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Critical value of capacitor for Buck regulator Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical capacitor value = (1-Duty Cycle)/(16*Inductance*Natural Frequency^2)
Cc = (1-D)/(16*L*ωn^2)
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.
Inductance - Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it. (Measured in Henry)
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
Inductance: 5 Henry --> 5 Henry No Conversion Required
Natural Frequency: 35 Hertz --> 35 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cc = (1-D)/(16*L*ωn^2) --> (1-0.1)/(16*5*35^2)
Evaluating ... ...
Cc = 9.18367346938776E-06
STEP 3: Convert Result to Output's Unit
9.18367346938776E-06 Farad -->9.18367346938776 Microfarad (Check conversion here)
FINAL ANSWER
9.18367346938776 Microfarad <-- Critical capacitor value
(Calculation completed in 00.000 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 capacitor for Buck regulator Formula

Critical capacitor value = (1-Duty Cycle)/(16*Inductance*Natural Frequency^2)
Cc = (1-D)/(16*L*ωn^2)

Explain Buck regulator operation?

When the switch in the buck regulator is on, the voltage that appears across the inductor is Vin - Vout. Using the inductor equations, the current in the inductor will rise at a rate of (Vin-Vout)/L. At this time the diode D is reverse biased and does not conduct.
When the switch opens, current must still flow as the inductor works to keep the same current flowing. As a result current still flows through the inductor and into the load. The diode, D then forms the return path with a current Idiode equal to Iout flowing through it.

With the switch open, the polarity of the voltage across the inductor has reversed and therefore the current through the inductor decreases with a slope equal to -Vout/L. It is also worth noting that the average input current is less than the average output current.

How to Calculate Critical value of capacitor for Buck regulator?

Critical value of capacitor for Buck regulator calculator uses Critical capacitor value = (1-Duty Cycle)/(16*Inductance*Natural Frequency^2) to calculate the Critical capacitor value, The Critical value of capacitor for Buck regulator formula is defined as the minimum value of capacitance in order to have a continuous current in the inductor and, therefore, maintain good regulation. Critical capacitor value is denoted by Cc symbol.

How to calculate Critical value of capacitor for Buck regulator using this online calculator? To use this online calculator for Critical value of capacitor for Buck regulator, enter Duty Cycle (D), Inductance (L) & Natural Frequency n) and hit the calculate button. Here is how the Critical value of capacitor for Buck regulator calculation can be explained with given input values -> 9.183673 = (1-0.1)/(16*5*35^2).

FAQ

What is Critical value of capacitor for Buck regulator?
The Critical value of capacitor for Buck regulator formula is defined as the minimum value of capacitance in order to have a continuous current in the inductor and, therefore, maintain good regulation and is represented as Cc = (1-D)/(16*L*ωn^2) or Critical capacitor value = (1-Duty Cycle)/(16*Inductance*Natural Frequency^2). A Duty cycle or power cycle is the fraction of one period in which a signal or system is active, Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it & 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 capacitor for Buck regulator?
The Critical value of capacitor for Buck regulator formula is defined as the minimum value of capacitance in order to have a continuous current in the inductor and, therefore, maintain good regulation is calculated using Critical capacitor value = (1-Duty Cycle)/(16*Inductance*Natural Frequency^2). To calculate Critical value of capacitor for Buck regulator, you need Duty Cycle (D), Inductance (L) & Natural Frequency n). With our tool, you need to enter the respective value for Duty Cycle, Inductance & 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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