A Space-Vector Discrete Fourier Transform for Unbalanced and Distorted Three-Phase Signals

In this paper, a space-vector discrete-time Fourier transform is proposed for fast and precise detection of the fundamental-frequency and harmonic positive- and negative-sequence vector components of three-phase input signals. The discrete Fourier transform is applied to the three-phase signals repr...

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Bibliographic Details
Published in:IEEE transactions on industrial electronics (1982) 2010-08, Vol.57 (8), p.2858-2867
Main Authors: Neves, F A S, de Souza, H E P, Bradaschia, F, Cavalcanti, M C, Rizo, M, Rodriguez, F J
Format: Article
Language:English
Subjects:
Active filters
amplitude and phase estimation
Converters
Discrete Fourier transforms
discrete Fourier transforms (DFTs)
Distortion
Fourier transforms
Harmonics
industrial power system harmonics
Interharmonics
Mathematical analysis
On-line systems
Power conversion
Power harmonic filters
Power system harmonics
Recursive
Signal detection
Vectors (mathematics)
Voltage
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Summary:In this paper, a space-vector discrete-time Fourier transform is proposed for fast and precise detection of the fundamental-frequency and harmonic positive- and negative-sequence vector components of three-phase input signals. The discrete Fourier transform is applied to the three-phase signals represented by Clarke's αβ vector. It is shown that the complex numbers output from the Fourier transform are the instantaneous values of the positive- and negative-sequence harmonic component vectors of the input three-phase signals. The method allows the computation of any desired positive- or negative-sequence fundamental-frequency or harmonic vector component of the input signal. A recursive algorithm for low-effort online implementation is also presented. The detection performance for variable-frequency and interharmonic input signals is discussed. The proposed and other usual method performances are compared through simulations and experiments.
ISSN:0278-0046
1557-9948
DOI:10.1109/TIE.2009.2036646