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
In the bridge shown, the two upper devices are thyristors and the two lower devices are diodes, so it is a single-phase half-controlled (semi) converter feeding a ripple-free load current A with firing angle .From to the load current freewheels through the thyristor-diode pair of the same leg, so the source current is zero in that interval. The source then carries from to , and from to .Fundamental Fourier coefficients of this source-current waveform:The amplitude of the fundamental component is thereforeSubstituting A and :Answer: 17.64 A
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