Two-Port Networks I. Dr. Mohamed Refky Amin

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1 Two-Port Networks I Amin Electronics and Electrical Communications Engineering Department (EECE) Cairo University elc.n112.eng@gmail.com

2 OUTLINE Introduction The Impedance (Z) Parameters The Admittance (Y) Parameters The Hybrid (H) Parameters The Transmission (A) Parameters 2

3 Introduction Definitions Port: A pair of terminals through which a current may enter or leave a network. Two-terminal devices or elements (such as resistors, capacitors, and inductors) result in one-port networks. The current entering one terminal leaves through the other terminal so that the net current entering the port equals zero. 3

4 Introduction Definitions Two-port networks: (a four-terminal network) is an electrical network with two separate ports for input and output. 4

5 Two-port networks Introduction We assume that the two-port circuits contain no independent sources. 5

6 Two-port networks Introduction The various terms that relate these voltages and currents are called parameters. 6

7 Two-port networks Types of network parameters: Z-Parameters (Impedance Parameters) Y-Parameters (Admittance Parameters) H-Parameters (Hybrid Parameters) A-Parameters (Transmission Parameters) 7

8 Z-Parameters Two-port networks 8

9 Z-Parameters Two-port networks Open-circuit input impedance Open-circuit transfer impedance from port 2 to port 1 9

10 Z-Parameters Two-port networks Open-circuit transfer impedance from port 1 to port 2 Open-circuit output impedance 10

11 Example (1) Two-port networks Compute the Z-parameters for the shown circuit 11

12 Two-port networks Z-Parameters - Equivalent Circuit Model with two dependent voltage sources 12

13 Two-port networks Z-Parameters - Equivalent Circuit 13

14 Two-port networks Z-Parameters - Equivalent Circuit Model with one dependent voltage source 14

15 Two-port networks Z-Parameters - Equivalent Circuit Model with one dependent voltage source 15

16 Two-port networks Z-Parameters - Network Properties 16

17 Two-port networks Z-Parameters - Network Properties 17

18 Two-port networks Z-Parameters - Network Properties 18

19 Y-Parameters Two-port networks 19

20 Y-Parameters Two-port networks Short-circuit input admittance Short-circuit transfer admittance from port 2 to port 1 20

21 Y-Parameters Two-port networks Short-circuit transfer admittance from port 1 to port 2 Short-circuit output admittance 21

22 Two-port networks Z-Parameters and Y-Parameters From the Z-Parameters From the Y-Parameters 22

23 Example (2) Two-port networks Compute the Y-parameters for the shown circuit 23

24 Two-port networks Y-Parameters - Equivalent Circuit Model with two dependent current sources 24

25 Two-port networks Y-Parameters - Equivalent Circuit Model with one dependent current source 25

26 Two-port networks Y-Parameters - Equivalent Circuit Model with one dependent current source 26

27 Two-port networks Y-Parameters - Network Properties 27

28 H-Parameters Two-port networks 28

29 H-Parameters Two-port networks Short-circuit input impedance Short-circuit forward current gain 29

30 H-Parameters Two-port networks Open-circuit reverse voltage gain Open-circuit output admittance 30

31 Two-port networks H-Parameters - Equivalent Circuit Model with two dependent sources 31

32 Two-port networks H-Parameters - Network Properties 32

33 A-Parameters Two-port networks 33

34 A-Parameters Two-port networks Open-circuit voltage ratio Open-circuit transfer admittance 34

35 A-Parameters Two-port networks Negative short-circuit transfer impedance Negative short-circuit current ratio 35

36 Two-port networks A-Parameters - Network Properties 36

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