Output Voltage for Buck Regulator (DCM) Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Vo(bu_dcm) = Vi(bu_dcm)/(1+(2*Lx(bu_dcm)*io(bu_dcm))/(Dbu_dcm^2*Vi(bu_dcm)*tc(bu_dcm)))
This formula uses 6 Variables
Variables Used
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.
Input Voltage of Buck DCM - (Measured in Volt) - Input Voltage of Buck DCM is the voltage supplied to the 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.
Output Current of Buck DCM - (Measured in Ampere) - Output Current of Buck DCM is the current the amplifier draws from the signal source.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Input Voltage of Buck DCM: 9.7 Volt --> 9.7 Volt No Conversion Required
Critical Inductance of Buck DCM: 0.3 Henry --> 0.3 Henry No Conversion Required
Output Current of Buck DCM: 2.1 Ampere --> 2.1 Ampere No Conversion Required
Duty Cycle of Buck DCM: 0.2 --> No Conversion Required
Time Commutation of Buck DCM: 4 Second --> 4 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vo(bu_dcm) = Vi(bu_dcm)/(1+(2*Lx(bu_dcm)*io(bu_dcm))/(Dbu_dcm^2*Vi(bu_dcm)*tc(bu_dcm))) --> 9.7/(1+(2*0.3*2.1)/(0.2^2*9.7*4))
Evaluating ... ...
Vo(bu_dcm) = 5.35362731152205
STEP 3: Convert Result to Output's Unit
5.35362731152205 Volt --> No Conversion Required
FINAL ANSWER
5.35362731152205 5.353627 Volt <-- Output Voltage of Buck DCM
(Calculation completed in 00.004 seconds)

Credits

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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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 Voltage for Buck Regulator (DCM) Formula

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))
Vo(bu_dcm) = Vi(bu_dcm)/(1+(2*Lx(bu_dcm)*io(bu_dcm))/(Dbu_dcm^2*Vi(bu_dcm)*tc(bu_dcm)))

What is output voltage ?

Output Voltage For Boost Regulator (CCM) is the receiver part that produces voltage. when acquired energy loss along with the load, the calculated load across the load known as output voltage.

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

Output Voltage for Buck Regulator (DCM) calculator uses 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)) to calculate the Output Voltage of Buck DCM, The Output Voltage for Buck Regulator (DCM) is the receiver part that produces voltage. when acquired energy loss along with the load, the calculated load across the load known as output voltage. Output Voltage of Buck DCM is denoted by Vo(bu_dcm) symbol.

How to calculate Output Voltage for Buck Regulator (DCM) using this online calculator? To use this online calculator for Output Voltage for Buck Regulator (DCM), enter Input Voltage of Buck DCM (Vi(bu_dcm)), Critical Inductance of Buck DCM (Lx(bu_dcm)), Output Current of Buck DCM (io(bu_dcm)), Duty Cycle of Buck DCM (Dbu_dcm) & Time Commutation of Buck DCM (tc(bu_dcm)) and hit the calculate button. Here is how the Output Voltage for Buck Regulator (DCM) calculation can be explained with given input values -> 5.353627 = 9.7/(1+(2*0.3*2.1)/(0.2^2*9.7*4)).

FAQ

What is Output Voltage for Buck Regulator (DCM)?
The Output Voltage for Buck Regulator (DCM) is the receiver part that produces voltage. when acquired energy loss along with the load, the calculated load across the load known as output voltage and is represented as Vo(bu_dcm) = Vi(bu_dcm)/(1+(2*Lx(bu_dcm)*io(bu_dcm))/(Dbu_dcm^2*Vi(bu_dcm)*tc(bu_dcm))) or 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)). Input Voltage of Buck DCM is the voltage supplied to the 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, Output Current of Buck DCM is the current the amplifier draws from the signal source, 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 & 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.
How to calculate Output Voltage for Buck Regulator (DCM)?
The Output Voltage for Buck Regulator (DCM) is the receiver part that produces voltage. when acquired energy loss along with the load, the calculated load across the load known as output voltage is calculated using 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)). To calculate Output Voltage for Buck Regulator (DCM), you need Input Voltage of Buck DCM (Vi(bu_dcm)), Critical Inductance of Buck DCM (Lx(bu_dcm)), Output Current of Buck DCM (io(bu_dcm)), Duty Cycle of Buck DCM (Dbu_dcm) & Time Commutation of Buck DCM (tc(bu_dcm)). With our tool, you need to enter the respective value for Input Voltage of Buck DCM, Critical Inductance of Buck DCM, Output Current of Buck DCM, Duty Cycle of Buck DCM & Time Commutation 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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