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FREQUENCY RESPONSE OF AC CIRCUIT

FREQUENCY RESPONSE OF AC CIRCUIT. TRANSFER FUNCTION (TF). Frequency response can be obtained by using transfer function. DEFINITION: Transfer function, H(  ) is a ratio between output and input. TRANSFER FUNCTION. Output signal. Input signal. 4 condition of TF:. Because there is no

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FREQUENCY RESPONSE OF AC CIRCUIT

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  1. FREQUENCY RESPONSE OF AC CIRCUIT

  2. TRANSFER FUNCTION(TF) • Frequency response can be obtained by using transfer function.

  3. DEFINITION: Transfer function, H() is a ratio between output and input.

  4. TRANSFER FUNCTION Output signal Input signal

  5. 4 condition of TF: Because there is no unit, they are called GAIN

  6. KUTUB DAN SIFAR (POLES AND ZEROS) • Transfer function is written in fraction • The numerator and denominator can be existed as a polynomial

  7. The roots of numerator also known as ZEROS. Zeros exist when N()=0 • The roots of denominator also known as POLES. Poles exist when D()=0

  8. KUTUB DAN SIFAR • The symbol for pole is x • The symbol for zero is o • Complex s-plane is used to plot poles and zeros.

  9. POLES/ZEROS quadratic zero Poles/zeros at the origin real zero real pole quadratic pole

  10. LOCATION OF POLES/ZEROS • Zeros/poles at the origin: Zeros/poles that are located at 0 • Real Zeros/poles: Zeros/poles that are located at real axis (-1,-2,1,2,10,etc) • Quadratic Zeros/poles:Zeros/poles that are not located at imaginary or real axis (-1+j2, 2+j5, 3-j3, etc)

  11. EXAMPLE

  12. ZEROS • Let numerator, N()=0

  13. POLE • Let denominator, D()=0

  14. FREQUENCY RESPONSE PLOT USING SEMILOG GRAPH

  15. MAGNITUDE PLOT AND PHASE PLOT • magnitude plot • phase angle plot

  16. HOW TO DO MAGNITUDE AND PHASE PLOT • Transform the time domain circuit (t) into freq. domain circuit (ω) • Determine the TF, H(ω) • Plot the magnitude of that tf, H(ω)against ω. • Plot the phase of that tf, (º) against ω.

  17. THE CONCEPT OF TF

  18. CIRCUIT IN FREQUENCY DOMAIN

  19. OBTAINED THE TF • Input is Vi dan Output is Vo,

  20. MAGNITUDE OF TF

  21. PHASE OF TF

  22. CUT-OFF FREQUENCY

  23. THE VALUES OF MAGNITUDE AND PHASE

  24. MAGNITUDE PLOT

  25. PHASE PLOT

  26. FREQUENCYRESPONSE PLOT

  27. BODE PLOTS • Bode plots are semilog plots of magnitude (in decibels) and phase (in degrees) of a transfer functionversus frequency

  28. DECIBEL SCALE • Logarithm

  29. BODE PLOT CHARACTERISTIC FOR POLES AND ZEROS

  30. Logarithm of tf:

  31. GAIN • Gain is measured in bels

  32. Decibel (dB)

  33. TRANSFER FUNCTION

  34. GENERAL EQUATION OF TF • Before draw, make sure the general equation of tf is obtained first:

  35. EX. COMPARE

  36. BODE PLOT OF A CONSTANT,K

  37. (1) (GAIN) constant

  38. Magnitude for constant is : Phase angle for constant is: CHARACTERISTICS

  39. magnitude plot phase plot f BODE PLOT FOR CONSTANT

  40. BODE PLOT FOR ZERO AT THE ORIGIN

  41. (2) ZERO AT THE ORIGIN (jω)N

  42. Magnitude: Straight line with 20dB/dec of slope that has a value of 0 dB at =1 Phase: CHARACTERISTIC OF (jω)N

  43. MAGNITUDE PLOT

  44. PHASE PLOT

  45. BODE PLOT OF POLE AT THE ORIGIN

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