Boost Converter

Vout = Vin / (1 − D)

Quick answer

This calculator solves Vout = Vin / (1 - D) for Output Voltage. With Input Voltage 26.4 V, Duty Cycle 50 %, the result is 52.8 V. It solves in 3 directions, so you can enter the values you have and get the one you need.

Calculator

Output Voltage (V)
—

Formula

Vout = Vin / (1 - D)

Description

A boost converter steps voltage up by storing energy in an inductor during the switch-on phase and releasing it at a higher voltage during the switch-off phase. The output voltage is always greater than or equal to the input voltage. As the duty cycle approaches 1, the theoretical output voltage approaches infinity, though parasitic losses limit practical boost ratios to about 4-6x. Boost converters are widely used to generate 5V or higher from single-cell lithium batteries (3.0-4.2V), to drive LED backlights, and in power factor correction circuits.

Variables

  • Vout — Output voltage (V)
  • Vin — Input voltage (V)
  • D — Duty cycle (0 to 1)

Practical Notes

At duty cycles above 0.8-0.85, efficiency drops significantly due to high switch currents and inductor losses. For high boost ratios, consider a flyback or charge pump topology instead. The input current of a boost converter is continuous (smoothed by the inductor), making it well-suited for solar panel MPPT applications.

Symbols and units

Symbol Meaning Default unit Accepted units
Vout Output Voltage V pV, nV, µV, mV, V, kV
Vin Input Voltage V pV, nV, µV, mV, V, kV
D Duty Cycle — —, %

Step by step

  1. 1. What you know: Input Voltage 26.4 V, Duty Cycle 50 %
  2. 2. The relation: Vout = Vin / (1 - D)
  3. 3. Substitute: Vin = 26.4 V, D = 50 %
  4. 4. Result: Output Voltage = 52.8 V

Worked examples

Minimum range

Given: Input Voltage 0.726 V, Duty Cycle 2.5 %

Result: Output Voltage = 0.7446 V

Low range

Given: Input Voltage 7.26 V, Duty Cycle 25 %

Result: Output Voltage = 9.68 V

Typical

Given: Input Voltage 26.4 V, Duty Cycle 50 %

Result: Output Voltage = 52.8 V

High range

Given: Input Voltage 0.506 kV, Duty Cycle 0.8

Result: Output Voltage = 2.53 kV

Maximum range

Given: Input Voltage 5.06 kV, Duty Cycle 8

Result: Output Voltage = -0.7229 kV

Solving for each variable

Solve for Output Voltage

Input Voltage 0.726 V, Duty Cycle 2.5 % → 0.7446 V

Solve for Input Voltage

Output Voltage 0.33 V, Duty Cycle 2.5 % → 0.3218 V

Solve for Duty Cycle

Output Voltage 0.33 V, Input Voltage 0.726 V → -1.2

How Output Voltage changes with Input Voltage

Input Voltage (input) Output Voltage (result)
2.64 V 5.28 V
6.6 V 13.2 V
13.2 V 26.4 V
19.8 V 39.6 V
26.4 V 52.8 V
39.6 V 79.2 V
52.8 V 105.6 V
105.6 V 0.2112 kV
0.1848 kV 0.3696 kV
0.264 kV 0.528 kV

The same result in other units

Unit Value
mV 52800
V 52.8
kV 0.0528

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Frequently asked questions

How do you calculate Boost Converter?

Use Vout = Vin / (1 - D). With Input Voltage 26.4 V, Duty Cycle 50 %, Output Voltage works out to 52.8 V.

What is the formula for Boost Converter?

The formula is Vout = Vin / (1 - D). A boost converter steps voltage up by storing energy in an inductor during the switch-on phase and releasing it at a higher voltage during the switch-off phase.

How do you find Input Voltage when you know the other values?

Rearrange for Input Voltage: with Output Voltage 0.33 V, Duty Cycle 2.5 %, Input Voltage is 0.3218 V.

How do you find Duty Cycle when you know the other values?

Rearrange for Duty Cycle: with Output Voltage 0.33 V, Input Voltage 0.726 V, Duty Cycle is -1.2.

What units does Boost Converter use?

Output Voltage is shown in mV, V, kV. Values are held in SI base units internally, so you can mix prefixes without converting by hand.

Related Concepts

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