BodeRules

BodeRules - Rules for Making Bode Plots Term Constant: K...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
© Copyright 2005-2009 Erik Cheever This page may be freely used for educational purposes. Comments? Questions? Suggestions? Corrections? Erik Cheever Department of Engineering Swarthmore College Rules for Making Bode Plots Term Magnitude Phase Constant: K 20·log 10 (|K|) K>0: K<0: ±180° Real Pole: 0 1 s 1 + ω Low freq. asymptote at 0 dB High freq. asymptote at -20 dB/dec Connect asymptotic lines at ω 0 , Low freq. asymptote at 0 °. High freq. asymptote at -90 °. Connect with straight line from 0.1· ω 0 to 10· ω 0 . Real Zero * : 0 s 1 + ω Low freq. asymptote at 0 dB High freq. asymptote at +20 dB/dec. Connect asymptotic lines at ω 0 . Low freq. asymptote at 0 °. High freq. asymptote at +90 ° . Connect with line from 0.1· ω 0 to 10· ω 0 . Pole at Origin: 1 s -20 dB/dec; through 0 dB at ω =1. -90° for all ω . Zero at Origin * : s +20 dB/dec; through 0 dB at ω =1. +90° for all ω . Underdamped Poles: 2 00 1 ss 21 ⎛⎞ + ζ + ⎜⎟ ωω ⎝⎠ Low freq. asymptote at 0 dB. High freq. asymptote at -40 dB/dec. Connect asymptotic lines at ω 0 . Draw peak at freq. 2 r0 12 ω =ω − ζ with amplitude ( ) 2 r1 0 H(j ) 20 log 2 1 ω= − ⋅ ζ − ζ Low freq. asymptote at 0 °. High freq. asymptote at -180 °. Connect with straight line from 10 10 2 log 2 to 2 2 log ζ ω=ω ζ Underdamped Zeros * : 2 + ζ + Draw low freq. asymptote at 0 dB. Draw high freq. asymptote at +40 dB/dec.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/02/2011 for the course MAE 107 taught by Professor Tsao during the Spring '06 term at UCLA.

Page1 / 4

BodeRules - Rules for Making Bode Plots Term Constant: K...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online