¦Ì) +BB(transNum+pgvNum+capNum+nodeNum+balNode,1)=0; %±£³Öƽºâ½ÚµãµçѹÐ鲿²»±ä£¬Ê¼ÖÕΪ0£¬Ôò³£ÊýÏîƽºâ½Úµã´¦ÖÃ0 +BB(transNum+pgvNum+capNum+balNode,1)=0; %±£³Öƽºâ½Úµãµçѹʵ²¿²»±ä +const=[BB;hx]; %ÐÞÕý·½³Ì³£ÊýÏîÏòÁ¿ \ No newline at end of file diff --git a/Sigmoid函数法/snd_formHSB.m b/Sigmoid函数法/snd_formHSB.m new file mode 100644 index 0000000..bff5aa8 --- /dev/null +++ b/Sigmoid函数法/snd_formHSB.m @@ -0,0 +1,263 @@ +function [HSB,dhx,dgx,dgxT,GIJ,BIJ,L1,U1,LZ,UW,transG,transB,dT_Zt,mut,mub]=snd_formHSB(nodeNum,balNode,opfGoal,lineNum,transNum,lineI,lineJ,transI,transJ,... + T,transG,transB,pgNode,pvNode,G,B,e,f,pgNum,pvNum,pgvNum,xNum,a,m,r,l,u,z,w,y,kt0,mut,Zt,oneTrans,oneCap,Zb,mub,q0,capBi,capNum,capI,tij,Bci,N1,H1,diagE,... + diagF,b0,balNum) +%³ÌÐò¹¦ÄÜ£ºÁ¬Ðø»¯´¦Àí¹ý³Ì£¬ÐγÉÐÞÕý·½³ÌϵÊý¾ØÕó +%±àдʱ¼ä£º2010Äê10Ô + +%% ÐÞÕý¶¸¶È²ÎÊý¦Ìt +dicVar=[tij;Bci]; +tmp1=dicVar.*(1-dicVar); +if sum(tmp1)==0 + tmp2=0; +else + tmp2=tmp1/sum(tmp1); +end +tmp3=ones(transNum+capNum,1)./(ones(transNum+capNum,1)+tmp2); %¼ÆËãÿһ²½µü´úÖж¸¶È²ÎÊýµÄÐÞÕýÁ¿ +bk=tmp3*b0; + +mut_bk=bk(1:transNum); +mub_bk=bk(transNum+1:end); + +smallest=0.0000000001; %µ±¶¸¶È²ÎÊýÒѾ­·Ç³£½Ó½ü0ʱ£¬ÈÃÆäÒÔ0.9µÄËÙÂʼõС£¬±£Ö¤Æ仹ÄܼÌÐøϽµ£¬ +large_mut=find(mut>smallest); %²»¹ýֻҪѡÔñºÃÊʵ±µÄ¶¸¶È²ÎÊý³õÖµºÍÐÞÕý²ÎÊý£¬¶¸¶È²ÎÊý´ïµ½Õâ¸ö¾«¶Èʱ»ù±¾É϶¼ÒѾ­ÊÕÁ² +small_mut=find(mut<=smallest); +mut(large_mut)=mut_bk(large_mut).*mut(large_mut); +mut(small_mut)=0.9*mut(small_mut); +large_mub=find(mub>smallest); +small_mub=find(mub<=smallest); +mub(large_mub)=mub_bk(large_mub).*mub(large_mub); +mub(small_mub)=0.9*mub(small_mub); + +dT_Zt=oneTrans; +d2T_Zt2=oneTrans; +n_zt= Zt<0; %ΪÁ˱ÜÃâÖ¸ÊýÔËËãʱ³öÏֵļÆËã»úÒç³öÎÊÌ⣬ÔÚ¼ÆËãSigmoidº¯Êý¼°ÆäÒ»¡¢¶þ½×µ¼Êýʱ£¬ +p_zt= Zt>=0; %Çø·ÖZtµÄÕý¸ºÈ¡ÖµÇé¿ö£¬²ÉÓò»Í¬µÄ±í´ïÐÎʽ£¨Á½ÖÖÐÎʽÍêÈ«µÈ¼Û£©£¬ÕâÊÇËã·¨µÃÒÔʵÏֵĹؼü¡£ +n_Ezu=exp(Zt(n_zt)./mut(n_zt)); +dT_Zt(n_zt)=kt0(n_zt).*(n_Ezu./(mut(n_zt).*(oneTrans(n_zt)+n_Ezu).^2)); %ztΪ¸ºÊ±£¬T¶ÔztÇóÒ»´ÎÆ«µ¼ +d2T_Zt2(n_zt)=(dT_Zt(n_zt)./mut(n_zt)).*(oneTrans(n_zt)-2*n_Ezu./(oneTrans(n_zt)+n_Ezu));%ztΪ¸ºÊ±£¬T¶ÔztÇó¶þ´ÎÆ«µ¼ +p_Ezu=exp(-Zt(p_zt)./mut(p_zt)); +dT_Zt(p_zt)=kt0(p_zt).*(p_Ezu./(mut(p_zt).*(oneTrans(p_zt)+p_Ezu).^2)); %ztΪÕýʱ£¬T¶ÔztÇóÒ»´ÎÆ«µ¼ +d2T_Zt2(p_zt)=(dT_Zt(p_zt)./mut(p_zt)).*(oneTrans(p_zt)-2./(oneTrans(p_zt)+p_Ezu)); %ztΪÕýʱ£¬T¶ÔztÇó¶þ´ÎÆ«µ¼ +transGmut=transG.*dT_Zt; +transBmut=transB.*dT_Zt; + +dcapK_Zb=oneCap; +d2capK_Zb2=oneCap; +n_zb= Zb<0; %¶ÔÓÚZb£¬Í¬ÑùÒªÇø·ÖÆäÕý¸ºÈ¡Öµ½øÐмÆËã +p_zb= Zb>=0; +n_Ezbu=exp(Zb(n_zb)./mub(n_zb)); +dcapK_Zb(n_zb)=q0.*(n_Ezbu./(mub(n_zb).*(oneCap(n_zb)+n_Ezbu).^2)); %zbΪ¸ºÊ±£¬capK¶ÔzbÇóÒ»´ÎÆ«µ¼ +d2capK_Zb2(n_zb)=(dcapK_Zb(n_zb)./mub(n_zb)).*(oneCap(n_zb)-2*n_Ezbu./(oneCap(n_zb)+n_Ezbu));%zbΪ¸ºÊ±£¬capK¶ÔzbÇó¶þ´ÎÆ«µ¼ +p_Ezbu=exp(-Zb(p_zb)./mub(p_zb)); +dcapK_Zb(p_zb)=q0.*(p_Ezbu./(mub(p_zb).*(oneCap(p_zb)+p_Ezbu).^2)); %zbΪÕýʱ£¬capK¶ÔzbÇóÒ»´ÎÆ«µ¼ +d2capK_Zb2(p_zb)=(dcapK_Zb(p_zb)./mub(p_zb)).*(oneCap(p_zb)-2./(oneCap(p_zb)+p_Ezbu));%zbΪÕýʱ£¬capK¶ÔzbÇó¶þ´ÎÆ«µ¼ +capBi_dBci=capBi.*dcapK_Zb; + +%% ÐγɵÈʽԼÊøÑſɱȾØÕó +ef1=e(transI).*e(transJ)+f(transI).*f(transJ); +ef2=e(transI).*f(transJ)-e(transJ).*f(transI); +ef3=e(transI).*e(transI)+f(transI).*f(transI); +ef1G=ef1.*transGmut; +ef1B=ef1.*transBmut; +ef2G=ef2.*transGmut; +ef2B=ef2.*transBmut; +dhPTi=-ef1G+ef2B+2*ef3.*transGmut.*T; +dhPTj=-ef1G-ef2B; +dhPT=sparse(1:transNum,transI,dhPTi,transNum,nodeNum)+sparse(1:transNum,transJ,dhPTj,transNum,nodeNum);%Óй¦Æ½ºâ·½³ÌP¶Ô±äѹÆ÷±ä±ÈÇóÆ«µ¼ +dhQTi=ef1B+ef2G-2*ef3.*transBmut.*T; +dhQTj=ef1B-ef2G; +dhQT=sparse(1:transNum,transI,dhQTi,transNum,nodeNum)+sparse(1:transNum,transJ,dhQTj,transNum,nodeNum);%ÎÞ¹¦Æ½ºâ·½³ÌQ¶Ô±äѹÆ÷±ä±ÈÇóÆ«µ¼ +dhP=sparse(1:pgNum,pgNode,ones(pgNum,1),pgNum,m); +dhQ1=sparse(1:pvNum,pvNode,ones(pvNum,1),pvNum,nodeNum); +dhQ=[sparse(pvNum,nodeNum) dhQ1]; +dhcapK1=sparse(1:capNum,capI,(e(capI).^2+f(capI).^2).*capBi_dBci,capNum,nodeNum);%¹¦ÂÊƽºâ·½³Ì¶ÔµçÈݵ翹Æ÷×éÊýÇóÆ«µ¼ +dhcapK=[sparse(capNum,nodeNum) dhcapK1]; +%¹¦ÂÊ·½³ÌÑſɱȾØÕó +deG=diagE*G; +dfB=diagF*B; +deB=diagE*B; +dfG=diagF*G; +dH1=sparse(1:nodeNum,1:nodeNum,H1,nodeNum,nodeNum); +dN1=sparse(1:nodeNum,1:nodeNum,N1,nodeNum,nodeNum); +Hij=-dH1-deG-dfB; +Nij=-dN1+deB-dfG; +Jij=dN1-dfG+deB; +Lij=-dH1+dfB+deG; +dhJacb=[Hij Nij;Jij Lij]'; %ºÏ²¢Ðγɹ¦ÂÊ·½³ÌÑſɱȾØÕó +dhx=[dhPT dhQT;dhP;dhQ;dhcapK;dhJacb]; %ºÏ²¢ÐγɵÈʽԼÊøÑſɱȾØÕóh(x) +%% Ðγɲ»µÈʽԼÊøÑſɱȾØÕó¨Œg(x) +gtransNum=transNum; %ÔÚÔ­À´±ä±ÈºÍµçÈݵ翹Æ÷ÉÏÏÂÏÞ²»µÈʽԼÊøµÄÄ£¿é£¬Ì滻ΪZt¡¢ZbµÄÉÏÏÂÏÞ²»µÈʽԼÊø +gcapNum=capNum; +dgT1=sparse(1:transNum,1:transNum,ones(transNum,1),transNum,r-lineNum); +dglT=(e(transI).^2+f(transI).^2-e(transI).*e(transJ)-f(transI).*f(transJ))... + .*transGmut+(e(transI).*f(transJ)-e(transJ).*f(transI)).*transBmut; +dgT2=sparse(1:transNum,lineNum-transNum+1:lineNum,dglT,transNum,lineNum); +dgT=[dgT1 dgT2]; %ËùÓв»µÈʽ¶ÔZtÇóµ¼µÄÄ£¿é +dgP=sparse(1:pgNum,gtransNum+1:gtransNum+pgNum,ones(pgNum,1),pgNum,r); %ËùÓв»µÈʽԼÊø¶ÔPÇóµ¼µÄÄ£¿é +dgQ=sparse(1:pvNum,gtransNum+pgNum+1:gtransNum+pgvNum,ones(pvNum,1),pvNum,r);%ËùÓв»µÈʽԼÊø¶ÔQÇóµ¼µÄÄ£¿é +dgcapK=sparse(1:capNum,transNum+pgvNum+1:transNum+pgvNum+capNum,ones(capNum,1),capNum,r);%ËùÓв»µÈʽԼÊø¶ÔZbÇóµ¼µÄÄ£¿é +dgve=2*diagE; +dgvf=2*diagF; +sizeG=size(G); +GIJ=G(sub2ind(sizeG,lineI,lineJ)); +BIJ=B(sub2ind(sizeG,lineI,lineJ)); +dgleI=(2*e(lineI)-e(lineJ)).*GIJ+f(lineJ).*BIJ; +dgleJ=-e(lineI).*GIJ-f(lineI).*BIJ; +dglfI=(2*f(lineI)-f(lineJ)).*GIJ-e(lineJ).*BIJ; +dglfJ=-f(lineI).*GIJ+e(lineI).*BIJ; +dgle=sparse(lineI,(1:lineNum),dgleI,nodeNum,lineNum)+sparse(lineJ,(1:lineNum),dgleJ,nodeNum,lineNum); +dglf=sparse(lineI,(1:lineNum),dglfI,nodeNum,lineNum)+sparse(lineJ,(1:lineNum),dglfJ,nodeNum,lineNum); +dg0=sparse(m,gtransNum+pgvNum+gcapNum); +dgvl=[dgve dgle;dgvf dglf]; +dgef=[dg0 dgvl]; %ËùÓв»µÈʽԼÊø¶Ôµçѹʵ²¿¡¢Ð鲿ÇóÆ«µ¼µÄÄ£¿é +dgx=[dgT;dgP;dgQ;dgcapK;dgef]; %²»µÈʽԼÊøÑſ˱ȾØÕó +%% ÐγɶԽÇÕó +Z=sparse(1:r,1:r,z,r,r); +W=sparse(1:r,1:r,w,r,r); +L1=sparse(1:r,1:r,1./l,r,r); +U1=sparse(1:r,1:r,1./u,r,r); +LZ=L1*Z; +UW=U1*W; +%% Ðγɺ£É­²®¾ØÕó +%Ä¿±êº¯ÊýµÄº£É­²®¾ØÕó¨Œ2f(x) +if(opfGoal==2) %Ä¿±êΪÓй¦³öÁ¦×îС + HSdfx=sparse(xNum,xNum); +else if(opfGoal==1) + HSdfx=sparse(transNum+1:transNum+pgNum,transNum+1:transNum+pgNum,2*a(pgNode),xNum,xNum);%½öÄ¿±êº¯Êý¶ÔPGÇóÆ«µ¼´¦µÄ¶Ô½ÇԪΪ·ÇÁãÔªËØ£¬ÆäËû¶¼Îª0(Ä¿±êΪ·¢µçºÄÁ¿×îС) + else if(opfGoal==3) + d2ftei=-2*transGmut.*(e(transI)-e(transJ)); + d2ftej=-d2ftei; + d2ftfi=-2*transGmut.*(f(transI)-f(transJ)); + d2ftfj=-d2ftfi; + d2fte=sparse(1:transNum,transI,d2ftei,transNum,nodeNum)+sparse(1:transNum,transJ,d2ftej,transNum,nodeNum); + d2ftf=sparse(1:transNum,transI,d2ftfi,transNum,nodeNum)+sparse(1:transNum,transJ,d2ftfj,transNum,nodeNum); + d2fT2=-transG.*d2T_Zt2.*((f(transI)-f(transJ)).^2+(e(transI)-e(transJ)).^2); + d2fT0=sparse(1:transNum,1:transNum,d2fT2,transNum,transNum+pgvNum+capNum); + d2fT=[d2fT0 d2fte d2ftf]; + d2fPGQR=sparse(pgvNum,xNum); + d2fcapK=sparse(capNum,xNum); + d2fee=2*(G-sparse(1:nodeNum,1:nodeNum,sum(G,2),nodeNum,nodeNum)); + d2fff=d2fee; + zero_nodeNum=sparse(nodeNum,nodeNum); + d2f_ef_ef=[d2fee zero_nodeNum;zero_nodeNum d2fff]; + d2efT=[d2fte d2ftf]'; + d2f_ef=[d2efT sparse(2*nodeNum,pgvNum+capNum) d2f_ef_ef]; + HSdfx=[d2fT;d2fPGQR;d2fcapK;d2f_ef]; + else if(opfGoal==4) + d2ftei=2*transBmut.*(e(transI)-e(transJ)); + d2ftej=-d2ftei; + d2ftfi=2*transBmut.*(f(transI)-f(transJ)); + d2ftfj=-d2ftfi; + d2fte=sparse(1:transNum,transI,d2ftei,transNum,nodeNum)+sparse(1:transNum,transJ,d2ftej,transNum,nodeNum); + d2ftf=sparse(1:transNum,transI,d2ftfi,transNum,nodeNum)+sparse(1:transNum,transJ,d2ftfj,transNum,nodeNum); + d2fT2=transB.*d2T_Zt2.*((f(transI)-f(transJ)).^2+(e(transI)-e(transJ)).^2); + d2fT0=sparse(1:transNum,1:transNum,d2fT2,transNum,transNum+pgvNum+capNum); + d2fT=[d2fT0 d2fte d2ftf]; + d2fPGQR=sparse(pgvNum,xNum); + d2fcapK=sparse(capNum,xNum); + d2fee=-2*(B-sparse(1:nodeNum,1:nodeNum,sum(G,2),nodeNum,nodeNum)); + d2fff=d2fee; + zero_nodeNum=sparse(nodeNum,nodeNum); + d2f_ef_ef=[d2fee zero_nodeNum;zero_nodeNum d2fff]; + d2efT=[d2fte d2ftf]'; + d2f_ef=[d2efT sparse(2*nodeNum,pgvNum+capNum) d2f_ef_ef]; + HSdfx=[d2fT;d2fPGQR;d2fcapK;d2f_ef]; + end + end + end +end +%µÈʽԼÊøº£É­²®¾ØÕóÓëÀ­¸ñÀÊÈÕ³Ë×ÓyµÄ³Ë»ý¨Œ2h(x)*y +y1=y(1:nodeNum,1); +y2=y(nodeNum+1:2*nodeNum,1); +ef1Gd2=ef1.*transG.*d2T_Zt2; +ef1Bd2=ef1.*transB.*d2T_Zt2; +ef2Gd2=ef2.*transG.*d2T_Zt2; +ef2Bd2=ef2.*transB.*d2T_Zt2; +d2P_T2=(-ef1Gd2+ef2Bd2+2*ef3.*transG.*(dT_Zt.^2+T.*d2T_Zt2)).*y1(transI)+(-ef1Gd2-ef2Bd2).*y1(transJ); +d2Q_T2=(ef1Bd2+ef2Gd2-2*ef3.*transB.*(dT_Zt.^2+T.*d2T_Zt2)).*y2(transI)+(ef1Bd2-ef2Gd2).*y2(transJ); +dhT2=d2P_T2+d2Q_T2; %¹¦ÂÊ·½³Ì¶Ô±äѹÆ÷ZtÇó¶þ´ÎÆ«µ¼ËùµÃµÄÁÐÏòÁ¿ +HSdhT=sparse(1:transNum,1:transNum,dhT2,transNum+pgvNum+capNum,transNum+pgvNum+capNum)+... + sparse(transNum+pgvNum+1:transNum+pgvNum+capNum,transNum+pgvNum+1:transNum+pgvNum+capNum,... + (e(capI).^2+f(capI).^2).*d2capK_Zb2.*y2(capI),transNum+pgvNum+capNum,transNum+pgvNum+capNum); +eiG=e(transI).*transGmut; +ejG=e(transJ).*transGmut; +eiB=e(transI).*transBmut; +ejB=e(transJ).*transBmut; +fiG=f(transI).*transGmut; +fjG=f(transJ).*transGmut; +fiB=f(transI).*transBmut; +fjB=f(transJ).*transBmut; +ejG_fjB=ejG-fjB; +ejGfjB=ejG+fjB; +fjGejB=fjG+ejB; +ejB_fjG=ejB-fjG; +eiGfiB=eiG+fiB; +eiG_fiB=eiG-fiB; +eiB_fiG=eiB-fiG; +fiGeiB=fiG+eiB; +dP2_ei_t=(4*eiG.*T-ejG_fjB).*y1(transI)-ejGfjB.*y1(transJ); +dP2_ej_t=-eiGfiB.*y1(transI)-eiG_fiB.*y1(transJ); +dQ2_ei_t=(-4*eiB.*T+fjGejB).*y2(transI)+ejB_fjG.*y2(transJ); +dQ2_ej_t=eiB_fiG.*y2(transI)+fiGeiB.*y2(transJ); +HSdh_et=sparse(1:transNum,transI,dP2_ei_t+dQ2_ei_t,transNum,nodeNum)+sparse(1:transNum,transJ,dP2_ej_t+dQ2_ej_t,transNum,nodeNum);%¹¦ÂÊ·½³ÌÏȶÔZtÇóÆ«µ¼£¬ÔÙ¶Ôµçѹʵ²¿ÇóÆ«µ¼Ä£¿é +dP2_fi_t=(4*fiG.*T-fjGejB).*y1(transI)+ejB_fjG.*y1(transJ); +dP2_fj_t=eiB_fiG.*y1(transI)-fiGeiB.*y1(transJ); +dQ2_fi_t=(-4*fiB.*T-ejG_fjB).*y2(transI)+ejGfjB.*y2(transJ); +dQ2_fj_t=eiGfiB.*y2(transI)-eiG_fiB.*y2(transJ); +HSdh_ft=sparse(1:transNum,transI,dP2_fi_t+dQ2_fi_t,transNum,nodeNum)+sparse(1:transNum,transJ,dP2_fj_t+dQ2_fj_t,transNum,nodeNum);%¹¦ÂÊ·½³ÌÏȶÔZtÇóÆ«µ¼£¬ÔÙ¶ÔµçѹÐ鲿ÇóÆ«µ¼Ä£¿é +HSdh_eft=[HSdh_et HSdh_ft]; +HSdh_tef=HSdh_eft'; +HSdhPQ=sparse(pgvNum,2*nodeNum); %¹¦ÂÊ·½³ÌÏȶÔPG¡¢QRÇóÆ«µ¼£¬ÔÙ¶ÔÆäËû±äÁ¿ÇóÆ«µ¼µÄ²¿·Ö +d2hcap_e=sparse(1:capNum,capI,2*e(capI).*capBi_dBci.*y2(capI),capNum,nodeNum); %¹¦ÂÊ·½³ÌÏȶÔZbÇóÆ«µ¼£¬ÔÙ¶ÔeÇóÆ«µ¼µÄ²¿·Ö +d2hcap_f=sparse(1:capNum,capI,2*f(capI).*capBi_dBci.*y2(capI),capNum,nodeNum); %¹¦ÂÊ·½³ÌÏȶÔZbÇóÆ«µ¼£¬ÔÙ¶ÔfÇóÆ«µ¼µÄ²¿·Ö +HSdhcap_ef=[d2hcap_e d2hcap_f]; +d2htPQ_ef=[HSdh_eft;HSdhPQ;HSdhcap_ef]; +HSdhtPQ=[HSdhT d2htPQ_ef]; +HSdhx1=sparse(m,pgvNum); +%³±Á÷·½³Ìº£É­¾ØÕó +diagy1=sparse(1:nodeNum,1:nodeNum,y1,nodeNum,nodeNum); +diagy2=sparse(1:nodeNum,1:nodeNum,y2,nodeNum,nodeNum); +HSdhey=-diagy1*G+diagy2*B+(-G*diagy1+B*diagy2); +HSdhefy=diagy1*B+diagy2*G-(B*diagy1+G*diagy2); +HSdhx2=[HSdhey HSdhefy;HSdhefy' HSdhey]; +HSdhx=[HSdhtPQ;HSdh_tef HSdhx1 HSdhcap_ef' HSdhx2]; +%Ðγɲ»µÈʽԼÊø¶þ½×Æ«µ¼µÄ¾ØÕó¨Œ2g(x)*(z+w) +ZWcl=z(gtransNum+pgvNum+gcapNum+nodeNum+1:end)+w(gtransNum+pgvNum+gcapNum+nodeNum+1:end); +ZWv=z(gtransNum+pgvNum+gcapNum+1:gtransNum+pgvNum+gcapNum+nodeNum)+w(gtransNum+pgvNum+gcapNum+1:gtransNum+pgvNum+gcapNum+nodeNum); +dg2T=((e(transI).^2+f(transI).^2-e(transI).*e(transJ)-f(transI).*f(transJ)).*transG.*d2T_Zt2+... + (e(transI).*f(transJ)-e(transJ).*f(transI)).*transB.*d2T_Zt2).*ZWcl(lineNum-transNum+1:end); +HSdg2T=sparse(1:transNum,1:transNum,dg2T,transNum,transNum); %²»µÈʽ¶ÔZtÇó¶þ´ÎÆ«µ¼Ä£¿é +dgeiT=((2*e(transI)-e(transJ)).*transGmut+f(transJ).*transBmut).*ZWcl(lineNum-transNum+1:end); +dgejT=(-e(transI).*transGmut-f(transI).*transBmut).*ZWcl(lineNum-transNum+1:end); +dgeT=sparse(1:transNum,transI,dgeiT,transNum,nodeNum)+sparse(1:transNum,transJ,dgejT,transNum,nodeNum);%²»µÈʽԼÊøÏȶÔZtÇóÆ«µ¼£¬ÔÙ¶ÔeÇóÆ«µ¼µÄÄ£¿é +dgfiT=((2*f(transI)-f(transJ)).*transGmut-e(transJ).*transBmut).*ZWcl(lineNum-transNum+1:end); +dgfjT=(-f(transI).*transGmut+e(transI).*transBmut).*ZWcl(lineNum-transNum+1:end); +dgfT=sparse(1:transNum,transI,dgfiT,transNum,nodeNum)+sparse(1:transNum,transJ,dgfjT,transNum,nodeNum);%²»µÈʽԼÊøÏȶÔZtÇóÆ«µ¼£¬ÔÙ¶ÔfÇóÆ«µ¼µÄÄ£¿é +HSdgefT=[dgeT dgfT]; +HSdgT=[HSdg2T sparse(transNum,pgvNum+capNum) HSdgefT]; +HSdgee=sparse(lineI,lineI,2*GIJ.*ZWcl,nodeNum,nodeNum)-sparse(lineI,lineJ,GIJ.*ZWcl,nodeNum,nodeNum)-... + sparse(lineJ,lineI,GIJ.*ZWcl,nodeNum,nodeNum)+sparse(1:nodeNum,1:nodeNum,2*ZWv,nodeNum,nodeNum); +HSdgff=HSdgee; %ËùÓв»µÈʽԼÊø¶Ôe¡¢fÇó¶þ´ÎÆ«µ¼Ä£¿é +HSdgef=sparse(lineI,lineJ,BIJ.*ZWcl,nodeNum,nodeNum)-sparse(lineJ,lineI,BIJ.*ZWcl,nodeNum,nodeNum); +HSdgfe=HSdgef'; +HSdgx1=[HSdgee HSdgef;HSdgfe HSdgff]; +HSdgxtPQ_0=sparse(pgvNum+capNum,xNum); +HSdgef_0=[HSdgefT' sparse(2*nodeNum,pgvNum+capNum)]; +HSdgx=[HSdgT;HSdgxtPQ_0;HSdgef_0 HSdgx1]; %ºÏ³É²»µÈʽԼÊøº£É­¾ØÕó +%ÇóºÍÐγÉH(.)¾ØÕó. +dgxT=dgx'; %ÇódgxµÄתÖà +MULdgx=dgx*(UW-LZ)*dgxT; +H=HSdhx+HSdgx-HSdfx+MULdgx; %ÇóºÍÐγÉH(.)¾ØÕó. +%% ¸ù¾ÝÒÔÉÏËùÇóµÄ¸÷¸ö¾ØÕóºÏ³Éº£É­²®¾ØÕó +HSB0=sparse(m,m); +HSB=[H dhx;dhx' HSB0]; +balN=transNum+pgvNum+capNum+nodeNum+balNode; +HSB(balN,:)=0; %±£³Öƽºâ½ÚµãµçѹÐ鲿²»±ä£¬Ê¼ÖÕΪ0£¬¼´½«º£É­¾ØÕóÖÐƽºâ½ÚµãÐ鲿Ëù¶ÔÓ¦µÄÐÐÁÐÔªËØÖÃ0£¬¶Ô½ÇÔªËØÖÃ1 +HSB(:,balN)=0; +HSB_balN=sub2ind(size(HSB),balN,balN); +HSB(HSB_balN)=ones(balNum,1); +balN1=transNum+pgvNum+capNum+balNode; +HSB(balN1,:)=0; %±£³Öƽºâ½Úµãµçѹʵ²¿²»±ä£¬Ê¼ÖÕΪ0£¬¼´½«º£É­¾ØÕóÖÐƽºâ½Úµãʵ²¿Ëù¶ÔÓ¦µÄÐÐÁÐÔªËØÖÃ0£¬¶Ô½ÇÔªËØÖÃ1 +HSB(:,balN1)=0; +HSB_balN1=sub2ind(size(HSB),balN1,balN1); +HSB(HSB_balN1)=ones(balNum,1); \ No newline at end of file diff --git a/Sigmoid函数法/snd_setting.m b/Sigmoid函数法/snd_setting.m new file mode 100644 index 0000000..9a04d42 --- /dev/null +++ b/Sigmoid函数法/snd_setting.m @@ -0,0 +1,44 @@ +function [x,secondBegin,mut,oneTrans,Zt,tij,Tn,kt0,r,l,u,z,w,y,oneCap,capKn,Bci,Zb,mub,q0,Tn1,capKn1,Kn,capK,firstT,firstcapK,firstfx,firstV,Gap]=... + snd_setting(x,secondBegin,transNum,T,transKmin,transKmax,r,m,capNum,capK,pgvNum,mu0,capBi,fx,e,f) +%³ÌÐò¹¦ÄÜ£ºÁ¬Ðø»¯´¦Àí¹ý³ÌÖØгõʼ»¯ +%±àдʱ¼ä£º2010Äê10Ô + +%% ±£ÁôÔ¤¼ÆËã½á¹û +firstT=T; +firstcapK=capK; +firstfx=fx; +firstV=sqrt(e.^2+f.^2); +%% Á¬Ðø»¯´¦Àí½×¶Î¸³³õÖµ +secondBegin=secondBegin-1; +oneTrans=ones(transNum,1); +oneCap=ones(capNum,1); +mut=oneTrans*mu0; %Zt¶ÔÓ¦µÄ¶¸¶È²ÎÊý³õÖµ +mub=oneCap*mu0; %Zb¶ÔÓ¦µÄ¶¸¶È²ÎÊý³õÖµ +maxTap=5; %±äѹÆ÷×î´óµ÷½ÚµµÎ» +K=1./T; %±äѹÆ÷²ÉÓõÄÊÇk£º1Ä£ÐÍ£¬µ«ÊÇΪÁËÍƵ¼¹«Ê½·½±ã½«T=1/k´úÈ빫ʽÖУ¬ÔÚ»ñȡʵ¼Ê±ä±ÈʱҪת»¯»ØÀ´ +Kmax=1./transKmin; +Kmin=1./transKmax; +kt0=(Kmax-Kmin)/(maxTap-1); %±äѹÆ÷µ¥Î»µ÷½Ú·ù¶È +Kn=fix((K-Kmin)./kt0).*kt0+Kmin; %»ñÈ¡±äѹÆ÷±äÁ¿Á¬Ðø×îÓŽâ×óÓÒÁ½²àµµÎ»¶ÔÓ¦µÄ±ä±È +Kn1=Kn+kt0; +Tn=1./Kn1; +Tn1=1./Kn; +kt0=Tn1-Tn; + +q0=1; %µçÈÝÆ÷µµÎ»µÄµ¥Î»µ÷½Ú·ù¶È +capK=capK./capBi; %ÓÉÓÚÔÚÔ¤¼ÆËãÖÐcapKÊDZíʾͶÈëµçÈÝÆ÷µÄÈÝÁ¿£¬¶øÕâÀïÊÇÒª½«ÆäתΪͶÈëµçÈÝÆ÷µÄµµÎ» +capKn=floor(capK); +capKn1=capKn+q0; +tij=(T-Tn)./kt0; %¾­¹ýÔ¤¼ÆËãºó£¬¶ÔÀëÉ¢Á¿µÄÇó½âת±äΪÇó½â0-1±äÁ¿ +Bci=(capK-capKn)/q0; +Zt=mut.*log(tij./(oneTrans-tij)); %±ä±È¶ÔÓ¦µÄÐÂÒýÈëÁ¬Ðø±äÁ¿ +Zb=mub.*log(Bci./(oneCap-Bci)); %µçÈݵ翹Æ÷¶ÔÓ¦µÄÐÂÒýÈëµÄÁ¬Ðø±äÁ¿ +x(1:transNum)=Zt; %ÔÚÁ¬Ðø»¯´¦Àí½×¶Î£¬ËùÇóµÄ±äÁ¿²»ÔÙÊÇÔ­À´µÄÀëÉ¢±äÁ¿£¬¶øÊÇÐÂÒýÈëµÄÁ¬Ðø±äÁ¿ +x(transNum+pgvNum+1:transNum+pgvNum+capNum)=Zb; +%% Á¬Ðø»¯´¦Àí½×¶ÎÖØиøËɳÚÒò×ÓºÍÀ­¸ñÀÊÈÕ³Ë×Ó¸³³õÖµ +l=ones(r,1); +u=l; +z=l; +w=-l; +y=sparse(m,1); +Gap=l'*z-u'*w; \ No newline at end of file diff --git a/Sigmoid函数法/snd_solve.m b/Sigmoid函数法/snd_solve.m new file mode 100644 index 0000000..11a87be --- /dev/null +++ b/Sigmoid函数法/snd_solve.m @@ -0,0 +1,77 @@ +function [z,l,u,w,x,y,PG,QR,Pg,Qg,e,f,T,G,B,Zt,tij,Zb,Bci,capK,mut,mub]=snd_solve(HSB,const,mu,r,nodeNum,pgNum,pvNum,pgvNum,xNum,transNum,pgNode,pvNode,... + Pg,Qg,m,x,y,z,l,u,w,Lz,Lw,LZ,UW,dgxT,L1,U1,G,B,transI,transJ,T,transG1,transB1,kt0,Tn,mut,oneTrans,q0,capKn,mub,oneCap,capK,capNum,capI,capBi) +%³ÌÐò¹¦ÄÜ£ºÁ¬Ðø»¯´¦Àí¹ý³Ì£¬Çó½âÐÞÕý·½³Ì +%±àдʱ¼ä£º2010Äê10Ô + +%% Çó½â·½³Ì£¬Çó³ö¸÷±äÁ¿µÄÐÞÕýÁ¿ +dX=-HSB\const; +dx=dX(1:xNum,1); +dy=dX(xNum+1:xNum+m,1); +dl=dgxT*dx+Lz; +du=-dgxT*dx-Lw; +Ll=(l.*z-mu*ones(r,1)); +Lu=(u.*w+mu*ones(r,1)); +diagZ=sparse(1:r,1:r,z,r,r); +diagW=sparse(1:r,1:r,w,r,r); +dz=-LZ*dgxT*dx-L1*(diagZ*Lz+Ll); +dw=UW*dgxT*dx+U1*(diagW*Lw-Lu); + +%Çó×î´ó²½³¤ +minusdz=find(dz<0); +dzmin=min(-z(minusdz)./dz(minusdz)); +minusdl=find(dl<0); +dlmin=min(-l(minusdl)./dl(minusdl)); +minusdw=find(dw>0); +dwmin=min(-w(minusdw)./dw(minusdw)); +minusdu=find(du<0); +dumin=min(-u(minusdu)./du(minusdu)); +ap=min(dlmin,dumin); +ad=min(dzmin,dwmin); +stepp=0.9995*min(ap,1); +stepd=0.9995*min(ad,1); + +%¸üбäÁ¿ +x=x+stepp*dx; +l=l+stepp*dl; +u=u+stepp*du; +y=y+stepd*dy; +z=z+stepd*dz; +w=w+stepd*dw; + +%±£ÁôÉÏÒ»´Î¼ÆËãµÄ±ä±È£¬ÓÃÓÚÐÞÕý½Úµãµ¼ÄɾØÕó +Tlast=T; +capKlast=capK; + +%¸ø¿ØÖƱäÁ¿¡¢×´Ì¬±äÁ¿ÖØи³Öµ +Zt=x(1:transNum,1); +Zb=x(transNum+pgvNum+1:transNum+pgvNum+capNum); +tij=oneTrans; +Bci=oneCap; +n_zt= Zt<0; +p_zt= Zt>=0; +tij(n_zt)=exp(Zt(n_zt)./mut(n_zt))./(exp(Zt(n_zt)./mut(n_zt))+oneTrans(n_zt));%ΪÁ˱ÜÃâ¼ÆËã»úÒç³ö£¬¶ÔZtΪÕýΪ¸ºÊ±£¬·Ö¿ª±í´ïʽ¼ÆË㣬Á½ÖÖ±í´ïʽµÈ¼Û +tij(p_zt)=oneTrans(p_zt)./(oneTrans(p_zt)+exp(-Zt(p_zt)./mut(p_zt))); +n_zb= Zb<0; +p_zb= Zb>=0; +Bci(n_zb)=exp(Zb(n_zb)./mub(n_zb))./(exp(Zb(n_zb)./mub(n_zb))+oneCap(n_zb)); +Bci(p_zb)=oneCap(p_zb)./(oneCap(p_zb)+exp(-Zb(p_zb)./mub(p_zb))); +T=Tn+tij.*kt0; %¸ù¾ÝSigmoidº¯Êý¸üÐÂTºÍcapK +capK=capKn+Bci.*q0; + +PG(pgNode,1)=x(transNum+1:transNum+pgNum,1); +QR(pvNode,1)=x(transNum+pgNum+1:transNum+pgNum+pvNum,1); +e=x(transNum+pgNum+pvNum+capNum+1:transNum+pgNum+pvNum+capNum+nodeNum,1); +f=x(transNum+pgNum+pvNum+capNum+nodeNum+1:xNum,1); +Pg(pgNode)=PG(pgNode); +Qg(pvNode)=QR(pvNode); + +%% ±ä±È±ä»¯ºóÐèÐÞÕý½Úµãµ¼ÄɾØÕó +transG=transG1; +transB=transB1; +G=G-sparse(transI,transI,(T.*T-Tlast.*Tlast).*transG,nodeNum,nodeNum)... + +sparse(transI,transJ,transG.*(T-Tlast),nodeNum,nodeNum)... + +sparse(transJ,transI,transG.*(T-Tlast),nodeNum,nodeNum); +B=B-sparse(transI,transI,(T.*T-Tlast.*Tlast).*transB,nodeNum,nodeNum)... + +sparse(transI,transJ,transB.*(T-Tlast),nodeNum,nodeNum)... + +sparse(transJ,transI,transB.*(T-Tlast),nodeNum,nodeNum)... + +sparse(capI,capI,(capK-capKlast).*capBi,nodeNum,nodeNum); \ No newline at end of file diff --git a/Sigmoid函数法/solve.m b/Sigmoid函数法/solve.m new file mode 100644 index 0000000..3c9e7e6 --- /dev/null +++ b/Sigmoid函数法/solve.m @@ -0,0 +1,65 @@ +function [z,l,u,w,x,y,PG,QR,Pg,Qg,e,f,T,capK,G,B]=solve(HSB,const,mu,r,nodeNum,pgNum,pvNum,xNum,transNum,capNum,capI,capK,pgNode,pvNode,... + Pg,Qg,m,x,y,z,l,u,w,Lz,Lw,LZ,UW,dgxT,L1,U1,G,B,transI,transJ,T,transG1,transB1) +%³ÌÐò¹¦ÄÜ£ºÔ¤¼ÆËã¹ý³Ì£¬Çó½âÐÞÕý·½³Ì +%±àдʱ¼ä£º2010Äê10Ô + +%% Çó½â·½³Ì£¬Çó³ö¸÷±äÁ¿µÄÐÞÕýÁ¿ +dX=-HSB\const; +dx=dX(1:xNum,1); +dy=dX(xNum+1:xNum+m,1); +dl=dgxT*dx+Lz; +du=-dgxT*dx-Lw; +Ll=(l.*z-mu*ones(r,1)); +Lu=(u.*w+mu*ones(r,1)); +diagZ=sparse(1:r,1:r,z,r,r); +diagW=sparse(1:r,1:r,w,r,r); +dz=-LZ*dgxT*dx-L1*(diagZ*Lz+Ll); +dw=UW*dgxT*dx+U1*(diagW*Lw-Lu); + +%% Çó×î´ó²½³¤ +minusdz=find(dz<0); +dzmin=min(-z(minusdz)./dz(minusdz)); +minusdl=find(dl<0); +dlmin=min(-l(minusdl)./dl(minusdl)); +minusdw=find(dw>0); +dwmin=min(-w(minusdw)./dw(minusdw)); +minusdu=find(du<0); +dumin=min(-u(minusdu)./du(minusdu)); + +ap=min(dlmin,dumin); +ad=min(dzmin,dwmin); +stepp=0.9995*min(ap,1); +stepd=0.9995*min(ad,1); + +%¸üбäÁ¿ +x=x+stepp*dx; +l=l+stepp*dl; +u=u+stepp*du; +y=y+stepd*dy; +z=z+stepd*dz; +w=w+stepd*dw; + +%±£ÁôÉÏÒ»´Î¼ÆËãµÄ±ä±È£¬ÓÃÓÚÐÞÕý½Úµãµ¼ÄɾØÕó +Tlast=T; +capKlast=capK; + +%¸ø¿ØÖƱäÁ¿¡¢×´Ì¬±äÁ¿ÖØи³Öµ +T=x(1:transNum,1); +PG(pgNode,1)=x(transNum+1:transNum+pgNum,1); +QR(pvNode,1)=x(transNum+pgNum+1:transNum+pgNum+pvNum,1); +capK=x(transNum+pgNum+pvNum+1:transNum+pgNum+pvNum+capNum,1); +e=x(transNum+pgNum+pvNum+capNum+1:transNum+pgNum+pvNum+capNum+nodeNum,1); +f=x(transNum+pgNum+pvNum+capNum+nodeNum+1:xNum,1); +Pg(pgNode)=PG(pgNode); +Qg(pvNode)=QR(pvNode); + +%% ±ä±È±ä»¯ºóÐèÐÞÕý½Úµãµ¼ÄɾØÕó +transG=transG1; +transB=transB1; +G=G-sparse(transI,transI,(T.*T-Tlast.*Tlast).*transG,nodeNum,nodeNum)... + +sparse(transI,transJ,transG.*(T-Tlast),nodeNum,nodeNum)... + +sparse(transJ,transI,transG.*(T-Tlast),nodeNum,nodeNum); +B=B-sparse(transI,transI,(T.*T-Tlast.*Tlast).*transB,nodeNum,nodeNum)... + +sparse(transI,transJ,transB.*(T-Tlast),nodeNum,nodeNum)... + +sparse(transJ,transI,transB.*(T-Tlast),nodeNum,nodeNum)... + +sparse(capI,capI,(capK-capKlast),nodeNum,nodeNum); \ No newline at end of file