Electric Circuits (10th Edition)
10th Edition
ISBN: 9780133760033
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Chapter 9, Problem 62P
To determine
Find the values of branch currents
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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
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a
2
b.
Chapter 9 Solutions
Electric Circuits (10th Edition)
Ch. 9.3 - Prob. 1APCh. 9.3 - Prob. 2APCh. 9.4 - Prob. 3APCh. 9.4 - Prob. 4APCh. 9.5 - Four branches terminate at a common node. The...Ch. 9.6 - A 20 resistor is connected in parallel with a 5...Ch. 9.6 - The interconnection described in Assessment...Ch. 9.6 - Prob. 9APCh. 9.7 - Find the steady-state expression for vo (t) in the...Ch. 9.7 - Find the Thévenin equivalent with respect to...
Ch. 9.8 - Use the node-voltage method to find the...Ch. 9.9 - Use the mesh-current method to find the phasor...Ch. 9.10 - Prob. 14APCh. 9.11 - The source voltage in the phasor domain circuit in...Ch. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Consider the sinusoidal voltage
What is the...Ch. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - The rms value of the sinusoidal voltage supplied...Ch. 9 - Find the rms value of the half-wave rectified...Ch. 9 - Prob. 8PCh. 9 - Prob. 9PCh. 9 - Verify that Eq. 9.7 is the solution of Eq. 9.6....Ch. 9 - Use the concept of the phasor to combine the...Ch. 9 - Prob. 12PCh. 9 - A 50 kHz sinusoidal voltage has zero phase angle...Ch. 9 - The expressions for the steady-state voltage and...Ch. 9 - A 25 Ω resistor, a 50 mH inductor, and a 32 μF...Ch. 9 - A 25 Ω resistor and a 10mH inductor are connected...Ch. 9 - Three branches having impedances of , and ,...Ch. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Show that at a given frequency ω, the circuits in...Ch. 9 - Show that at a given frequency ω, the circuits in...Ch. 9 - Find the impedance Zab in the circuit seen in Fig....Ch. 9 - Find the admittance Yab in the circuit seen in...Ch. 9 - For the circuit shown in Fig. P9.24, find the...Ch. 9 - Prob. 25PCh. 9 - Prob. 26PCh. 9 - Prob. 27PCh. 9 - Find the steady-state expression for io(t) in the...Ch. 9 - Prob. 29PCh. 9 - The circuit in Fig. P9.30 is operating in the...Ch. 9 - Prob. 31PCh. 9 - Find Ib and Z in the circuit shown in Fig. P9.35...Ch. 9 - Find the value of Z in the circuit seen in Fig....Ch. 9 - Prob. 34PCh. 9 - The circuit shown in Fig. P9.35 is operating in...Ch. 9 - The frequency of the sinusoidal voltage source in...Ch. 9 - The frequency of the source voltage in the circuit...Ch. 9 - The frequency of the sinusoidal voltage source in...Ch. 9 - Prob. 40PCh. 9 - The circuit shown in Fig. P9.40 is operating in...Ch. 9 - Find Zab for the circuit shown in Fig P9.42.
Ch. 9 - The sinusoidal voltage source in the circuit in...Ch. 9 - Prob. 44PCh. 9 - Use source transformations to find the Thévenin...Ch. 9 - Find the Norton equivalent circuit with respect to...Ch. 9 - The device in Fig. P9.47 is represented in the...Ch. 9 - Find the Thévenin equivalent circuit with respect...Ch. 9 - Find the Norton equivalent circuit with respect to...Ch. 9 - The circuit shown in Fig. P9.53 is operating at a...Ch. 9 - Find Zab in the circuit shown in Fig. P9.52 when...Ch. 9 - Prob. 53PCh. 9 - Use the node-voltage method to find V0 in the...Ch. 9 - Use the node-voltage method to find the phasor...Ch. 9 - PSPICEMULTISIM Use the node-voltage method to find...Ch. 9 - PSPICEMULTISIM Use the node-voltage method to find...Ch. 9 - Use the node-voltage method to find the phasor...Ch. 9 - Prob. 59PCh. 9 - Prob. 60PCh. 9 - Use the mesh-current method to find the...Ch. 9 - Prob. 62PCh. 9 - Prob. 63PCh. 9 - Use the mesh-current method to find the...Ch. 9 - Prob. 65PCh. 9 - Use the concept of current division to find the...Ch. 9 - For the circuit in Fig. P9.67, suppose
What...Ch. 9 - For the circuit in Fig. P9.68, suppose
What...Ch. 9 - Prob. 69PCh. 9 - The 0.5 μF capacitor in the circuit seen in Fig....Ch. 9 - The op amp in the circuit in Fig. P9.69 is...Ch. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Prob. 74PCh. 9 - Prob. 75PCh. 9 - Prob. 76PCh. 9 - The sinusoidal voltage source in the circuit seen...Ch. 9 - A series combination of a 60 Ω resistor and a 50...Ch. 9 - Prob. 79PCh. 9 - Prob. 80PCh. 9 - Prob. 81PCh. 9 - Prob. 82PCh. 9 - Prob. 84PCh. 9 - Prob. 85PCh. 9 - Prob. 87PCh. 9 - Prob. 88PCh. 9 - Prob. 89PCh. 9 - Prob. 90P
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