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Basic Total Harmonic Distortion (THD) Measurement

This document covers the basic harmonic test measurement setup for an amplifier and the calculation of the total harmonic distortion. Introduction. One method 



Total Harmonic Distortion and Effects in Electrical Power Systems

The formula above shows the calculation for THD on a voltage signal. The end result is a percentage comparing the harmonic components to the fundamental 



Eaton

limited to 5.0% total harmonic distortion (THD) standard gave a voltage THD of 8.0% as a ... necessary to measure and/or calculate harmonics at.



Technical Note #2

3 nov. 1997 Subject: Calculation and graphing of harmonics for waveform capture. ... At the bottom of the spreadsheet observe the calculated RMS-H THD





Powersim

Calculate the THD (total harmonic distortion) of the waveform for the For example to load a simulate result file “chop-1q.txt” in Microsoft Excel



Measuring of dynamic figures: SNR THD

https://www.cse.psu.edu/~chip/course/analog/lecture/SFDR1.pdf



US Army Research Laboratory (ARL) Standard for Characterization

For this report we truncate the THD calculation Measurements” front panel waveform when plotted in Excel or MATLAB. (C) THD Test?



Induced EMF THD Reduction Design of Permanent Magnet

3 juin 2021 The PMSG is required to reduce the total harmonic distortion (THD) ... For region II the ? is governed by Poisson's equation and the ...



ADCPro(TM) Analog-to-Digital Converter Evaluation Software Users

Microsoft Excel are registered trademarks of Microsoft Corporation. frequency bins that are not used in the THD calculation above; therefore

ADCPro™User'sGuide

Contents

ADCProScreenCaptureofADCProScreenExitAlt+QEVMTestToolsSettingsConfigurationSettingsFigure10.ADCProConfigurationSettingsMenuHelpAboutADCPro...ContactUsAboutADCPro...ContactUs3.4EVMPlug-Ins - GettingDataIntoADCPro

ADCPro3.4.3OtherEVMPlug-Ins3.5TestPlug-Ins - AnalyzingandSavingDataAcquireContinuousTestFigure14.SelectingaTestPlug-InAcquireF5ContinuousF6ContinuousThemaximumblocksizeforanytestis1,048,576samplesperchannel.ADCPro™UserGuideSubmitDocumentationFeedback

ADCProFigure19.EquationEditorScreen - ExampleEquation+-*/^2+3*6=20(2+3)*6=30MUSTCustomUnitsCloseUnitsFigure20.MultiscopeDisplayScreenwithCustomEquationADCPro™UserGuideSubmitDocumentationFeedback

ADCPro3.5.4MultiFFT

ADCPro

THD SINAD

Tone,HzSFDR

ADCProPlotAllDisplayOnlyPlotAllHarmonics

ADCProTable1.SampleTab-DelimitedTextFile

000

Analog Input Voltage001

010011100101110111

Digital

Output

CodeFS1/2 FS 3/4 FS1/4 FS0

Transition point= where

output code changes from one code to an adjacent code

Ideal transfer function

for a 3-bit A/D

Transition

Points

code width

Ideal code width=

1LSB

Ideal Straight Line

Center

Digital Output

Code

0...101

0...100

0...011

0...010

0...001

0...000

0 15432

+1/2 LSB ?1/2 LSB0 15432Step Width (1LSB)

Analog Input

Value

Midstep Value

of 0...011

Quantization

Error

Analog Input

Value

Inherent Quantization Error ( 1/2 LSB)±

Actual

Transfer

FunctionIdeal

Transfer

Function

Offset Error

Offset errors can be

corrected in software or hardware. 000

Analog Input Voltage001

010011100101110111

Digital

Output

CodeFS1/2 FS 3/4 FS1/4 FS0

Offset Error= Difference

between the actual ( line) first transition point and the ideal ( line) first transition point.dashed solid

First (Ideal)

Code

Transition

Offset Error = (V[0:1] 0.5V )?1LSBV =1LSB= Ideal LSB Voltage SizeVREF 2n

000001010011100101110111

Digital

Output

Code

Actual full-scale rangeIdeal full-scale range

Actual

Transfer

Function

Ideal

Transfer

Function

Full?scale range=

Difference between the First

and Last Code Transition Points

Gain Error=

Full-scale Error Offset Error-

Gain errors can be corrected

in firmware.

1LSB =VFS

2n 000

Analog Input Voltage001

010011100101110111

Digital

Output

Code

Narrow code (<1 LSB)Wide code (>1 LSB)

Actual

Transfer

Function

Ideal

Transfer

Function

000

Analog Input Voltage001

010011100101110111

Digital

Output

Code

INL < 0

Actual

Transfer

Function

Ideal

Transfer

FunctionINL < 0

INL= maximum deviation

between an ( line) code transition point and its corresponding ( line) transition point, after gain and offset error have been removed.actual dashed ideal solid

PositiveINL means

transition(s) later than ideal

NegativeINL means

transition(s) earlier than ideal

A: Fundamental Signal Magnitude

B: Headroom = 0.5dB

C. Signal-to-Noise Ratio = 85dB

D: Spurious Free Dynamic Range = 96dB

E: Average Noise Floor = 125dB

F: First Harmonic Magnitude = 105dB

G: Second Harmonic Magnitude = 96dB?

AB C D E F G 0 ?20 ?40 ?60 ?80 ?100 ?120 ?140 ?160

Amplitude (dB)

0 10 20 30 40 50

Frequency (kHz)FREQUENCY SPECTRUM

(8192 point FFT, F = 10.0022kHz, 0.2dB) IN? 1.0 0.5 0 ?0.5 ?1.0

Magnitude (dB)

TYPICAL SINE WAVE

(10kHz) ?20 0 20 40 60

Frequency (kHz)80 1000 0.05 0.10 0.15 0.20

Time (ms)0.25 0.30 0.35 0.40

40
20 0 ?20 ?40 ?60 ?80 ?100

Magnitude (dB)

SFDR

2F0 3F0 4F0 5F0 6F0 7F0 8F0 9F0

Harmonic BinsFundamental (F0)

ENOB =(SINAD 1.76dB)?

6.022 =ENOBFull-scale

Noise2

M s(ADC Codes)=1LSB =VFS

2nENOB = M log ( )? s2SNR = 20 log = 6.02 N1

NoiseENOB = N = 20 log6.02

1 ppm

ENOB = 20 log = 21.3 Bits6.02

1

0.4e-6

THD =?100%ErmsN

i = 1 å1

N[E (i)]L2

THD+N =?100%ErmsN

i = 1 å1

N[E (i) + E (i) + E (i)]L Q N2

INL vs CODE

INL (LSB)

Code4 3 2 1 0 ?1 ?2 ?3 ?4 ?131072?31072 18928 68928?81072118928 ADC Under Test

DACSUB N

1

ADDERADD N

1

A < BWord Comparator

N1N1 k N DAC

A BReference

Code k IN

Trig 1Clock

Voltmeter

Spectrum

Analyzer

Optional

Required

N = NCYC Sf

IN f S

Input Data

x(n)

Window Function

w(n)

Windowed Input Data

w(n) x(n)?t t t n = 0n = N 1?

Data Window

RFIDwww.ti-rfid.com

OMAPMobileProcessorswww.ti.com/omap

TIE2ECommunityHomePagee2e.ti.com

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