AC Ripple Voltage Solution

STEP 0: Pre-Calculation Summary
Formula Used
Ripple Voltage = sqrt(RMS Voltage^2-Load Voltage^2)
Vr = sqrt(Vrms^2-VL^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
Vr = sqrt(Vrms^2-VL^2) --> sqrt(44.7^2-20^2)
Evaluating ... ...
Vr = 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 00.020 seconds)

Credits

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Created by Gokulraj
Anna university (Au), Tamilnadu
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Chopper Core Factors Calculators

Excess Work Due to Thyristor 1 in Chopper Circuit
​ LaTeX ​ Go Excess Work = 0.5*Limiting Inductance*((Output Current+(Reverse Recovery Time*Capacitor Commutation Voltage)/Limiting Inductance)-Output Current^2)
Ripple Factor of DC Chopper
​ LaTeX ​ Go Ripple Factor = sqrt((1/Duty Cycle)-Duty Cycle)
Duty Cycle
​ LaTeX ​ Go Duty Cycle = Chopper On Time/Chopping Period
Effective Input Resistance
​ LaTeX ​ Go Input Resistance = Resistance/Duty Cycle

AC Ripple Voltage Formula

​LaTeX ​Go
Ripple Voltage = sqrt(RMS Voltage^2-Load Voltage^2)
Vr = sqrt(Vrms^2-VL^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 Vr symbol.

How to calculate AC Ripple Voltage using this online calculator? To use this online calculator for AC Ripple Voltage, enter RMS Voltage (Vrms) & Load Voltage (VL) 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 Vr = sqrt(Vrms^2-VL^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 (Vrms) & Load Voltage (VL). 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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