How to solve a linear system with component varying?

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Jucimar Carpe
Jucimar Carpe el 21 de Jul. de 2018
Comentada: Jucimar Carpe el 22 de Jul. de 2018
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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Aquatris
Aquatris el 22 de Jul. de 2018
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)

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