A three-phase four-pole winding is installed in 12 slots on a stator. There are 40 turns of wire in each slot of the windings. All coils in each phase are connected in series, and the three phases are connected in A. The flux per pole in the machine is 0.060 Wb, and the speed of rotation of the magnetic field is 1800 r/min. (a) What is the frequency of the voltage produced in this winding? (b) What are the resulting phase and terminal voltages of this stator? SOLUTION (a) The frequency of the voltage produced in this winding is n„P_ (1800 r/min)(4 poles) - = 60 Hz 120 120 (b) There are 12 slots on this stator, with 40 turns of wire per slot. Since this is a four-pole machine, there are two sets of coils (4 slots) associated with each phase. The voltage in the coils in one pair of slots is E, = V2nNof = JZr(40 t)(0.060 Wb)(60 Hz) = 640 V There are two sets of coils per phase, since this is a four-pole machine, and they are connected in series, so the total phase voltage is V, = 2(640 V) =1280 V Since the machine is A-connected, V. = V, = 1280 V.

A three-phase four-pole winding is installed in 12 slots on a stator. There are 40 turns of wire in each slot of the windings. All coils in each phase are connected in series, and the three phases are connected in A. The flux per pole in the machine is 0.060 Wb, and the speed of rotation of the magnetic field is 1800 r/min. (a) What is the frequency of the voltage produced in this winding? (b) What are the resulting phase and terminal voltages of this stator? SOLUTION (a) The frequency of the voltage produced in this winding is n„P_ (1800 r/min)(4 poles) - = 60 Hz 120 120 (b) There are 12 slots on this stator, with 40 turns of wire per slot. Since this is a four-pole machine, there are two sets of coils (4 slots) associated with each phase. The voltage in the coils in one pair of slots is E, = V2nNof = JZr(40 t)(0.060 Wb)(60 Hz) = 640 V There are two sets of coils per phase, since this is a four-pole machine, and they are connected in series, so the total phase voltage is V, = 2(640 V) =1280 V Since the machine is A-connected, V. = V, = 1280 V.

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...

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