Boost Inductor Value

L = Vin·(Vout−Vin) / (ΔIL·fs·Vout)

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Result

Formula

L = Vin × (Vout − Vin) / (ΔIL × fs × Vout)

Description

This sizes the inductor of a boost (step-up) converter for a target peak-to-peak ripple current. The ripple is set by the volt-seconds applied to the inductor during the switch on-time, which depends on the input/output voltage ratio and the switching frequency. A larger inductor or higher frequency reduces ripple at the cost of size or switching loss.

Variables

  • L — Inductance (H)
  • Vin — Input voltage (V)
  • Vout — Output voltage (V)
  • ΔIL — Target peak-to-peak ripple current (A)
  • fs — Switching frequency (Hz)

Practical Notes

A common design target is ΔIL ≈ 20–40% of the average inductor current. The inductor must not saturate at the peak current Iout/(1−D) + ΔIL/2.