GATE EE 2022 Set 1 — Question 61
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Power Electronics → DC-DC Converters → Buck-Boost Converter
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Question
The steady state current flowing through the inductor of a DC-DC buck boost converter is given in the figure below. If the peak-to-peak ripple in the output voltage of the converter is 1 V, then the value of the output capacitor, in µF, is _______________. (round off to nearest integer)
Correct answer
165 to 171
Solution
From the given inductor current waveform:
.During the ON period (), the output capacitor supplies the entire load current. The peak-to-peak output voltage ripple () is given by:
Given :
.Rounding to the nearest integer, the value is 168.
1.The current increases from 12 A to 16 A during the ON time, so .
2.The current decreases from 16 A to 12 A during the OFF time, so .
3.Total time period .
4.Duty cycle .
5.Average inductor current .
In a buck-boost converter, the relationship between average output current () and average inductor current () is:.During the ON period (), the output capacitor supplies the entire load current. The peak-to-peak output voltage ripple () is given by:
Given :
.Rounding to the nearest integer, the value is 168.
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