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Boost converter

Boost converter: the circuit drawn with the example's values10µH15µF3.7 V12 V
D 72 %, L 10 µH, C 15 µF for 3.7 V → 12 V at 500 mA

Charge a coil from the input, then let it spill on top of it: more volts, fewer amps.

Opens in the app on 1 December, with Circuit Notebook 1.0 See it worked out

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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

  1. the share of the time the switch is on
  2. power in equals power out plus losses
  3. the inductor charges from the input while the switch is on
  4. 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

  1. D = 1 − η Vin / Voutthe share of the time the switch is on
  2. Iin = Vout × Iout / (η Vin)power in equals power out plus losses
  3. 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

Your circuit, drawn live

Change a value: the schematic redraws with your numbers on the parts.

The part you can buy

Results rounded to standard values (E12, E24, E96) and power ratings.

The working, shown

Every step written out. Try it first by hand, then check.

Into your notebook

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Opens in the app on 1 December, with Circuit Notebook 1.0

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