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Inductor Value for Buck-Boost Regulator (DCM) Formula

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

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

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

Inductor Value for Buck-Boost Regulator (DCM) Example

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

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

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

0.4577 = \frac{- {9.72}^{2} \cdot {0.22}^{2} \cdot 5}{2 \cdot 13.5 \cdot 1.85}

0.4577H = \frac{- {9.72V}^{2} \cdot {0.22}^{2} \cdot 5s}{2 \cdot 13.5V \cdot 1.85A}

0.4577 = \frac{- {9.72}^{2} \cdot {0.22}^{2} \cdot 5}{2 \cdot 13.5 \cdot 1.85}

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Inductor Value for Buck-Boost Regulator (DCM) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L x(bb_dcm) = \frac{- {9.72V}^{2} \cdot {0.22}^{2} \cdot 5s}{2 \cdot 13.5V \cdot 1.85A}

Next Step Prepare to Evaluate

∴

L x(bb_dcm) = \frac{- {9.72}^{2} \cdot {0.22}^{2} \cdot 5}{2 \cdot 13.5 \cdot 1.85}

Next Step Evaluate

∴

L x(bb_dcm) = 0.457733189189189H

LAST Step Rounding Answer

∴

L x(bb_dcm) = 0.4577H

Inductor Value for Buck-Boost Regulator (DCM) Formula Elements

Variables

Critical Inductance of Buck Boost DCM

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

Symbol: L_{x(bb_dcm)}

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Critical Inductance of Buck Boost DCM

Input Voltage of Buck Boost DCM

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

Symbol: V_{i(bb_dcm)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Input Voltage of Buck Boost DCM

Duty Cycle of Buck Boost DCM

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

Symbol: D_{bb_dcm}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Duty Cycle of Buck Boost DCM

Time Commutation of Buck Boost DCM

Time Commutation of Buck 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(bb_dcm)}

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Commutation of Buck Boost DCM

Output Voltage of Buck Boost DCM

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

Symbol: V_{o(bb_dcm)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Output Voltage of Buck Boost DCM

Output Current of Buck Boost DCM

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

Symbol: i_{o(bb_dcm)}

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Output Current of Buck Boost DCM

Other formulas in Discontinuous Conduction Mode category

Go Output Voltage for Buck-Boost Regulator (DCM)

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

Go Output Current for Buck-Boost Regulator (DCM)

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

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

Inductor Value for Buck-Boost Regulator (DCM) evaluator uses Critical Inductance of Buck Boost DCM = (-Input Voltage of Buck Boost DCM^2*Duty Cycle of Buck Boost DCM^2*Time Commutation of Buck Boost DCM)/(2*Output Voltage of Buck Boost DCM*Output Current of Buck Boost DCM) to evaluate the Critical Inductance of Buck Boost DCM, The Inductor Value for Buck-Boost Regulator (DCM) formula is defined as the measure of this property that is equal to the ratio of the induced electromotive force to the rate of change of the inducing current. Critical Inductance of Buck Boost DCM is denoted by L_{x(bb_dcm)} symbol.

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

FAQs on Inductor Value for Buck-Boost Regulator (DCM)

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

The formula of Inductor Value for Buck-Boost Regulator (DCM) is expressed as Critical Inductance of Buck Boost DCM = (-Input Voltage of Buck Boost DCM^2*Duty Cycle of Buck Boost DCM^2*Time Commutation of Buck Boost DCM)/(2*Output Voltage of Buck Boost DCM*Output Current of Buck Boost DCM). Here is an example- 0.457733 = (-9.72^2*0.22^2*5)/(2*13.5*1.85).

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

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

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

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

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

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

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Inductor Value for Buck-Boost Regulator (DCM) Formula

Inductor Value for Buck-Boost Regulator (DCM) Example

Inductor Value for Buck-Boost Regulator (DCM) Solution

Inductor Value for Buck-Boost Regulator (DCM) Formula Elements

Other formulas in Discontinuous Conduction Mode category

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

FAQs on Inductor Value for Buck-Boost Regulator (DCM)

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