Problem Two balanced three-phase motors in parallel, an induction motor drawing 400 kW at 0.80 power factor lagging and a synchronous motor drawing 150 kVA at 0.90 power factor leading, are supplied by a balanced, three-phase 4160-volt source. Cable impedances between the source and load are neglected. (a) Draw the power triangle for each motor and for the combined-motor load. (b) Determine the power factor of the combined-motor load. (c) Determine the magnitude of the line current delivered by the source.

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Author:Robert L. Boylestad
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Problem
Two balanced three-phase motors in parallel, an induction motor
drawing 400 kW at 0.80 power factor lagging and a synchronous
motor drawing 150 kVA at 0.90 power factor leading, are supplied
by a balanced, three-phase 4160-volt source. Cable impedances
between the source and load are neglected. (a) Draw the power
triangle for each motor and for the combined-motor load. (b)
Determine the power factor of the combined-motor load. (c)
Determine the magnitude of the line current delivered by the
source.
Transcribed Image Text:Problem Two balanced three-phase motors in parallel, an induction motor drawing 400 kW at 0.80 power factor lagging and a synchronous motor drawing 150 kVA at 0.90 power factor leading, are supplied by a balanced, three-phase 4160-volt source. Cable impedances between the source and load are neglected. (a) Draw the power triangle for each motor and for the combined-motor load. (b) Determine the power factor of the combined-motor load. (c) Determine the magnitude of the line current delivered by the source.
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