Problem To convert the power factor to 0.95 lagging, (given a load requiring 40kW with a power factor of 0.84 lagging, a load voltage of 220 Vrms at 60Hz, and a transmission line impedance of 0.1+j0.25 ohms), calculate the capacitance required.

Problem To convert the power factor to 0.95 lagging, (given a load requiring 40kW with a power factor of 0.84 lagging, a load voltage of 220 Vrms at 60Hz, and a transmission line impedance of 0.1+j0.25 ohms), calculate the capacitance required.

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 2.27P: An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8...

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Question

Problem To convert the power factor to 0.95 lagging, (given a load requiring 40kW
with a power factor of 0.84 lagging, a load voltage of 220 Vrms at 60Hz, and a
transmission line impedance of 0.1+j0.25 ohms), calculate the capacitance required.
Answer
C=773μF

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Step 1: Conversion of Power Factor to 0.95 Lagging

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Step 2: Calculating the Current Associated with the Load

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Step 3: Calculating the Reactive Power

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Step 4: Calculating the Reactive Power After Correction & Determining Reactive Power Supplied by Capacitor

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Step 5: Calculating the Capacitance Required

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