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Critical value of capacitor for Boost regulator Calculator

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✖A Duty cycle or power cycle is the fraction of one period in which a signal or system is active.ⓘ Duty Cycle [D]
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✖Natural Frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force.ⓘ Natural Frequency [ωn]
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-10%
✖Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.ⓘ Resistance [R]
+10%
-10%
✖Critical capacitor value is minimum value of capacitance in order to have a continuous current in the inductor and, therefore, maintain good regulation.ⓘ Critical value of capacitor for Boost regulator [Cc]
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Created by Parminder Singh
Chandigarh University (CU), Punjab
Parminder Singh has created this Calculator and 50+ more calculators!
Verified by Rachita C
BMS College Of Engineering (BMSCE), Banglore
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Critical value of capacitor for 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: 0.2 --> 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) --> 0.2/(2*35*10)
Evaluating ... ...
Cc = 0.000285714285714286
STEP 3: Convert Result to Output's Unit
0.000285714285714286 Farad -->285.714285714286 Microfarad (Check conversion here)
FINAL ANSWER
285.714285714286 Microfarad <-- Critical capacitor value
(Calculation completed in 00.000 seconds)
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1 Boost Regulator Calculators

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

Critical value of capacitor for Boost regulator Formula

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

Explain Boost regulator?

The boost regulator circuit has many similarities to the buck regulator. However the circuit topology for the boost regulator is slightly different. The fundamental circuit for a boost converter or step up converter consists of an inductor, diode, capacitor, switch and error amplifier with switch control circuitry.
The circuit for the step-up boost converter operates by varying the amount of time in which inductor receives energy from the source.

In the basic block diagram the operation of the boost regulator can be seen that the output voltage appearing across the load is sensed by the sense / error amplifier and an error voltage is generated that controls the switch.
Typically the boost converter switch is controlled by a pulse width modulator, the switch remaining on of longer as more current is drawn by the load and the voltage tends to drop and often there is a fixed frequency oscillator to drive the switching.

How to Calculate Critical value of capacitor for Boost regulator?

Critical value of capacitor for 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 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 Boost regulator using this online calculator? To use this online calculator for Critical value of capacitor for Boost regulator, enter Duty Cycle (D), Natural Frequency (ωn) & Resistance (R) and hit the calculate button. Here is how the Critical value of capacitor for Boost regulator calculation can be explained with given input values -> 285.7143 = 0.2/(2*35*10).

FAQ

What is Critical value of capacitor for Boost regulator?
The Critical value of capacitor for 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 Boost regulator?
The Critical value of capacitor for 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 Boost regulator, you need Duty Cycle (D), Natural Frequency (ωn) & 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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