An industrial load uses 310-kVA at 0.6 pf lagging. A synchronous motor is added to the system to improve the power factor. The power required by the synchronous motor is 31-kW. (i)What is the complex power required by the load (P + jQ)[kVA] If the motor is added to the load to bring the power factor up to 0.9 pf lagging, then: (ii)What is the complex power now required by the load (at the new pf) (P+ jQ)[kVA] (iii)This means that the motor has a reactive power of (-Qm)[kVAR]

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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An industrial load uses 310-kVA at 0.6 pf lagging. A synchronous motor is added to the system to improve the power factor. The power required by the synchronous motor is 31-kW.

(i)What is the complex power required by the load (P + jQ)[kVA]

If the motor is added to the load to bring the power factor up to 0.9 pf lagging, then:

(ii)What is the complex power now required by the load (at the new pf) (P+ jQ)[kVA]

(iii)This means that the motor has a reactive power of (-Qm)[kVAR]

and is operating at:

(iv) a power factor of:

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