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Problem 4: (20 pt) Consider a field-controlled DC motor. The motor has a coil with induction L =100 H and resistance R = 100 ohms. the motor has a torque constant of 10. The rotating mass of the motor has inertia J = 2.2 x 10<sup>-6</sup> kg-m<sup>2</sup> a) Obtain the transfer function G(S)= \(\Omega\) (S) / E<sub>i</sub>(S) for the motor b) Find the system poles and zeros. c) What is the motor natural frequency. d) Find the steady state error for the unit step response of the motor. e) Find the motor's peak frequency in case of a harmonic input.

          Problem 4: (20 pt)
Consider a field-controlled DC motor. The motor has a coil with induction L =100
H and resistance R = 100 ohms. the motor has a torque constant of 10. The rotating
mass of the motor has inertia J = 2.2 x 10<sup>-6</sup> kg-m<sup>2</sup>
a) Obtain the transfer function G(S)= \(\Omega\) (S) / E<sub>i</sub>(S) for the motor
b) Find the system poles and zeros.
c) What is the motor natural frequency.
d) Find the steady state error for the unit step response of the motor.
e) Find the motor's peak frequency in case of a harmonic input.

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Problem 4: (20 pt)
Consider a field-controlled DC motor. The motor has a coil with induction L =100
H and resistance R = 100 ohms. the motor has a torque constant of 10. The rotating
mass of the motor has inertia J = 2.2 x 10<sup>-6</sup> kg-m<sup>2</sup>
a) Obtain the transfer function G(S)= Ω (S) / E<sub>i</sub>(S) for the motor
b) Find the system poles and zeros.
c) What is the motor natural frequency.
d) Find the steady state error for the unit step response of the motor.
e) Find the motor's peak frequency in case of a harmonic input.

Added by Clara H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

06/13/2023

Step 1

The electrical component is represented by the inductance L and resistance R, while the mechanical component is represented by the torque constant Kt and inertia J. The transfer function is given by: G(s) = Kt / (s(Js + Kt^2) + R) Substitute the given values: L Show more…

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Problem 4: (20pt) Consider a field-controlled DC motor. The motor has a coil with induction L=100 H and resistance R=100 ohms. the motor has a torque constant of 10 . The rotating mass of the motor has inertia J=2.2 imes 10^(-6)kg-m^(2) a) Obtain the transfer function G(S)=Omega (S)/(E_(i))(S) for the motor b) Find the system poles and zeros. c) What is the motor natural frequency. d) Find the steady state error for the unit step response of the motor. e) Find the motor's peak frequency in case of a harmonic input. Problem 4: (20 pt) Consider a field-controlled DC motor. The motor has a coil with induction L =100 H and resistance R = 100 ohms. the motor has a torque constant of 10. The rotating mass of the motor has inertia J = 2.2 x 10-6 kg-m2 a) Obtain the transfer function G(S)= (S) / E(S) for the motor b) Find the system poles and zeros. c) What is the motor natural frequency. d) Find the steady state error for the unit step response of the motor e) Find the motor's peak frequency in case of a harmonic input.

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