Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Chapter 13, Problem 2E
With respect to Fig. 13.36, assume L1 = 500 mH, L2 = 250 mH, and M = 20 mH. Determine the steady-state expression for (a) v1 if i1 = 0 and i2 = 3 cos 80t A; (b) v2 if i1 = 4 cos (30t − 15°) A and i2 = 0. (c) Repeat parts (a) and (b) if M is increased to 200 mH.
FIGURE 13.36
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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
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A
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Fig. 1
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Chapter 13 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 13.1 - Assuming M = 10 H, coil L2 is open-circuited, and...Ch. 13.1 - For the circuit of Fig. 13.9, write appropriate...Ch. 13.1 - For the circuit of Fig. 13.11, write an...Ch. 13.2 - Let is = 2 cos 10t A in the circuit of Fig. 13.14,...Ch. 13.3 - Element values for a certain linear transformer...Ch. 13.3 - (a) If the two networks shown in Fig. 13.20 are...Ch. 13.3 - If the networks in Fig. 13.23 are equivalent,...Ch. 13.4 - Prob. 8PCh. 13.4 - Let N1 = 1000 turns and N2 = 5000 turns in the...Ch. 13 - Prob. 1E
Ch. 13 - With respect to Fig. 13.36, assume L1 = 500 mH, L2...Ch. 13 - The circuit in Fig. 13.36 has a sinusoidal input...Ch. 13 - Prob. 4ECh. 13 - Prob. 5ECh. 13 - The circuit in Fig. 13.38 has a sinusoidal input...Ch. 13 - The physical construction of three pairs of...Ch. 13 - Prob. 8ECh. 13 - Prob. 9ECh. 13 - Calculate v1 and v2 if i1 = 5 sin 40t mA and i2 =...Ch. 13 - Prob. 11ECh. 13 - For the circuit of Fig. 13.41, calculate I1, I2,...Ch. 13 - Prob. 13ECh. 13 - Prob. 14ECh. 13 - In the circuit of Fig. 13.43, M is reduced by an...Ch. 13 - Prob. 16ECh. 13 - Prob. 17ECh. 13 - Prob. 18ECh. 13 - Prob. 19ECh. 13 - Note that there is no mutual coupling between the...Ch. 13 - Prob. 21ECh. 13 - (a) Find Zin(j) for the network of Fig 13.50. (b)...Ch. 13 - For the coupled coils of Fig. 13.51, L1 = L2 = 10...Ch. 13 - Prob. 24ECh. 13 - Prob. 25ECh. 13 - Prob. 26ECh. 13 - Consider the circuit represented in Fig. 13.53....Ch. 13 - Compute v1, v2, and the average power delivered to...Ch. 13 - Assume the following values for the circuit...Ch. 13 - Prob. 30ECh. 13 - Prob. 31ECh. 13 - Prob. 32ECh. 13 - Prob. 33ECh. 13 - Prob. 34ECh. 13 - Prob. 35ECh. 13 - Prob. 36ECh. 13 - Prob. 37ECh. 13 - FIGURE 13.60 For the circuit of Fig. 13.60, redraw...Ch. 13 - Prob. 39ECh. 13 - Prob. 40ECh. 13 - Calculate the average power delivered to the 400 m...Ch. 13 - Prob. 42ECh. 13 - Calculate the average power delivered to each...Ch. 13 - Prob. 44ECh. 13 - Prob. 45ECh. 13 - Prob. 46ECh. 13 - Prob. 47ECh. 13 - Prob. 48ECh. 13 - A transformer whose nameplate reads 2300/230 V, 25...Ch. 13 - Prob. 52ECh. 13 - As the lead singer in the local rock band, you...Ch. 13 - Obtain an expression for V2/Vs in the circuit of...Ch. 13 - Prob. 55E
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