GATE 2018 EE – Question 60
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 $1\ \Omega$. 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 $i_{S1}$, the current of switch S1 (in Ampere), is ________ (up to 2 decimal places).
Practise this question in The GATE Grind →
Show answer and explanation
Correct answer: 12.44 to 12.56
Explanation
The duty ratio is $\frac{0.5\text{ ms}}{1\text{ ms}}=0.5$, so $V_o=50$ V and the load current is $50$ A. Each converter carries $25$ A, and the switch conducts for half of the period, so the average switch current is $0.5\times25=12.5$ A.