For the two feedback systems shown below, (a) Find the closed-loop transfer functions T1 and T2 for each system, (b) Show that T1 = T2 = 100 when K1 = K2 = 100, and (c) Compare the sensitivities of the two systems with respect to the parameter Ki for the nominal values of K1 = K2 = 100. R(s) K1 K2 C(s) (1) 0.0099 R(s) K1 K2 C(s) 0.09 0.09

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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For the two feedback systems shown below, (a) Find the closed-loop transfer functions T1 and T2
for each system, (b) Show that T1 = T2 = 100 when K1 = K2 = 100, and (c) Compare the sensitivities
of the two systems with respect to the parameter K1 for the nominal values of K1 = K2 = 100.
R(s)
K1
K2
C(s)
(1)
0.0099
R(s)
K1
K2
C(s)
0.09
0.09
(2)
Transcribed Image Text:For the two feedback systems shown below, (a) Find the closed-loop transfer functions T1 and T2 for each system, (b) Show that T1 = T2 = 100 when K1 = K2 = 100, and (c) Compare the sensitivities of the two systems with respect to the parameter K1 for the nominal values of K1 = K2 = 100. R(s) K1 K2 C(s) (1) 0.0099 R(s) K1 K2 C(s) 0.09 0.09 (2)
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