Gain of Active Power Filter Calculator

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Power Filters

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✖Voltage Harmonic Waveform is a sinusoidal wave whose frequency is an integer multiple of the fundamental power frequency.ⓘ Voltage Harmonic Waveform [V_ch]			+10% -10%
✖Harmonic Current Component is a sinusoidal wave whose frequency is an integer multiple of the fundamental power frequency.ⓘ Harmonic Current Component [i_sh]			+10% -10%

✖Active Power Filter Gain ratio between the output compensating current and the input harmonic current.ⓘ Gain of Active Power Filter [K]

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Formula

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Gain of Active Power Filter

Formula

`"K" = "V"_{"ch"}/"i"_{"sh"}`

Example

`"0.461538"="30"/"65"`

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Gain of Active Power Filter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Active Power Filter Gain = Voltage Harmonic Waveform/Harmonic Current Component
K = V_ch/i_sh
This formula uses 3 Variables

Variables Used

Active Power Filter Gain - Active Power Filter Gain ratio between the output compensating current and the input harmonic current.
Voltage Harmonic Waveform - Voltage Harmonic Waveform is a sinusoidal wave whose frequency is an integer multiple of the fundamental power frequency.
Harmonic Current Component - Harmonic Current Component is a sinusoidal wave whose frequency is an integer multiple of the fundamental power frequency.

STEP 1: Convert Input(s) to Base Unit

Voltage Harmonic Waveform: 30 --> No Conversion Required
Harmonic Current Component: 65 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = V_ch/i_sh --> 30/65

Evaluating ... ...

K = 0.461538461538462

STEP 3: Convert Result to Output's Unit

0.461538461538462 --> No Conversion Required

FINAL ANSWER

0.461538461538462 ≈ 0.461538 <-- Active Power Filter Gain

(Calculation completed in 00.004 seconds)

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Credits

Created by Suma Madhuri

VIT University (VIT), Chennai

Suma Madhuri has created this Calculator and 50+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 600+ more calculators!

< 15 Power Filters Calculators

Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit

Go Cutoff Frequency = (1/(2*Resistance*Capacitance))+(sqrt((1/(2*Resistance*Capacitance))^2+1/(Inductance*Capacitance)))

Corner Frequency in Bandpass Filter for Series RLC Circuit

Go Corner Frequency = (Resistance/(2*Inductance))+(sqrt((Resistance/(2*Inductance))^2+1/(Inductance*Capacitance)))

Phase Angle of Low Pass RC Filter

Go Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance)

Keying Parameter of Parallel RLC Bandpass Filter

Go Keying Parameter = ((Inductance+Leakage Inductance)*Cutoff Frequency)/(2*DC Voltage)

Resonant Frequency of Passive Filter

Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))

Tuned Factor of Hybrid Filter

Go Tuned Factor = (Angular Frequency-Angular Resonant Frequency)/Angular Resonant Frequency

Voltage across Passive Filter Capacitor

Go Voltage across Passive Filter Capacitor = Filter Transfer Function*Fundamental Frequency Component

Angular Resonant Frequency of Passive Filter

Go Angular Resonant Frequency = (Resistance*Quality Factor)/Inductance

Quality Factor of Passive Filter

Go Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance

Resistance of Passive Filter

Go Resistance = (Angular Resonant Frequency*Inductance)/Quality Factor

Slope of Triangular Waveform of Active Power Filter

Go Triangular Waveform Slope = 4*Triangular Waveform Amplitude*Triangular Waveform Frequency

Gain of Active Power Filter

Go Active Power Filter Gain = Voltage Harmonic Waveform/Harmonic Current Component

Gain of Converter of Active Power Filter

Go Gain of Converter = DC Voltage/(2*Triangular Waveform Amplitude)

Amplitude of Active Power Filter

Go Triangular Waveform Amplitude = DC Voltage/(2*Gain of Converter)

Keying Index of Parallel RLC Bandpass Filter

Go Keying Index = Cutoff Frequency*Keying Parameter

Gain of Active Power Filter Formula

Active Power Filter Gain = Voltage Harmonic Waveform/Harmonic Current Component
K = V_ch/i_sh

Why is the gain of an active power filter important?

The gain of an active power filter is a critical parameter that determines its ability to effectively mitigate harmonic distortion in the power system. A higher gain enables the APF to cancel out a wider range of harmonic currents,

How to Calculate Gain of Active Power Filter?

Gain of Active Power Filter calculator uses Active Power Filter Gain = Voltage Harmonic Waveform/Harmonic Current Component to calculate the Active Power Filter Gain, The Gain of Active Power Filter formula is defined as the ratio between the output compensating current and the input harmonic current. Active Power Filter Gain is denoted by K symbol.

How to calculate Gain of Active Power Filter using this online calculator? To use this online calculator for Gain of Active Power Filter, enter Voltage Harmonic Waveform (V_ch) & Harmonic Current Component (i_sh) and hit the calculate button. Here is how the Gain of Active Power Filter calculation can be explained with given input values -> 0.461538 = 30/65.

FAQ

What is Gain of Active Power Filter?

The Gain of Active Power Filter formula is defined as the ratio between the output compensating current and the input harmonic current and is represented as K = V_ch/i_sh or Active Power Filter Gain = Voltage Harmonic Waveform/Harmonic Current Component. Voltage Harmonic Waveform is a sinusoidal wave whose frequency is an integer multiple of the fundamental power frequency & Harmonic Current Component is a sinusoidal wave whose frequency is an integer multiple of the fundamental power frequency.

How to calculate Gain of Active Power Filter?

The Gain of Active Power Filter formula is defined as the ratio between the output compensating current and the input harmonic current is calculated using Active Power Filter Gain = Voltage Harmonic Waveform/Harmonic Current Component. To calculate Gain of Active Power Filter, you need Voltage Harmonic Waveform (V_ch) & Harmonic Current Component (i_sh). With our tool, you need to enter the respective value for Voltage Harmonic Waveform & Harmonic Current Component 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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