# Regarding with two port electrical network

1. Oct 2, 2011

### namal

my problems comes from one of a book how to solve this one this is regarding with two port electrical network

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2. Oct 2, 2011

### yungman

For Z parameter

$$\left(\begin{array}{c}V_1\\V_2\end{array}\right)\;=\;\left(\begin{array}{cc}Z_{11} & Z_{12}\\Z_{21} & Z_{22}\end{array}\right)\;\left(\begin{array}{c}I_1\\I_2\end{array}\right)$$

$$V_1=Z_{11}I_1+Z_{12}I_2$$

$$V_2=Z_{21}I_1+Z_{22}I_2$$

$$Z_{11}=\left(\frac{V_1}{I_1}\right)_{I_2=0}\;\;,\;\;Z_{12}=\left(\frac{V_1}{I_2}\right)_{I_1=0} \;\;,\;\;Z_{21}=\left(\frac{V_2}{I_1}\right)_{I_2=0}\;\;,\;\;Z_{22}=\left(\frac{V_2}{I_2}\right)_{I_1=0}$$

For I=0 means open circuit.

For Y parameter just (I)=(Y)(V) and make one of the V=0 which is short circuit.

For transformer it is reciprocal circuit so Z12=Z21 and Y12=Y21.

I have not work out the detail, just use this on the transformer and it should work.

Last edited: Oct 2, 2011
3. Oct 2, 2011