Utilize our Boost Converter Calculator to quickly determine crucial parameters for your step-up DC-DC conversion. Input desired voltages, current, frequency, and efficiency to find the optimal duty cycle, inductor (L), and output capacitor (Cout) values. Perfect for hobbyists, students, and professional engineers designing efficient power supplies and voltage regulation circuits.
Formula:
The Boost Converter (step-up converter) is a DC-to-DC power converter that steps up voltage while stepping down current from its input to its output. Its operation relies on an inductor, a switch (transistor), a diode, and a capacitor.
Key formulas for designing a boost converter are:
- Duty Cycle (D): This is the fraction of the switching period when the switch is ON.
D = 1 - (Vin × η / Vout) - Average Input Current (Iin_avg): The average current drawn from the input source.
Iin_avg = (Vout × Iout) / (Vin × η) - Inductor Value (L): The inductor stores energy when the switch is ON and releases it when OFF.
L = (Vin × D) / (ΔIL × fsw)
WhereΔIL(Peak-to-Peak Inductor Ripple Current) is often a percentage ofIin_avg:ΔIL = (Ripple % / 100) × Iin_avg - Output Capacitor Value (Cout): Filters the output voltage to reduce ripple.
Cout = (Iout × D) / (ΔVout × fsw)
Where:
Vin= Input Voltage (Volts)Vout= Output Voltage (Volts)Iout= Output Current (Amperes)η= Efficiency (as a decimal, e.g., 0.85 for 85%)fsw= Switching Frequency (Hertz)ΔIL= Peak-to-Peak Inductor Ripple Current (Amperes)ΔVout= Peak-to-Peak Output Voltage Ripple (Volts)