Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN: 9781305632134
Author: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher: Cengage Learning
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Question
Chapter 2, Problem 2.48P
To determine
(a)
The power triangle of each load and the combine load.
To determine
(b)
The power factor of the combined load and state whether lagging or leading.
To determine
(c)
The magnitude of the line current from the source.
To determine
(d)
The capacitive reactance is needed in each leg to make the source power factor unity.
To determine
(e)
The magnitude of the current in each capacitor and the line current from the source.
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Q2. For the transformer shown in Fig. 1.
A. Plot the winding connection for the transformer and justify your answer.
(4M)
B. If the transformer is adopted in 12 pulse diode rectifier, where two-series connected
bridge rectifiers are used to supply a highly inductive load with 100 A. (i) Select a
suitable turns ratio for the transformer (ii) Plot the line current of each winding (
secondary + primary) showing the current magnitude at each interval (iii) Use Fourier
Page 1 of 3
analysis to obtain the Fourier series of all line currents then calculate the THD of the
input current.
(8=0°
(16M)
(Y) = 30°
Fig. 1
P. I v
I
Q2. For the transformer shown in Fig.1,
A. Find the phase shift between the primary and star-connected secondary.
B. If the transformer is adopted in a 12-pulse diode rectifier, where a two-series
connected bridge rectifier is connected in series and supplies a highly inductive load
(i) Select a suitable turns ratio for the transformer
(ii) Plot the line current of each winding (secondary + primary).
(iii)Using Fourier analysis to obtain the Fourier series of all line currents, then calculate
the THD of the input current.
(iv) Draw the output voltage of the first and second rectifiers and give the relation of
the total output voltage.
N2
B
C
Fig. 1
N3
a
Q2.A. It is planned to use the transformer shown in Fig. 1, a 12-pulse rectifier. Each
secondary is connected to three phase controlled bridge rectifier. The two rectifiers
are connected in series to supply a highly inductive load.
1. Based on the phasor relationship between different windings. If suitable turns
ratio is selected, is it possible to use this transformer to produce 12 pulse
output voltage? Show the reason behind your answer.
2. Assuming this arrangement is possible to be used in 12-pulse rectifier, draw
the output voltage of the 1st and 2nd rectifier and give the relation of the total
output voltage.
3. Use the Fourier analysis to show the harmonics in all line currents of the
transformer.
A
B
in
C
Fig. 1
b
la
a
2
b.
Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
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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