A balanced three-phase Y connected generator with positive (abc) sequence has an impedance of 1+j2 N/w and an internal voltage of 100 V/9. The generator feeds a balanced three-phase Y-connected load having an impedance of 38+j160/9. The impedance of the line connecting the generator to the load is 1+j20/p. The a-phase internal voltage of the generator is specified as the reference phasor. a) Construct the a-phase equivalent circuit of the system. b) Calculate the line currents laa, Is and lec. c) Calculate the phase voltages Van, VaN, VCn and line voltages Vas, Vec, Vca. d) Calculate the average power and reactive power per phase delivered to the Y-connected load. e) Calculate the total average power, total reactive power and total complex power delivered to the Y- connected load.

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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A balanced three-phase Y connected generator with positive (abc) sequence has an impedance of 1+j2 0/p and
an internal voltage of 100 V/p. The generator feeds a balanced three-phase Y-connected load having an
impedance of 38+j160/9. The impedance of the line connecting the generator to the load is 1+j20/9. The a-phase
internal voltage of the generator is specified as the reference phasor.
a) Construct the a-phase equivalent circuit of the system.
b) Calculate the line currents laa, Ios and lc.
c) Calculate the phase voltages Van, VeN, Van and line voltages VaB, Vec, Vca.
d) Calculate the average power and reactive power per phase delivered to the Y-connected load.
e) Calculate the total average power, total reactive power and total complex power delivered to the Y-
connected load.
Transcribed Image Text:A balanced three-phase Y connected generator with positive (abc) sequence has an impedance of 1+j2 0/p and an internal voltage of 100 V/p. The generator feeds a balanced three-phase Y-connected load having an impedance of 38+j160/9. The impedance of the line connecting the generator to the load is 1+j20/9. The a-phase internal voltage of the generator is specified as the reference phasor. a) Construct the a-phase equivalent circuit of the system. b) Calculate the line currents laa, Ios and lc. c) Calculate the phase voltages Van, VeN, Van and line voltages VaB, Vec, Vca. d) Calculate the average power and reactive power per phase delivered to the Y-connected load. e) Calculate the total average power, total reactive power and total complex power delivered to the Y- connected load.
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