77 lines
2.5 KiB
Matlab
77 lines
2.5 KiB
Matlab
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,...
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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)
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%程序功能：连续化处理过程，求解修正方程
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%编写时间：2010年10月
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%% 求解方程，求出各变量的修正量
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dX=-HSB\const;
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dx=dX(1:xNum,1);
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dy=dX(xNum+1:xNum+m,1);
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dl=dgxT*dx+Lz;
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du=-dgxT*dx-Lw;
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Ll=(l.*z-mu*ones(r,1));
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Lu=(u.*w+mu*ones(r,1));
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diagZ=sparse(1:r,1:r,z,r,r);
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diagW=sparse(1:r,1:r,w,r,r);
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dz=-LZ*dgxT*dx-L1*(diagZ*Lz+Ll);
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dw=UW*dgxT*dx+U1*(diagW*Lw-Lu);
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%求最大步长
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minusdz=find(dz<0);
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dzmin=min(-z(minusdz)./dz(minusdz));
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minusdl=find(dl<0);
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dlmin=min(-l(minusdl)./dl(minusdl));
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minusdw=find(dw>0);
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dwmin=min(-w(minusdw)./dw(minusdw));
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minusdu=find(du<0);
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dumin=min(-u(minusdu)./du(minusdu));
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ap=min(dlmin,dumin);
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ad=min(dzmin,dwmin);
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stepp=0.9995*min(ap,1);
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stepd=0.9995*min(ad,1);
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%更新变量
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x=x+stepp*dx;
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l=l+stepp*dl;
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u=u+stepp*du;
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y=y+stepd*dy;
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z=z+stepd*dz;
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w=w+stepd*dw;
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%保留上一次计算的变比，用于修正节点导纳矩阵
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Tlast=T;
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capKlast=capK;
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%给控制变量、状态变量重新赋值
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Zt=x(1:transNum,1);
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Zb=x(transNum+pgvNum+1:transNum+pgvNum+capNum);
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tij=oneTrans;
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Bci=oneCap;
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n_zt= Zt<0;
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p_zt= Zt>=0;
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tij(n_zt)=exp(Zt(n_zt)./mut(n_zt))./(exp(Zt(n_zt)./mut(n_zt))+oneTrans(n_zt));%为了避免计算机溢出，对Zt为正为负时，分开表达式计算，两种表达式等价
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tij(p_zt)=oneTrans(p_zt)./(oneTrans(p_zt)+exp(-Zt(p_zt)./mut(p_zt)));
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n_zb= Zb<0;
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p_zb= Zb>=0;
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Bci(n_zb)=exp(Zb(n_zb)./mub(n_zb))./(exp(Zb(n_zb)./mub(n_zb))+oneCap(n_zb));
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Bci(p_zb)=oneCap(p_zb)./(oneCap(p_zb)+exp(-Zb(p_zb)./mub(p_zb)));
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T=Tn+tij.*kt0; %根据Sigmoid函数更新T和capK
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capK=capKn+Bci.*q0;
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PG(pgNode,1)=x(transNum+1:transNum+pgNum,1);
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QR(pvNode,1)=x(transNum+pgNum+1:transNum+pgNum+pvNum,1);
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e=x(transNum+pgNum+pvNum+capNum+1:transNum+pgNum+pvNum+capNum+nodeNum,1);
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f=x(transNum+pgNum+pvNum+capNum+nodeNum+1:xNum,1);
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Pg(pgNode)=PG(pgNode);
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Qg(pvNode)=QR(pvNode);
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%% 变比变化后需修正节点导纳矩阵
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transG=transG1;
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transB=transB1;
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G=G-sparse(transI,transI,(T.*T-Tlast.*Tlast).*transG,nodeNum,nodeNum)...
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+sparse(transI,transJ,transG.*(T-Tlast),nodeNum,nodeNum)...
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+sparse(transJ,transI,transG.*(T-Tlast),nodeNum,nodeNum);
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B=B-sparse(transI,transI,(T.*T-Tlast.*Tlast).*transB,nodeNum,nodeNum)...
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+sparse(transI,transJ,transB.*(T-Tlast),nodeNum,nodeNum)...
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+sparse(transJ,transI,transB.*(T-Tlast),nodeNum,nodeNum)...
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+sparse(capI,capI,(capK-capKlast).*capBi,nodeNum,nodeNum); |