The Physics of DC-DC Boost Regulation
A boost (step-up) converter produces an output DC voltage greater than its input voltage by alternately storing energy in an inductor during the switch-on period and dumping that stored magnetic field energy in series with the input rail through a rectifier diode to the output capacitor during the switch-off period.
Continuous Conduction Mode (CCM) Inductor Sizing
For most high-efficiency applications, the converter should operate in Continuous Conduction Mode (CCM), where inductor current never drops to zero between switching cycles. The inductor value is determined by the target ripple ratio (K_{ ext{ind}}) (typically 0.30):
Average Input Current: I_in = (Vout × Iout) / (Vin × η)
Ripple Current: ΔI_L = K_ind × I_in
Inductance: L = (Vin × D) / (f_sw × ΔI_L)
Inductor Saturation and the Right-Half-Plane (RHP) Zero
Choosing an inductor based solely on inductance ((mu ext{H})) is a recipe for smoke. The inductor's magnetic core must never saturate under full load. You must select an inductor whose saturation current rating ((I_{ ext{sat}})) exceeds the calculated peak current (I_{ ext{peak}} = I_{ ext{in}} + rac{Delta I_L}{2}) by at least 20% to 30%.
Furthermore, boost converters in CCM possess an intrinsic Right-Half-Plane (RHP) zero in their control-to-output transfer function. When a sudden load step occurs, duty cycle increases, but the inductor initially delivers less current to the output because the diode is off for longer during each cycle. This limits the maximum closed-loop crossover bandwidth to roughly one-fifth of the RHP zero frequency.