Calculation of uncertainties in harmonics determination

Marian Jerzy Korczynski

Abstract

The main purpose of the paper is to present a new approach to calculation of uncertainties in harmonic contents, which are induced due to imperfection of acquired values of samples. The acquired samples are representing true values but every sample is bearing errors caused by all front end elements wired to Analogue to Digital Converter, ADC, and errors of ADC converter itself. The method is similar to uncertainty distribution through measurement model, but the difference is in generation of distribution. The distribution is not generated for each sample itself and each all possible variants are calculated, but all variants for 10 millions of points distributed uniformly, normally and combination of normally and uniformly were applied. The results are very promising from the point of view of time consumption for calculations. Something a bit unrespectable at the first glimpse, the result, results seems to be a bit surprises as uniform probability distribution of errors at the input is resulting with similar to normal distribution at the output of Fast Fourier Transform procedure. It was proved applying test data of one single, just only fundamental harmonic. The acquired data of current consumption in a real electrical power net will be presented in a full appear.

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DOI

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IMEKO TC

TC4 - Measurement of Electrical Quantities

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