Total Harmonic Distortion Factor Calculator

✖Input Voltage in SVC is defined as the voltage of the bus or location in the power system where the SVC is installed.ⓘ Input Voltage in SVC [V_in]			+10% -10%
✖Highest Order Harmonic is defined as the harmonic component with the highest frequency in a signal or waveform.ⓘ Highest Order Harmonic [N_h]			+10% -10%
✖RMS Voltage in SVC is the voltage at a certain amount of frequency counted at nth harmonic.ⓘ RMS Voltage in SVC [V_n]			+10% -10%

✖Total Harmonic Distortion Factor is defined as the measure used to quantify the extent of harmonic distortion present in a signal.ⓘ Total Harmonic Distortion Factor [THD]

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Formula

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Total Harmonic Distortion Factor

Formula

`"THD" = 1/("V"_{"in"})*sqrt(sum(x,2,"N"_{"h"},"V"_{"n"}^2))`

Example

`"8.533519"=1/("4.1V")*sqrt(sum(x,2,"4",("20.2V")^2))`

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Total Harmonic Distortion Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Harmonic Distortion Factor = 1/(Input Voltage in SVC)*sqrt(sum(x,2,Highest Order Harmonic,RMS Voltage in SVC^2))
THD = 1/(V_in)*sqrt(sum(x,2,N_h,V_n^2))
This formula uses 2 Functions, 4 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)
sum - Summation or sigma (∑) notation is a method used to write out a long sum in a concise way., sum(i, from, to, expr)

Variables Used

Total Harmonic Distortion Factor - Total Harmonic Distortion Factor is defined as the measure used to quantify the extent of harmonic distortion present in a signal.
Input Voltage in SVC - (Measured in Volt) - Input Voltage in SVC is defined as the voltage of the bus or location in the power system where the SVC is installed.
Highest Order Harmonic - Highest Order Harmonic is defined as the harmonic component with the highest frequency in a signal or waveform.
RMS Voltage in SVC - (Measured in Volt) - RMS Voltage in SVC is the voltage at a certain amount of frequency counted at nth harmonic.

STEP 1: Convert Input(s) to Base Unit

Input Voltage in SVC: 4.1 Volt --> 4.1 Volt No Conversion Required
Highest Order Harmonic: 4 --> No Conversion Required
RMS Voltage in SVC: 20.2 Volt --> 20.2 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

THD = 1/(V_in)*sqrt(sum(x,2,N_h,V_n^2)) --> 1/(4.1)*sqrt(sum(x,2,4,20.2^2))

Evaluating ... ...

THD = 8.53351861290032

STEP 3: Convert Result to Output's Unit

8.53351861290032 --> No Conversion Required

FINAL ANSWER

8.53351861290032 ≈ 8.533519 <-- Total Harmonic Distortion Factor

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » FACTS Devices » Static Var Compensator(SVC) » Total Harmonic Distortion Factor

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Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

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GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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< 4 Static Var Compensator(SVC) Calculators

Total Harmonic Distortion Factor

Go Total Harmonic Distortion Factor = 1/(Input Voltage in SVC)*sqrt(sum(x,2,Highest Order Harmonic,RMS Voltage in SVC^2))

Phase Constant of Line in SVC

Go Phase Constant of SVC = 2*pi*Lossless Line Frequency*sqrt(Line Length*Series Capacitance in the Line)

Steady State Change of SVC Voltage

Go Steady State Change in SVC Voltage = SVC Static Gain/(SVC Static Gain+SVC Gain)*SVC Reference Voltage

Voltage Distortion Factor in Single Tuned Filter

Go Voltage Distortion Factor in Single Tuned Filter = RMS Voltage in SVC/Input Voltage in SVC

Total Harmonic Distortion Factor Formula

Total Harmonic Distortion Factor = 1/(Input Voltage in SVC)*sqrt(sum(x,2,Highest Order Harmonic,RMS Voltage in SVC^2))
THD = 1/(V_in)*sqrt(sum(x,2,N_h,V_n^2))

What is Total Harmonic Distortion Factor?

The Total Harmonic Distortion (THD) factor is a measure used to quantify the extent of harmonic distortion present in a signal. It is commonly expressed as a percentage and provides an indication of how much the signal deviates from a pure sinusoidal waveform. THD factor is calculated as the square root of the sum of the squares of the individual harmonic components, divided by the amplitude of the fundamental frequency.

How to Calculate Total Harmonic Distortion Factor?

Total Harmonic Distortion Factor calculator uses Total Harmonic Distortion Factor = 1/(Input Voltage in SVC)*sqrt(sum(x,2,Highest Order Harmonic,RMS Voltage in SVC^2)) to calculate the Total Harmonic Distortion Factor, The Total Harmonic Distortion Factor formula is defined as the extent of harmonic distortion present in a signal. It is commonly expressed as a percentage and provides an indication of how much the signal deviates from a pure sinusoidal waveform. Total Harmonic Distortion Factor is denoted by THD symbol.

How to calculate Total Harmonic Distortion Factor using this online calculator? To use this online calculator for Total Harmonic Distortion Factor, enter Input Voltage in SVC (V_in), Highest Order Harmonic (N_h) & RMS Voltage in SVC (V_n) and hit the calculate button. Here is how the Total Harmonic Distortion Factor calculation can be explained with given input values -> 8.533519 = 1/(4.1)*sqrt(sum(x,2,4,20.2^2)).

FAQ

What is Total Harmonic Distortion Factor?

The Total Harmonic Distortion Factor formula is defined as the extent of harmonic distortion present in a signal. It is commonly expressed as a percentage and provides an indication of how much the signal deviates from a pure sinusoidal waveform and is represented as THD = 1/(V_in)*sqrt(sum(x,2,N_h,V_n^2)) or Total Harmonic Distortion Factor = 1/(Input Voltage in SVC)*sqrt(sum(x,2,Highest Order Harmonic,RMS Voltage in SVC^2)). Input Voltage in SVC is defined as the voltage of the bus or location in the power system where the SVC is installed, Highest Order Harmonic is defined as the harmonic component with the highest frequency in a signal or waveform & RMS Voltage in SVC is the voltage at a certain amount of frequency counted at nth harmonic.

How to calculate Total Harmonic Distortion Factor?

The Total Harmonic Distortion Factor formula is defined as the extent of harmonic distortion present in a signal. It is commonly expressed as a percentage and provides an indication of how much the signal deviates from a pure sinusoidal waveform is calculated using Total Harmonic Distortion Factor = 1/(Input Voltage in SVC)*sqrt(sum(x,2,Highest Order Harmonic,RMS Voltage in SVC^2)). To calculate Total Harmonic Distortion Factor, you need Input Voltage in SVC (V_in), Highest Order Harmonic (N_h) & RMS Voltage in SVC (V_n). With our tool, you need to enter the respective value for Input Voltage in SVC, Highest Order Harmonic & RMS Voltage in SVC 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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