How to solve a linear system with component varying?

Question

Jucimar Carpe 2018-7-21

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https://ww2.mathworks.cn/matlabcentral/answers/411468-how-to-solve-a-linear-system-with-component-varying

评论： Jucimar Carpe 2018-7-22

Hi all,

I have a 2x2 linear system where the 2x2 position has a imaginary number+variable. The the value from this variable "R" comes from another equation given by R=1.5*((1-S)./S) and S=-2:0.01:2. The system should look like this:

After that, i'll run another equation P=3*1.5*((1-S)./S)*abs(I2). I want to take the values from I2 to plot a graph by doing, plot(S,P).

Can someone help me how to solve this linear system? I've trying hard but no success.

Thans in advance!

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Answer 1

Aquatris 2018-7-22

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https://ww2.mathworks.cn/matlabcentral/answers/411468-how-to-solve-a-linear-system-with-component-varying#answer_329779

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Here is one way to do it;

index = 0;
S = -2:0.01:2;
for i = 1:length(S)
      index = index+1;
      s_val = S(i);
      R = 1.5*(1-s_val)/s_val;
      y = [380/sqrt(3); 0];
      A = [.45+.8i+25i -25i;-25i 1.5+1.5i+25i+R];
      x = A\y;
      I1(index) = x(1);
      I2(index) = x(2);
      P(index) = 3*1.5*((1-s_val)/s_val)*abs(I2(index));
end
plot(S,P)