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Category: Science and Technology
Date Submitted: 09/09/2015 09:44 AM
Solutions Manual
Hadi Saadat
Professor of Electrical Engineering
Milwaukee School of Engineering
Milwaukee, Wisconsin
McGraw-Hill, Inc.
CONTENTS
1
THE POWER SYSTEM: AN OVERVIEW
1
2
BASIC PRINCIPLES
5
3
GENERATOR AND TRANSFORMER MODELS;
THE PER-UNIT SYSTEM
25
4
TRANSMISSION LINE PARAMETERS
52
5
LINE MODEL AND PERFORMANCE
68
6
POWER FLOW ANALYSIS
107
7
OPTIMAL DISPATCH OF GENERATION
147
8
SYNCHRONOUS MACHINE TRANSIENT ANALYSIS
170
9
BALANCED FAULT
181
10 SYMMETRICAL COMPONENTS AND UNBALANCED FAULT
208
11 STABILITY
244
12 POWER SYSTEM CONTROL
263
i
CHAPTER 1 PROBLEMS
1.1 The demand estimation is the starting point for planning the future electric
power supply. The consistency of demand growth over the years has led to numerous attempts to fit mathematical curves to this trend. One of the simplest curves
is
P = P0 ea(t−t0 )
where a is the average per unit growth rate, P is the demand in year t, and P0 is
the given demand at year t0 .
Assume the peak power demand in the United States in 1984 is 480 GW with
an average growth rate of 3.4 percent. Using MATLAB, plot the predicated peak
demand in GW from 1984 to 1999. Estimate the peak power demand for the year
1999.
We use the following commands to plot the demand growth
t0 = 84; P0 = 480;
a =.034;
t =(84:1:99)’;
P =P0*exp(a*(t-t0));
disp(’Predicted Peak Demand - GW’)
disp([t, P])
plot(t, P), grid
xlabel(’Year’), ylabel(’Peak power demand GW’)
P99 =P0*exp(a*(99 - t0))
The result is
1
2
CONTENTS
Predicted Peak Demand - GW
84.0000 480.0000
85.0000 496.6006
86.0000 513.7753
87.0000 531.5441
88.0000 549.9273
89.0000 568.9463
90.0000 588.6231
91.0000 608.9804
92.0000 630.0418
93.0000 651.8315
94.0000 674.3740
95.0000 697.6978
96.0000 721.8274
97.0000 746.7916
98.0000 772.6190
99.0000 799.3398
P99 =
799.3398
The plot of the predicated demand is shown n...