Inductor Value for Boost Regulator (DCM) Calculator

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

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

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Inductor Value for Boost Regulator (DCM) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Input Voltage of Boost DCM: 9.71 Volt --> 9.71 Volt No Conversion Required
Duty Cycle of Boost DCM: 0.0359 --> No Conversion Required
Time Commutation of Boost DCM: 4.063 Second --> 4.063 Second No Conversion Required
Output Voltage of Boost DCM: 10.006 Volt --> 10.006 Volt No Conversion Required
Output Current of Boost DCM: 1.9899 Ampere --> 1.9899 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_{x(bo_dcm)} = ((V_{i(bo_dcm)}^2)*(D_{bo_dcm}^2)*t_{c(bo_dcm)})/(2*(V_{o(bo_dcm)}-V_{i(bo_dcm)})*i_{o(bo_dcm)}) --> ((9.71^2)*(0.0359^2)*4.063)/(2*(10.006-9.71)*1.9899)

Evaluating ... ...

L_{x(bo_dcm)} = 0.419103435195732

STEP 3: Convert Result to Output's Unit

0.419103435195732 Henry --> No Conversion Required

FINAL ANSWER

0.419103435195732 ≈ 0.419103 Henry <-- Critical Inductance of Boost DCM

(Calculation completed in 00.004 seconds)

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< Discontinuous Conduction Mode Calculators

Duty Cycle for Boost Regulator (DCM)

LaTeX Go Duty Cycle of Boost DCM = sqrt((2*Critical Inductance of Boost DCM*Output Current of Boost DCM/(Input Voltage of Boost DCM*Time Commutation of Boost DCM))*((Output Voltage of Boost DCM/Input Voltage of Boost DCM)-1))

Commutation Period for Boost Regulator (DCM)

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

Inductor Value for Boost Regulator (DCM)

LaTeX Go 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)

Output Voltage for Boost Regulator (DCM)

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

Inductor Value for Boost Regulator (DCM) Formula

LaTeX Go

What is Boost Regulator (DCM)?

A Boost Regulator (DCM) is a DC-to-DC power converter that steps up the voltage from its input to its output.

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

Inductor Value for Boost Regulator (DCM) calculator 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 calculate 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 calculate Inductor Value for Boost Regulator (DCM) using this online calculator? To use this online calculator 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. Here is how the Inductor Value for Boost Regulator (DCM) calculation can be explained with given input values -> 0.421199 = ((9.71^2)*(0.0359^2)*4.063)/(2*(10.006-9.71)*1.9899).

FAQ

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

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