How to graph a bode plot with a quadratic pole?

Discussion in 'Homework Help' started by TripleDeuce, Feb 6, 2011.

  1. TripleDeuce

    Thread Starter New Member

    Sep 20, 2010
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    How do I graph this transfer function?

    H(ω) = j40ω(1+jω/10) / [1-(ω/50)^2+jω/125]

    I can graph the numerator part, but how do I graph the magnitude and phase angle plots of the denominator?
     
  2. hgmjr

    Moderator

    Jan 28, 2005
    9,030
    214
    First you must factor the denominator into the two disctinct poles?

    hgmjr
     
  3. Georacer

    Moderator

    Nov 25, 2009
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  4. The Electrician

    AAC Fanatic!

    Oct 9, 2007
    2,281
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    You haven't said that you must graph it by hand. If that's not the case, then plotting a transfer function is simple, what with all the software available today.

    If you are required to plot it by hand, then you should say so. If that is the case then you must find the roots of the denominator; they are the poles of the transfer function.

    Attached is a plot done with typical mathematical software.

    The first plot shows the magnitude of the numerator, denominator and overall transfer function.

    The second plot shows the phase of the overall transfer function.
     
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