GATE EE 2025 Set 1 — Question 27
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Power Electronics → AC-DC Converters → Displacement & Distortion Factors
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Question
The input voltage and current of a converter are given by,
where, rad/s. The input power factor of the converter is closest to
where, rad/s. The input power factor of the converter is closest to
Correct answer
(A) 0.845
Solution
The input power factor () is defined as:
Given , the RMS voltage is .
Since the voltage only has a fundamental component, only the fundamental component of current contributes to active power:
The total RMS current is:
Now,
The closest option is 0.845.
Given , the RMS voltage is .
Since the voltage only has a fundamental component, only the fundamental component of current contributes to active power:
The total RMS current is:
Now,
The closest option is 0.845.
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