## Gain of Active Power Filter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Active Power Filter Gain = Voltage Harmonic Waveform/Harmonic Current Component
K = Vch/Ish
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 = Vch/Ish --> 30/65
Evaluating ... ...
K = 0.461538461538462
STEP 3: Convert Result to Output's Unit
0.461538461538462 --> No Conversion Required
0.461538461538462 0.461538 <-- Active Power Filter Gain
(Calculation completed in 00.004 seconds)
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## < 15 Power Filters Calculators

Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit
Cutoff Frequency = (1/(2*Resistance*Capacitance))+(sqrt((1/(2*Resistance*Capacitance))^2+1/(Inductance*Capacitance)))
Corner Frequency in Bandpass Filter for Series RLC Circuit
Corner Frequency = (Resistance/(2*Inductance))+(sqrt((Resistance/(2*Inductance))^2+1/(Inductance*Capacitance)))
Phase Angle of Low Pass RC Filter
Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance)
Keying Parameter of Parallel RLC Bandpass Filter
Keying Parameter = ((Inductance+Leakage Inductance)*Cutoff Frequency)/(2*DC Voltage)
Resonant Frequency of Passive Filter
Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
Tuned Factor of Hybrid Filter
Tuned Factor = (Angular Frequency-Angular Resonant Frequency)/Angular Resonant Frequency
Voltage across Passive Filter Capacitor
Voltage across the Passive Filter Capacitor = Filter Transfer Function*Fundamental Frequency Component
Angular Resonant Frequency of Passive Filter
Angular Resonant Frequency = (Resistance*Quality Factor)/Inductance
Quality Factor of Passive Filter
Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance
Resistance of Passive Filter
Resistance = (Angular Resonant Frequency*Inductance)/Quality Factor
Slope of Triangular Waveform of Active Power Filter
Triangular Waveform Slope = 4*Triangular Waveform Amplitude*Triangular Waveform Frequency
Gain of Active Power Filter
Active Power Filter Gain = Voltage Harmonic Waveform/Harmonic Current Component
Gain of Converter of Active Power Filter
Gain of Converter = DC Voltage/(2*Triangular Waveform Amplitude)
Amplitude of Active Power Filter
Triangular Waveform Amplitude = DC Voltage/(2*Gain of Converter)
Keying Index of Parallel RLC Bandpass Filter
Keying Index = Cutoff Frequency*Keying Parameter

## Gain of Active Power Filter Formula

Active Power Filter Gain = Voltage Harmonic Waveform/Harmonic Current Component
K = Vch/Ish

## 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 (Vch) & Harmonic Current Component (Ish) 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 = Vch/Ish 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 (Vch) & Harmonic Current Component (Ish). 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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