Electric machinery fundamentals
5th Edition
ISBN: 9780073529547
Author: Chapman, Stephen J.
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 3, Problem 3.4P
A three-phase, Y-connected, four-pole winding is installed in 24 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. The flux per pole in the machine is 0.060 Wb, and the speed of rotation of the magnetic field is 1800 r/min.
- What is the frequency of the voltage produced in this winding?
- What are the resulting phase and terminal voltages of this stator?
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A three-phase Y-connected four-pole winding is installed in 24 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. 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
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
(1800 r/min)(4 poles)
n„P
f, =
120
= 60 Hz
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, = 2nN of = /27(40 t)(0.060 Wb)(60 Hz) = 640 V
%3D
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, =…
A three-phase Δ-connected six-pole winding is installed in 36 slots on a stator. There are 150 turns of
wire in each slot of the windings. All coils in each phase are connected in series. The flux per pole in the
machine is 0.060 Wb, and the speed of rotation of the magnetic field is 1000 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?
Chapter 3 Solutions
Electric machinery fundamentals
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