Critical Value of Capacitor for Buck-Boost Regulator Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Capacitance = Duty Cycle/(2*Frequency*Resistance)
Cx = D/(2*f*R)
This formula uses 4 Variables
Variables Used
Critical Capacitance - (Measured in Farad) - Critical capacitance is minimum value of capacitance in order to have a continuous current in the inductor and, therefore, maintain good regulation.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Duty Cycle: 0.21 --> No Conversion Required
Frequency: 35 Hertz --> 35 Hertz No Conversion Required
Resistance: 10.1 Ohm --> 10.1 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cx = D/(2*f*R) --> 0.21/(2*35*10.1)
Evaluating ... ...
Cx = 0.000297029702970297
STEP 3: Convert Result to Output's Unit
0.000297029702970297 Farad -->297.029702970297 Microfarad (Check conversion here)
FINAL ANSWER
297.029702970297 297.0297 Microfarad <-- Critical Capacitance
(Calculation completed in 00.004 seconds)

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Chandigarh University (CU), Punjab
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1 Buck-Boost Regulator Calculators

Critical Value of Capacitor for Buck-Boost Regulator
Go Critical Capacitance = Duty Cycle/(2*Frequency*Resistance)

Critical Value of Capacitor for Buck-Boost Regulator Formula

Critical Capacitance = Duty Cycle/(2*Frequency*Resistance)
Cx = D/(2*f*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 Capacitance = Duty Cycle/(2*Frequency*Resistance) to calculate the Critical Capacitance, 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 Capacitance is denoted by Cx 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), Frequency (f) & 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 -> 3E+8 = 0.21/(2*35*10.1).

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 Cx = D/(2*f*R) or Critical Capacitance = Duty Cycle/(2*Frequency*Resistance). 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, Frequency is the frequency at which a voltage regulator circuit or system tends to oscillate in the absence of any driving or damping force & Resistance is a measure of the opposition to current flow in any voltage regulator 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 Capacitance = Duty Cycle/(2*Frequency*Resistance). To calculate Critical Value of Capacitor for Buck-Boost Regulator, you need Duty Cycle (D), Frequency (f) & Resistance (R). With our tool, you need to enter the respective value for Duty Cycle, 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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