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Vin_max = 55V, Vout = 5V, Iout= 5A, Kind = ΔIL/Iout = 0.3 (recommended by datasheet), and fsw= 400kHz
Using the equation above, Lmin = 7.6uH. Choose the next standard value of 8.2uH. The saturation current of the inductor should be greater than the switch current limit of 7.5A
OLD PART: https://www.digikey.ca/en/products/detail/würth-elektronik/7443330820/2175573
NEW PART: https://www.digikey.ca/en/products/detail/codaca/CSEB0770H-8R2M/16566340
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Vin = 55V, Vout = 12V, fsw= 400kHz, Iout = 2A
K = ΔIL/Iout, choose k=0.4
Using the above equation, L = 29.3uH
Choose closest standard value, 33uH
Inductor saturation current should be >= Isc , the high side switch current limit of 3.2A, to avoid component damage due to high current when the inductor saturates
OLD PART: https://www.digikey.ca/en/products/detail/würth-elektronik/744770133/1638634
NEW PART: https://www.digikey.ca/en/products/detail/tdk-corporation/SPM10065VT-330M-D/12175283
Justification: Slightly smaller, cheaper, higher current and saturation current ratings.
Output Capacitor
Output capacitor allows for the load to be powered during the off state of the transistor and accounts for load transients
Voltage rating should be 2-3x the output voltage to account for voltage spikes
The datasheet recommends 22uF for a 12V output
Use 3x 22uF to account for DC bias at 12V
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