Engineering Circuit Analysis
9th Edition
ISBN: 9780073545516
Author: Hayt, William H. (william Hart), Jr, Kemmerly, Jack E. (jack Ellsworth), Durbin, Steven M.
Publisher: Mcgraw-hill Education,
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Chapter 12, Problem 16E
Consider a simple positive phase sequence, three-phase, three-wire system operated at 50 Hz and with a balanced load. Each phase voltage of 240 V is connected across a load composed of a series-connected 50 Ω and 500 mH combination. Calculate (a) each line current; (b) the power factor of the load; (c) the total power supplied by the three-phase source.
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The Figure shows a balanced Y-A 3Ø circuit. The phase voltages of the Y-connected source are V, = 11020°,
V, = 1102 - 120° and V. = 1102120°, Volts. The line impdedances are Z,=10+j5 Q each. The impedances of
the A-connected load are ZA = 75+j255 N each.
Determine: Line Currents, Phase Currents (load), Power drawn by the load.
Ve
ZA
Vb
In Figure 1, the 3-phase source has a line-to-line voltage of 440 volts. The
details of the impedances are the following: Z₁ = 36-j15; Z₂ = 40 +
130 0; Z₂ = 45+j600; Z4 = 75 + j0; Z5 = 50+j50 ; Z6 = 20+ j48.
Determine the following:
(a) Line currents: labi, and I
(c) Line currents: lar Ibr, and ICT;
(b) Line currents: Iaz, Ibz, and Iczi
(d) PT, QT, ST, and pfr for the system;
(e) W, and W, readings for 2-wattmeter method at lines a and b.
Balanced
3-Phase
ab-bc-ca
source
CH
Figure 1
→laT
-Ibr
-ICT
1
lal
²3
1
Ibl
1
Ici
→la2
lb2
→1c2
25
1²₂
OND
Three single-phase transformers (ideal) are connected as shown in the figure below to supply a balanced
3-phase, 150 KVA, 600 Vu. load from primary 4.16 kVu. line.
H1
X1
H2
X2
BALLANCED
THREEPHASE
LOAD
H1
X1
H2
X2
H1
X1
(a) Draw (neatly) a phasor diagram showing the three, primary line-to-line voltages and the six
secondary phase and line voltages. What is the phase relationship between the primary voltage
VAn and the secondary voltage V12? Indicate on the phasor diagram.
(b) Determine the apparent power rating of each single-phase transformer required for this
application.
(c) Determine the nameplate voltage ratings of cach single-phase transformer required for this
application.
(d) Determine the primary (HV) coil and line currents (magnitudes only) when the 3-ph transformer
bank is delivering 120 kVA at 575 Vu.
Chapter 12 Solutions
Engineering Circuit Analysis
Ch. 12.1 - Let and . Find (a) Vad; (b) Vbc; (c) Vcd.Ch. 12.2 - Prob. 2PCh. 12.2 - Modify Fig. 12.9 by adding a 1.5 resistance to...Ch. 12.3 - A balanced three-phase three-wire system has a...Ch. 12.3 - A balanced three-phase three-wire system has a...Ch. 12.3 - Three balanced Y-connected loads are installed on...Ch. 12.4 - Each phase of a balanced three-phase -connected...Ch. 12.4 - Prob. 8PCh. 12.5 - Determine the wattmeter reading in Fig. 12.24,...Ch. 12.5 - Prob. 10P
Ch. 12 - Prob. 1ECh. 12 - Prob. 2ECh. 12 - Prob. 3ECh. 12 - Describe what is meant by a polyphase source,...Ch. 12 - Prob. 5ECh. 12 - Prob. 6ECh. 12 - Prob. 7ECh. 12 - Prob. 8ECh. 12 - Prob. 9ECh. 12 - Prob. 10ECh. 12 - The single-phase three-wire system of Fig. 12.31...Ch. 12 - Prob. 12ECh. 12 - Referring to the balanced load represented in Fig....Ch. 12 - Prob. 14ECh. 12 - Prob. 15ECh. 12 - Consider a simple positive phase sequence,...Ch. 12 - Assume the system shown in Fig. 12.34 is balanced,...Ch. 12 - Repeat Exercise 17 with Rw = 10 , and verify your...Ch. 12 - Prob. 19ECh. 12 - Prob. 20ECh. 12 - Prob. 21ECh. 12 - Prob. 22ECh. 12 - A three-phase system is constructed from a...Ch. 12 - Prob. 24ECh. 12 - Each load in the circuit of Fig. 12.34 is composed...Ch. 12 - Prob. 26ECh. 12 - Prob. 27ECh. 12 - A three-phase load is to be powered by a...Ch. 12 - For the two situations described in Exercise 28,...Ch. 12 - Prob. 30ECh. 12 - Prob. 31ECh. 12 - Prob. 32ECh. 12 - Repeat Exercise 32 if Rw = 1 . Verify your...Ch. 12 - Prob. 34ECh. 12 - Prob. 35ECh. 12 - Prob. 36ECh. 12 - A wattmeter is connected into the circuit of Fig....Ch. 12 - Find the reading of the wattmeter connected in the...Ch. 12 - (a) Find both wattmeter readings in Fig. 12.39 if...Ch. 12 - Circuit values for Fig. 12.40 are , , , , . Find...Ch. 12 - Prob. 41ECh. 12 - Prob. 42ECh. 12 - (a) Is the load represented in Fig. 12.41...Ch. 12 - Prob. 44E
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