FREQUENCY RESPONSE POLAR PLOT
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The document discusses frequency response and polar plots. It defines frequency response as the quantitative measure of the output magnitude and phase as a function of input frequency. It then provides the transfer function for a second order system and shows how to obtain the magnitude and angle of the frequency response by substituting s=jw. It defines a polar plot as a graphical representation of frequency response where the tip of a phasor traces a curve as w changes from 0 to infinity, representing the magnitude and angle changes. An example problem demonstrates drawing the polar plot for a given transfer function.
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FREQUENCY RESPONSE POLAR PLOT
- 1. Green University of Bangladesh Mohammad Kamrozzaman Kiron Department: E.E.E ID: 162001005
- 2. Topic Frequency Response : Pole Plot
- 4. Frequency Response: Frequency response is the quantitative measure of magnitude and phase of the output as a function of frequency in comparison to the input. G(S)
- 5. Consider a second order system with transfer function: Steady state sinusoidal response is obtained by substituting S=jw Now,
- 6. The magnitude and angle of frequency response obtained as :
- 7. Polar Plot: One of the graphical representation of frequency response is polar plot. say a function G(jw) is given. This function changes its angle and magnitude based on frequency. As w changes form ZERO to INFINITY the tip of this phasore trace a curve which is known as the polar plot of the given function. Process: • G(s) G(jw) • Find magnitude and angle. • Change the value of w from 0 ∞ • Finally draw the curve.
- 8. Example: A function is given Solution: