Inverse h-parameters and Interrelation with other parameters , Network Analysis and Techniques

1. DEPARTMENT OF ELECTRONICS & TELECOMMUNICATION ENGINEERING
Teammates of Block-1 S.Y B.Tech ENTC
1) SETB117 PATIL NIKHIL V
2) SETB118 RANE OMKAR J
3) SETB119 DESHPANDE CHAITANYA
4) SETB120 KUMBHARE HARINAKSHI
5) SETB123 WAGHMARE PRANAV P

2. Two-port networks
Contents
 Inverse hybrid parameters matrices
 Equivalent Circuit Diagram for inverse hybrid
parameters
 Conversion Table for parameters

3. Two-port networks
 Circuits can be considered by theirs terminal variables
 Voltages and currents are terminal’s variables
 Complex circuit can be analyzed more easily.
 There are many kinds of two port parameters.
Two port
network1V 2V
+
-
+
-
1I 2I
Fig. 4 A two port network

4. The inverse hybrid parameter
(g- parameter)
g-parameter is defined by
1 11 12 1
2 21 22 2
I g g V
V g g I
     
     
     
1 11 1 12 2
2 21 1 22 2
I g V g I
V g V g I
 
 
or in scalar form
g-parameter is an alternative form of hybrid representation.

5. 2
2
1
1
1 12 21 22
11 11
1 11 220
2 21 21 21
21
1 11 220
2 12 21 11
22 22
2 11 220
1 12 12 12
12
2 11 220
11 22 12 21
1
1
I
I
V
V
I y y h
g y
V z y h
V z y h
g
V z y h
V z z h
g z
I z y h
I z y h
g
I z y h
h h h h h




    

     

    

     

  where
The g parameters can found from

6. Inverse hybrid parameter model
Equivalent Circuit Diagram

7. Reciprocity condition for Inverse
Hybrid Parameter
• The condition of reciprocity for two port network with g-
parameter representation can be deduced from the
interrelationship of h and g-parameter
• The condition of reciprocity for h-parameter representation
leads to the condition of reciprocity for g-parameters
representation as
g12 = - g21

8. Symmetry condition for inverse hybrid
parameter
We know that, symmetrical condition for z-parameter is Z11=Z22
When I2 = 0,
Z11 = V1/I1…………………(1)
When I2 = 0,
g11 = I1/V1…………………..(2)
From (1) & (2),
Z11 = 1/g11
Now,
When I1 = 0,
Z22 = V2/I2
Equations for g parameter are,
I1 = g11V1+g12I2
As I1 = 0
0 = g11V1+g12I2
g11V1 = -g12I2  V1 = (-g12I2)/g11

9. We have, V2 = g21V1+g22I2
V2 = I2(-g12g21+g11g22)/g11
∆g = g11g22-g12g21
V2 = (∆g/g11)I2
V2/I2 = ∆g/g11
Z22 = ∆g/g11
As Z11=Z22
1/g11 = ∆g/g11
Hence , ∆g=1
ie g11g22-g12g21=1
This is the symmetry condition for g/inverse hybrid parameter.

10. Interrelations of inverse hybrid(g)parameters
with y, z, ABCD and h parameters .
g parameter’s general equation,
I1=g11V1+g12I2
V2=g21v1+g12v2
z parameters general equation,
V1=z11I1+Z12I2
V2=z21I1+z22I2
Y parameter’s general equation,
I1=y11v1+y12v2
I2=y21v1+y22v2

11. ABCD Parameters
 When two-ports are connected with the output port of the
first connected to the input port of the second (a cascade
connection)
 The best choice of two-port parameter is the ABCD-
parameters.

12.  For reciprocal networks AD – BC = 1
 For symmetrical networks A = D

14. h - Parameters
 When two-ports are connected in a series-parallel
configuration as shown in figure 14, the best choice of
two-port parameter is the h-parameters.

16. Interrelation between ABCD and h
parameters.
 A direct relation between ABCD and h parameters is thus
given.