GATE EE 2026 Set 1 — Question 47
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Power Electronics → Inverters → VSI (1φ, 3φ)
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Question
Consider the single-phase voltage source inverter circuit feeding an inductive load (). Assume that the power MOSFET switches are ideal. and are switched on during the first , and and are switched on during the next in a switching cycle. The switches in the same leg are thus switched in a complementary fashion. Neglect the dead time. The waveform of the inductor current () in the steady state is triangular with a peak value of as shown.
The rms value of the current through the switch is:
Correct answer
(B) 2.04 A
Solution
When and are on, the inductor current flows through ; when and are on, it flows through them and .Step 1 - read the waveformThe switching period is , and conducts during , in which interval rises linearly from A to A:Step 2 - set up the rms integral over the full periodStep 3 - evaluateSubstituting (so and runs from to ):Equivalently: the rms of the full triangle of peak 5 A is A, and conducting for only half the period divides the mean square by 2, giving A - so option (A) is the value for continuous conduction and (C), (D) do not arise.Answer: (B) A
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