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Critical value of inductor for Buck regulator Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical inductor value = ((1-Duty Cycle)*Resistance)/(2*Natural Frequency)
Lc = ((1-D)*R)/(2*ωn)
This formula uses 3 Variables
Variables Used
Duty Cycle- A Duty cycle or power cycle is the fraction of one period in which a signal or system is active.
Resistance - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm. (Measured in Ohm)
Natural Frequency - Natural Frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force. (Measured in Hertz)
STEP 1: Convert Input(s) to Base Unit
Duty Cycle: 0.1 --> No Conversion Required
Resistance: 10 Ohm --> 10 Ohm No Conversion Required
Natural Frequency: 35 Hertz --> 35 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lc = ((1-D)*R)/(2*ωn) --> ((1-0.1)*10)/(2*35)
Evaluating ... ...
Lc = 0.128571428571429
STEP 3: Convert Result to Output's Unit
0.128571428571429 Henry -->128.571428571429 Millihenry (Check conversion here)
FINAL ANSWER
128.571428571429 Millihenry <-- Critical inductor value
(Calculation completed in 00.016 seconds)

2 Buck Regulator Calculators

Critical value of capacitor for Buck regulator
Critical capacitor value = (1-Duty Cycle)/(16*Inductance*Natural Frequency^2) Go
Critical value of inductor for Buck regulator
Critical inductor value = ((1-Duty Cycle)*Resistance)/(2*Natural Frequency) Go

Critical value of inductor for Buck regulator Formula

Critical inductor value = ((1-Duty Cycle)*Resistance)/(2*Natural Frequency)
Lc = ((1-D)*R)/(2*ωn)

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 inductor value = ((1-Duty Cycle)*Resistance)/(2*Natural Frequency) to calculate the Critical inductor value, 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 inductor value is denoted by Lc 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) & Natural Frequency n) and hit the calculate button. Here is how the Critical value of inductor for Buck regulator calculation can be explained with given input values -> 128.5714 = ((1-0.1)*10)/(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 Lc = ((1-D)*R)/(2*ωn) or Critical inductor value = ((1-Duty Cycle)*Resistance)/(2*Natural Frequency). A Duty cycle or power cycle is the fraction of one period in which a signal or system is active, Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm & Natural Frequency is the frequency at which a 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 inductor value = ((1-Duty Cycle)*Resistance)/(2*Natural Frequency). To calculate Critical value of inductor for Buck regulator, you need Duty Cycle (D), Resistance (R) & Natural Frequency n). With our tool, you need to enter the respective value for Duty Cycle, Resistance & Natural 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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