A general non-unity feedback second-order model of a linearized model of a torque- controlled crane hoisting a load with a fixed rope length is controlled. The step response yields a 21.5 % overshoot at peak time, T, of 0.676 seconds. i) Calculate the damping ratio, 7 and natural frequency, w,. ii) Calculate the value of settling time, T,. ii) Determine the type of second-order response. iv) Sketch the nature of the step response. v) Formulate the closed loop transfer function of the second order system. Determine the closed loop poles using the value of damping ratio, 3 and natural frequency, Wn. vi) vii) Plot the poles location in (vi) on complex s-plane.

A general non-unity feedback second-order model of a linearized model of a torque- controlled crane hoisting a load with a fixed rope length is controlled. The step response yields a 21.5 % overshoot at peak time, T, of 0.676 seconds. i) Calculate the damping ratio, 7 and natural frequency, w,. ii) Calculate the value of settling time, T,. ii) Determine the type of second-order response. iv) Sketch the nature of the step response. v) Formulate the closed loop transfer function of the second order system. Determine the closed loop poles using the value of damping ratio, 3 and natural frequency, Wn. vi) vii) Plot the poles location in (vi) on complex s-plane.

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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