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Inductor Value for Boost Regulator (DCM) Formula

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Critical Inductance of Boost DCM refers to the minimum value of the inductance required in these converters to maintain discontinuous current flow through the inductor. Check FAQs

L x(bo_dcm) = \frac{({V i(bo_dcm)}^{2}) \cdot ({D bo_dcm}^{2}) \cdot t c(bo_dcm)}{2 \cdot (V o(bo_dcm) - V i(bo_dcm)) \cdot i o(bo_dcm)}

L_{x(bo_dcm)} - Critical Inductance of Boost DCM?V_{i(bo_dcm)} - Input Voltage of Boost DCM?D_{bo_dcm} - Duty Cycle of Boost DCM?t_{c(bo_dcm)} - Time Commutation of Boost DCM?V_{o(bo_dcm)} - Output Voltage of Boost DCM?i_{o(bo_dcm)} - Output Current of Boost DCM?

Inductor Value for Boost Regulator (DCM) Example

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Here is how the Inductor Value for Boost Regulator (DCM) equation looks like with Values.

Here is how the Inductor Value for Boost Regulator (DCM) equation looks like with Units.

Here is how the Inductor Value for Boost Regulator (DCM) equation looks like.

0.4191 = \frac{({9.71}^{2}) \cdot ({0.0359}^{2}) \cdot 4.063}{2 \cdot (10.006 - 9.71) \cdot 1.9899}

0.4191H = \frac{({9.71V}^{2}) \cdot ({0.0359}^{2}) \cdot 4.063s}{2 \cdot (10.006V - 9.71V) \cdot 1.9899A}

0.4191 = \frac{({9.71}^{2}) \cdot ({0.0359}^{2}) \cdot 4.063}{2 \cdot (10.006 - 9.71) \cdot 1.9899}

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Inductor Value for Boost Regulator (DCM) Solution

Follow our step by step solution on how to calculate Inductor Value for Boost Regulator (DCM)?

FIRST Step Consider the formula

L x(bo_dcm) = \frac{({V i(bo_dcm)}^{2}) \cdot ({D bo_dcm}^{2}) \cdot t c(bo_dcm)}{2 \cdot (V o(bo_dcm) - V i(bo_dcm)) \cdot i o(bo_dcm)}

Next Step Substitute values of Variables

∴

L x(bo_dcm) = \frac{({9.71V}^{2}) \cdot ({0.0359}^{2}) \cdot 4.063s}{2 \cdot (10.006V - 9.71V) \cdot 1.9899A}

Next Step Prepare to Evaluate

∴

L x(bo_dcm) = \frac{({9.71}^{2}) \cdot ({0.0359}^{2}) \cdot 4.063}{2 \cdot (10.006 - 9.71) \cdot 1.9899}

Next Step Evaluate

∴

L x(bo_dcm) = 0.419103435195732H

LAST Step Rounding Answer

∴

L x(bo_dcm) = 0.4191H

Inductor Value for Boost Regulator (DCM) Formula Elements

Variables

Critical Inductance of Boost DCM

Critical Inductance of Boost DCM refers to the minimum value of the inductance required in these converters to maintain discontinuous current flow through the inductor.

Symbol: L_{x(bo_dcm)}

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Critical Inductance of Boost DCM

Input Voltage of Boost DCM

Input Voltage of Boost DCM is the voltage supplied to the voltage regulator circuit.

Symbol: V_{i(bo_dcm)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Input Voltage of Boost DCM

Duty Cycle of Boost DCM

A Duty Cycle of Boost DCM or power cycle is the fraction of one period in which a signal or system is active in a voltage regulator circuit.

Symbol: D_{bo_dcm}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Duty Cycle of Boost DCM

Time Commutation of Boost DCM

The Time Commutation of Boost DCM is the process of transferring current from one connection to another within an electric circuit such as voltage regulator circuit.

Symbol: t_{c(bo_dcm)}

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Commutation of Boost DCM

Output Voltage of Boost DCM

Output Voltage of Boost DCM signifies the voltage of the signal after it has been regulated by a voltage regulator circuit.

Symbol: V_{o(bo_dcm)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Output Voltage of Boost DCM

Output Current of Boost DCM

Output Current of Boost DCM is the current the amplifier draws from the signal source.

Symbol: i_{o(bo_dcm)}

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Output Current of Boost DCM

Other formulas in Discontinuous Conduction Mode category

Go Duty Cycle for Boost Regulator (DCM)

D bo_dcm = \sqrt{(2 \cdot L x(bo_dcm) \cdot \frac{i o(bo_dcm)}{V i(bo_dcm) \cdot t c(bo_dcm)}) \cdot ((\frac{V o(bo_dcm)}{V i(bo_dcm)}) - 1)}

Go Output Voltage for Boost Regulator (DCM)

V o(bo_dcm) = V i(bo_dcm) + (\frac{{V i(bo_dcm)}^{2} \cdot {D bo_dcm}^{2} \cdot t c(bo_dcm)}{2 \cdot L x(bo_dcm) \cdot i o(bo_dcm)})

Go Commutation Period for Boost Regulator (DCM)

t c(bo_dcm) = (\frac{2 \cdot L x(bo_dcm) \cdot i o(bo_dcm)}{({D bo_dcm}^{2}) \cdot V i(bo_dcm)}) \cdot ((\frac{V o(bo_dcm)}{V i(bo_dcm)}) - 1)

Go Output Current for Boost Regulator (DCM)

i o(bo_dcm) = \frac{({V i(bo_dcm)}^{2}) \cdot {D bo_dcm}^{2} \cdot t c(bo_dcm)}{2 \cdot L x(bo_dcm) \cdot (V o(bo_dcm) - V i(bo_dcm))}

How to Evaluate Inductor Value for Boost Regulator (DCM)?

Inductor Value for Boost Regulator (DCM) evaluator uses Critical Inductance of Boost DCM = ((Input Voltage of Boost DCM^2)*(Duty Cycle of Boost DCM^2)*Time Commutation of Boost DCM)/(2*(Output Voltage of Boost DCM-Input Voltage of Boost DCM)*Output Current of Boost DCM) to evaluate the Critical Inductance of Boost DCM, The Inductor Value for Boost Regulator (DCM) formula is defined as the difference between input and output voltage multiplied by duty cycle, time taken, and with the sum of duty cycle and delta then divided by twice of output current. Critical Inductance of Boost DCM is denoted by L_{x(bo_dcm)} symbol.

How to evaluate Inductor Value for Boost Regulator (DCM) using this online evaluator? To use this online evaluator for Inductor Value for Boost Regulator (DCM), enter Input Voltage of Boost DCM (V_{i(bo_dcm)}), Duty Cycle of Boost DCM (D_{bo_dcm}), Time Commutation of Boost DCM (t_{c(bo_dcm)}), Output Voltage of Boost DCM (V_{o(bo_dcm)}) & Output Current of Boost DCM (i_{o(bo_dcm)}) and hit the calculate button.

FAQs on Inductor Value for Boost Regulator (DCM)

What is the formula to find Inductor Value for Boost Regulator (DCM)?

The formula of Inductor Value for Boost Regulator (DCM) is expressed as Critical Inductance of Boost DCM = ((Input Voltage of Boost DCM^2)*(Duty Cycle of Boost DCM^2)*Time Commutation of Boost DCM)/(2*(Output Voltage of Boost DCM-Input Voltage of Boost DCM)*Output Current of Boost DCM). Here is an example- 0.421199 = ((9.71^2)*(0.0359^2)*4.063)/(2*(10.006-9.71)*1.9899).

How to calculate Inductor Value for Boost Regulator (DCM)?

With Input Voltage of Boost DCM (V_{i(bo_dcm)}), Duty Cycle of Boost DCM (D_{bo_dcm}), Time Commutation of Boost DCM (t_{c(bo_dcm)}), Output Voltage of Boost DCM (V_{o(bo_dcm)}) & Output Current of Boost DCM (i_{o(bo_dcm)}) we can find Inductor Value for Boost Regulator (DCM) using the formula - Critical Inductance of Boost DCM = ((Input Voltage of Boost DCM^2)*(Duty Cycle of Boost DCM^2)*Time Commutation of Boost DCM)/(2*(Output Voltage of Boost DCM-Input Voltage of Boost DCM)*Output Current of Boost DCM).

Can the Inductor Value for Boost Regulator (DCM) be negative?

No, the Inductor Value for Boost Regulator (DCM), measured in Inductance cannot be negative.

Which unit is used to measure Inductor Value for Boost Regulator (DCM)?

Inductor Value for Boost Regulator (DCM) is usually measured using the Henry[H] for Inductance. Millihenry[H], Microhenry[H] are the few other units in which Inductor Value for Boost Regulator (DCM) can be measured.

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Inductor Value for Boost Regulator (DCM) Formula

Inductor Value for Boost Regulator (DCM) Example

Inductor Value for Boost Regulator (DCM) Solution

Inductor Value for Boost Regulator (DCM) Formula Elements

Other formulas in Discontinuous Conduction Mode category

How to Evaluate Inductor Value for Boost Regulator (DCM)?

FAQs on Inductor Value for Boost Regulator (DCM)

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