Gain of Converter of Active Power Filter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gain of Converter = DC Voltage/(2*Triangular Waveform Amplitude)
Ks = Vdc/(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
Ks = Vdc/(2*ξ) --> 12/(2*1.109)
Evaluating ... ...
Ks = 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 00.020 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)
Ks = Vdc/(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 Ks 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 (Vdc) & 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 Ks = Vdc/(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 (Vdc) & 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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