1. A 690-V, six-pole A-connected induction motor runs at 1085 rpm when operating at a full load. Assume the friction and windage losses are 2.9 kW and core losses are 3.1kW. the motor paramet are: R₁ = 0.06 Ohm, R2 = 0.05 Ohm, X₁ = 0.21 Ohm, X₂ = 0.19 Ohm, Xm = 18.5 Ohm. a. Find the speed of the motor in both rpm and rad/sec. b. Find the air-gap power. c. Find the motor efficiency. 2. For the motor of problem 1 (top problem), find the following: a. Find the maximum torque and the slip in which it happens. What is the rotor speed at th slip in rpm? b. Find the start-up torque. c. Find the rotor resistance which would result in maximum torque occurring at the rotor

1. A 690-V, six-pole A-connected induction motor runs at 1085 rpm when operating at a full load. Assume the friction and windage losses are 2.9 kW and core losses are 3.1kW. the motor paramet are: R₁ = 0.06 Ohm, R2 = 0.05 Ohm, X₁ = 0.21 Ohm, X₂ = 0.19 Ohm, Xm = 18.5 Ohm. a. Find the speed of the motor in both rpm and rad/sec. b. Find the air-gap power. c. Find the motor efficiency. 2. For the motor of problem 1 (top problem), find the following: a. Find the maximum torque and the slip in which it happens. What is the rotor speed at th slip in rpm? b. Find the start-up torque. c. Find the rotor resistance which would result in maximum torque occurring at the rotor

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Concept explainers

Three Phase Induction Motor

The induction motor is an electric motor that runs on AC (alternating current) and it is of two type single phase motor that work on single-phase power supply and three-phase motor that work on three-phase power supply.

Question

1. A 690-V, six-pole A-connected induction motor runs at 1085 rpm when operating at a full load.
Assume the friction and windage losses are 2.9 kW and core losses are 3.1kW. the motor parameters
are: R₁ = 0.06 Ohm, R2 = 0.05 Ohm, X₁ = 0.21 Ohm, X₂
0.19 Ohm, Xm = 18.5 Ohm.
=
a. Find the speed of the motor in both rpm and rad/sec.
b.
Find the air-gap power.
c. Find the motor efficiency.
2. For the motor of problem 1 (top problem), find the following:
a. Find the maximum torque and the slip in which it happens. What is the rotor speed at this
slip in rpm?
b. Find the start-up torque.
c. Find the rotor resistance which would result in maximum torque occurring at the rotor
speed of 950 rpm.

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