what is the parameter and relation between h and z parameter

Dear student, Follow these steps, while converting one set of two port network parameters into the other set of two port network parameters.

• Step 1 − Write the equations of a two port network in terms of desired parameters.
• Step 2 − Write the equations of a two port network in terms of given parameters.
• Step 3 − Re-arrange the equations of Step2 in such a way that they should be similar to the equations of Step1.
• Step 4 − By equating the similar equations of Step1 and Step3, we will get the desired parameters in terms of given parameters. We can represent these parameters in matrix form.

Here are the steps for converting h model to z model -

Step 1 − We know that, the following set of two equations of two port network regarding Z parameters.

V1=Z11*I1+Z12*I2

V2=Z21*I1+Z22*I2

Step 2 − We know that, the following set of two equations of two-port network regarding h-parameters.

V1=h11*I1+h12*V2

I2=h21*I1+h22*V2

Step 3 − We can modify the above equation as

⇒I2−h21*I1=h22*V

⇒V2=(I2−h21*I1) /h22

⇒V2=−h21*h22*I1+1/h22*I2

The above equation is in the form of V2=Z21*I1+Z22*I2

Z21=−h21/h22

Z22=1/h22

Step 4 − Substitute V2 value in first equation of step 2.

V1=h11*I1+h21{−h21/h22*I1+1/h22*I2}

⇒V1=(h11*h22−h12*h21) /h22*I1+h12*h22*I2

The above equation is in the form of V1=Z11*I1+Z12*I2. Here,

Z11=(h11*h22−h12*h21)/ h22

Z12=h12*h22

All the best

Hope this helps