A 100-MVA, 20-kV synchronous generator is connected through a transmission line to a 100- MVA, 20-kV synchronous motor. The per unit transient reactances of the generator and motor are 0.25 and 0.20, respectively. The line reactance on the base of 100 MVA is 0.1 per unit. The motor is taking 50 MW at 0.8 power factor leading at a terminal voltage of 20 kV. A three-phase short circuit occurs at the generator terminals. Determine the transient currents in each of the two machines and in the short circuit.

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
Chapter7: Symmetrical Faults
Section: Chapter Questions
Problem 7.6P
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A 100-MVA, 20-kV synchronous generator is connected through a transmission line to a 100-
MVA, 20-kV synchronous motor. The per unit transient reactances of the generator and motor
are 0.25 and 0.20, respectively. The line reactance on the base of 100 MVA is 0.1 per unit. The
motor is taking 50 MW at 0.8 power factor leading at a terminal voltage of 20 kV.
A three-phase short circuit occurs at the generator terminals. Determine the transient
currents in each of the two machines and in the short circuit.
Transcribed Image Text:A 100-MVA, 20-kV synchronous generator is connected through a transmission line to a 100- MVA, 20-kV synchronous motor. The per unit transient reactances of the generator and motor are 0.25 and 0.20, respectively. The line reactance on the base of 100 MVA is 0.1 per unit. The motor is taking 50 MW at 0.8 power factor leading at a terminal voltage of 20 kV. A three-phase short circuit occurs at the generator terminals. Determine the transient currents in each of the two machines and in the short circuit.
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