AC Ripple Voltage Calculator

✖RMS Voltage is dc voltage which develops across the circuit. The RMS value of AC is greater than the average value.ⓘ RMS Voltage [V_rms]			+10% -10%
✖Load Voltage is defined as the magnitude of voltage over a complete cycle in load connected to the chopper.ⓘ Load Voltage [V_L]			+10% -10%

✖Ripple Voltage as the ratio of RMS value of an alternating current component in the rectified output to the average value of rectified output.ⓘ AC Ripple Voltage [V_r]

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Formula

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AC Ripple Voltage

Formula

`"V"_{"r"} = sqrt("V"_{"rms"}^2-"V"_{"L"}^2)`

Example

`"39.97612V"=sqrt(("44.7V")^2-("20V")^2)`

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AC Ripple Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ripple Voltage = sqrt(RMS Voltage^2-Load Voltage^2)
V_r = sqrt(V_rms^2-V_L^2)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Ripple Voltage - (Measured in Volt) - Ripple Voltage as the ratio of RMS value of an alternating current component in the rectified output to the average value of rectified output.
RMS Voltage - (Measured in Volt) - RMS Voltage is dc voltage which develops across the circuit. The RMS value of AC is greater than the average value.
Load Voltage - (Measured in Volt) - Load Voltage is defined as the magnitude of voltage over a complete cycle in load connected to the chopper.

STEP 1: Convert Input(s) to Base Unit

RMS Voltage: 44.7 Volt --> 44.7 Volt No Conversion Required
Load Voltage: 20 Volt --> 20 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_r = sqrt(V_rms^2-V_L^2) --> sqrt(44.7^2-20^2)

Evaluating ... ...

V_r = 39.9761178705487

STEP 3: Convert Result to Output's Unit

39.9761178705487 Volt --> No Conversion Required

FINAL ANSWER

39.9761178705487 ≈ 39.97612 Volt <-- Ripple Voltage

(Calculation completed in 00.004 seconds)

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Created by Gokulraj

Anna university (Au), Tamilnadu

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Chandigarh University (CU), Punjab

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< 13 Chopper Core Factors Calculators

Excess Work Due to Thyristor 1 in Chopper Circuit

Go Excess Work = 0.5*Limiting Inductance*((Output Current+(Reverse Recovery Time*Capacitor Commutation Voltage)/Limiting Inductance)-Output Current^2)

Critical Inductance

Go Inductance = Load Voltage^2*((Source Voltage-Load Voltage)/(2*Chopping Frequency*Source Voltage*Load Power))

Energy Released by Inductor to Load

Go Energy Released = (Output Voltage-Input Voltage)*((Current 1+Current 2)/2)*Circuit Turn Off Time

Peak to Peak Ripple Voltage of Capacitor

Go Ripple Voltage in Buck Converter = (1/Capacitance)*int((Change in Current/4)*x,x,0,Time/2)

Energy Input to Inductor from Source

Go Energy Input = Source Voltage*((Current 1+Current 2)/2)*Chopper On Time

Critical Capacitance

Go Critical Capacitance = (Output Current/(2*Source Voltage))*(1/Maximum Frequency)

Maximum Ripple Current Resistive Load

Go Ripple Current = Source Voltage/(4*Inductance*Chopping Frequency)

AC Ripple Voltage

Go Ripple Voltage = sqrt(RMS Voltage^2-Load Voltage^2)

Ripple Factor of DC Chopper

Go Ripple Factor = sqrt((1/Duty Cycle)-Duty Cycle)

Chopping Period

Go Chopping Period = Chopper On Time+Circuit Turn Off Time

Chopping Frequency

Go Chopping Frequency = Duty Cycle/Chopper On Time

Duty Cycle

Go Duty Cycle = Chopper On Time/Chopping Period

Effective Input Resistance

Go Input Resistance = Resistance/Duty Cycle

AC Ripple Voltage Formula

Ripple Voltage = sqrt(RMS Voltage^2-Load Voltage^2)
V_r = sqrt(V_rms^2-V_L^2)

What is the difference between harmonics and ripple?

Ripple (as it usually applies to the DC output from a power supply) are usually artifacts from the rectification process.
Harmonics don't just apply to ripple: anytime you're drawing large amounts of power or have large non-linear loads attached to your mains power, you're deforming the sinusoidal waveform that's coming in. If you've studied Fourier series, you know that anything that isn't a perfect sinusoid will have higher frequency components. Since the ripple isn't perfectly sinusoidal, it'll have higher frequency components, often at a significant amplitude.

How to Calculate AC Ripple Voltage?

AC Ripple Voltage calculator uses Ripple Voltage = sqrt(RMS Voltage^2-Load Voltage^2) to calculate the Ripple Voltage, The AC Ripple Voltage formula depends on the Average and Rms values of ac voltage. This formula is designed without calculating the harmonic components. Ripple Voltage is denoted by V_r symbol.

How to calculate AC Ripple Voltage using this online calculator? To use this online calculator for AC Ripple Voltage, enter RMS Voltage (V_rms) & Load Voltage (V_L) and hit the calculate button. Here is how the AC Ripple Voltage calculation can be explained with given input values -> 39.97612 = sqrt(44.7^2-20^2).

FAQ

What is AC Ripple Voltage?

The AC Ripple Voltage formula depends on the Average and Rms values of ac voltage. This formula is designed without calculating the harmonic components and is represented as V_r = sqrt(V_rms^2-V_L^2) or Ripple Voltage = sqrt(RMS Voltage^2-Load Voltage^2). RMS Voltage is dc voltage which develops across the circuit. The RMS value of AC is greater than the average value & Load Voltage is defined as the magnitude of voltage over a complete cycle in load connected to the chopper.

How to calculate AC Ripple Voltage?

The AC Ripple Voltage formula depends on the Average and Rms values of ac voltage. This formula is designed without calculating the harmonic components is calculated using Ripple Voltage = sqrt(RMS Voltage^2-Load Voltage^2). To calculate AC Ripple Voltage, you need RMS Voltage (V_rms) & Load Voltage (V_L). With our tool, you need to enter the respective value for RMS Voltage & Load Voltage 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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