Q3. Consider the system shown in Figure 6. Determine the value of k such that the damping ratio z is 0.5.Then obtain the rise time tr, peak time tp, maximum overshoot Mp, and settling time ts in the unit-step response. R(1) -1- C)

Q3. Consider the system shown in Figure 6. Determine the value of k such that the damping ratio z is 0.5.Then obtain the rise time tr, peak time tp, maximum overshoot Mp, and settling time ts in the unit-step response. R(1) -1- C)

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

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.29P

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Question

Q3. Consider the system shown in Figure 6. Determine the value of k such that the
damping ratio z is 0.5.Then obtain the rise time tr, peak time tp, maximum overshoot
Mp, and settling time ts in the unit-step response.
R(s)
+0.8
LJ
Figure 6. Block diagram of a system.
C(s)

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Step 1: Given block diagram and what we need to find

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Step 2: Reducing the given Block diagram

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Step 3: Finding the transfer function of given block diagram

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Step 4: Finding the characteristic equation

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Step 5: Finding the value of k

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Step 6: Finding Rise time

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Step 7: Finding Peak time, Maximum overshoot ,Settling time

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