Q4(а)The Nyquist stability criterion can be used to determine the stability of a closed-loop feedback system, based on the frequency response of the open-loopsystem.In your own words, state the Nyquist stability criterion for a systemwhich is open-loop stable.(i)(ii)Sketch a typical Nyquist plot and indicated the gain and phase margins.(iii)Describe how these stability margins can be determined from a Bodediagram.(b)Consider the plant10P(s) =(s + 1)(s + 10)and the controllerC(s) = 10Derive an expression for the frequency response G,(jw) for the openloop system G, (s) = C(s)P(s). What is the steady state open-loop gainof Go in dB?(i)Sketch the approximate Bode diagram for this system, clearly showingthe asymptotes and corner frequencies.(ii)(iii)Indicate the stability margins. What additional gain could be added tothe system before it would become unstable?100(c)Consider now a modified controller C(s) =s+1together with the plant P(s)from (b).(i)Sketch the Bode diagram of the modified system and explain how it haschanged from the Bode plot in (b).(ii)Comment on changes of the stability margins. What is the additionalgain which could now be added to the system before it would becomeunstable?

Control systems are represented by transfer function. This can be written in both time domain and…

Q4 The Nyquist stability criterion can be used to determine the stability of a closed- loop feedback system, based on the frequency response of the open-loop (a) system. In your own words, state the Nyquist stability criterion for a system which is open-loop stable. (i) (ii) Sketch a typical Nyquist plot and indicated the gain and phase margins. (iii) Describe how these stability margins can be determined from a Bode diagram.

Q4 The Nyquist stability criterion can be used to determine the stability of a closed- loop feedback system, based on the frequency response of the open-loop (a) system. In your own words, state the Nyquist stability criterion for a system which is open-loop stable. (i) (ii) Sketch a typical Nyquist plot and indicated the gain and phase margins. (iii) Describe how these stability margins can be determined from a Bode diagram.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter12: Power System Controls

Section: Chapter Questions

Problem 12.3P

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