A 3-phase transmission line having a capacity of 10,000KVA serves as a balanced load that draws 5,000kW at a lagging power factor such that the transmission line is loaded to its capacity. An additional load of induction motors operating at an average pf of 0.80 is connected to the line. In order to make use of the line to its full capacity in active power, a synchronous condenser having losses of 300kW will be connected to the line. What is the kVA rating of the synchronous motor required? Draw the Phasor Diagram for Synchronous Motor

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 2.43P: A three-phase line, which has an impedance of (2+j4) per phase, feeds two balanced three-phase loads...
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A 3-phase transmission line having a capacity of 10,000KVA
serves as a balanced load that draws 5,000kW at a lagging
power factor such that the transmission line is loaded to its
capacity. An additional load of induction motors operating at an
average pf of 0.80 is connected to the line. In order to make use
of the line to its full capacity in active power, a synchronous
condenser having losses of 300kW will be connected to the line.
What is the kVA rating of the synchronous motor required?
Draw the Phasor Diagram for Synchronous Motor.
Transcribed Image Text:A 3-phase transmission line having a capacity of 10,000KVA serves as a balanced load that draws 5,000kW at a lagging power factor such that the transmission line is loaded to its capacity. An additional load of induction motors operating at an average pf of 0.80 is connected to the line. In order to make use of the line to its full capacity in active power, a synchronous condenser having losses of 300kW will be connected to the line. What is the kVA rating of the synchronous motor required? Draw the Phasor Diagram for Synchronous Motor.
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