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发表于 2022-1-20 13:12:56
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说明:H就是最终结果
clear all
close all
clc
syms gmn gmp gmc gdsn gdsp gdsc gmbn gmbp gmbc C1 g1 C2 g2 CL gL s YL
syms vp vn v1 v2 vx
%eqx= i 流入 节点x - i 流出 节点x
eq1= (vp-v1)*gmp+(vn-v1)*gmn+(v2)*gdsn - v1*(gmbp+gmbn+gdsp+gdsn+s*C1);
eq2= (v1)*gdsn+(0-v2)*(gmc+gmbc)+(vx)*(gdsc) - ((0-v1)*(gmbn)+(vn-v1)*gmn+v2*(g2+gdsc+gdsn+s*C2));
eq3= (v2)*gdsc - ((0-v2)*(gmc+gmbc)+vx*(s*CL+gL+gdsc));
S=Solve(eq1,eq2,eq3,v1,v2,vx)
tmp=subs(S.vx,{C1,C2,g2,gL,gdsn,gdsp,gmbn,gmbp,gmbc,gmn},{0,0,0,gL,0,0,0,0,0,gmp});
H=simplify(tmp)
pretty(H)
%单独计算vp到输出
YL=gL+s*CL
Y2=(gmc+gmbc+gdsc)/(gdsc+YL)*YL;
Y1=(gmn+gmbn+gdsn)/(gdsn+Y2)*Y2;
Hp=gmp/(gmp+gmbp+gdsp+Y1)*(gmn+gmbn+gdsn)/(gdsn+Y2)*(gmc+gmbc+gdsc)/(gdsc+YL);
Hps=subs(Hp,{C1,C2,g2,gL,gdsn,gdsp,gmbn,gmbp,gmbc,gmn},{0,0,0,gL,0,0,0,0,0,gmp})
Hps=simplify(Hps)
pretty(Hps)
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