A factory has a large induction heater operating at 1000 V, 50Hz. The current flowing into the heater is 12.33 A RMS and the true power is 10 kW b) Calculate the reactive power, apparent power and the power factor (PF) for this load. c) If the PF is lower than 0.9, explain the problem from an electrical perspective then calculate how this load could be balanced practically. d) Draw a diagram to illustrate where the capacitor needs to be placed and what has happened to the reactive current that was originally flowing from the inductive load back to the supplier? What are the specifications for this capacitor? What would such a capacitor cost? Who could supply this type of component?

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
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Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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A factory has a large induction heater operating at 1000 V, 50Hz. The current flowing into
the heater is 12.33 A RMS and the true power is 10 kW

b) Calculate the reactive power, apparent power and the power factor (PF) for this load.
c) If the PF is lower than 0.9, explain the problem from an electrical perspective then
calculate how this load could be balanced practically.
d) Draw a diagram to illustrate where the capacitor needs to be placed and what has
happened to the reactive current that was originally flowing from the inductive load back
to the supplier? What are the specifications for this capacitor? What would such a
capacitor cost? Who could supply this type of component?

 

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What would be the same results of this quesiton if the circuit was single phase 1000v? Thank you.

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