✖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.ⓘ Critical Inductance of Boost DCM [L_{x(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%
✖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%
✖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%

✖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 for Boost Regulator (DCM) [D_{bo_dcm}]

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Formula

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Duty Cycle for Boost Regulator (DCM)

Formula

`"D"_{"bo_dcm"} = sqrt((2*"L"_{"x(bo_dcm)"}*"i"_{"o(bo_dcm)"}/("V"_{"i(bo_dcm)"}*"t"_{"c(bo_dcm)"}))*(("V"_{"o(bo_dcm)"}/"V"_{"i(bo_dcm)"})-1))`

Example

`"0.0359"=sqrt((2*"0.4191H"*"1.9899A"/("9.71V"*"4.063s"))*(("10.006V"/"9.71V")-1))`

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Duty Cycle for Boost Regulator (DCM) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
D_{bo_dcm} = sqrt((2*L_{x(bo_dcm)}*i_{o(bo_dcm)}/(V_{i(bo_dcm)}*t_{c(bo_dcm)}))*((V_{o(bo_dcm)}/V_{i(bo_dcm)})-1))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
Output Current of Boost DCM - (Measured in Ampere) - Output Current of Boost DCM is the current the amplifier draws from the signal source.
Input Voltage of Boost DCM - (Measured in Volt) - Input Voltage of Boost DCM is the voltage supplied to the 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.

STEP 1: Convert Input(s) to Base Unit

Critical Inductance of Boost DCM: 0.4191 Henry --> 0.4191 Henry No Conversion Required
Output Current of Boost DCM: 1.9899 Ampere --> 1.9899 Ampere No Conversion Required
Input Voltage of Boost DCM: 9.71 Volt --> 9.71 Volt 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_{bo_dcm} = sqrt((2*L_{x(bo_dcm)}*i_{o(bo_dcm)}/(V_{i(bo_dcm)}*t_{c(bo_dcm)}))*((V_{o(bo_dcm)}/V_{i(bo_dcm)})-1)) --> sqrt((2*0.4191*1.9899/(9.71*4.063))*((10.006/9.71)-1))

Evaluating ... ...

D_{bo_dcm} = 0.0358998528719057

STEP 3: Convert Result to Output's Unit

0.0358998528719057 --> No Conversion Required

FINAL ANSWER

0.0358998528719057 ≈ 0.0359 <-- Duty Cycle of Boost DCM

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power Electronics » Switching Regulator » Switching Voltage Regulator » Boost Regulator » Discontinuous Conduction Mode » Duty Cycle for Boost Regulator (DCM)

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< 5 Discontinuous Conduction Mode Calculators

Duty Cycle for Boost Regulator (DCM)

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)

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)

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 Current for Boost Regulator (DCM)

Go Output Current 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 Voltage of Boost DCM-Input Voltage of Boost DCM))

Output Voltage for Boost Regulator (DCM)

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))

Duty Cycle for Boost Regulator (DCM) Formula

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 Duty Cycle for Boost Regulator (DCM)?

Duty Cycle for Boost Regulator (DCM) calculator uses 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)) to calculate the Duty Cycle of Boost DCM, The Duty Cycle for Boost Regulator (DCM) formula is defined as the ratio of time a load or circuit is ON compared to the time the load or circuit is Off. Duty Cycle of Boost DCM is denoted by D_{bo_dcm} symbol.

How to calculate Duty Cycle for Boost Regulator (DCM) using this online calculator? To use this online calculator for Duty Cycle for Boost Regulator (DCM), enter Critical Inductance of Boost DCM (L_{x(bo_dcm)}), Output Current of Boost DCM (i_{o(bo_dcm)}), Input Voltage of Boost DCM (V_{i(bo_dcm)}), Time Commutation of Boost DCM (t_{c(bo_dcm)}) & Output Voltage of Boost DCM (V_{o(bo_dcm)}) and hit the calculate button. Here is how the Duty Cycle for Boost Regulator (DCM) calculation can be explained with given input values -> 0.03581 = sqrt((2*0.4191*1.9899/(9.71*4.063))*((10.006/9.71)-1)).

FAQ

What is Duty Cycle for Boost Regulator (DCM)?

The Duty Cycle for Boost Regulator (DCM) formula is defined as the ratio of time a load or circuit is ON compared to the time the load or circuit is Off and is represented as D_{bo_dcm} = sqrt((2*L_{x(bo_dcm)}*i_{o(bo_dcm)}/(V_{i(bo_dcm)}*t_{c(bo_dcm)}))*((V_{o(bo_dcm)}/V_{i(bo_dcm)})-1)) or 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)). 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, Output Current of Boost DCM is the current the amplifier draws from the signal source, Input Voltage of Boost DCM is the voltage supplied to the 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.

How to calculate Duty Cycle for Boost Regulator (DCM)?

The Duty Cycle for Boost Regulator (DCM) formula is defined as the ratio of time a load or circuit is ON compared to the time the load or circuit is Off is calculated using 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)). To calculate Duty Cycle for Boost Regulator (DCM), you need Critical Inductance of Boost DCM (L_{x(bo_dcm)}), Output Current of Boost DCM (i_{o(bo_dcm)}), Input Voltage of Boost DCM (V_{i(bo_dcm)}), Time Commutation of Boost DCM (t_{c(bo_dcm)}) & Output Voltage of Boost DCM (V_{o(bo_dcm)}). With our tool, you need to enter the respective value for 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 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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