Important Formulas : ABCD Parameters of Transmission Line

ABCD Parameters of Transmission Lines

Important formula of ABCD ( Two Port ) Network of Transmission Line for short transmission line, medium transmission line, long transmission line, parallel network and series network is given here.

ABCD Parameters: Short Transmission Line

A = 1

B = Z

C = 0 and

D = 1

ABCD Parameters: Medium Transmission Line -  Nominal T Method

A = ( 1 + YZ/2 )  

B = Z( 1 + YZ/4 )

C = Y and

D = 1 + YZ/2

ABCD Parameters: Medium Transmission Line - Nominal π Method

A = ( 1 + YZ/2 )  

B = Z

C =  Y ( 1 + YZ/4 ) and

D = 1 + ( YZ / 2 )  

ABCD Parameters: Long Transmission Line

A = Cos h √ YZ

B = Z_C Sin h √ YZ

C = Sin h √ YZ / Z_C

D = Cos h √ YZ

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ABCD Parameters: Parallel network

A = {A1B2 + A2B1 / B1 + B2 }

B = ( B1B2 / B1 + B2 )

C = { ( C1 + C2 ) – ( D1 – D2 )( A1 – A2 ) / ( B1 + B2 ) }

D = { B1D2 + B2D1 / ( B1 + B2 )}

ABCD Parameters: Series network

A = A1A2 + B1C2

B = A1B2 + B1D2

C = A2C1 + C2D1

D = B2C1 + D1D2