Instructions: Transient analysis is with reference to step response. Peak overshoot is mentioned in per cent. Settling time is to be found out for 2% tolerance. Steady state error is to be computed in absolute magnitude (not in per cent). For frequency response analysis, if the cross-over frequency, the gain margin or the phase margin is unbounded or does not exist, then write the answer for that part as -1. Problem statement: A unity gain negative feedback control system is given with the plant transfer function G(s) = 8(s + 4)2 and a series compensator G_{c}{s)= k, where k>=0. Part A Consider the closed-loop system. 1. Steady state error e_fss) = Using Routh array answer the following: 2. Maximum value of k for stability (kmarginal) = Part B For the control system described in Part A, Choose the value of the gain G_c(s) = k = 64. For the dominant subsystem (of the closed-loop system) obtain the step response and answer the following: 3. Peak time T_p =
Instructions: Transient analysis is with reference to step response. Peak overshoot is mentioned in per cent. Settling time is to be found out for 2% tolerance. Steady state error is to be computed in absolute magnitude (not in per cent). For frequency response analysis, if the cross-over frequency, the gain margin or the phase margin is unbounded or does not exist, then write the answer for that part as -1. Problem statement: A unity gain negative feedback control system is given with the plant transfer function G(s) = 8(s + 4)2 and a series compensator G_{c}{s)= k, where k>=0. Part A Consider the closed-loop system. 1. Steady state error e_fss) = Using Routh array answer the following: 2. Maximum value of k for stability (kmarginal) = Part B For the control system described in Part A, Choose the value of the gain G_c(s) = k = 64. For the dominant subsystem (of the closed-loop system) obtain the step response and answer the following: 3. Peak time T_p =
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 12.1P
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