GATE EE 2015 Set 2 — Question 41
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Power Electronics → DC-DC Converters → Buck Converter
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Question
A buck converter feeding a variable resistive load is shown in the figure. The switching frequency of the switch is and the duty ratio is . The output voltage is . Assume that all the components are ideal, and that the output voltage is ripple-free. The value of (in Ohm) that will make the inductor current () just continuous is ______.
Correct answer
2480 to 2520
Solution
For a buck converter, the relationship between output voltage and input voltage is:The peak-to-peak inductor current ripple is given by:For the inductor current to be just continuous, the average inductor current (which equals the load current ) must be equal to half of the peak-to-peak ripple:Solving for the critical resistance :Given , , and :The answer is 2500, which is within the range 2480 to 2520.
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