GATE EE 2018 Set 1 — Question 60
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Power Electronics → DC-DC Converters → Buck Converter
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Question
The figure shows two buck converters connected in parallel. The common input dc voltage for the converters has a value of 100 V. The converters have inductors of identical value. The load resistance is 1 . The capacitor voltage has negligible ripple. Both converters operate in the continuous conduction mode. The switching frequency is 1 kHz, and the switch control signals are as shown. The circuit operates in the steady state. Assuming that the converters share the load equally, the average value of , the current of switch S1 (in Ampere), is _____ (up to 2 decimal places).
Correct answer
11.5 to 13.5
Solution
Given:
Input voltage V
Load resistance
Switching frequency kHz Time period msFrom the switch control signals:
Switch S1 is ON from to ms. Duty cycle .
Switch S2 is ON from ms to ms. Duty cycle .In a buck converter, the average output voltage .
Since both converters are in parallel and share the load equally, the output voltage is determined by the duty cycle of the switches.
V.Total load current A.
Since the converters share the load equally, the average current from each converter is:
A.The average current of switch S1 () is given by:
, where is the average inductor current of the first converter.
In steady state, the average inductor current equals the average output current of that converter.
A.
A.
Input voltage V
Load resistance
Switching frequency kHz Time period msFrom the switch control signals:
Switch S1 is ON from to ms. Duty cycle .
Switch S2 is ON from ms to ms. Duty cycle .In a buck converter, the average output voltage .
Since both converters are in parallel and share the load equally, the output voltage is determined by the duty cycle of the switches.
V.Total load current A.
Since the converters share the load equally, the average current from each converter is:
A.The average current of switch S1 () is given by:
, where is the average inductor current of the first converter.
In steady state, the average inductor current equals the average output current of that converter.
A.
A.
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