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09/04/2022

ABCD Parameters of Transmission Line

 

Generalized Constant of the transmission line is given by sending end voltage and sending end current equation

VS = AVR + BIR

IS = CVR + DIR

Where

VS = Sending end voltage

IS = Sending end current

VR = Receiving end voltage

IR = Receiving end current

A, B, C and D = Constant

ABCD-parameter-of-transmisison-line.png

The generalized constant of the transmission line is found out by

Receiving end of the transmission line open circuit, receiving end current     IR = 0

Transmission Line Parameter A

        VS = AVR

         A = VS / VR and

  • The constant A is defined as the ratio of sending end voltage to the receiving end voltage when receiving end of the line is open circuited. 
  • It is also called as reverse voltage gain. It is unitless.

Transmission Line Parameter C

        IS = CVR

        C = IS / VR

  • The constant C is defined as the ratio of sending end current to the receiving end voltage when receiving end of the line is open circuited. 
  • Its unit is 1 / ohm or mho.

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Receiving end of the transmission line is short circuited, when receiving end voltage VR = 0

Transmission Line Parameter B

         VS = BIR

         B = VS / IR

  • The constant B is defined as the ratio of sending end voltage to the receiving end current when receiving end of the transmission line is short circuited. 
  • Its unit is ohm.

Transmission Line Parameter D

         IS = DIR

         D = IS / IR

  • The constant D is defined as the ratio of sending end current to the receiving end current when receiving end of the transmission line is short circuited. 
  • It is also called as reverse current gain. It is unit less.

Summary


Transmission line parameters

How to Find out?

Formula

Unit

Better known as

A

Receiving end of transmission line is open circuited

VS / VR

Unit less

Reverse voltage gain

B

Receiving end of transmission line is short circuited

VS / IR

ohm

 

C

Receiving end of transmission line is open circuited

IS / VR

mho

 

D

Receiving end of transmission line is short circuited

IS / IR

Unit less

Reverse current gain

 

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