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How to solve a linear system with component varying?

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Jucimar Carpe
Jucimar Carpe am 21 Jul. 2018
Kommentiert: Jucimar Carpe am 22 Jul. 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!

Akzeptierte Antwort

Aquatris
Aquatris am 22 Jul. 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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