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Inductor Value for Buck Regulator (DCM) Formula

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

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

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

Inductor Value for Buck Regulator (DCM) Example

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

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

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

0.3005 = \frac{4 \cdot {0.2}^{2} \cdot 9.7 \cdot (9.7 - 5.35)}{2 \cdot 2.1 \cdot 5.35}

0.3005H = \frac{4s \cdot {0.2}^{2} \cdot 9.7V \cdot (9.7V - 5.35V)}{2 \cdot 2.1A \cdot 5.35V}

0.3005 = \frac{4 \cdot {0.2}^{2} \cdot 9.7 \cdot (9.7 - 5.35)}{2 \cdot 2.1 \cdot 5.35}

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Inductor Value for Buck Regulator (DCM) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L x(bu_dcm) = \frac{4s \cdot {0.2}^{2} \cdot 9.7V \cdot (9.7V - 5.35V)}{2 \cdot 2.1A \cdot 5.35V}

Next Step Prepare to Evaluate

∴

L x(bu_dcm) = \frac{4 \cdot {0.2}^{2} \cdot 9.7 \cdot (9.7 - 5.35)}{2 \cdot 2.1 \cdot 5.35}

Next Step Evaluate

∴

L x(bu_dcm) = 0.30045393858478H

LAST Step Rounding Answer

∴

L x(bu_dcm) = 0.3005H

Inductor Value for Buck Regulator (DCM) Formula Elements

Variables

Critical Inductance of Buck DCM

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

Symbol: L_{x(bu_dcm)}

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Critical Inductance of Buck DCM

Time Commutation of Buck DCM

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

Symbol: t_{c(bu_dcm)}

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Commutation of Buck DCM

Duty Cycle of Buck DCM

A Duty cycle of Buck 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_{bu_dcm}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Duty Cycle of Buck DCM

Input Voltage of Buck DCM

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

Symbol: V_{i(bu_dcm)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Input Voltage of Buck DCM

Output Voltage of Buck DCM

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

Symbol: V_{o(bu_dcm)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Output Voltage of Buck DCM

Output Current of Buck DCM

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

Symbol: i_{o(bu_dcm)}

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Output Current of Buck DCM

Other formulas in Discontinuous Conduction Mode category

Go Output Voltage for Buck Regulator (DCM)

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

Go Output Current for Buck Regulator (DCM)

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

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

Inductor Value for Buck Regulator (DCM) evaluator uses Critical Inductance of Buck DCM = (Time Commutation of Buck DCM*Duty Cycle of Buck DCM^2*Input Voltage of Buck DCM*(Input Voltage of Buck DCM-Output Voltage of Buck DCM))/(2*Output Current of Buck DCM*Output Voltage of Buck DCM) to evaluate the Critical Inductance of Buck DCM, The Inductor Value for Buck 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 Buck DCM is denoted by L_{x(bu_dcm)} symbol.

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

FAQs on Inductor Value for Buck Regulator (DCM)

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

The formula of Inductor Value for Buck Regulator (DCM) is expressed as Critical Inductance of Buck DCM = (Time Commutation of Buck DCM*Duty Cycle of Buck DCM^2*Input Voltage of Buck DCM*(Input Voltage of Buck DCM-Output Voltage of Buck DCM))/(2*Output Current of Buck DCM*Output Voltage of Buck DCM). Here is an example- 0.285756 = (4*0.2^2*9.7*(9.7-5.35))/(2*2.1*5.35).

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

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

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

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

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

Inductor Value for Buck 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 Buck Regulator (DCM) can be measured.

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Inductor Value for Buck Regulator (DCM) Formula

Inductor Value for Buck Regulator (DCM) Example

Inductor Value for Buck Regulator (DCM) Solution

Inductor Value for Buck Regulator (DCM) Formula Elements

Other formulas in Discontinuous Conduction Mode category

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

FAQs on Inductor Value for Buck Regulator (DCM)

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