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MindTap Engineering for Glover/Overbye/Sarma's Power System Analysis and Design, 6th Edition, [Instant Access], 1 term (6 months)
6th Edition
ISBN: 9781305636309
Author: J. Duncan Glover; Thomas Overbye; Mulukutla S. Sarma
Publisher: Cengage Learning US
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Textbook Question
Chapter 2, Problem 2.42P
A balanced
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The current and voltage across a circuit element are given by the equations
I(t) = 20e 100t (mA), V(t) = 105e-1⁰⁰t (V)
Determine the total energy
E dissipated by the element
between t=0 and t=10ms. The instantaneous power dissipated by the
element is P(t) = 1(t)V (t). Find the total energy E by integrating P(t) over
the time interval from t=0 to t=10ms=0.01sec. To do so, use the function
trapez(fn, a, b, h), which implements the trapezoidal rule for numerical
integration and where fn is a function handle to a function that needs to be
integrated, a and b are the integral limits and h is the step length. Write in
Matlab the function that needs to be integrated and call function trapez with
appropriate parameters.
Exercises part:
1. For the circuit in Figure 1, determine and draw the Thevenin Equivalent circuit. Also,
determine the current, I, and the power dissipated in the load. The load impedance Z,
is changed as shown in table 2 when Z, = R- X, where Z, = R, ±X.
Table 2 calculated values
R,
V.
I.
P, = 1, *V,
1.8- X, 2
10-X, 2
22 - х, 2
100 –X, 2
330- Х, 2
560 -X, 2
1-X, kQ
2.2-X, k2
10-X, k2
56-X, k2
2. Plot P, versus R, using Excel or MATLAB. It is required to figure out the maximum
power transfer to the load.
R
330 0
1 mH
E = 5VZ 0°
1 uF
f=1000HZ
Figure 1.
QUESTION 10
Consider a linear circuit having a single output voltage and two possible voltage sources as the input. Consider two situations:
1) Input voltage source #1 is equal to 4 Volts. Input voltage source #2 is equal to 3sin(60t) Volts. When both are applied, the output is
12+21cos(60t) Volts.
2) Input voltage source #1 is equal to 2 Volts. Input voltage source #2 is equal to 0. The corresponding outout is 6 Volts
Then, if the input voltage source #1 is 0 and the input voltage source #2 is equal to 2cos(60t) Volts, the output is:
a. 14cos(60t) Volts
b. -6sin(60t) Volts
c.-14sin(60t) Volts
d. 21 cos(60t) Volts
Chapter 2 Solutions
MindTap Engineering for Glover/Overbye/Sarma's Power System Analysis and Design, 6th Edition, [Instant Access], 1 term (6 months)
Ch. 2 - The rms value of v(t)=Vmaxcos(t+) is given by a....Ch. 2 - If the rms phasor of a voltage is given by V=12060...Ch. 2 - If a phasor representation of a current is given...Ch. 2 - Prob. 2.4MCQCh. 2 - Prob. 2.5MCQCh. 2 - Prob. 2.6MCQCh. 2 - Prob. 2.7MCQCh. 2 - Prob. 2.8MCQCh. 2 - Prob. 2.9MCQCh. 2 - The average value of a double-frequency sinusoid,...
Ch. 2 - The power factor for an inductive circuit (R-L...Ch. 2 - The power factor for a capacitive circuit (R-C...Ch. 2 - Prob. 2.13MCQCh. 2 - The instantaneous power absorbed by the load in a...Ch. 2 - Prob. 2.15MCQCh. 2 - With generator conyention, where the current...Ch. 2 - Consider the load convention that is used for the...Ch. 2 - Prob. 2.18MCQCh. 2 - The admittance of the impedance j12 is given by...Ch. 2 - Consider Figure 2.9 of the text, Let the nodal...Ch. 2 - The three-phase source line-to-neutral voltages...Ch. 2 - In a balanced three-phase Y-connected system with...Ch. 2 - In a balanced system, the phasor sum of the...Ch. 2 - Consider a three-phase Y-connected source feeding...Ch. 2 - For a balanced- load supplied by a balanced...Ch. 2 - A balanced -load can be converted to an...Ch. 2 - When working with balanced three-phase circuits,...Ch. 2 - The total instantaneous power delivered by a...Ch. 2 - The total instantaneous power absorbed by a...Ch. 2 - Under balanced operating conditions, consider the...Ch. 2 - One advantage of balanced three-phase systems over...Ch. 2 - While the instantaneous electric power delivered...Ch. 2 - Given the complex numbers A1=630 and A2=4+j5, (a)...Ch. 2 - Convert the following instantaneous currents to...Ch. 2 - The instantaneous voltage across a circuit element...Ch. 2 - For the single-phase circuit shown in Figure...Ch. 2 - A 60Hz, single-phase source with V=27730 volts is...Ch. 2 - (a) Transform v(t)=75cos(377t15) to phasor form....Ch. 2 - Let a 100V sinusoidal source be connected to a...Ch. 2 - Consider the circuit shown in Figure 2.23 in time...Ch. 2 - For the circuit shown in Figure 2.24, compute the...Ch. 2 - For the circuit element of Problem 2.3, calculate...Ch. 2 - Prob. 2.11PCh. 2 - The voltage v(t)=359.3cos(t)volts is applied to a...Ch. 2 - Prob. 2.13PCh. 2 - A single-phase source is applied to a...Ch. 2 - Let a voltage source v(t)=4cos(t+60) be connected...Ch. 2 - A single-phase, 120V(rms),60Hz source supplies...Ch. 2 - Consider a load impedance of Z=jwL connected to a...Ch. 2 - Let a series RLC network be connected to a source...Ch. 2 - Consider a single-phase load with an applied...Ch. 2 - A circuit consists of two impedances, Z1=2030 and...Ch. 2 - An industrial plant consisting primarily of...Ch. 2 - The real power delivered by a source to two...Ch. 2 - A single-phase source has a terminal voltage...Ch. 2 - A source supplies power to the following three...Ch. 2 - Consider the series RLC circuit of Problem 2.7 and...Ch. 2 - A small manufacturing plant is located 2 km down a...Ch. 2 - An industrial load consisting of a bank of...Ch. 2 - Three loads are connected in parallel across a...Ch. 2 - Prob. 2.29PCh. 2 - Figure 2.26 shows three loads connected in...Ch. 2 - Consider two interconnected voltage sources...Ch. 2 - Prob. 2.35PCh. 2 - Prob. 2.36PCh. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - Prob. 2.39PCh. 2 - A balanced three-phase 240-V source supplies a...Ch. 2 - Prob. 2.41PCh. 2 - A balanced -connected impedance load with (12+j9)...Ch. 2 - A three-phase line, which has an impedance of...Ch. 2 - Two balanced three-phase loads that are connected...Ch. 2 - Two balanced Y-connected loads, one drawing 10 kW...Ch. 2 - Three identical impedances Z=3030 are connected in...Ch. 2 - Two three-phase generators supply a three-phase...Ch. 2 - Prob. 2.48PCh. 2 - Figure 2.33 gives the general -Y transformation....Ch. 2 - Consider the balanced three-phase system shown in...Ch. 2 - A three-phase line with an impedance of...Ch. 2 - A balanced three-phase load is connected to a...Ch. 2 - What is a microgrid?Ch. 2 - What are the benefits of microgrids?Ch. 2 - Prob. CCSQCh. 2 - Prob. DCSQ
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