Statistical properties of DFT-based harmonic-subgroup evaluations in power systems

Author

Bellan, D.

Author_Institution

Politec. di Milano, Milan, Italy

fYear

2009

fDate

26-28 Aug. 2009

Firstpage

109

Lastpage

112

Abstract

This work deals with the analytical derivation of the statistical properties of the so-called R.M.S. value of a harmonic subgroup defined in the Standard IEC 61000-4-7 regarding harmonics and interharmonics measurements and instrumentation for power supply systems and equipment connected thereto. A complete statistical characterization is provided in terms of probability density function, cumulative distribution function, and statistical moments by exploiting the properties of noise propagation through the discrete Fourier transform. A generalization is proposed, concerning the subgroup total harmonic distortion THDS. The analytical results are validated by means of numerical simulations.

Keywords

discrete Fourier transforms; distortion measurement; electric noise measurement; harmonic distortion; power supply quality; power system harmonics; power system measurement; statistical distributions; DFT-based harmonic-subgroup evaluations; RMS value; Standard IEC 61000-4-7; cumulative distribution function; discrete Fourier transform; interharmonics measurements; noise propagation properties; power supply systems; probability density function; statistical moments; subgroup total harmonic distortion; Distortion measurement; Harmonic analysis; IEC standards; Instruments; Measurement standards; Power measurement; Power supplies; Power system analysis computing; Power system harmonics; Power system measurements;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Signal Processing, 2009. WISP 2009. IEEE International Symposium on

Conference_Location

Budapest

Print_ISBN

978-1-4244-5057-2

Electronic_ISBN

978-1-4244-5059-6

Type

conf

DOI

10.1109/WISP.2009.5286534

Filename

5286534