GATE EE 2020 Set 1 — Question 60
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Power Electronics → DC-DC Converters → Buck-Boost Converter
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Question
In the dc-dc converter circuit shown, switch Q is switched at a frequency of with a duty ratio of . All components of the circuit are ideal, and the initial current in the inductor is zero. Energy stored in the inductor in mJ (rounded off to 2 decimal places) at the end of 10 complete switching cycles is ________.

Correct answer
4.95 to 5.05
Solution
Given:
Frequency
Duty ratio
Inductance
Source voltage , Output voltage This is a buck-boost converter.
During , the inductor is connected across the source:
During , the inductor is connected across the load:
Net change in current per cycle .
After 10 cycles, the final current .Energy stored .
Frequency
Duty ratio
Inductance
Source voltage , Output voltage This is a buck-boost converter.
During , the inductor is connected across the source:
During , the inductor is connected across the load:
Net change in current per cycle .
After 10 cycles, the final current .Energy stored .
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