Hello friends, in this article we will study about Y Parameter of two port network.

Y-Parameter is also called "Short Circuit Parameter" and "Admittance Parameter".


In Y-Parameter, the input and output currents are function of input and output Voltages.
( I1 , I2 )      =        f ( V1 , V2 )


It can also be written as:
[I] = [Y]   [V]
 where [Y] represents Admittance Matrix.

In matrix form,
[I1] =    [Y11  Y12]   [V1]
[I2] =    [Y21  Y22]   [V2]

Writing it in equation,
I1 = Y11* V1 + Y12* V2 .........eq1
I2 = Y21* V1 + Y22* V2 .........eq2

Related pages.                                 
  � Z-PARAMETER OF TWO PORT NETWORK


CASE-1 SHORT CIRCUITING THE OUTPUT PORT.

If the Output port of the two port network is  short circuited then output voltage is zero, i.e. V2 = 0.

Now, equation 1 and 2 will be reduced to :
I1 = Y11* V1
I2 = Y21* V1

So, Y11 = I1 /V1    ( keeping v2 = 0 )
      Y21 = I2/ V1    ( keeping V2 = 0 )


CASE-2 SHORT CIRCUITING THE INPUT PORT.

If the Input port of the two port network is short circuited then the input voltage is zero, i.e. V1 = 0.

Now, equation 1 and 2 will be reduced to :
I1 = Y12* V2
I2 = Y22* V2

So, Y12 = I1/ V2    ( keeping V1= 0 )
       Y22 = I2/ V2  ( keeping V1 = 0 )

Y11 is called input driving point Admittance.
Y12 is called forward transfer Admittance.
Y21 is called reverse transfer Admittance
Y22 is called output driving point Admittance.


For a network to be symmetrical , Y11 = Y22
For a network to be reciprocal, Y12 = Y21

EQUIVALENT CIRCUIT OF Y-PARAMETER


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Hello friends, in this article we will study about Z Parameter of two port network.

Z-Parameter is also called "Open Circuit Parameter" and "Impedance Parameter".


In Z-Parameter, the input and output voltage are function of input and output current.
( V1 , V2 )      =        f ( I1 , I2 )

It can also be written as:
[V] = [Z]   [I]

 where Z represents Impedance Matrix.
In matrix form

[V1] =    [Z11  Z12]   [I1]
[V2] =    [Z21  Z22]   [I2]

Writing it in equation,
V1 = Z11* I1 + Z12* I2 .........eq1
V2 = Z21* I1 + Z22* I2 .........eq2


CASE-1 OPEN CIRCUITING THE OUTPUT PORT.

If the Output port of the two port network is open circuited then the output current is zero, i.e. I2 = 0.

Related pages
   � Y-PARAMETER OF TWO PORT NETWORK

OUTPUT PORT IS OPEN CIRCUITED

Now, equation 1 and 2 will be reduced to :
V1 = Z11* I1
V2 = Z21* I1

So, Z11 = V1/ I1    ( keeping I2 = 0 )
Z21 = V2/ I1  ( keeping I2 = 0 )

CASE-2 OPEN CIRCUITING THE INPUT PORT.

If the Input port of the two port network is open circuited then the input current is zero, i.e. I1 = 0.

INPUT PORT IS OPEN CIRCUITED

Now, equation 1 and 2 will be reduced to :
V1 = Z12* I2
V2 = Z22* I2

So, Z12 = V1/ I2    ( keeping I1 = 0 )
Z22 = V2/ I2  ( keeping I1 = 0 )

Z11 is called input driving point Impedance
Z12 is called forward transfer Impedance
Z21 is called reverse transfer Impedance
Z22 is called output driving point Impedance.

For a network to be symmetrical , Z11 = Z22
For a network to be reciprocal, Z12 = Z21

EQUIVALENT CIRCUIT OF Z-PARAMETER

EQUIVALENT CIRCUIT OF Z-PARAMETER Thanks for reading. Keep sharing and loving.

I=V/R

Similarly in magnetic circuit when Ohm's Law is applied:
The laws of reluctance in series and parallel are the same as those for resistance in series and parallel.

Comparison Table