Question

A simple buck converter operates with a 50 kHz switching frequency and a dc input voltage of Vg = 40 V. The output voltage is V = 20 V. The load resistance is R ? 4 ?. (a) Determine the value of the output filter inductance L such that the peak-to-average inductor current ripple ?i is 10% of the dc component I. (b) Determine the peak steady-state inductor current Imax. (c) Design an inductor which has the values of L and Imax from parts (a) and (b). Use a ferrite EE core, with Bmax = 0.25 T. Choose a value of winding resistance such that the inductor copper loss is less than or equal to 1 W at room temperature. Assume Ku = 0.5. Specify: core size, gap length, wire size (AWG), and number of turns.

          A simple buck converter operates with a 50 kHz switching frequency and a dc input voltage of Vg = 40 V.
The output voltage is V = 20 V. The load resistance is R ? 4 ?.
(a) Determine the value of the output filter inductance L such that the peak-to-average inductor current ripple ?i is 10% of the dc component I.
(b) Determine the peak steady-state inductor current Imax.
(c) Design an inductor which has the values of L and Imax from parts (a) and (b). Use a ferrite EE core, with Bmax = 0.25 T. Choose a value of winding resistance such that the inductor copper loss is less than or equal to 1 W at room temperature. Assume Ku = 0.5. Specify: core size, gap length, wire size (AWG), and number of turns.

A simple buck converter operates with a 50 kHz switching frequency and a dc input voltage of Vg = 40 V.
The output voltage is V = 20 V. The load resistance is R ? 4 ?.
(a) Determine the value of the output filter inductance L such that the peak-to-average inductor current ripple ?i is 10% of the dc component I.
(b) Determine the peak steady-state inductor current Imax.
(c) Design an inductor which has the values of L and Imax from parts (a) and (b). Use a ferrite EE core, with Bmax = 0.25 T. Choose a value of winding resistance such that the inductor copper loss is less than or equal to 1 W at room temperature. Assume Ku = 0.5. Specify: core size, gap length, wire size (AWG), and number of turns.

Added by Allison H.

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