Output Current 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%
✖Critical Inductance of Buck DCM refers to the minimum value of the inductance required in these converters to maintain current flow through the inductor.ⓘ Critical Inductance of Buck DCM [L_{x(bu_dcm)}]			+10% -10%

✖Output Current of Buck DCM is the current the amplifier draws from the signal source.ⓘ Output Current for Buck Regulator (DCM) [i_{o(bu_dcm)}]

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Formula

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Output Current for Buck Regulator (DCM)

Formula

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

Example

`"2.103178A"=("4s"*("0.2")^2*"9.7V"*("9.7V"-"5.35V"))/(2*"0.3H"*"5.35V")`

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Output Current for Buck Regulator (DCM) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Output Current of Buck DCM - (Measured in Ampere) - Output Current of Buck DCM is the current the amplifier draws from the signal source.
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.
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.

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
Critical Inductance of Buck DCM: 0.3 Henry --> 0.3 Henry No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i_{o(bu_dcm)} = (t_{c(bu_dcm)}*D_{bu_dcm}^2*V_{i(bu_dcm)}*(V_{i(bu_dcm)}-V_{o(bu_dcm)}))/(2*L_{x(bu_dcm)}*V_{o(bu_dcm)}) --> (4*0.2^2*9.7*(9.7-5.35))/(2*0.3*5.35)

Evaluating ... ...

i_{o(bu_dcm)} = 2.10317757009346

STEP 3: Convert Result to Output's Unit

2.10317757009346 Ampere --> No Conversion Required

FINAL ANSWER

2.10317757009346 ≈ 2.103178 Ampere <-- Output Current of Buck DCM

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Power Electronics » Switching Regulator » Switching Voltage Regulator » Buck Regulator » Discontinuous Conduction Mode » Output Current for Buck Regulator (DCM)

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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))

Output Current for Buck Regulator (DCM) Formula

What is DCM mode in Buck regulator?

LDCM=ξ LCCM where 0<ξ<1 for the discontinuous conduction. The discontinuous conduction mode usually occurs in converters that consist of single-quadrant switches and may also occur in converters with two-quadrant switches.

How to Calculate Output Current for Buck Regulator (DCM)?

Output Current for Buck Regulator (DCM) calculator uses 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) to calculate the Output Current of Buck DCM, The Output Current 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 inductance. Output Current of Buck DCM is denoted by i_{o(bu_dcm)} symbol.

How to calculate Output Current for Buck Regulator (DCM) using this online calculator? To use this online calculator for Output Current 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)}) & Critical Inductance of Buck DCM (L_{x(bu_dcm)}) and hit the calculate button. Here is how the Output Current for Buck Regulator (DCM) calculation can be explained with given input values -> 2.000293 = (4*0.2^2*9.7*(9.7-5.35))/(2*0.3*5.35).

FAQ

What is Output Current for Buck Regulator (DCM)?

The Output Current 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 inductance and is represented as i_{o(bu_dcm)} = (t_{c(bu_dcm)}*D_{bu_dcm}^2*V_{i(bu_dcm)}*(V_{i(bu_dcm)}-V_{o(bu_dcm)}))/(2*L_{x(bu_dcm)}*V_{o(bu_dcm)}) or 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). 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 & Critical Inductance of Buck DCM refers to the minimum value of the inductance required in these converters to maintain current flow through the inductor.

How to calculate Output Current for Buck Regulator (DCM)?

The Output Current 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 inductance is calculated using 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). To calculate Output Current 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)}) & Critical Inductance of Buck DCM (L_{x(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 & Critical Inductance 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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