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Total Harmonic Distortion Factor Formula

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Total Harmonic Distortion Factor is defined as the measure used to quantify the extent of harmonic distortion present in a signal. Check FAQs

THD = \frac{1}{V in} \cdot \sqrt{\sum (x, 2, N h, {V n}^{2})}

THD - Total Harmonic Distortion Factor?V_in - Input Voltage in SVC?N_h - Highest Order Harmonic?V_n - RMS Voltage in SVC?

Total Harmonic Distortion Factor Example

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Here is how the Total Harmonic Distortion Factor equation looks like with Values.

Here is how the Total Harmonic Distortion Factor equation looks like with Units.

Here is how the Total Harmonic Distortion Factor equation looks like.

8.5335 = \frac{1}{4.1} \cdot \sqrt{\sum (x, 2, 4, {20.2}^{2})}

8.5335 = \frac{1}{4.1V} \cdot \sqrt{\sum (x, 2, 4, {20.2V}^{2})}

8.5335 = \frac{1}{4.1} \cdot \sqrt{\sum (x, 2, 4, {20.2}^{2})}

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Total Harmonic Distortion Factor Solution

Follow our step by step solution on how to calculate Total Harmonic Distortion Factor?

FIRST Step Consider the formula

THD = \frac{1}{V in} \cdot \sqrt{\sum (x, 2, N h, {V n}^{2})}

Next Step Substitute values of Variables

∴

THD = \frac{1}{4.1V} \cdot \sqrt{\sum (x, 2, 4, {20.2V}^{2})}

Next Step Prepare to Evaluate

∴

THD = \frac{1}{4.1} \cdot \sqrt{\sum (x, 2, 4, {20.2}^{2})}

Next Step Evaluate

∴

THD = 8.53351861290032

LAST Step Rounding Answer

∴

THD = 8.5335

Total Harmonic Distortion Factor Formula Elements

Variables

Functions

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.

Symbol: THD

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Total Harmonic Distortion Factor

Input Voltage in SVC

Input Voltage in SVC is defined as the voltage of the bus or location in the power system where the SVC is installed.

Symbol: V_in

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Input Voltage in SVC

Highest Order Harmonic

Highest Order Harmonic is defined as the harmonic component with the highest frequency in a signal or waveform.

Symbol: N_h

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Highest Order Harmonic

RMS Voltage in SVC

RMS Voltage in SVC is the voltage at a certain amount of frequency counted at nth harmonic.

Symbol: V_n

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find RMS Voltage in SVC

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.

Syntax: sqrt(Number)

sum

Summation or sigma (∑) notation is a method used to write out a long sum in a concise way.

Syntax: sum(i, from, to, expr)

Other formulas in Static Var Compensator(SVC) category

Go Steady State Change of SVC Voltage

ΔV svc = \frac{K N}{K N + K g} \cdot ΔV ref

Go Voltage Distortion Factor in Single Tuned Filter

D n = \frac{V n}{V in}

How to Evaluate Total Harmonic Distortion Factor?

Total Harmonic Distortion Factor evaluator uses Total Harmonic Distortion Factor = 1/(Input Voltage in SVC)*sqrt(sum(x,2,Highest Order Harmonic,RMS Voltage in SVC^2)) to evaluate 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 evaluate Total Harmonic Distortion Factor using this online evaluator? To use this online evaluator 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.

FAQs on Total Harmonic Distortion Factor

What is the formula to find Total Harmonic Distortion Factor?

The formula of Total Harmonic Distortion Factor is expressed as Total Harmonic Distortion Factor = 1/(Input Voltage in SVC)*sqrt(sum(x,2,Highest Order Harmonic,RMS Voltage in SVC^2)). Here is an example- 8.533519 = 1/(4.1)*sqrt(sum(x,2,4,20.2^2)).

How to calculate Total Harmonic Distortion Factor?

With Input Voltage in SVC (V_in), Highest Order Harmonic (N_h) & RMS Voltage in SVC (V_n) we can find Total Harmonic Distortion Factor using the formula - Total Harmonic Distortion Factor = 1/(Input Voltage in SVC)*sqrt(sum(x,2,Highest Order Harmonic,RMS Voltage in SVC^2)). This formula also uses Square Root (sqrt), Summation Notation (sum) function(s).

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Total Harmonic Distortion Factor Formula

Total Harmonic Distortion Factor Example

Total Harmonic Distortion Factor Solution

Total Harmonic Distortion Factor Formula Elements

Other formulas in Static Var Compensator(SVC) category

How to Evaluate Total Harmonic Distortion Factor?

FAQs on Total Harmonic Distortion Factor

Variable Name