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The example, worked out
Given
Input
3.7 V
Output
12 V
Load current
500 mA
Switching frequency
500 kHz
Inductor ripple
30 %
Output ripple allowed
50 mV
Efficiency expected
90 %
Working
the share of the time the switch is on
power in equals power out plus losses
the inductor charges from the input while the switch is on
the capacitor feeds the load alone while the switch is on
Results
Duty cycle72.2 %
Inductor9.89 µH
Output capacitor14.4 µF
Input current1.8 A
Peak inductor current2.07 A
Inductor ripple541 mA
Loss (at the efficiency given)667 mW
Switch and diode see12 V
Continuous down to75 mA
The formulas
D = 1 − η Vin / Voutthe share of the time the switch is on
Iin = Vout × Iout / (η Vin)power in equals power out plus losses
L = Vin × D / (f × ΔIL)the inductor charges from the input
The usual traps
The input current is larger than the load current by the voltage ratio.
A boost cannot turn its output off: the input reaches it through the diode.
Questions
How do I calculate the duty cycle and inductor of a boost converter?
D = 1 − η Vin / Vout: the share of the time the switch is on. Iin = Vout × Iout / (η Vin): power in equals power out plus losses. L = Vin × D / (f × ΔIL): the inductor charges from the input.
What does it give for typical values?
D 72 %, L 10 µH, C 15 µF for 3.7 V → 12 V at 500 mA. Duty cycle: 72.2 %; Inductor: 9.89 µH; Output capacitor: 14.4 µF.
What are the usual mistakes?
The input current is larger than the load current by the voltage ratio. A boost cannot turn its output off: the input reaches it through the diode.
In the app
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Results rounded to standard values (E12, E24, E96) and power ratings.
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Open the calculatorOpens in the app on 1 December, with Circuit Notebook 1.0