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
In a single-phase full-bridge voltage source inverter, when switches and are turned on, the inductor current flows through them. When and are turned on, flows through them and .From the given waveform, the switching period is .
and are ON for .
During this interval, the inductor current increases linearly from to .The current through switch is:The RMS value of is calculated as:Let , then . When ; when .Rounding to two decimal places, we get .Therefore, the correct option is (B).
and are ON for .
During this interval, the inductor current increases linearly from to .The current through switch is:The RMS value of is calculated as:Let , then . When ; when .Rounding to two decimal places, we get .Therefore, the correct option is (B).
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