GATE EE 2015 Set 2 — Question 52
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Power Electronics → DC-DC Converters → Duty Ratio & Efficiency
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Question
For the switching converter shown in the following figure, assume steady-state operation. Also assume that the components are ideal, the inductor current is always positive and continuous and switching period is . If the voltage is as shown, the duty cycle of the switch is ______.
Correct answer
0.75 to 0.75
Solution
In steady-state operation, the average voltage across the inductor over one switching period must be zero according to the volt-second balance principle:From the given waveform of :
- V for the duration (when the switch is ON).
- V for the duration (when the switch is OFF).
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