GATE EE 2016 Set 1 — Question 32
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Power Electronics → DC-DC Converters → Buck Converter
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Question
A buck converter, as shown in Figure (a) below, is working in steady state. The output voltage and the inductor current can be assumed to be ripple free. Figure (b) shows the inductor voltage during a complete switching interval. Assuming all devices are ideal, the duty cycle of the buck converter is ________.
Correct answer
0.39 to 0.41
Solution
In a buck converter operating in steady state, the average voltage across the inductor over one switching cycle must be zero due to the inductor volt-second balance principle:From the waveform in Figure (b):
- During , .
- During , .
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