Electric Machinery And Power System Fundamentals 2001 By Stephen J. Chapman
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Electric Machinery and Power System Fundamentals First Edition Instructors Manual to accompany Chapman Stephen J Chapman BAE SYSTEMS Australia i Instructors Manual to accompany Electric Machinery and Power System Fundamentals First Edition Copyright 2001 McGrawHill Inc All rights reserved Printed in the United States of America No part of this boo......
Instructor’s Manual
to accompany
Chapman
Electric Machinery and Power System Fundamentals
First Edition
Stephen J. Chapman
BAE SYSTEMS Australia
i
Instructor’s Manual to accompany
Electric Machinery and Power System Fundamentals,
First Edition
Copyright
2001 McGraw-Hill, Inc.
All rights reserved. Printed in the United States of America. No part of this book may be used or reproduced in
any manner whatsoever without written permission, with the following exception: homework solutions may be
copied for classroom use.
ISBN:
???
ii
TABLE OF CONTENTS
1
2
3
4
5
6
7
8
9
10
11
12
13
Preface
Mechanical and Electromagnetic Fundamentals
Three-Phase Circuits
Transformers
AC Machine Fundamentals
Synchronous Machines
Parallel Operation of Synchronous Generators
Induction Motors
DC Motors
Transmission Lines
Power System Representation and Equations
Introduction to Power-Flow Studies
iv
1
23
27
66
69
103
114
148
178
193
205
256
285
Symmetrical Faults
Unsymmetrical Faults
iii
PREFACE
TO THE INSTRUCTOR
This Instructor’s Manual is intended to accompany the third edition of
Electric Machinery and Power System
Fundamentals.
To make this manual easier to use, it has been made self-contained. Both the original problem
statement and the problem solution are given for each problem in the book. This structure should make it easier to
copy pages from the manual for posting after problems have been assigned.
Many of the problems in Chapters 2, 5, 6, and 9 require that a student read one or more values from a
magnetization curve. The required curves are given within the textbook, but they are shown with relatively few
vertical and horizontal lines so that they will not appear too cluttered. Electronic copies of the corresponding
open-circuit characteristics, short-circuit characteristics, and magnetization curves as also supplied with the book.
They are supplied in two forms, as MATLAB MAT-files and as ASCII text files. Students can use these files for
electronic solutions to homework problems. The ASCII files are supplied so that the information can be used with
non-MATLAB software.
The solutions in this manual have been checked carefully, but inevitably some errors will have slipped through. If
you locate errors which you would like to see corrected, please feel free to contact me at the address shown below,
or at my email address
schapman@tpgi.com.au
. I greatly appreciate your input! My physical and email
addresses may change from time to time, but my contact details will always be available at the book’s Web site,
which is
http://www.mhhe.com/engcs/electrical/chapman/
.
Thank you.
Stephen J. Chapman
Melbourne, Australia
August 16, 2001
Stephen J. Chapman
276 Orrong Road
Caulfield North, VIC 3161
Australia
Phone +61-3-9527-9372
iv
Chapter 1:
Mechanical and Electromagnetic Fundamentals
1-1.
A motor’s shaft is spinning at a speed of 1800 r/min. What is the shaft speed in radians per second?
S
OLUTION
The speed in radians per second is
1 min
2
π
rad
=
188.5 rad/s
60 s
1 r
ω
=
(
1800 r/min
)
1-2.
A flywheel with a moment of inertia of 4 kg
⋅
m
2
is initially at rest. If a torque of 5 N
⋅
m
(counterclockwise) is suddenly applied to the flywheel, what will be the speed of the flywheel after 5 s?
Express that speed in both radians per second and revolutions per minute.
S
OLUTION
The speed in radians per second is:
τ
J
5 N
⋅
m
(
5 s
)
=
6 .25 rad/s
t
=
4 kg
⋅
m
2
ω
=
α
t
=
The speed in revolutions per minute is:
1 r
60 s
n
=
(
6.25 rad/s
)
=
59.7 r/min
2
π
rad
1 min
1-3.
A force of 5 N is applied to a cylinder, as shown in Figure P1-1. What are the magnitude and direction of
the torque produced on the cylinder? What is the angular acceleration
α
of the cylinder?
S
OLUTION
The magnitude and the direction of the torque on this cylinder is:
τ
ind
=
(
0.5 m
)
(
5 kg
⋅
m
2
)
sin 40
° =
1.607 N
⋅
m, CCW
1-4.
A motor is supplying 70 N
⋅
m of torque to its load. If the motor’s shaft is turning at 1500 r/min, what is
the mechanical power supplied to the load in watts? In horsepower?
S
OLUTION
The mechanical power supplied to the load is
τ
ind
=
rF
sin
θ
, CCW
1 min
2
π
rad
P
=
τω
=
(
70 N
⋅
m
)(
1500 r/min
)
=
11,000 W
60 s
1 r
1 hp
P
=
(
11,000 W
)
=
14.7 hp
746 W
1-5.
A ferromagnetic core is shown in Figure P1-2. The depth of the core is 5 cm. The other dimensions of
the core are as shown in the figure. Find the value of the current that will produce a flux of 0.003 Wb.
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