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TWO-PORT NETWORK

Chapter One. TWO-PORT NETWORK. TKT 419/3 Semester 2 Academic 2011/2012 Lecturer: Dr.Hilal Adnan (hilaladnan@unimap.edu.my). Coursework Contribution. COURSE IMPLEMENTATIONS Lecture : 3 hours per week for 14 weeks (Total = 42 hours).

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TWO-PORT NETWORK

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  1. Chapter One TWO-PORT NETWORK TKT 419/3 Semester 2 Academic 2011/2012 Lecturer: Dr.Hilal Adnan (hilaladnan@unimap.edu.my)

  2. Coursework Contribution • COURSE IMPLEMENTATIONS • Lecture : 3 hours per week for 14 weeks (Total = 42 hours) • 2. Lecturer: Dr. Hilal A. Fadhil; and Prof. Dr. Syed A. Aljunid • Office: 1st Floor, House #8A, KKF 34, K.wei- Kuala Perlis • E-mail: hilaladnan@unimap.edu.my, Office tel#: 04-9852639. 3. COURSE OUTLINE: Chapter 1 : Two-Port Circuits Chapter 2 : Introduction to Laplace Transform Chapter 3:Frequency Response in AC Circuit Chapter 4: Fourier Series Chapter 5:Fourier Transform 4. TEXT BOOK: Electric Circuits, 9th Edition, by Nilsson/ Riedel

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

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

  5. Terminal equations relationships • 1st Relationship:

  6. 2nd Relationship:

  7. 3rd Relationship:

  8. 4th Relationship:

  9. 5th Relationship:

  10. 6th Relationship:

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

  12. IMPEDANCE PARAMETERS • z parameters

  13. ADMITTANCE PARAMETERSy parameters

  14. a parameters

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

  16. HYBRID PARAMETERSh parameters

  17. INVERSE HYBRID PARAMETERSg parameters

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

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

  20. When I2=0, thus V2

  21. Now, when I1=0,so

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

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

  24. RELATIONSHIPS BETWEEN PARAMETERS

  25. Compare these two above equations:

  26. Find z parameters as functions of a parameters

  27. Therefore,

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

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

  30. Example of symmetric two-port circuits Symmetric tee

  31. Symmetric pi

  32. Symmetric bridge tee

  33. Symmetric lattice

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

  35. ANALYSIS OF TERMINATED TWO-PORT CIRCUITS

  36. 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

  37. 6 characteristics in term of z parameters • 4 parameter equations that describe the circuit: …1 …2 …3 …4

  38. 1st characteristic (input impedance) In Eq(2) we replace V2 with –I2ZL and solve for I2 …..(5) Then substitute this Eq into eq(1), Zin=V1/I1

  39. 2nd characteristic (output current, I2) We solve Eq.(1) for I1 after replacing V1 with the right-hand side of Eq.(3) the result is : Then using Eq(5)

  40. 3rd characteristic (Thevenin voltage @ impedance) But V1=Vg-I1Zg , and then I1= Vg/(Zg+Z11)

  41. Impedance Thevenin WHEN Vg is replacing by a short circuit (Vg=0), Eq(3) reduces to: V1=-I1 Zg Substituting the above eq into Eq(1) gives: ……(6) Now use Eq(6) to replace Eq(2) with the result that:

  42. 4th characteristic (current gain) From equation (5), the current gain is given by:

  43. 5th characteristic (voltage gain V2/V1) By replacing I2 in Eq.(2) with its value from Eq.(4); thus: …..7 …..8

  44. We now replace I1 in Eq.(7) with Eq.(8) and solve the resulting expression for V2/V1:

  45. 6th characteristic (voltage gain V2/Vg) To derive the voltage ratio V2/Vg, we first combine Eqs(1) (3)(4) to find I1 as a function of V2 and Vg : ….(9) We now use Eq.(9) and Eq(4) in conjunction with Eq.(2) to derive an expression involving only V2 and Vg; that is:

  46. Finally, we can manipulate to get the desired voltage ratio:

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

  48. INTERCONNECTED TWO-PORT CIRCUITS

  49. Cascade connection

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