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TWO-PORT NETWORK

TWO-PORT NETWORK. TKT 419/3 Sem 1 Sidang Akademik 2010/2011 Lecturer: Pn. Wan Nur Suryani Firuz Bt Wan Ariffin (012-4820815). TWO-PORT NETWORK. Terminal equations Two-port parameters Relationships among two-port parameters Analysis of terminated two-port circuit

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TWO-PORT NETWORK

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  1. TWO-PORT NETWORK TKT 419/3 Sem 1 Sidang Akademik 2010/2011 Lecturer: Pn. Wan Nur Suryani Firuz Bt Wan Ariffin (012-4820815)

  2. TWO-PORT NETWORK • Terminal equations • Two-port parameters • Relationships among two-port parameters • Analysis of terminated two-port circuit • Interconnected two-port circuits

  3. TERMINAL EQUATIONS s-domain two-port basic building block

  4. Terminal equations relationships • 1st Relationship:

  5. 2nd Relationship:

  6. 3rd Relationship:

  7. 4th Relationship:

  8. 5th Relationship:

  9. 6th Relationship:

  10. TWO PORT NETWORK: • Terminal equations • Two-port parameters • Relationships between parameters • Analysis of terminated two-port circuit • Interconnected two-port circuits

  11. IMPEDANCE PARAMETERS • z parameters

  12. ADMITTANCE PARAMETERSy parameters

  13. a parameters

  14. b parameters a and b parameters are called transmission parameters

  15. HYBRID PARAMETERSh parameters

  16. INVERSE HYBRID PARAMETERSg parameters

  17. Example 1 • Find z parameter for the below circuit:

  18. Solutions: • When port 2 open-circuit, I2=0 so,

  19. When I2=0, thus V2

  20. Now, when I1=0,so

  21. When port 1 open-circuit, I1=0, so:

  22. TWO-PORT NETWORK • Terminal equations • Two-port parameters • Relationships between parameters • Analysis of terminated two-port circuit • Interconnected two-port circuits

  23. RELATIONSHIPS BETWEEN PARAMETERS

  24. Compare these two above equations:

  25. Find z parameters as functions of a parameters

  26. Therefore,

  27. RECIPROCAL TWO-PORT CIRCUITS • If a two-port circuit is reciprocal, the following relationships exist among port parameters:

  28. Symmetric of a reciprocal two-port circuits • Following relationships exist among port parameters:

  29. Example of symmetric two-port circuits Symmetric tee

  30. Symmetric pi

  31. Symmetric bridge tee

  32. Symmetric lattice

  33. TWO-PORT NETWORK • Terminal equations • Two-port parameters • Relationships between parameters • Analysis of terminated two-port circuit • Interconnected two-port circuits

  34. ANALYSIS OF TERMINATED TWO-PORT CIRCUITS

  35. 6 characteristics of terminated two-port circuit • Input impedance (Zin=V1/I1) or admittance (Yin=I1/V1) • Output current, I2 • Thevenin voltage and impedance (ZTh, VTh) with respect to port 2 • Current gain I2/I1 • Voltage gain V2/V1 • Voltage gain V2/Vg

  36. 6 characteristics in term of z parameters • 4 parameter equations that describe the circuit:

  37. 1st characteristic (input impedance)

  38. 2nd characteristic (output current, I2)

  39. 3rd characteristic (Thevenin voltage @ impedance)

  40. Impedance Thevenin

  41. 4th characteristic (current gain)

  42. 5th characteristic (voltage gain V2/V1)

  43. 6th characteristic (voltage gain V2/Vg)

  44. TWO-PORT NETWORK • Terminal equations • Two-port parameters • Relationships between parameters • Analysis of terminated two-port circuit • Interconnected two-port circuits

  45. INTERCONNECTED TWO-PORT CIRCUITS

  46. Cascade connection

  47. Two-port parameters

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