Thank you for answering this question. Please you specify each step and formula you used as soon as possible. Good Luck! Thank You. In electromechanical system, position of mass is controlled using a DC motor. The system transfer function is constructed by as follow: K„ L X(s) U(s) (). Js? + K„ s + K L m+ where Ku = 1 Nm/V, Kw = 0.1 Nms/rad, m = 3000 kg, J = 0.001 kgm?, L = 10 mm, K = 200 kN/m and u(t) is the voltage applied to the DC motor. a) Is this system underdamped, critically damped or overdamped? b) Using the system type that you obtain in part-a, determine the period of oscillations of the system response. c) Obtain the unit step response.

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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.47P
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Thank you for answering this question. Please you specify each step and formula you used
as soon as possible.
Good Luck! Thank You.
In electromechanical system, position of mass is controlled using a DC motor. The system
transfer function is constructed by as follow:
K„
L
X(s)
U(s)
().
Js? +
K„ s + K
L
m+
where Ku = 1 Nm/V, Kw = 0.1 Nms/rad, m = 3000 kg, J = 0.001 kgm?, L = 10 mm, K = 200 kN/m
and u(t) is the voltage applied to the DC motor.
a) Is this system underdamped, critically damped or overdamped?
b) Using the system type that you obtain in part-a, determine the period of oscillations of the
system response.
c) Obtain the unit step response.
d) Roughly sketch the system response that you obtain in part-c
e) Assume that K and L are the adjustable parameters. For a step input of u(t) = 20h(t),
determine the conditions on K and L so that the position x(t) of the mass has a steady state
value, Xss, between 0 and 0.1 m.
Transcribed Image Text:Thank you for answering this question. Please you specify each step and formula you used as soon as possible. Good Luck! Thank You. In electromechanical system, position of mass is controlled using a DC motor. The system transfer function is constructed by as follow: K„ L X(s) U(s) (). Js? + K„ s + K L m+ where Ku = 1 Nm/V, Kw = 0.1 Nms/rad, m = 3000 kg, J = 0.001 kgm?, L = 10 mm, K = 200 kN/m and u(t) is the voltage applied to the DC motor. a) Is this system underdamped, critically damped or overdamped? b) Using the system type that you obtain in part-a, determine the period of oscillations of the system response. c) Obtain the unit step response. d) Roughly sketch the system response that you obtain in part-c e) Assume that K and L are the adjustable parameters. For a step input of u(t) = 20h(t), determine the conditions on K and L so that the position x(t) of the mass has a steady state value, Xss, between 0 and 0.1 m.
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