Featured post

What Is Fluid and Its Properties?

Science helps to understand things in a better way. We know about fluid but science helps to understand different aspects of it in a better ...

22/04/2022

Two Port Networks are in Tandem or Series

Tandem ( Series ) Connection of Two Port Network

Two networks are connected in series such that output of one network is connected to input of another network, such type of connection is called as Tandem connection of two port network. It is considered that network 1 is connected to network 2 in tandem.


two-port-networks-are-in-tandem-or-series.png

Let

A1, B1, C1 and D1 – Constant of network 1

A2, B2, C2 and D2 – Constant of network 2

Network 1

VS = A1V’ + B1I’……. ( 1 )

IS = C1 V’ + D1 I’……..( 2 )

Where

VS = Sending end voltage

IS = Sending end current

V’ = Receiving end voltage of network 1

I’ = Receiving end voltage of network 1

Network 2

V’= A2VR + B2IR……. ( 3 )

 I’ = C2VR + D2 IR……..( 4 )

Where

V’ = Sending end voltage

I’ = Sending end current

VR = Receiving end voltage of network 2

IR = Receiving end voltage of network 2

Substitute equation ( 3 ) and ( 4 ) into equation ( 1 ) and ( 2 )

VS = A1 ( A2VR + B2IR ) + B1 ( C2VR + D2 IR )……. ( 5 )

VS = A1A2 VR + A1 B2IR + B1 C2VR + B1D2 IR

 VS  = ( A1A2 + B1 C2 )VR + ( A1 B2 + B1D2 )IR ….. ( 6 )

Compare equation ( 6 ) with Vs = AVR + BIR

A = A1A2 + B1 C2

B = A1 B2 + B1D2

IS = C1 ( A2VR + B2IR ) + D1 ( C2VR + D2 IR )

IS = C1 A2VR + C1B2IR + D1 C2VR + D1D2 IR

IS = ( C1 A2 + D1 C2 ) VR + ( C1B2 + D1D2 ) IR…….( 7 )

Compare equation ( 7 ) with Is = CVR + DIR

C = C1 A2 + D1 C2 and

D = C1B2 + D1D2

You may also like to read these articles :

What is blue hydrogen?

What is green hydrogen?

Microphone transformer

India’s Renewable Energy Generation

Types of Resolver

 

Summary, constant of two port networks when they are connected in series or tandem.

A = A1A2 + B1 C2

B = A1 B2 + B1D2

C = C1 A2 + D1 C2 and

D = C1B2 + D1D2


No comments:

Post a Comment