Dear Researchers,
I want to find the eigenvalues of the impedance ratio of the grid-tied inverter. More details regarding my question are given below:
Zg= Grid Impedance;
Yo= Inverter Impedance
Lm=Zg*Yo
Eigenvalues can be deduced from the following formula:
det[Limbda*I-Lm]=0
However, Zg and Yo are the 2x2 complex transfer matrix and there will be two eigenvalues
Limbda1=Quadratic equation root1
Limbda2=Quadratic equation root1
It is difficult to find the transfer function with square root. Please help me out regarding the above mentioned problem.
Thanks in advance and waiting for your kind responses.
You can use the symbolic approach, here an example
syms s
G=[1/(s+1) 1/(s+2);1/(s+3) 1/(s+4)];
lambda=eig(G);
f1=matlabFunction(lambda(1));
f2=matlabFunction(lambda(2));
w=logspace(-1,3,500);
bode(frd(f1(1j*w),w),frd(f2(1j*w),w));
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