Question #184244

Design the buck and buck-boost converters for following specifications: Vin = 24 V, Switching frequency = 25 kHz, Vo = 10 V, Po= 48 W. Inductor current ripple is 10 % of load current and capacitor voltage ripple is 1% of output voltage. Assume necessary data if required.

Expert's answer

"V_o=V_s(\\frac{D}{1-D})"

"10=24(\\frac{D}{1-D}) \\implies D=0.29411"

"L_{min}=\\frac{(1-D)^2R}{2f}=\\frac{(1-0.29411)^2 \\times 24^2\/48}{2 \\times 25}=0.119587"

Required Inductance "1.51 \\times L_{min}=1.51 \\times 0.119587=0.18057 \\mu H"

"C=\\frac{D}{Rf(V)}=\\frac{0.29411}{24^2\/48(38\/48)}=0.0309589 \\mu F"

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