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Energies 2017, 10(2), 188; doi:10.3390/en10020188

Fourier, Wavelet, and Hilbert-Huang Transforms for Studying Electrical Users in the Time and Frequency Domain

1
Department of Engineering, University of Messina, I-98166 Messina, Italy
2
Department of Electrical and Information Engineering, Polytechnic University of Bari, via E. Orabona 4, I-70125 Bari, Italy
This paper is an extended version of paper published in the International Conference: EEEIC 2016, Florence, Italy, 7–10 June 2016.
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 15 November 2016 / Revised: 30 January 2017 / Accepted: 3 February 2017 / Published: 8 February 2017
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Abstract

The analysis of electrical signals is a pressing requirement for the optimal design of power distribution. In this context, this paper illustrates how to use a variety of numerical tools, such as the Fourier, wavelet, and Hilbert-Huang transforms, to obtain information relating to the active and reactive power absorbed by different types of users. In particular, the Fourier spectrum gives the most important frequency components of the electrical signals, and the wavelet analysis highlights the non-stationarity of those frequency contributions, whereas the Hilbert-Huang transform, by means of the Empirical Mode Decomposition, provides a more complete spectrum of frequencies. View Full-Text
Keywords: non-stationary signal; time-frequency analysis; power quality; wavelet; Hilbert-Huang transform non-stationary signal; time-frequency analysis; power quality; wavelet; Hilbert-Huang transform
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Puliafito, V.; Vergura, S.; Carpentieri, M. Fourier, Wavelet, and Hilbert-Huang Transforms for Studying Electrical Users in the Time and Frequency Domain. Energies 2017, 10, 188.

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