## 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

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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