GATE EE 2019 Set 1 — Question 47
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Power Electronics → DC-DC Converters → Buck Converter
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Question
A DC-DC buck converter operates in continuous conduction mode. It has 48 V input voltage, and it feeds a resistive load of . The switching frequency of the converter is 250 Hz. If switch-on duration is 1 ms, the load power is
Solution
Given: V, , Hz, ms.Switching period and duty ratioThe stem does not say whether the converter has an output filter, and the load power depends on that, so two readings are accepted.Reading 1: buck converter with its LC filter (CCM, small ripple). The inductor in continuous conduction carries an almost constant current, so the load sees the average voltage:This is option (A).Reading 2: the resistive load is chopped directly (no filter). The load voltage is a pulse train of V for ms out of every ms, so the power must be computed from its rms value:This is option (C).Because the circuit is not specified, both (A) 6 W and (C) 24 W are accepted as correct.
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