(9) The Bode diagram of the open-loop transfer function G(s) of a unity feedback control system is obtained experimentally and is shown below when its loop gain K is set at its nominal value, Ko. 1. Find the gain and phase margins of the system from the diagram as best you can read. Also find the gain and phase crossover frequencies. Gain crossover frequency @₁ = Phase crossover frequency 02 = GM = PM = 2. Repeat part (1) if the loop gain K is 10 times its nominal value (i.e., K = 10 Ko). Gain crossover frequency @₁ = Phase crossover frequency o2 = GM= PM = 3 Find out how much the loop gain K must be changed from its nominal value Ko (i.e., K = a Ko) if the gain margin is to be 40 dB. α = 4 Find out how much the loop gain K must be changed from its nominal value Ko (i.e., K = BK) if the phase margin is to be 45°. В 60 40 1.0 1000 | G(jw) | (dB) ZG(jw) (deg) 20 0 -20 -40 -60 -80 -100 -120 0.01 0 -45 -90 -135 -180 -225 -270 0.01 0.1 0.1 1.0 w (rad/sec) w (rad/sec) 10 10 100 100 1000

(9) The Bode diagram of the open-loop transfer function G(s) of a unity feedback control system is obtained experimentally and is shown below when its loop gain K is set at its nominal value, Ko. 1. Find the gain and phase margins of the system from the diagram as best you can read. Also find the gain and phase crossover frequencies. Gain crossover frequency @₁ = Phase crossover frequency 02 = GM = PM = 2. Repeat part (1) if the loop gain K is 10 times its nominal value (i.e., K = 10 Ko). Gain crossover frequency @₁ = Phase crossover frequency o2 = GM= PM = 3 Find out how much the loop gain K must be changed from its nominal value Ko (i.e., K = a Ko) if the gain margin is to be 40 dB. α = 4 Find out how much the loop gain K must be changed from its nominal value Ko (i.e., K = BK) if the phase margin is to be 45°. В 60 40 1.0 1000 | G(jw) | (dB) ZG(jw) (deg) 20 0 -20 -40 -60 -80 -100 -120 0.01 0 -45 -90 -135 -180 -225 -270 0.01 0.1 0.1 1.0 w (rad/sec) w (rad/sec) 10 10 100 100 1000

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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