A 50 kW induction motor is operated at a lagging power factor of 0.8, the source voltage being 230 V rms. a) Find the complex power Sm that this motor is using. b) In order to get lower electricity bill it is desired to connect a parallel compensator to the motor so as to get pf=0.95 lagging and still provide the 50kW real power for the motor. Determine the total complex power S7= Sm+ Sc that will achieve the desired pf, where Sc is the power of the compensator c) Determine the complex power Sc of the compensator and the value of the parallel compensator impedance. What type of circuit element should be the compensator?

A 50 kW induction motor is operated at a lagging power factor of 0.8, the source voltage being 230 V rms. a) Find the complex power Sm that this motor is using. b) In order to get lower electricity bill it is desired to connect a parallel compensator to the motor so as to get pf=0.95 lagging and still provide the 50kW real power for the motor. Determine the total complex power S7= Sm+ Sc that will achieve the desired pf, where Sc is the power of the compensator c) Determine the complex power Sc of the compensator and the value of the parallel compensator impedance. What type of circuit element should be the compensator?

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 2.21P: An industrial plant consisting primarily of induction motor loads absorbs 500 kW at 0.6 power factor...

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