Solving 5 equations (time domain)

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Ali Moosazadeh 2024-7-13

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https://ww2.mathworks.cn/matlabcentral/answers/2137098-solving-5-equations-time-domain

关闭： John D'Errico 2024-7-13

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Can some body write a code to solve these equations ? These are kcl equations in a circuits . F1(n)=Cg*((Vi(n)-Vi(n-1))/ts)-Cg*((Vg(n)-Vg(n-1))/ts)+(1/R1)*(Vi(n)-Vs(n)); F2(n)=(Cg)*((Vg(n)+Vg(n-2)-2*Vg(n-1))/ts^2)-Cg*((Vi(n)+Vi(n-2)-2*Vi(n-1))/ts^2)+(1/Lg)*(Vg(n)-Vgg)+(1/L1)*(Vg(n)-Vgs(n)); F3(n)=(Cgs(n)+C1)*((Vgs(n)+Vgs(n-2)-2*Vgs(n-1))/ts^2)+(1/L1)*(Vgs(n)-Vg(n))+((Cgs(n)-Cgs(n-1))/ts)*((Vgs(n)-Vgs(n-1))/ts); F4(n)=(1/Ld)*(Vds(n)-Vdd)+(Cd)*((Vds(n)+Vds(n-2)-2*Vds(n-1))/ts^2)-(Cd)*((Vo(n)+Vo(n-2)-2*Vo(n-1))/ts^2)+((Ids(n)-Ids(n-1))/ts); F5(n)=Cd*((Vo(n)-Vo(n-1))/(ts))+(Vds(n)-Vds(n-1))/ts;

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Star Strider 2024-7-13

It would likely be best to use the Symbolic Math Toolbox for this. You can then use the matlabFunction function to create a numeric function from the symbolic result.

Walter Roberson 2024-7-13

在 MATLAB Online 中打开

(reposting just the equations)

F1(n)=Cg*((Vi(n)-Vi(n-1))/ts)-Cg*((Vg(n)-Vg(n-1))/ts)+(1/R1)*(Vi(n)-Vs(n));
F2(n)=(Cg)*((Vg(n)+Vg(n-2)-2*Vg(n-1))/ts^2)-Cg*((Vi(n)+Vi(n-2)-2*Vi(n-1))/ts^2)+(1/Lg)*(Vg(n)-Vgg)+(1/L1)*(Vg(n)-Vgs(n));
F3(n)=(Cgs(n)+C1)*((Vgs(n)+Vgs(n-2)-2*Vgs(n-1))/ts^2)+(1/L1)*(Vgs(n)-Vg(n))+((Cgs(n)-Cgs(n-1))/ts)*((Vgs(n)-Vgs(n-1))/ts);
F4(n)=(1/Ld)*(Vds(n)-Vdd)+(Cd)*((Vds(n)+Vds(n-2)-2*Vds(n-1))/ts^2)-(Cd)*((Vo(n)+Vo(n-2)-2*Vo(n-1))/ts^2)+((Ids(n)-Ids(n-1))/ts);
F5(n)=Cd*((Vo(n)-Vo(n-1))/(ts))+(Vds(n)-Vds(n-1))/ts; 