Boost Converter Reference

Boost (step-up) DC-DC converter basics — duty cycle, formulas, and design considerations.

Reference Reference Updated Apr 19, 2026
Reference

Core equations (CCM, ideal)

V_out / V_in
= 1 / (1 − D) — where D is duty cycle of switch
D
= 1 − V_in / V_out
Inductor ripple ΔI_L
= V_in · D / (L · f_sw)
Output cap ripple ΔV_out
= I_out · D / (C_out · f_sw)
Min inductor for CCM
L_min = V_in · D / (2 · I_out · (V_out/V_in) · f_sw)

Topology

  • Switch (low side) closes → inductor stores energy.
  • Switch opens → inductor forces current through diode into load + cap.
  • Output voltage is always greater than input (ignoring drops).
  • Uses one inductor, one diode, one switch, and one output capacitor.

Component sizing tips

  • Inductor: pick ΔI_L ≈ 30% of I_L(avg). Higher L = less ripple, bigger part.
  • Switch: handle V_out peak, peak I_L, plus margin. Low R_DS(on) at the required V_DS.
  • Diode: Schottky for efficiency under ~40 V, fast recovery above. Rate for V_out + margin.
  • Output cap: low-ESR type (ceramic or polymer) for ripple and transients.
  • Feedback loop: boost has right-half-plane zero — compensate conservatively; use Type III comp.

Notes

  • Boost cannot regulate when V_in ≈ V_out — there is no switch state that "holds" V_out below V_in (the diode forces V_out ≥ V_in − V_d).
  • For synchronous boost, replace the diode with a MOSFET for better efficiency at high current.

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