Given a unity feedback system withG(s) =A proportional controller Kp is inserted before G.Find the roots of the characteristic equation that would yield a damping ratio of 0.5 for the closed-loop system.Roots =±j12s(s+5)What is the value of Kp that would yield these roots?Answer:What is the percent overshoot at this damping ratio?Answer:Increasing the gain (beyond the answer you got in the previous item) will increase the % overshoot.Select one:O TrueFalseThere are values of K that would reduce the settling time to 1.25 seconds or less.(Use settling time T, = 5 time constants in your computations for this and the succeeding problems).Select one:O TrueFalseAdding a PD controller (instead of a P controller) can reduce the settling time to less than 1 second. Which of thefollowing locations for the controller zero will achieve this?-8-1The transfer function of the PD controller isGc(s) = Kd(s − 2)where z is the zero in your answer above.What is the smallest value of K that would yield a settling time of less than 1 second? Give at least 3 digits after thedecimal point.Answer:

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Given a unity feedback system with G(s) = 12 s(8+5)* A proportional controller Kp is inserted before G. Find the roots of the characteristic equation that would yield a damping ratio of 0.5 for the closed-loop system. Roots = What is the value of Kp that would yield these roots? Answer: tj What is the percent overshoot at this damping ratio? Answer:

Given a unity feedback system with G(s) = 12 s(8+5)* A proportional controller Kp is inserted before G. Find the roots of the characteristic equation that would yield a damping ratio of 0.5 for the closed-loop system. Roots = What is the value of Kp that would yield these roots? Answer: tj What is the percent overshoot at this damping ratio? Answer:

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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