A generator supplies a motor rated to 10 kW with a power factor of 0.866 lagging at 110V and 60Hz over a power line with an impedance of 907.5 + j500 m2. A compensating impedance is added in parallel to the motor. What is the required impeandace of the capacitor to draw maximum power from the generator? What is the impedance needed to bring the power factor to 1?

A generator supplies a motor rated to 10 kW with a power factor of 0.866 lagging at 110V and 60Hz over a power line with an impedance of 907.5 + j500 m2. A compensating impedance is added in parallel to the motor. What is the required impeandace of the capacitor to draw maximum power from the generator? What is the impedance needed to bring the power factor to 1?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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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 generator supplies a motor rated to 10 kW with a power factor of 0.866 lagging at 110V and 60Hz over a
power line with an impedance of 907.5 + j500 m2. A compensating impedance is added in parallel to the
motor. What is the required impeandace of the capacitor to draw maximum power from the generator?
What is the impedance needed to bring the power factor to 1?

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Step 1: Summarize the given data.

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Step 2: Determine motor impedance.

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Step 3: Determine capacitive impedance for maximum power from generator.

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Step 4: Determine capacitive reactance to increase motor power factor to unity.

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