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Critical value of capacitor for Buck-Boost regulator Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical capacitor value = Duty Cycle/(2*Natural Frequency*Resistance)
Cc = D/(2*ωn*R)
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.
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)
Resistance - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm. (Measured in Ohm)
STEP 1: Convert Input(s) to Base Unit
Duty Cycle: 0.1 --> No Conversion Required
Natural Frequency: 35 Hertz --> 35 Hertz No Conversion Required
Resistance: 10 Ohm --> 10 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cc = D/(2*ωn*R) --> 0.1/(2*35*10)
Evaluating ... ...
Cc = 0.000142857142857143
STEP 3: Convert Result to Output's Unit
0.000142857142857143 Farad -->142.857142857143 Microfarad (Check conversion here)
FINAL ANSWER
142.857142857143 Microfarad <-- Critical capacitor value
(Calculation completed in 00.000 seconds)

1 Buck-Boost Regulator Calculators

Critical value of capacitor for Buck-Boost regulator
Critical capacitor value = Duty Cycle/(2*Natural Frequency*Resistance) Go

Critical value of capacitor for Buck-Boost regulator Formula

Critical capacitor value = Duty Cycle/(2*Natural Frequency*Resistance)
Cc = D/(2*ωn*R)

Explain buck-boost regulator?

A buck-boost boost converter can supply a regulated DC output from a power source delivering a voltage either below or above the regulated output voltage. A buck-boost converter circuit combines elements of both a buck converter and a boost converter, however they are often larger in footprint than either alternative. The below simplified circuit diagram shows a typical flow of current during a switching event through a buck-boost converter.
The input voltage source is connected to a solid state device. The second switch used is a diode. The diode is connected, in reverse to the direction of power flow from source, to a capacitor and the load and the two are connected in parallel. The controlled switch is turned on and off by using Pulse Width Modulation(PWM). PWM can be time based or frequency based.
The Buck Boost converter works two modes of operation. The first mode is when the switch is on and conducting.

How to Calculate Critical value of capacitor for Buck-Boost regulator?

Critical value of capacitor for Buck-Boost regulator calculator uses Critical capacitor value = Duty Cycle/(2*Natural Frequency*Resistance) to calculate the Critical capacitor value, The Critical value of capacitor for Buck-Boost 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-Boost regulator using this online calculator? To use this online calculator for Critical value of capacitor for Buck-Boost regulator, enter Duty Cycle (D), Natural Frequency n) & Resistance (R) and hit the calculate button. Here is how the Critical value of capacitor for Buck-Boost regulator calculation can be explained with given input values -> 142.8571 = 0.1/(2*35*10).

FAQ

What is Critical value of capacitor for Buck-Boost regulator?
The Critical value of capacitor for Buck-Boost 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 = D/(2*ωn*R) or Critical capacitor value = Duty Cycle/(2*Natural Frequency*Resistance). A Duty cycle or power cycle is the fraction of one period in which a signal or system is active, Natural Frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force & Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.
How to calculate Critical value of capacitor for Buck-Boost regulator?
The Critical value of capacitor for Buck-Boost 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 = Duty Cycle/(2*Natural Frequency*Resistance). To calculate Critical value of capacitor for Buck-Boost regulator, you need Duty Cycle (D), Natural Frequency n) & Resistance (R). With our tool, you need to enter the respective value for Duty Cycle, Natural Frequency & Resistance 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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