A first order system has a time constant of 8 s and a steady state gain of 7. Design a proportional control system such that the closed loop time constant is just 4 s. For a step in the set point of magnitude 10, what is the steady state error of this control system? Show all your working.

A first order system has a time constant of 8 s and a steady state gain of 7. Design a proportional control system such that the closed loop time constant is just 4 s. For a step in the set point of magnitude 10, what is the steady state error of this control system? Show all your working.

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 12.4P

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Question

A first order system has a time constant of 8 s and a steady state gain of 7. Design a proportional control system such that the closed loop time constant is just 4 s. For a step in the set point of magnitude 10, what is the steady state
error of this control system? Show all your working.

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Step 1: First order system transfer funcion

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Step 2: Proportional controller and steady state error

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