Inverse h-parameters and Interrelation with other parameters

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 SETB117 PATIL NIKHIL V SETB118 RANE OMKAR J SETB119 DESHPANDE CHAITANYA SETB120 KUMBHARE HARINAKSHI SETB123 WAGHMARE PRANAV P

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

3. T wo-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. Fig. 4 A two port network

4. The inverse hybrid parameter (g- parameter) g-parameter is defined by or in scalar form g-parameter is an alternative form of hybrid representation.

5. 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 g 12 = - g 21

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, I 1 =g 11 V 1 +g 12 I 2 V 2 =g 21 v 1 +g 12 v 2 z parameters general equation, V 1 =z 11 I 1 +Z 12 I 2 V 2 =z 21 I 1 +z 22 I2 Y parameter’s general equation, I 1 =y 11 v 1 +y 12 v 2 I 2 =y 21 v 1 +y 22 v 2

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

13. 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.

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