Creating Bode Plot: Problem Determining Break Off Frequencies

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SUMMARY

The discussion focuses on creating a Bode plot for the transfer function G(jw) = 5/[jw(1+jw0.6)(1+jw0.1)]. The key challenge is determining the break-off frequencies, specifically for the pole at (1+jw0.6). The solution identifies three poles: one at 0 Hz, another at 1.67 Hz, and the last at 10 Hz. To find the corner frequency for the pole at (1+jw0.6), one must set the expression equal to zero and solve for jw, leading to a corner frequency at w=1.67 Hz.

PREREQUISITES
  • Understanding of transfer functions in control systems
  • Familiarity with Bode plot construction techniques
  • Knowledge of pole-zero analysis
  • Basic complex number manipulation
NEXT STEPS
  • Study the process of determining corner frequencies in transfer functions
  • Learn how to plot Bode diagrams using MATLAB or Python's Matplotlib
  • Explore the implications of pole placement on system stability
  • Investigate the effects of different types of poles on frequency response
USEFUL FOR

Control system engineers, electrical engineers, and students studying signal processing who are involved in frequency response analysis and Bode plot creation.

JohnielWhite
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I am trying to manually make a bode plot for the transfer function:

G(jw)= 5/[jw(1+jw0.6)(1+jw0.1)]

I know how to plot it but I am having a problem determining all the break off frequencies. In particular for the term pole at (1+jw0.6).

Could someone give me some insight as to how I am suppose to approach this? Thanks in advance.
 
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JohnielWhite said:
I am trying to manually make a bode plot for the transfer function:

G(jw)= 5/[jw(1+jw0.6)(1+jw0.1)]

I know how to plot it but I am having a problem determining all the break off frequencies. In particular for the term pole at (1+jw0.6).

Could someone give me some insight as to how I am suppose to approach this? Thanks in advance.

You're going to have 3 poles, one at 0 Hz, another at 1.67 Hz and the last one at 10Hz.

For the poles in form of (1+jw0.6), you simply set them equal to zero and solve for jw. The negatives are ignored.

Hopefully that clears things up.
 
Ok so i would have a corner frequency at w=1.67 for (1+jw0.6). That's what I wanted to know. Thanks for your response. Much appreciated.
 

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