Two Port network
Network parameters
Z – PARAMETERS
....the input driving- point impedance with the output port open-circuited
...The reverse transfer impedance with the input port open-circuited
.....the forward transfer impedance with the output port open
.....the output driving point impedance with input port opencircuited
V1 = (Z11 –Z12)I1+ Z12 (I1 + I2)
V2 = (Z21 – Z12) I1 + (Z22 –Z12)I2 + Z12 (I1 + I2) ...........(ii)
Condition of Reciprocity and Symmetry
Reciprocal Network
Z11 = Z22
Y- PARAMETERS
.............(Because in Y11 we have short circuit condition whereas in Z11 we have open cuicuit condition) input driving point admittance
.....(reverse transfer admittance)
....(forward transfer admittance)
...(o utput driv in g po in t admittance)
Equivalent Circuit Y-parameter
I1 = (y11 + Y12) V1 – Y12 (V1-V2)
I2 = (Y23 – Y12) V1 + (Y22 + Y12)V2 – Y12 (V2–V1)
For this equivalent II–network
For reciprocal network Y12 = Y21
For sysmmetrical network Y11 = Y22
TRANSMISSION PARAMETERS (ABCD)
V1 = AV2 + B (–12)
I1 = CV2 + D (–I2)
The transmission parameters are
..(i.e. the reverse voltage ratio with the receiving end open circuited)
..(i.e. the transfer admittance with the receiving end open-circuited)
....(i.e. the transfer impedance with the receiving end short-circuited )
...(i.e. the reverse current ratio with the receiving end short circuited.)
Condition for Reciprocity
Condition for Symmetry
A=D
INVERSE TRANSMISSION PARAMETERS
V2 = A'V1 + B' (–I1)
The inverse transmission parameter can be defined as
...(forward voltage ratio with sending end open circuited)
...(transfer admittance with sending end open circuited)
....(transfer impedance with sending end short circuited)
...(forward current ratio with sending end short circuited)
Condition of Reciprocity
Condition for Symmetry
A' = D'
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1. What is a two-port network in electrical engineering? |
2. How can a two-port network be represented mathematically? |
3. What are the applications of two-port networks? |
4. How can we analyze a two-port network? |
5. What is the significance of input and output impedance in a two-port network? |
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