Gain of Converter of Active Power Filter Calculator

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✖DC Voltage is a type of electrical voltage that flows in one direction at a constant rate. It is the opposite of alternating current (AC) voltage, which periodically changes direction.ⓘ DC Voltage [V_dc]			+10% -10%
✖Triangular Waveform Amplitude is the maximum absolute value of the waveform.ⓘ Triangular Waveform Amplitude [ξ]			+10% -10%

✖Gain of Converter is an important parameter to consider when designing the Active Power Filter.ⓘ Gain of Converter of Active Power Filter [K_s]

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Formula

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Gain of Converter of Active Power Filter

Formula

`"K"_{"s"} = "V"_{"dc"}/(2*"ξ")`

Example

`"5.41028"="12V"/(2*"1.109V")`

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Gain of Converter of Active Power Filter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gain of Converter = DC Voltage/(2*Triangular Waveform Amplitude)
K_s = V_dc/(2*ξ)
This formula uses 3 Variables

Variables Used

Gain of Converter - Gain of Converter is an important parameter to consider when designing the Active Power Filter.
DC Voltage - (Measured in Volt) - DC Voltage is a type of electrical voltage that flows in one direction at a constant rate. It is the opposite of alternating current (AC) voltage, which periodically changes direction.
Triangular Waveform Amplitude - (Measured in Volt) - Triangular Waveform Amplitude is the maximum absolute value of the waveform.

STEP 1: Convert Input(s) to Base Unit

DC Voltage: 12 Volt --> 12 Volt No Conversion Required
Triangular Waveform Amplitude: 1.109 Volt --> 1.109 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_s = V_dc/(2*ξ) --> 12/(2*1.109)

Evaluating ... ...

K_s = 5.41027953110911

STEP 3: Convert Result to Output's Unit

5.41027953110911 --> No Conversion Required

FINAL ANSWER

5.41027953110911 ≈ 5.41028 <-- Gain of Converter

(Calculation completed in 00.004 seconds)

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< 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 Converter of Active Power Filter Formula

Gain of Converter = DC Voltage/(2*Triangular Waveform Amplitude)
K_s = V_dc/(2*ξ)

How is the gain of the converter of an Active Power Filter typically controlled?

The gain of the converter of an Active Power Filter is typically controlled using a pulse width modulation controller. The PWM controller adjusts the duty cycle of the converter's switching signal to control the average output voltage.

How to Calculate Gain of Converter of Active Power Filter?

Gain of Converter of Active Power Filter calculator uses Gain of Converter = DC Voltage/(2*Triangular Waveform Amplitude) to calculate the Gain of Converter, Gain of Converter of Active Power Filter is the ratio of the direct current voltage to the damping factor at the fundamental frequency. It is a measure of how much the converter amplifies the signal at the fundamental frequency. Gain of Converter is denoted by K_s symbol.

How to calculate Gain of Converter of Active Power Filter using this online calculator? To use this online calculator for Gain of Converter of Active Power Filter, enter DC Voltage (V_dc) & Triangular Waveform Amplitude (ξ) and hit the calculate button. Here is how the Gain of Converter of Active Power Filter calculation can be explained with given input values -> 5.41028 = 12/(2*1.109).

FAQ

What is Gain of Converter of Active Power Filter?

Gain of Converter of Active Power Filter is the ratio of the direct current voltage to the damping factor at the fundamental frequency. It is a measure of how much the converter amplifies the signal at the fundamental frequency and is represented as K_s = V_dc/(2*ξ) or Gain of Converter = DC Voltage/(2*Triangular Waveform Amplitude). DC Voltage is a type of electrical voltage that flows in one direction at a constant rate. It is the opposite of alternating current (AC) voltage, which periodically changes direction & Triangular Waveform Amplitude is the maximum absolute value of the waveform.

How to calculate Gain of Converter of Active Power Filter?

Gain of Converter of Active Power Filter is the ratio of the direct current voltage to the damping factor at the fundamental frequency. It is a measure of how much the converter amplifies the signal at the fundamental frequency is calculated using Gain of Converter = DC Voltage/(2*Triangular Waveform Amplitude). To calculate Gain of Converter of Active Power Filter, you need DC Voltage (V_dc) & Triangular Waveform Amplitude (ξ). With our tool, you need to enter the respective value for DC Voltage & Triangular Waveform Amplitude 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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