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NOMENCLATURE

CORRECTING RMS VALUE OF A SINE WAVEFORM SAMPLED DUE LIMITED NUMBER OF PERIODS AND DETERMINATE APERTURE TIME ON DMM. Keywords : Digital Multimeter (DMM), Root Mean Square (RMS) Error, Sampling, Aperture Time, Number of Samples. NOMENCLATURE. DC = direct current AC = alternating current

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NOMENCLATURE

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  1. CORRECTING RMS VALUE OF A SINE WAVEFORM SAMPLED DUE LIMITED NUMBER OF PERIODS AND DETERMINATE APERTURE TIME ON DMM Keywords: Digital Multimeter (DMM), Root Mean Square (RMS) Error, Sampling, Aperture Time, Number of Samples

  2. NOMENCLATURE • DC = direct current • AC = alternating current • A/D = analog-to-digital • RMS = root-mean-square • ta= aperture time • t0 = initial phase • ta[T] = aperture time in percentage of a period • F = frequency • Fs= sampling frequency • n= number of samples • ppm= part per million

  3. ROOT MEAN SQUARE • Sine waveform segments can be generated according to the following equation: y[i] = A· sin(t0[T] + F·360.0· i/Fs), for i = 0, 1, 2, …, n – 1. • Sampling info: #s = ta[T]·NRDGS, Fs= F·NRDGS. • Initial phase can vary. • From collected mean values, LabVIEWand Swerlein algorithm (implemented in DMM 3458A instruments) calculates RMS value of a signal waveform. • The standard uncertainty associated with the RMS estimate depends on the waveform stability, harmonic content, and noise variance, was evaluated to be less than 5·10-6in the 1-1000V and 1-100 Hzranges.

  4. ta[T]=0,125 and t0[T]=0,1

  5. CORRECTING RMS – SIMULATION PART RMS’ =RMS + A·(1 – sinc (π·ta [T]))

  6. CORRECTING RMS – REAL DATA

  7. CORRECTING RMS – REAL DATA 7 V range, 50 Hz

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