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
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
Related questions
Question
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps with 6 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,