Application of Polar Plot

Following are some of the application of Polar Plot :-

  • Used in Nyquist stability criteria
  • Used to find Gain and Phase Margin
  • Used to find Resonance Frequency
  • Used to find Frequency Response of System

Control Systems – Polar Plots

Unlike the Bode plot in which both magnitude and phase angle are plotted separately in logarithmic graph paper. In Polar plot both magnitude and phase are plotted in the same plot in the Polar graph sheet. In the following article, we will discuss what is polar plot, Steps to draw polar plot, Polar plot of some standard Functions, and how to check the Stability of the system with a solved Example.

Table of Content

  • What is a Polar Plot?
  • Steps To draw Polar Plots
  • Polar Plot of Some Standard Transfer Function
  • To Check the Stability of System from Polar Plot
  • Solved Example of Polar Plot
  • Advantages and Disadvantage of Polar Plots
  • Application of Polar Plot

Similar Reads

What is a Polar Plot?

Polar Graph Sheet...

Steps To draw Polar Plots

Following are the steps to construct a polar plot of given transfer function G(s)H(s) –...

Polar Plot of Some Standard Transfer Function

Following are the polar plot of some common standard function...

To Check the Stability of System from Polar Plot

To check the stability of system from Polar Plot we first need to determine Gain Margin (GM) ,Phase Margin (PM) , Gain Crossover Frequency (ωGC) and Phase Cross over Frequency (ωPC) of system ....

Effects of adding Poles and zeroes in Polar Plots

Following are the effects of adding zeroes and poles :-...

Solved Example of Polar Plot

ques :- Sketch the polar plot of G(s)H(s) = 1/s(1+s)...

Advantages and Disadvantage of Polar Plots

Following are some of the advantage and disadvantage of Polar Plots :-...

Application of Polar Plot

Following are some of the application of Polar Plot :-...

Conclusion

Polar Plot helps to understand behaviour of system and helps to analyze how system reacts in different frequency . It helps to find the stability of system . Through Polar plot we are able to easily find out the gain and phase margin of the system and the gain cross over and phase cross over frequency . we can also keep an eye on the performance of system through polar plot and also able to find out what should be done to make system stable and unstable ....

FAQs on Polar Plots

Q1. What is the condition of stability for locus in Polar Plot ?...