The Y-Y three-phase system shown in the figure has a balanced load and a line impedance Zline = 4+j 20. The line voltage at the generator is 16KV and the total power generated by the generator is 1200 kW, and it is supplying 80 A with lagging power factor. Determine the following: a. The phase voltages of the generator given that the phase sequence is positive sequence (abc sequence). Assume the phase voltage EAN as the reference voltage. b. The power factor of the generator. c. The magnitude and angle of the phase voltage (Van) at the load. d. The impedance of the load of each phase in rectangular form. Y-connected Generator (abc sequence) EAN B Line impedance voo 2002 4 Ω EAB-16 KV 4 Ω www www 4 Ω 20 (2 voo moo 20 Ω Balance Y-Load a V Z₁ an Z₂ 11 an 80 A Lagging Z₁-Z₂-Zs 23

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
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.47P: Two three-phase generators supply a three-phase load through separate three-phase lines. The load...
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The Y-Y three-phase system shown in the figure has a balanced load and a line impedance Zline =4+j 20. The line voltage at the generator is 16KV and the
total power generated by the generator is 1200 kW, and it is supplying 80 A with lagging power factor. Determine the following:
a. The phase voltages of the generator given that the phase sequence is positive sequence (abc sequence). Assume the phase voltage EAN as the reference
voltage.
b. The power factor of the generator.
c. The magnitude and angle of the phase voltage (Van) at the load.
d. The impedance of the load of each phase in rectangular form.
Y-connected
Generator
(abc sequence)
EAN
Line impedance
moo
20 Ω
4 Ω
EAB-16 KV
402
www
www
4 Ω
20 Ω
voo
moo
20 Ω
Balance Y-Load
+
an
a
Z₁
11
an-80 A
Lagging
Z₁ Z₂ Z3
23
Transcribed Image Text:The Y-Y three-phase system shown in the figure has a balanced load and a line impedance Zline =4+j 20. The line voltage at the generator is 16KV and the total power generated by the generator is 1200 kW, and it is supplying 80 A with lagging power factor. Determine the following: a. The phase voltages of the generator given that the phase sequence is positive sequence (abc sequence). Assume the phase voltage EAN as the reference voltage. b. The power factor of the generator. c. The magnitude and angle of the phase voltage (Van) at the load. d. The impedance of the load of each phase in rectangular form. Y-connected Generator (abc sequence) EAN Line impedance moo 20 Ω 4 Ω EAB-16 KV 402 www www 4 Ω 20 Ω voo moo 20 Ω Balance Y-Load + an a Z₁ 11 an-80 A Lagging Z₁ Z₂ Z3 23
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