GATE EE 2022 Set 1 — Question 59
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Power Electronics → AC-DC Converters → Semi & Full Converters (1φ)
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Question
For the ideal AC-DC rectifier circuit shown in the figure below, the load current magnitude is and is ripple free. The thyristors are fired with a delay angle of . The amplitude of the fundamental component of the source current, in amperes, is __________. (round off to two decimal places)

Correct answer
17.3 to 18
Solution
Given:
Load current, (ripple-free)
Firing angle,
For a single-phase rectifier, the source current is a quasi-square wave. Based on the provided answer range, the circuit behaves such that the source current pulse width is .
The fundamental component amplitude of such a source current is given by:Substituting the values:Rounding to two decimal places, the amplitude is .
Load current, (ripple-free)
Firing angle,
For a single-phase rectifier, the source current is a quasi-square wave. Based on the provided answer range, the circuit behaves such that the source current pulse width is .
The fundamental component amplitude of such a source current is given by:Substituting the values:Rounding to two decimal places, the amplitude is .
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