GATE EE 2016 Set 2 — Question 57
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Power Electronics → DC-DC Converters → Boost Converter
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Question
A DC-DC boost converter, as shown in the figure below, is used to boost to , at a power of . All devices are ideal. Considering continuous inductor current, the rms current in the solid state switch (S), in ampere, is _________.
Correct answer
3 to 4
Solution
For a boost converter, the relationship between output voltage () and input voltage () is:Given and :The output power is . Since the converter is ideal, input power equals output power:In a boost converter with continuous inductor current, the average inductor current is equal to the average input current :The switch current is equal to when the switch is closed (for duration ) and zero when it is open. The RMS value of the switch current is:Rounding to one decimal place, the value is approximately .
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