Bode_plot_guide

Bode_plot_guide - BODE PLOT - S-PLANE REVIEW N O N IN V E R...

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BODE PLOT: LET s = j ω MAGNITUDE PHASE BODE PLOT - S-PLANE REVIEW + K TERM IN H(s) S-PLANE σ j ω ω |H| [dB] ω H [deg] + K = K K = tan " 1 0/ K ( ) = 0 NONINVERTING DC GAIN (NOT VISIBLE IN S-PLANE) 20log K ( ) " K σ j ω ω |H| [dB] ω H [deg] -180° " K = K " K = tan " 1 0/ " K ( ) = " 180 INVERTING DC GAIN (NOT VISIBLE IN S-PLANE) 20log K ( )
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BODE PLOT: LET s = j ω MAGNITUDE PHASE 1 + s " ZL TERM IN H(s) S-PLANE σ j ω " 1 # ZL ω |H| [dB] ω H [deg] +90° +45° +20dB/dec 1 + j "# ZL = 1 2 + ZL ( ) 2 1 + j ZL = tan $ 1 ZL ( ) 1 ZL s ZO σ j ω ω ω +20dB/dec 0 + j ZO = ZO 0 + j ZL = tan $ 1 ZL 0 % ( ) * = + 90 o 1 ZO 1 " s ZR σ j ω 1 ZR ω ω +20dB/dec 1 " j #$ ZR = 1 2 + ZR ( ) 2 1 " j ZR = tan " 1 " ZR ( ) 1 ZR |H| [dB] H [deg] +90° |H| [dB] H [deg] -45° -90° LHP ZERO RHP ZERO ZERO AT ORIGIN (DERIVATIVE)
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BODE PLOT: LET s = j ω MAGNITUDE PHASE 1 1 + s " PL TERM IN H(s) S-PLANE σ j ω " 1 # PL ω |H| [dB] ω H [deg] +90° +45° -20dB/dec 1 1 + j "# PL = 1 1 2 + PL ( ) 2 1 PL 1 s PO σ j ω ω 1 0 + j PO ( ) = $ tan $ 1 PO 0 ( ) = $ 90 o 1 1 " s PR σ j ω 1 PR ω 1/ 1 + j PL
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This note was uploaded on 10/13/2009 for the course ECE 4902 taught by Professor Mcneill during the Spring '01 term at WPI.

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Bode_plot_guide - BODE PLOT - S-PLANE REVIEW N O N IN V E R...

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