1) Consider the following characteristic equation: s4 + 2s3 + (4 + K)s2 + 9s + 25 = 0 Using the Routh stability criterion, determine the range of K for stability? (( Ans: K> 6.056 )) 2) Consider the closed-loop system shown in Figure 1, If K/J=4, what is the value of Kh will yield the damping ratio to be 0.6? (( Ans: Kh = 0.6 )) R(s) K Is KA Figure 1 3) Consider the closed-loop system shown in Figure 2. Determine the range of K for stability ASsume that K0 -|

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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.27P
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1) Consider the following characteristic equation:
s4 + 2s3 + (4 + K)s2 + 9s + 25 = 0
Using the Routh stability criterion, determine the range of K
for stability? (( Ans: K> 6.056 ))
2) Consider the closed-loop system shown in Figure 1, If K/J=4,
what is the value of Kh will yield the damping ratio to be
0.6? ((Ans: Kh = 0.6 ))
R(s)
K
Is
Figure 1
3) Consider the closed-loop system shown in Figure 2.
Determine the range of K for stability. Assume that K>0.
(( Ans: 12.5>k>0 ))
R(s)
s-2
K
(s+ 1)Xs + 6s + 25)
Figure 2
Transcribed Image Text:1) Consider the following characteristic equation: s4 + 2s3 + (4 + K)s2 + 9s + 25 = 0 Using the Routh stability criterion, determine the range of K for stability? (( Ans: K> 6.056 )) 2) Consider the closed-loop system shown in Figure 1, If K/J=4, what is the value of Kh will yield the damping ratio to be 0.6? ((Ans: Kh = 0.6 )) R(s) K Is Figure 1 3) Consider the closed-loop system shown in Figure 2. Determine the range of K for stability. Assume that K>0. (( Ans: 12.5>k>0 )) R(s) s-2 K (s+ 1)Xs + 6s + 25) Figure 2
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