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Commutation Period for Boost Regulator (DCM) Formula

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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. Check FAQs

t c(bo_dcm) = (\frac{2 \cdot L x(bo_dcm) \cdot i o(bo_dcm)}{({D bo_dcm}^{2}) \cdot V i(bo_dcm)}) \cdot ((\frac{V o(bo_dcm)}{V i(bo_dcm)}) - 1)

t_{c(bo_dcm)} - Time Commutation of Boost DCM?L_{x(bo_dcm)} - Critical Inductance of Boost DCM?i_{o(bo_dcm)} - Output Current of Boost DCM?D_{bo_dcm} - Duty Cycle of Boost DCM?V_{i(bo_dcm)} - Input Voltage of Boost DCM?V_{o(bo_dcm)} - Output Voltage of Boost DCM?

Commutation Period for Boost Regulator (DCM) Example

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Here is how the Commutation Period for Boost Regulator (DCM) equation looks like with Values.

Here is how the Commutation Period for Boost Regulator (DCM) equation looks like with Units.

Here is how the Commutation Period for Boost Regulator (DCM) equation looks like.

4.063 = (\frac{2 \cdot 0.4191 \cdot 1.9899}{({0.0359}^{2}) \cdot 9.71}) \cdot ((\frac{10.006}{9.71}) - 1)

4.063s = (\frac{2 \cdot 0.4191H \cdot 1.9899A}{({0.0359}^{2}) \cdot 9.71V}) \cdot ((\frac{10.006V}{9.71V}) - 1)

4.063 = (\frac{2 \cdot 0.4191 \cdot 1.9899}{({0.0359}^{2}) \cdot 9.71}) \cdot ((\frac{10.006}{9.71}) - 1)

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Commutation Period for Boost Regulator (DCM) Solution

Follow our step by step solution on how to calculate Commutation Period for Boost Regulator (DCM)?

FIRST Step Consider the formula

t c(bo_dcm) = (\frac{2 \cdot L x(bo_dcm) \cdot i o(bo_dcm)}{({D bo_dcm}^{2}) \cdot V i(bo_dcm)}) \cdot ((\frac{V o(bo_dcm)}{V i(bo_dcm)}) - 1)

Next Step Substitute values of Variables

∴

t c(bo_dcm) = (\frac{2 \cdot 0.4191H \cdot 1.9899A}{({0.0359}^{2}) \cdot 9.71V}) \cdot ((\frac{10.006V}{9.71V}) - 1)

Next Step Prepare to Evaluate

∴

t c(bo_dcm) = (\frac{2 \cdot 0.4191 \cdot 1.9899}{({0.0359}^{2}) \cdot 9.71}) \cdot ((\frac{10.006}{9.71}) - 1)

Next Step Evaluate

∴

t c(bo_dcm) = 4.06296669748066s

LAST Step Rounding Answer

∴

t c(bo_dcm) = 4.063s

Commutation Period for Boost Regulator (DCM) Formula Elements

Variables

Time Commutation of Boost DCM

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.

Symbol: t_{c(bo_dcm)}

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Commutation of Boost DCM

Critical Inductance of Boost DCM

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.

Symbol: L_{x(bo_dcm)}

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Critical Inductance of Boost DCM

Output Current of Boost DCM

Output Current of Boost DCM is the current the amplifier draws from the signal source.

Symbol: i_{o(bo_dcm)}

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Output Current of Boost DCM

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.

Symbol: D_{bo_dcm}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Duty Cycle of Boost DCM

Input Voltage of Boost DCM

Input Voltage of Boost DCM is the voltage supplied to the voltage regulator circuit.

Symbol: V_{i(bo_dcm)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Input Voltage of Boost DCM

Output Voltage of Boost DCM

Output Voltage of Boost DCM signifies the voltage of the signal after it has been regulated by a voltage regulator circuit.

Symbol: V_{o(bo_dcm)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Output Voltage of Boost DCM

Other formulas in Discontinuous Conduction Mode category

Go Duty Cycle for Boost Regulator (DCM)

D bo_dcm = \sqrt{(2 \cdot L x(bo_dcm) \cdot \frac{i o(bo_dcm)}{V i(bo_dcm) \cdot t c(bo_dcm)}) \cdot ((\frac{V o(bo_dcm)}{V i(bo_dcm)}) - 1)}

Go Output Voltage for Boost Regulator (DCM)

V o(bo_dcm) = V i(bo_dcm) + (\frac{{V i(bo_dcm)}^{2} \cdot {D bo_dcm}^{2} \cdot t c(bo_dcm)}{2 \cdot L x(bo_dcm) \cdot i o(bo_dcm)})

Go Inductor Value for Boost Regulator (DCM)

L x(bo_dcm) = \frac{({V i(bo_dcm)}^{2}) \cdot ({D bo_dcm}^{2}) \cdot t c(bo_dcm)}{2 \cdot (V o(bo_dcm) - V i(bo_dcm)) \cdot i o(bo_dcm)}

Go Output Current for Boost Regulator (DCM)

i o(bo_dcm) = \frac{({V i(bo_dcm)}^{2}) \cdot {D bo_dcm}^{2} \cdot t c(bo_dcm)}{2 \cdot L x(bo_dcm) \cdot (V o(bo_dcm) - V i(bo_dcm))}

How to Evaluate Commutation Period for Boost Regulator (DCM)?

Commutation Period for Boost Regulator (DCM) evaluator uses 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) to evaluate the Time Commutation of Boost DCM, The Commutation Period for Boost Regulator (DCM) formula is defined as the process of transferring current from one connection to another within an electric circuit. Time Commutation of Boost DCM is denoted by t_{c(bo_dcm)} symbol.

How to evaluate Commutation Period for Boost Regulator (DCM) using this online evaluator? To use this online evaluator for Commutation Period for Boost Regulator (DCM), enter Critical Inductance of Boost DCM (L_{x(bo_dcm)}), Output Current of Boost DCM (i_{o(bo_dcm)}), Duty Cycle of Boost DCM (D_{bo_dcm}), Input Voltage of Boost DCM (V_{i(bo_dcm)}) & Output Voltage of Boost DCM (V_{o(bo_dcm)}) and hit the calculate button.

FAQs on Commutation Period for Boost Regulator (DCM)

What is the formula to find Commutation Period for Boost Regulator (DCM)?

The formula of Commutation Period for Boost Regulator (DCM) is expressed as 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). Here is an example- 4.042753 = ((2*0.4191*1.9899)/((0.0359^2)*9.71))*((10.006/9.71)-1).

How to calculate Commutation Period for Boost Regulator (DCM)?

With Critical Inductance of Boost DCM (L_{x(bo_dcm)}), Output Current of Boost DCM (i_{o(bo_dcm)}), Duty Cycle of Boost DCM (D_{bo_dcm}), Input Voltage of Boost DCM (V_{i(bo_dcm)}) & Output Voltage of Boost DCM (V_{o(bo_dcm)}) we can find Commutation Period for Boost Regulator (DCM) using the formula - 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).

Can the Commutation Period for Boost Regulator (DCM) be negative?

No, the Commutation Period for Boost Regulator (DCM), measured in Time cannot be negative.

Which unit is used to measure Commutation Period for Boost Regulator (DCM)?

Commutation Period for Boost Regulator (DCM) is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Commutation Period for Boost Regulator (DCM) can be measured.

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Commutation Period for Boost Regulator (DCM) Formula

Commutation Period for Boost Regulator (DCM) Example

Commutation Period for Boost Regulator (DCM) Solution

Commutation Period for Boost Regulator (DCM) Formula Elements

Other formulas in Discontinuous Conduction Mode category

How to Evaluate Commutation Period for Boost Regulator (DCM)?

FAQs on Commutation Period for Boost Regulator (DCM)

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