Inductor Value for Buck-Boost Regulator (DCM) Calculator

✖Input Voltage of Buck Boost DCM is the voltage supplied to the voltage regulator circuit.ⓘ Input Voltage of Buck Boost DCM [V_{i(bb_dcm)}]			+10% -10%
✖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.ⓘ Duty Cycle of Buck Boost DCM [D_{bb_dcm}]			+10% -10%
✖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.ⓘ Time Commutation of Buck Boost DCM [t_{c(bb_dcm)}]			+10% -10%
✖Output Voltage of Buck Boost DCM signifies the voltage of the signal after it has been regulated by a voltage regulator circuit.ⓘ Output Voltage of Buck Boost DCM [V_{o(bb_dcm)}]			+10% -10%
✖Output Current of Buck Boost DCM is the current the amplifier draws from the signal source.ⓘ Output Current of Buck Boost DCM [i_{o(bb_dcm)}]			+10% -10%

✖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.ⓘ Inductor Value for Buck-Boost Regulator (DCM) [L_{x(bb_dcm)}]

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Formula

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Inductor Value for Buck-Boost Regulator (DCM)

Formula

`"L"_{"x(bb_dcm)"} = (-"V"_{"i(bb_dcm)"}^2*"D"_{"bb_dcm"}^2*"t"_{"c(bb_dcm)"})/(2*"V"_{"o(bb_dcm)"}*"i"_{"o(bb_dcm)"})`

Example

`"0.457733H"=(-("9.72V")^2*("0.22")^2*"5s")/(2*"13.5V"*"1.85A")`

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Inductor Value for Buck-Boost Regulator (DCM) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
L_{x(bb_dcm)} = (-V_{i(bb_dcm)}^2*D_{bb_dcm}^2*t_{c(bb_dcm)})/(2*V_{o(bb_dcm)}*i_{o(bb_dcm)})
This formula uses 6 Variables

Variables Used

Critical Inductance of Buck Boost DCM - (Measured in Henry) - 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.
Input Voltage of Buck Boost DCM - (Measured in Volt) - Input Voltage of Buck Boost DCM is the voltage supplied to the voltage regulator circuit.
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.
Time Commutation of Buck Boost DCM - (Measured in Second) - 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.
Output Voltage of Buck Boost DCM - (Measured in Volt) - Output Voltage of Buck Boost DCM signifies the voltage of the signal after it has been regulated by a voltage regulator circuit.
Output Current of Buck Boost DCM - (Measured in Ampere) - Output Current of Buck Boost DCM is the current the amplifier draws from the signal source.

STEP 1: Convert Input(s) to Base Unit

Input Voltage of Buck Boost DCM: 9.72 Volt --> 9.72 Volt No Conversion Required
Duty Cycle of Buck Boost DCM: 0.22 --> No Conversion Required
Time Commutation of Buck Boost DCM: 5 Second --> 5 Second No Conversion Required
Output Voltage of Buck Boost DCM: 13.5 Volt --> 13.5 Volt No Conversion Required
Output Current of Buck Boost DCM: 1.85 Ampere --> 1.85 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_{x(bb_dcm)} = (-V_{i(bb_dcm)}^2*D_{bb_dcm}^2*t_{c(bb_dcm)})/(2*V_{o(bb_dcm)}*i_{o(bb_dcm)}) --> (-9.72^2*0.22^2*5)/(2*13.5*1.85)

Evaluating ... ...

L_{x(bb_dcm)} = 0.457733189189189

STEP 3: Convert Result to Output's Unit

0.457733189189189 Henry --> No Conversion Required

FINAL ANSWER

0.457733189189189 ≈ 0.457733 Henry <-- Critical Inductance of Buck Boost DCM

(Calculation completed in 00.004 seconds)

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Output Voltage for Buck-Boost Regulator (DCM)

Go Output Voltage 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*Critical Inductance of Buck Boost DCM*Output Current of Buck Boost DCM)

Inductor Value for Buck-Boost Regulator (DCM)

Go 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)

Output Current for Buck-Boost Regulator (DCM)

Go Output Current 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*Critical Inductance of Buck Boost DCM)

Inductor Value for Buck-Boost Regulator (DCM) Formula

What is Buck-Boost Regulator (DCM)?

The Buck-Boost Regulator (DCM) is a type of DC-to-DC converter that has an output voltage magnitude that is either greater than or less than the input voltage magnitude

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

Inductor Value for Buck-Boost Regulator (DCM) calculator 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 calculate 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 calculate Inductor Value for Buck-Boost Regulator (DCM) using this online calculator? To use this online calculator 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. Here is how the Inductor Value for Buck-Boost Regulator (DCM) calculation can be explained with given input values -> 0.457733 = (-9.72^2*0.22^2*5)/(2*13.5*1.85).

FAQ

What is Inductor Value for Buck-Boost Regulator (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 and is represented as L_{x(bb_dcm)} = (-V_{i(bb_dcm)}^2*D_{bb_dcm}^2*t_{c(bb_dcm)})/(2*V_{o(bb_dcm)}*i_{o(bb_dcm)}) or 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). Input Voltage of Buck Boost DCM is the voltage supplied to the voltage regulator circuit, 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, 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, Output Voltage of Buck Boost DCM signifies the voltage of the signal after it has been regulated by a voltage regulator circuit & Output Current of Buck Boost DCM is the current the amplifier draws from the signal source.

How to calculate Inductor Value for Buck-Boost Regulator (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 is calculated using 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 calculate Inductor Value for Buck-Boost Regulator (DCM), you need 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)}). With our tool, you need to enter the respective value for Input Voltage of Buck Boost DCM, Duty Cycle of Buck Boost DCM, Time Commutation of Buck Boost DCM, Output Voltage of Buck Boost DCM & Output Current of Buck Boost DCM and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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