EBK ELECTRIC CIRCUITS
10th Edition
ISBN: 9780100801790
Author: Riedel
Publisher: YUZU
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Chapter 16, Problem 42P
a.
To determine
Derive the Fourier coefficients for the given periodic current.
b.
To determine
Write the first four nonzero terms in the Fourier series in the required form.
c.
To determine
Calculate the rms value of the current using the first four nonzero terms of Fourier series.
d.
To determine
Calculate the exact rms value of the current
e.
To determine
Calculate the percentage of error in the estimated rms value.
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Please, I want the solve to the two questions, with a drawing of the equivalent circuit in the case of dc and in the case of small signal.
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
Chapter 16 Solutions
EBK ELECTRIC CIRCUITS
Ch. 16.2 - Objective 1–Be able to calculate the trigonometric...Ch. 16.2 - Prob. 2APCh. 16.3 - Derive the Fourier series for the periodic voltage...Ch. 16.4 - Compute A1 – A5 and θ1 – θ5 for the periodic...Ch. 16.5 - The periodic triangular-wave voltage seen on the...Ch. 16.5 - The periodic square-wave shown on the top is...Ch. 16.6 - a. 16.7 The periodic voltage function in...Ch. 16.8 - Derive the expression for the Fourier coefficients...Ch. 16.8 - Calculate the rms value of the periodic current in...Ch. 16.9 - Prob. 10AP
Ch. 16 - Prob. 1PCh. 16 - Find the Fourier series expressions for the...Ch. 16 - Prob. 3PCh. 16 - Prob. 4PCh. 16 - Prob. 5PCh. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - Prob. 8PCh. 16 - Prob. 9PCh. 16 - Prob. 10PCh. 16 - Prob. 11PCh. 16 - Prob. 13PCh. 16 - Prob. 14PCh. 16 - Prob. 15PCh. 16 - Prob. 16PCh. 16 - Prob. 17PCh. 16 - Prob. 18PCh. 16 - Prob. 20PCh. 16 - Prob. 21PCh. 16 - Derive the Fourier series for the periodic...Ch. 16 - Prob. 23PCh. 16 - Prob. 24PCh. 16 - Prob. 25PCh. 16 -
Show that for large values of C Eq. 16.24 can be...Ch. 16 - Prob. 29PCh. 16 - Prob. 30PCh. 16 - Prob. 32PCh. 16 - Prob. 33PCh. 16 - Prob. 34PCh. 16 - The triangular-wave voltage source, shown in Fig....Ch. 16 - Prob. 36PCh. 16 -
Find the rms value of the voltage shown in Fig....Ch. 16 - Prob. 38PCh. 16 -
Estimate the rms value of the periodic...Ch. 16 -
Estimate the rms value of the full-wave rectified...Ch. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - Prob. 43PCh. 16 - Prob. 44PCh. 16 - Prob. 45PCh. 16 - Prob. 46PCh. 16 - Prob. 48PCh. 16 - Make an amplitude and phase plot, based on Eq....Ch. 16 - Prob. 50PCh. 16 - Prob. 51PCh. 16 - Prob. 52PCh. 16 - Prob. 53PCh. 16 - Prob. 54PCh. 16 - Prob. 55PCh. 16 - Prob. 57P
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- 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.arrow_forwardDon't use ai to answer I will report you answerarrow_forwardDon't use ai to answer I will report you answer.arrow_forward
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