Critical Value of Inductor for Buck Regulator Calculator

✖A Duty cycle or power cycle is the fraction of one period in which a signal or system is active in a voltage regulator circuit.ⓘ Duty Cycle [D]			+10% -10%
✖Resistance is a measure of the opposition to current flow in any voltage regulator circuit. Its S.I unit is ohm.ⓘ Resistance [R]			+10% -10%
✖Frequency is the frequency at which a voltage regulator circuit or system tends to oscillate in the absence of any driving or damping force.ⓘ Frequency [f]			+10% -10%

✖Critical Inductance refers to the minimum value of the inductance required in these converters to maintain continuous conduction mode (CCM) or continuous current flow through the inductor.ⓘ Critical Value of Inductor for Buck Regulator [L_x]

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Critical Value of Inductor for Buck Regulator

Formula

`"L"_{"x"} = ((1-"D")*"R")/(2*"f")`

Example

`"0.113986H"=((1-"0.21")*"10.1Ω")/(2*"35Hz")`

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Critical Value of Inductor for Buck Regulator Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Inductance = ((1-Duty Cycle)*Resistance)/(2*Frequency)
L_x = ((1-D)*R)/(2*f)
This formula uses 4 Variables

Variables Used

Critical Inductance - (Measured in Henry) - Critical Inductance refers to the minimum value of the inductance required in these converters to maintain continuous conduction mode (CCM) or continuous current flow through the inductor.
Duty Cycle - A Duty cycle or power cycle is the fraction of one period in which a signal or system is active in a voltage regulator circuit.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in any voltage regulator circuit. Its S.I unit is ohm.
Frequency - (Measured in Hertz) - Frequency is the frequency at which a voltage regulator circuit or system tends to oscillate in the absence of any driving or damping force.

STEP 1: Convert Input(s) to Base Unit

Duty Cycle: 0.21 --> No Conversion Required
Resistance: 10.1 Ohm --> 10.1 Ohm No Conversion Required
Frequency: 35 Hertz --> 35 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_x = ((1-D)*R)/(2*f) --> ((1-0.21)*10.1)/(2*35)

Evaluating ... ...

L_x = 0.113985714285714

STEP 3: Convert Result to Output's Unit

0.113985714285714 Henry --> No Conversion Required

FINAL ANSWER

0.113985714285714 ≈ 0.113986 Henry <-- Critical Inductance

(Calculation completed in 00.004 seconds)

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Created by Parminder Singh

Chandigarh University (CU), Punjab

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BMS College Of Engineering (BMSCE), Banglore

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< 2 Buck Regulator Calculators

Critical Value of Capacitor for Buck Regulator

Go Critical Capacitance in Buck = (1-Duty Cycle)/(16*Critical Inductance*Frequency^2)

Critical Value of Inductor for Buck Regulator

Go Critical Inductance = ((1-Duty Cycle)*Resistance)/(2*Frequency)

Critical Value of Inductor for Buck Regulator Formula

Critical Inductance = ((1-Duty Cycle)*Resistance)/(2*Frequency)
L_x = ((1-D)*R)/(2*f)

Explain Buck regulators?

The fundamental circuit for a step down converter or buck regulator consists of an inductor, diode, capacitor, switch and error amplifier with switch control circuitry.
A key aspect of switch mode power supply regulators is the input and output filtering. This is a particular issue because of the switching that occurs at the input.

In reality ripple voltage on the output is dependent not only on the output smoothing, but more importantly on an input filter capacitor.

How to Calculate Critical Value of Inductor for Buck Regulator?

Critical Value of Inductor for Buck Regulator calculator uses Critical Inductance = ((1-Duty Cycle)*Resistance)/(2*Frequency) to calculate the Critical Inductance, The Critical value of inductor for Buck regulator formula is defined as the minimum value of inductance in order to have a continuous current in the inductor and, therefore, maintain good regulation. Critical Inductance is denoted by L_x symbol.

How to calculate Critical Value of Inductor for Buck Regulator using this online calculator? To use this online calculator for Critical Value of Inductor for Buck Regulator, enter Duty Cycle (D), Resistance (R) & Frequency (f) and hit the calculate button. Here is how the Critical Value of Inductor for Buck Regulator calculation can be explained with given input values -> 0.113986 = ((1-0.21)*10.1)/(2*35).

FAQ

What is Critical Value of Inductor for Buck Regulator?

The Critical value of inductor for Buck regulator formula is defined as the minimum value of inductance in order to have a continuous current in the inductor and, therefore, maintain good regulation and is represented as L_x = ((1-D)*R)/(2*f) or Critical Inductance = ((1-Duty Cycle)*Resistance)/(2*Frequency). A Duty cycle or power cycle is the fraction of one period in which a signal or system is active in a voltage regulator circuit, Resistance is a measure of the opposition to current flow in any voltage regulator circuit. Its S.I unit is ohm & Frequency is the frequency at which a voltage regulator circuit or system tends to oscillate in the absence of any driving or damping force.

How to calculate Critical Value of Inductor for Buck Regulator?

The Critical value of inductor for Buck regulator formula is defined as the minimum value of inductance in order to have a continuous current in the inductor and, therefore, maintain good regulation is calculated using Critical Inductance = ((1-Duty Cycle)*Resistance)/(2*Frequency). To calculate Critical Value of Inductor for Buck Regulator, you need Duty Cycle (D), Resistance (R) & Frequency (f). With our tool, you need to enter the respective value for Duty Cycle, Resistance & Frequency 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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