Output Voltage 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%
✖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%

✖Output Voltage of Boost DCM signifies the voltage of the signal after it has been regulated by a voltage regulator circuit.ⓘ Output Voltage for Boost Regulator (DCM) [V_{o(bo_dcm)}]

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Formula

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Output Voltage for Boost Regulator (DCM)

Formula

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

Example

`"10.006V"="9.71V"+((("9.71V")^2*("0.0359")^2*"4.063s")/(2*"0.4191H"*"1.9899A"))`

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Output Voltage for Boost Regulator (DCM) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_{o(bo_dcm)} = V_{i(bo_dcm)}+((V_{i(bo_dcm)}^2*D_{bo_dcm}^2*t_{c(bo_dcm)})/(2*L_{x(bo_dcm)}*i_{o(bo_dcm)})) --> 9.71+((9.71^2*0.0359^2*4.063)/(2*0.4191*1.9899))

Evaluating ... ...

V_{o(bo_dcm)} = 10.0060024261941

STEP 3: Convert Result to Output's Unit

10.0060024261941 Volt --> No Conversion Required

FINAL ANSWER

10.0060024261941 ≈ 10.006 Volt <-- Output Voltage of Boost DCM

(Calculation completed in 00.020 seconds)

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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))

Output Voltage for Boost Regulator (DCM) Formula

What is Boost regulator (DCM)?

A Boost Regulator (DCM) (step-up converter) is a DC-to-DC power converter that steps up voltage (while stepping down current) from its input (supply) to its output (load).

How to Calculate Output Voltage for Boost Regulator (DCM)?

Output Voltage for Boost Regulator (DCM) calculator uses 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)) to calculate the Output Voltage of Boost DCM, The Output Voltage for Boost Regulator (DCM) formula is defined as the voltage released by a device, such as a voltage regulator or a generator. Output Voltage of Boost DCM is denoted by V_{o(bo_dcm)} symbol.

How to calculate Output Voltage for Boost Regulator (DCM) using this online calculator? To use this online calculator for Output Voltage 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)}), Critical Inductance of Boost DCM (L_{x(bo_dcm)}) & Output Current of Boost DCM (i_{o(bo_dcm)}) and hit the calculate button. Here is how the Output Voltage for Boost Regulator (DCM) calculation can be explained with given input values -> 10.00748 = 9.71+((9.71^2*0.0359^2*4.063)/(2*0.4191*1.9899)).

FAQ

What is Output Voltage for Boost Regulator (DCM)?

The Output Voltage for Boost Regulator (DCM) formula is defined as the voltage released by a device, such as a voltage regulator or a generator and is represented as V_{o(bo_dcm)} = V_{i(bo_dcm)}+((V_{i(bo_dcm)}^2*D_{bo_dcm}^2*t_{c(bo_dcm)})/(2*L_{x(bo_dcm)}*i_{o(bo_dcm)})) or 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)). 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, 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.

How to calculate Output Voltage for Boost Regulator (DCM)?

The Output Voltage for Boost Regulator (DCM) formula is defined as the voltage released by a device, such as a voltage regulator or a generator is calculated using 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)). To calculate Output Voltage 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)}), Critical Inductance of Boost DCM (L_{x(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, Critical Inductance 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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