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=30
ADCPro3.5.4MultiFFT
ADCPro
THD SINADTone,HzSFDR
ADCProPlotAllDisplayOnlyPlotAllHarmonics
ADCProTable1.SampleTab-DelimitedTextFile
000Analog 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 codeIdeal transfer function
for a 3-bit A/DTransition
Points
code widthIdeal code width=
1LSBIdeal Straight Line
Center
Digital Output
Code0...101
0...100
0...011
0...010
0...001
0...000
0 15432
+1/2 LSB ?1/2 LSB0 15432Step Width (1LSB)Analog Input
ValueMidstep Value
of 0...011Quantization
ErrorAnalog Input
ValueInherent Quantization Error ( 1/2 LSB)±
Actual
Transfer
FunctionIdeal
Transfer
Function
Offset Error
Offset errors can be
corrected in software or hardware. 000Analog 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 solidFirst (Ideal)
CodeTransition
Offset Error = (V[0:1] 0.5V )?1LSBV =1LSB= Ideal LSB Voltage SizeVREF 2n000001010011100101110111
Digital
Output
CodeActual full-scale rangeIdeal full-scale range
Actual
Transfer
Function
IdealTransfer
Function
Full?scale range=
Difference between the First
and Last Code Transition PointsGain Error=
Full-scale Error Offset Error-
Gain errors can be corrected
in firmware.1LSB =VFS
2n 000Analog Input Voltage001
010011100101110111
Digital
Output
CodeNarrow code (<1 LSB)Wide code (>1 LSB)
Actual
Transfer
Function
IdealTransfer
Function
000Analog Input Voltage001
010011100101110111
Digital
Output
CodeINL < 0
Actual
Transfer
Function
IdealTransfer
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 solidPositiveINL means
transition(s) later than idealNegativeINL means
transition(s) earlier than idealA: 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 ?160Amplitude (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 ?1.0Magnitude (dB)
TYPICAL SINE WAVE
(10kHz) ?20 0 20 40 60Frequency (kHz)80 1000 0.05 0.10 0.15 0.20
Time (ms)0.25 0.30 0.35 0.40
4020 0 ?20 ?40 ?60 ?80 ?100
Magnitude (dB)
SFDR2F0 3F0 4F0 5F0 6F0 7F0 8F0 9F0
Harmonic BinsFundamental (F0)
ENOB =(SINAD 1.76dB)?
6.022 =ENOBFull-scale
Noise2
M s(ADC Codes)=1LSB =VFS2nENOB = M log ( )? s2SNR = 20 log = 6.02 N1
NoiseENOB = N = 20 log6.02
1 ppmENOB = 20 log = 21.3 Bits6.02
10.4e-6
THD =?100%ErmsN
i = 1 å1N[E (i)]L2
THD+N =?100%ErmsN
i = 1 å1N[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 TestDACSUB N
1ADDERADD N
1A < BWord Comparator
N1N1 k N DACA BReference
Code k INTrig 1Clock
Voltmeter
Spectrum
Analyzer
Optional
Required
N = NCYC Sf
IN f SInput 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
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