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(Solved): 1. A buck converter is shown in Figure Q1 below. The input voltage \( V_{i n} ...
1. A buck converter is shown in Figure Q1 below. The input voltage \( V_{i n}=500 \mathrm{~V}, i_{i n}=200 \mathrm{~A} \), inductor \( L=250 \mu \mathrm{H} \), load resistor \( R \) is \( 3 \Omega \). The inductor current ripple \( \Delta \mathrm{I} \) is measured to be \( 40 \mathrm{~A} \) peak to peak. (a) Calculate output voltage. (b) Calculate the switching frequency. (c) Determine the maximum voltage that will appear across (i) the switch, (ii) the diode, (iii) the inductor. (d) The inductor is replaced by another one such that the converter is operating at the borderline between continuous conduction mode and discontinuous mode. Everything else in the circuit remain the same. Determine the inductor value.
Expert Answer
To solve this problem, we will first need to set up some equations based on the buck converter circuit. (a) To calculate the output voltage, we can us