Impedance, admittance and ABCD matrices

Dear, please I'm looking for a MATLAB code that can calculate the parameters of the impedance Z and admittance Y matrices.Also the parameters of the ABCD matrix as described in the following schemes and equations

[Shashi Kiran]

Hello @Afluo Raoual,

Could you please let me know which values you currently have? Specifically, do you have the measurements of and when and ?

I would appreciate any additional information you can provide to help with the calculations.

[Afluo Raoual]

Hi I need a general code that can calculate V1 and V2 for any values of Z Also for V1 and I1 for any values of A, B, C and D

Answer 1

[Sumukh]

Hi @Afluo Raoual,

The images provided are two-port networks. Kindly refer to the following external resource to understand more about impedance and admittance matrix as well as ABCD parameters of a two-port network:

https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electronics/Microwave_and_RF_Design_III_-_Networks_(Steer)/02%3A_Chapter_2/2.2%3A_Two-Port_Networks

Information on the voltage and current values of the two-port networks at open-circuit and short-circuit stages is necessary to first compute the impedance/admittance matrix values. The impedance matrix Z and admittance matrix Y are inverse to each other. One matrix can be formed from another by matrix inversion. The ABCD parameters can be obtained from either the impedance or admittance matrix values as explained in the above documentation. You can refer to the following documentation to learn more about matrix operations in MATLAB:

https://www.mathworks.com/help/matlabmobile/ug/matrix-operations.html

I hope this helps with writing the code.

[Afluo Raoual]

Thank you. I'm aware about these information, but as I mentioned, I want only the method of programming theses matrices on MATLAB

Answer 2

[Shashi Kiran]

Hi @Afluo Raoual,

To compute V1 and V2 using given Z-parameters, we can employ matrix multiplication in MATLAB.

Here is a concise code example for calculating V1​ and V2​ using the impedance matrix Z and currents I1 and I2:

% Define the impedance matrix [Z]
Z11 = 5;
Z12 = 2.5;
Z21 = 4;
Z22 = 2;
Z = [Z11, Z12; Z21, Z22];

% Define currents I1 and I2
I1 = 5;
I2 = 3;
I = [I1; I2];

% Calculate V1 and V2 using V = Z * I
V = Z * I;
V1 = V(1);
V2 = V(2);
fprintf('V1 = %.2f\n', V1);fprintf('V2 = %.2f\n', V2);

V1 = 32.50
V2 = 26.00

Similarly, you can follow the same matrix multiplication approach to calculate values when using ABCD or Y parameters.

For additional details on matrix operations and MATLAB fundamentals, please refer to:

1. Matrix operations : https://www.mathworks.com/help/matlab/math/basic-matrix-operations.html
2. MATLAB onramp : https://matlabacademy.mathworks.com/details/matlab-onramp/gettingstarted

Hope this helps.

Let me know if there is anything more I can assist you with!