Boost Converter Efficiency Calculator

Efficiency of Boost Converter

Definition: The efficiency of a boost converter is the ratio of the output power to the input power.

Formula: \( \eta = \frac{P_{out}}{P_{in}} \times 100 \)

• \( \eta \): Efficiency (%)
• \( P_{out} \): Output power
• \( P_{in} \): Input power

Example: \( \eta = \frac{50}{60} \times 100 \)

• \( \eta \): Efficiency (%)
• \( P_{out} \): 50 W
• \( P_{in} \): 60 W

Boost Converter Design Calculator

Definition: A tool to assist in designing a boost converter by calculating component values based on input and output specifications.

Example: Input voltage: 12V, Output voltage: 24V, Output current: 2A.

Boost Converter Calculation Example

Definition: An example calculation for designing a boost converter.

Example:

• Input voltage: 12V
• Output voltage: 24V
• Output current: 2A
• Inductor value: 10 µH
• Capacitor value: 100 µF

Boost Converter Design Calculations

Definition: The process of calculating the necessary component values for a boost converter.

Formula: \( L = \frac{V_{in} \times (V_{out} - V_{in})}{\Delta I \times f \times V_{out}} \)

• \( L \): Inductor value
• \( V_{in} \): Input voltage
• \( V_{out} \): Output voltage
• \( \Delta I \): Inductor ripple current
• \( f \): Switching frequency

Example: \( L = \frac{12 \times (24 - 12)}{0.5 \times 100000 \times 24} \)

• \( L \): Inductor value
• \( V_{in} \): 12V
• \( V_{out} \): 24V
• \( \Delta I \): 0.5A
• \( f \): 100 kHz

Boost Converter Current Calculation

Definition: The calculation of the current through the inductor and the output current of a boost converter.

Formula: \( I_{L} = \frac{P_{out}}{V_{in}} \)

• \( I_{L} \): Inductor current
• \( P_{out} \): Output power
• \( V_{in} \): Input voltage

Example: \( I_{L} = \frac{48}{12} \)

• \( I_{L} \): Inductor current
• \( P_{out} \): 48 W
• \( V_{in} \): 12V

Equations of Boost Converter

Definition: The fundamental equations governing the operation of a boost converter.

Formula: \( V_{out} = \frac{V_{in}}{1 - D} \)

• \( V_{out} \): Output voltage
• \( V_{in} \): Input voltage
• \( D \): Duty cycle

Example: \( V_{out} = \frac{12}{1 - 0.5} \)

• \( V_{out} \): Output voltage
• \( V_{in} \): 12V
• \( D \): 0.5

Boost Converter Design Formula

Definition: The formula used to design a boost converter by determining the necessary component values.

Formula: \( L = \frac{V_{in} \times (V_{out} - V_{in})}{\Delta I \times f \times V_{out}} \)

• \( L \): Inductor value
• \( V_{in} \): Input voltage
• \( V_{out} \): Output voltage
• \( \Delta I \): Inductor ripple current
• \( f \): Switching frequency

Example: \( L = \frac{15 \times (30 - 15)}{0.6 \times 100000 \times 30} \)

• \( L \): Inductor value
• \( V_{in} \): 15V
• \( V_{out} \): 30V
• \( \Delta I \): 0.6A
• \( f \): 100 kHz

Efficiency of Buck-Boost Converter Formula

Definition: The efficiency of a buck-boost converter is the ratio of the output power to the input power.

Formula: \( \eta = \frac{P_{out}}{P_{in}} \times 100 \)

• \( \eta \): Efficiency (%)
• \( P_{out} \): Output power
• \( P_{in} \): Input power

Example: \( \eta = \frac{40}{50} \times 100 \)

• \( \eta \): Efficiency (%)
• \( P_{out} \): 40 W
• \( P_{in} \): 50 W

Boost Converter Voltage Equation

Definition: The equation that relates the input voltage, output voltage, and duty cycle of a boost converter.

Formula: \( V_{out} = \frac{V_{in}}{1 - D} \)

• \( V_{out} \): Output voltage
• \( V_{in} \): Input voltage
• \( D \): Duty cycle

Example: \( V_{out} = \frac{10}{1 - 0.4} \)

• \( V_{out} \): Output voltage
• \( V_{in} \): 10V
• \( D \): 0.4