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A simple buck converter operates with a 50 kHz switching frequency and a de input voltage of V₂ = 40 V. The output voltage is V = 20 V. The load resistance is R249. (a) (b) (c) Determine the value of the output filter inductance L such that the peak-to-average inductor cur- rent ripple Ai is 10% of the de component I. Determine the peak steady-state inductor current Im max 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 K = 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 de input voltage of V₂ = 40 V. The output voltage is V = 20 V. The load resistance is R249. (a) (b) (c) Determine the value of the output filter inductance L such that the peak-to-average inductor cur- rent ripple Ai is 10% of the de component I. Determine the peak steady-state inductor current Im max 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 K = 0.5. Specify: core size, gap length, wire size (AWG), and number of turns.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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A simple buck converter operates with a 50 kHz switching frequency and a de input voltage of V₂ = 40 V. The output voltage is V = 20 V. The load resistance is R2492. 8 (a) (b) (c) Determine the value of the output filter inductance L such that the peak-to-average inductor cur- rent ripple Ai is 10% of the de component I. Determine the peak steady-state inductor current Imax 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 K = 0.5. Specify: core size, gap length, wire size (AWG), and number of turns.
Transcribed Image Text:A simple buck converter operates with a 50 kHz switching frequency and a de input voltage of V₂ = 40 V. The output voltage is V = 20 V. The load resistance is R2492. 8 (a) (b) (c) Determine the value of the output filter inductance L such that the peak-to-average inductor cur- rent ripple Ai is 10% of the de component I. Determine the peak steady-state inductor current Imax 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 K = 0.5. Specify: core size, gap length, wire size (AWG), and number of turns.
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