)) The Nyquist Plot of a system G(s) = in a unity feedback loop (Figure 3) is shown in Figure (s+1)² 4 for K = 1: a). Is the closed-loop system stable for K = 1? Justify your conclusion with Nyquist Stability Criterion ? b). Discuss the impact of the value of K, increasing or decreasing, on the closed-loop system stability and find the critical value of K in Nyquist Plot. Applying Routh-Hurwitz Criterion to validate your conclusions. R(s) + Y(s) G(s) Figure 3: Nyquist Diagram 15- 05 Real Asis

)) The Nyquist Plot of a system G(s) = in a unity feedback loop (Figure 3) is shown in Figure (s+1)² 4 for K = 1: a). Is the closed-loop system stable for K = 1? Justify your conclusion with Nyquist Stability Criterion ? b). Discuss the impact of the value of K, increasing or decreasing, on the closed-loop system stability and find the critical value of K in Nyquist Plot. Applying Routh-Hurwitz Criterion to validate your conclusions. R(s) + Y(s) G(s) Figure 3: Nyquist Diagram 15- 05 Real Asis

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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Similar questions

For the open-loop system G(s) = 3/s^2 + 2s - 3 assume there is a feedback with a proportional gain, K. And sketch a locus of closed-loop rootsverse K. What is the minimum value of K to achievea stable system?
Consider a unity negative feedback system with loop transfer function shown in Figure where L(s)=GcG(s)=K(s2+6s+1)(s2+5s+1)L(s)=GcG(s)=K(s2+6s+1)(s2+5s+1) Determine the value of K for which the closed-loop system is stable.
The open loop transfer function of unity feedback system is ??(??) = ??????????(??+??)(??+????).1- Assess the stability of the system.2- If the gain ?? is connected in series with G(s) as shown in figure Q1, Determine the range of ?? for stable system.
3- Consider the unity feedback system shown below. a)Find the range of k for which the closed-loop system is table. b)What is the steady-state error for unit ramp and step inputs.
A second-order system has an open-loop transfer function (pictured in images) A closed-loop system is constructed using a proportional controller in front of the second-order system, and the then a unity negative feedback loop applied. Use a root-locus plotter by entering the transfer function G(s), so that the plot shows the position of the closed-loop poles as the proportional gain is varied from 0 to 100. Use a screenshot of the root locus plot as your answer. Remember that you cannot use brackets when you enter the transfer function into the root-locus plotter, so the first step is the mathematical manipulation of the transfer function to remove the brackets
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A unity-feedback system has forward transfer function (see attached). a) Sketch the root locus for this system as K varies from 0 to ∞; b) Use the Routh-Hurwitz test to determine the range of K for the system to be stable; show this value of K on the root locus plot.
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Compare the closed-loop voltage gain, k = Vo/Vs, for the loaded and unloaded dependent source model of the Voltage Follower with the ideal model of the Voltage to examine the impact of the load, RL on k. - Using any circuit analysis method, derive expressions for the closed-loop gain, k = Vo/Vs, for the ideal opamp Voltage Follower ,both the unloaded ,loaded Voltage Follower using the dependent source model. simplify both of the closed-loop gain expressions for the dependent source models by applying the ideal opamp parameters: A --> infinity , R_i -->infinity and R_0 --> infinity.
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