A Generator 480 V 480/14,400 V 1000 kVA R = 0.010 pu X = 0.040 pu FIGURE P2-4 Line Load 1 Load 2 Z₁ = 1.5+j 10 14,400/480 V 500 kVA R = 0.020 pu X = 0.085 pu ZLoad 1 = 0.45236.87°Ω Y-connected ZLoad 2= -j 0.802 Y-connected A one-line diagram of the power system of Problem 2-24. Note that some impedance values are given in the per-unit system, while others are given in ohms. (a) Sketch the per-phase equivalent circuit of this power system. (b) With the switch opened, find the real power P, reactive power Q, and apparent power S supplied by the generator. What is the power factor of the generator? (c) With the switch closed, find the real power P, reactive power Q, and apparent power S supplied by the generator. What is the power factor of the generator? (d) What are the transmission losses (transformer plus transmission line losses) in this system with the switch open? With the switch closed? What is the effect of adding Load 2 to the system? (d) Answer the questions 2-24. Figure P2-4 shows a one-line diagram of a power system consisting of a three- phase, 480-V, 60-Hz generator supplying two loads through a transmission line with a pair of transformers at either end. (NOTE: One-line diagrams are described in Appendix A, the discussion of three-phase power circuits.)

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.56P: Three single-phase two-winding transformers, each rated 3kVA,220/110volts,60Hz, with a 0.10 per-unit...
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Fundamentals Of Energy Systems HW 6 Q6

A
Generator
480 V
480/14,400 V
1000 kVA
R = 0.010 pu
X = 0.040 pu
FIGURE P2-4
Line
Load 1
Load 2
Z₁ = 1.5+j 10
14,400/480 V
500 kVA
R = 0.020 pu
X = 0.085 pu
ZLoad 1 =
0.45236.87°Ω
Y-connected
ZLoad 2=
-j 0.802
Y-connected
A one-line diagram of the power system of Problem 2-24. Note that some impedance values are
given in the per-unit system, while others are given in ohms.
(a) Sketch the per-phase equivalent circuit of this power system.
(b) With the switch opened, find the real power P, reactive power Q, and apparent
power S supplied by the generator. What is the power factor of the generator?
(c) With the switch closed, find the real power P, reactive power Q, and apparent
power S supplied by the generator. What is the power factor of the generator?
(d) What are the transmission losses (transformer plus transmission line losses) in
this system with the switch open? With the switch closed? What is the effect of
adding Load 2 to the system?
Transcribed Image Text:A Generator 480 V 480/14,400 V 1000 kVA R = 0.010 pu X = 0.040 pu FIGURE P2-4 Line Load 1 Load 2 Z₁ = 1.5+j 10 14,400/480 V 500 kVA R = 0.020 pu X = 0.085 pu ZLoad 1 = 0.45236.87°Ω Y-connected ZLoad 2= -j 0.802 Y-connected A one-line diagram of the power system of Problem 2-24. Note that some impedance values are given in the per-unit system, while others are given in ohms. (a) Sketch the per-phase equivalent circuit of this power system. (b) With the switch opened, find the real power P, reactive power Q, and apparent power S supplied by the generator. What is the power factor of the generator? (c) With the switch closed, find the real power P, reactive power Q, and apparent power S supplied by the generator. What is the power factor of the generator? (d) What are the transmission losses (transformer plus transmission line losses) in this system with the switch open? With the switch closed? What is the effect of adding Load 2 to the system?
(d) Answer the questions
2-24. Figure P2-4 shows a one-line diagram of a power system consisting of a three-
phase, 480-V, 60-Hz generator supplying two loads through a transmission line with
a pair of transformers at either end. (NOTE: One-line diagrams are described in
Appendix A, the discussion of three-phase power circuits.)
Transcribed Image Text:(d) Answer the questions 2-24. Figure P2-4 shows a one-line diagram of a power system consisting of a three- phase, 480-V, 60-Hz generator supplying two loads through a transmission line with a pair of transformers at either end. (NOTE: One-line diagrams are described in Appendix A, the discussion of three-phase power circuits.)
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