A 200V, 50 Hz single-phase supply feeds the following loads : a) Fluorescent lamps taking a current of 8A at a power factor of 0.9 leading b) Incandescent lamps taking a current of 6A at unity power factor c) A motor taking a current of 12A at a power factor of 0.65 lagging. Determine the total current taken from the supply and the overall power factor. Find also the value of a static capacitor connected in parallel with the loads to improve the overall power factor to 0.98 lagging (21.74A, 0.966 lagging, 21.7μF) (Solution must be accompanied with phasor diagram)

A 200V, 50 Hz single-phase supply feeds the following loads : a) Fluorescent lamps taking a current of 8A at a power factor of 0.9 leading b) Incandescent lamps taking a current of 6A at unity power factor c) A motor taking a current of 12A at a power factor of 0.65 lagging. Determine the total current taken from the supply and the overall power factor. Find also the value of a static capacitor connected in parallel with the loads to improve the overall power factor to 0.98 lagging (21.74A, 0.966 lagging, 21.7μF) (Solution must be accompanied with phasor diagram)

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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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

A 200V, 50 Hz single-phase supply feeds the following loads:
a) Fluorescent lamps taking a current of 8A at a power factor of 0.9 leading
b) Incandescent lamps taking a current of 6A at unity power factor
c) A motor taking a current of 12A at a power factor of 0.65 lagging.
Determine the total current taken from the supply and the overall power factor. Find also the value of
a static capacitor connected in parallel with the loads to improve the overall power factor to 0.98
lagging
(21.74A, 0.966 lagging, 21.7μF)
(Solution must be accompanied with phasor diagram)

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