Q8. For the second order system shown below:1. Range of gain (kl, k2) for which the closed-loop system in is stable should be obtainedprecisely.2. Plot the range of the-k, on the real axis and k2 on the imaginary axis.3. Assume (k¡ = k2 = u=1),compute the ESS.4. For ramp input(u) and the gain values as in 3, determine the ESS.5. If ESS #0 in 3 and u(t) = t, modify (k¡s+k2)/s) controller to make ESS = zero.6. Verify your results.k,s + k,1s+10

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Q8. For the second order system shown below: 1. Range of gain (kl, k2) for which the closed-loop system in is stable should be obtained precisely. 2. Plot the range of the-k¡ on the real axis and k2 on the imaginary axis. 3. Assume (k = k, = u=1) ,compute the ESS.

Q8. For the second order system shown below: 1. Range of gain (kl, k2) for which the closed-loop system in is stable should be obtained precisely. 2. Plot the range of the-k¡ on the real axis and k2 on the imaginary axis. 3. Assume (k = k, = u=1) ,compute the ESS.

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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Q8. For the second order system shown below:
1. Range of gain (kl, k2) for which the closed-loop system in is stable should be obtained
precisely.
2. Plot the range of the-k, on the real axis and k2 on the imaginary axis.
3. Assume (k¡ = k2 = u=1),compute the ESS.
4. For ramp input(u) and the gain values as in 3, determine the ESS.
5. If ESS #0 in 3 and u(t) = t, modify (k¡s+k2)/s) controller to make ESS = zero.
6. Verify your results.
k,s + k,
1
s+10

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