A 440 V, 50 Hz, 25 hp, 4-pole, Y-connected three-phase wound-rotor induction motor has the following circuit parameters: R1 = 0.46 02, R2 = 0.33 0, x1 = 1.10, X2=0.460, and Xm = 25 02. (stator referred) Rotational losses (including core loss) = 500 W (constant). (1) At a slip of 0.04, use the complete equivalent circuit model to calculate: (a) Motor speed (b) Stator current (c) Airgap and shaft torque

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...
icon
Related questions
Question

please solve the first 3 parts

A 440 V, 50 Hz, 25 hp, 4-pole, Y-connected three-phase wound-rotor induction motor has the following
circuit parameters:
R1 = 0.46 02, R2 = 0.33 0, x1 = 1.10, X2=0.46 02, and Xm = 25 02. (stator referred)
Rotational losses (including core loss) = 500 W (constant).
(1) At a slip of 0.04, use the complete equivalent circuit model to calculate:
(a) Motor speed
(b) Stator current
(c) Airgap and shaft torque
(d) Input power factor
(e) Efficiency
(f) Starting current and torque.
(2) Use the simplified Thevenen's equivalent circuit to calculate:
(a) The developed maximum torque
(b) The speed at which the maximum torque is developed.
(c) The starting current
(d) The starting torque
(3) If an external resistance equal to the rotor resistance is added to the rotor circuit, then
calculate:
(a) The starting current and torque (use the complete equivalent circuit).
(b) The developed maximum torque
(c) The speed at which the maximum torque is developed.
Transcribed Image Text:A 440 V, 50 Hz, 25 hp, 4-pole, Y-connected three-phase wound-rotor induction motor has the following circuit parameters: R1 = 0.46 02, R2 = 0.33 0, x1 = 1.10, X2=0.46 02, and Xm = 25 02. (stator referred) Rotational losses (including core loss) = 500 W (constant). (1) At a slip of 0.04, use the complete equivalent circuit model to calculate: (a) Motor speed (b) Stator current (c) Airgap and shaft torque (d) Input power factor (e) Efficiency (f) Starting current and torque. (2) Use the simplified Thevenen's equivalent circuit to calculate: (a) The developed maximum torque (b) The speed at which the maximum torque is developed. (c) The starting current (d) The starting torque (3) If an external resistance equal to the rotor resistance is added to the rotor circuit, then calculate: (a) The starting current and torque (use the complete equivalent circuit). (b) The developed maximum torque (c) The speed at which the maximum torque is developed.
Expert Solution
steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Knowledge Booster
Three phase Induction Motor
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)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,