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Recursive algebraic method of computing power system harmonics
Author(s) -
Peiravi Ali,
Ildarabadi Rahim
Publication year - 2011
Publication title -
ieej transactions on electrical and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 30
eISSN - 1931-4981
pISSN - 1931-4973
DOI - 10.1002/tee.20666
Subject(s) - harmonics , algebraic number , electric power system , fourier transform , transformer , computer science , fourier series , algorithm , sampling (signal processing) , discrete fourier transform (general) , power (physics) , mathematics , fourier analysis , short time fourier transform , voltage , engineering , mathematical analysis , electrical engineering , physics , filter (signal processing) , quantum mechanics , computer vision
Ensuring power quality in power systems demands fast calculation of harmonics. In this paper, a recursive algebraic approach to the calculation of current transformer (CT)‐derived current signal frequency and harmonics is proposed that is based on a fast but accurate recursive algorithm whereby in any stage of sampling in a given cycle the variables are calculated on the basis of their values in the previous stage. Comparison with the discrete Fourier transform (DFT) approach shows the superiority of the proposed approach. It is shown that when the number of samples used in the DFT approach is increased, the results obtained approach those of the proposed recursive algebraic method. © 2011 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.