GATE EE 2014 Set 3 — Question 49
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Electric Circuits → AC Power & Three-Phase → Power Factor & Correction
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Question
The load shown in the figure absorbs kW at a power factor of lagging.
Assuming the transformer to be ideal, the value of the reactance X to improve the input power factor to unity is ___________.
Correct answer
23 to 24
Solution
Given:
Load power kW W
Power factor lagging
Secondary voltage V
Transformer ratio
VAR
The value of the reactance is approximately .
Load power kW W
Power factor lagging
Secondary voltage V
Transformer ratio
1.Calculate primary voltage :
V2.Calculate reactive power of the load :
VAR
3.For unity input power factor, the reactance must compensate for the reactive power of the load (referred to the primary side). Since the transformer is ideal, and are the same on the primary side.
VAR4.Calculate reactance :
The value of the reactance is approximately .
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