Inductor Value for Buck Regulator (DCM) Calculator

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

✖Critical Inductance of Buck DCM refers to the minimum value of the inductance required in these converters to maintain current flow through the inductor.ⓘ Inductor Value for Buck Regulator (DCM) [L_{x(bu_dcm)}]

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Formula

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Inductor Value for Buck Regulator (DCM)

Formula

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

Example

`"0.300454H"=("4s"*("0.2")^2*"9.7V"*("9.7V"-"5.35V"))/(2*"2.1A"*"5.35V")`

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Inductor Value for Buck Regulator (DCM) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Critical Inductance of Buck DCM - (Measured in Henry) - Critical Inductance of Buck DCM refers to the minimum value of the inductance required in these converters to maintain current flow through the inductor.
Time Commutation of Buck DCM - (Measured in Second) - 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.
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.
Input Voltage of Buck DCM - (Measured in Volt) - Input Voltage of Buck DCM is the voltage supplied to the voltage regulator circuit.
Output Voltage of Buck DCM - (Measured in Volt) - Output Voltage of Buck DCM signifies the voltage of the signal after it has been regulated by a voltage regulator circuit.
Output Current of Buck DCM - (Measured in Ampere) - Output Current of Buck DCM is the current the amplifier draws from the signal source.

STEP 1: Convert Input(s) to Base Unit

Time Commutation of Buck DCM: 4 Second --> 4 Second No Conversion Required
Duty Cycle of Buck DCM: 0.2 --> No Conversion Required
Input Voltage of Buck DCM: 9.7 Volt --> 9.7 Volt No Conversion Required
Output Voltage of Buck DCM: 5.35 Volt --> 5.35 Volt No Conversion Required
Output Current of Buck DCM: 2.1 Ampere --> 2.1 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_{x(bu_dcm)} = (t_{c(bu_dcm)}*D_{bu_dcm}^2*V_{i(bu_dcm)}*(V_{i(bu_dcm)}-V_{o(bu_dcm)}))/(2*i_{o(bu_dcm)}*V_{o(bu_dcm)}) --> (4*0.2^2*9.7*(9.7-5.35))/(2*2.1*5.35)

Evaluating ... ...

L_{x(bu_dcm)} = 0.30045393858478

STEP 3: Convert Result to Output's Unit

0.30045393858478 Henry --> No Conversion Required

FINAL ANSWER

0.30045393858478 ≈ 0.300454 Henry <-- Critical Inductance of Buck DCM

(Calculation completed in 00.004 seconds)

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< 3 Discontinuous Conduction Mode Calculators

Inductor Value for Buck Regulator (DCM)

Go 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)

Output Current for Buck Regulator (DCM)

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

Output Voltage for Buck Regulator (DCM)

Go Output Voltage of Buck DCM = Input Voltage of Buck DCM/(1+(2*Critical Inductance of Buck DCM*Output Current of Buck DCM)/(Duty Cycle of Buck DCM^2*Input Voltage of Buck DCM*Time Commutation of Buck DCM))

Inductor Value for Buck Regulator (DCM) Formula

What is Inductor in Buck regulator?

An inductor, also called a coil, choke, or reactor is a passive two-terminal electrical component that stores energy in a magnetic field when electric current flows through Buck regulator at DCM mode.

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

Inductor Value for Buck Regulator (DCM) calculator 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 calculate 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 calculate Inductor Value for Buck Regulator (DCM) using this online calculator? To use this online calculator 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. Here is how the Inductor Value for Buck Regulator (DCM) calculation can be explained with given input values -> 0.285756 = (4*0.2^2*9.7*(9.7-5.35))/(2*2.1*5.35).

FAQ

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

How to calculate Inductor Value for Buck Regulator (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 is calculated using 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 calculate Inductor Value for Buck Regulator (DCM), you need 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)}). With our tool, you need to enter the respective value for Time Commutation of Buck DCM, Duty Cycle of Buck DCM, Input Voltage of Buck DCM, Output Voltage of Buck DCM & Output Current of Buck 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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