Answered: The load at a certain factory consists…

The load at a certain factory consists of the following: 10 kW, pf = 0.6 lagging 15 kW, rf = 0.5 lagging 25 kVA, pf = 0.75 lagging 15 kVAR, pf = 0.8 lagging

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 2.24P: A source supplies power to the following three loads connected in parallel: (1) a lighting load...

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Concept explainers

Synchronous Motor

The synchronous motor is an AC electric type motor where at a steady-state the shaft rotation is synchronized with the supply current variable-frequency. To an integral number of AC cycles, the rotation period is exactly equal. The stator of the motor in the synchronous motor contains multi-phase AC electromagnets due to which a magnetic field is created that rotates in time with the oscillation of the line current. The rotor contains a permanent magnet and the rotor rotates in synchronization with the stator field at the same rate and provides the second synchronized magnetic field which is rotating in nature as a result. When the synchronous motor is supplied with independently excited multi-phase AC electromagnets on both the rotor and the stator, it is termed as a doubly-fed machine. The most widely used AC-type motors are the synchronous AC motor and the induction AC motors.

Question

The load at a certain factory consists of the following:
10 kW, pf = 0.6 lagging
15 kW, rf = 0.5 lagging
25 kVA, pf = 0.75 lagging
15 kVAR, pf = 0.8 lagging
22 kW
5 kVAR, pure inductance

1. Determine the total true power, total reactive power, and total apparent power and power factor.

2. The power factor is to be corrected to 0.95 lagging. Determine the kVAR rating of pure capacitors needed to accomplish this.

3. If a synchronous motor is to be used instead, determine the real power rating of this motor if its power factor is 0.6 leading.

4. If resistive heating units were used instead, determine the real power rating of these devices.

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