An armature-controlled DC motor is used to operate a valve using a lead screw. The motor has the following parameters: kg - 0.04 Nm A-1 R, - 0.2 ohms L, - 0.002 H kg - 0.004 Vs J- 10“ Kgm² b - 0.01 Nms Lead Screw Diameter - 1cm (a) Find the transfer function relating the angular velocity of the shaft and the input voltage. (b) Given that the DC voltage is 25 V determine: (1) The undamped natural frequency (i) The damping ratio (i) The time to the 1" peak of angular velocity
An armature-controlled DC motor is used to operate a valve using a lead screw. The motor has the following parameters: kg - 0.04 Nm A-1 R, - 0.2 ohms L, - 0.002 H kg - 0.004 Vs J- 10“ Kgm² b - 0.01 Nms Lead Screw Diameter - 1cm (a) Find the transfer function relating the angular velocity of the shaft and the input voltage. (b) Given that the DC voltage is 25 V determine: (1) The undamped natural frequency (i) The damping ratio (i) The time to the 1" peak of angular velocity
Chapter51: Electric And Electronic Braking
Section: Chapter Questions
Problem 2SQ: Differentiate between the AC and DC magnetic fields applied to an induction motor stator.
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Question
![R.
L.
Motor
inertia
motor
ep
Damping
b
Armature circuit
Inertial load
An armature-controlled DC motor is used to operate a valve using a lead screw. The motor has
the following parameters:
kg - 0.04 Nm A-1
R - 0.2 ohms
La - 0.002 H
ko - 0.004 Vs
J- 104 Kgm?
b -0.01 Nms
Lead Screw Diameter - 1cm
(a) Find the transfer function relating the angular velocity of the shaft and the input voltage.
(b) Given that the DC voltage is 25 V determine:
(i)
The undamped natural frequency
(ii)
The damping ratio
(ii)
The time to the 1' peak of angular velocity
(iv) The settling time
(v)
The steady state angular velocity
(c) Ignoring the inductance determine the distance moved by the valve if the voltage is switched
off. Assume the motor is moving at steady state angular velocity and the lead screw pitch to
diameter ratio is 0.5. Find the rotation angle and the movement.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88622480-36fb-4bd0-9bc4-9cd42655318a%2F65fe1ab2-c5ee-4c25-a312-ba8cabe154bb%2Fq9un5r_processed.png&w=3840&q=75)
Transcribed Image Text:R.
L.
Motor
inertia
motor
ep
Damping
b
Armature circuit
Inertial load
An armature-controlled DC motor is used to operate a valve using a lead screw. The motor has
the following parameters:
kg - 0.04 Nm A-1
R - 0.2 ohms
La - 0.002 H
ko - 0.004 Vs
J- 104 Kgm?
b -0.01 Nms
Lead Screw Diameter - 1cm
(a) Find the transfer function relating the angular velocity of the shaft and the input voltage.
(b) Given that the DC voltage is 25 V determine:
(i)
The undamped natural frequency
(ii)
The damping ratio
(ii)
The time to the 1' peak of angular velocity
(iv) The settling time
(v)
The steady state angular velocity
(c) Ignoring the inductance determine the distance moved by the valve if the voltage is switched
off. Assume the motor is moving at steady state angular velocity and the lead screw pitch to
diameter ratio is 0.5. Find the rotation angle and the movement.
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