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Hilbert versus Concordia transform for three-phase machine stator current time-frequency monitoring

Trajin, Baptiste and Chabert, Marie and Régnier, Jérémi and Faucher, Jean Hilbert versus Concordia transform for three-phase machine stator current time-frequency monitoring. (2009) Mechanical systems and signal processing, 23 (8). 2648-2657. ISSN 0888-3270

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Official URL: https://doi.org/10.1016/j.ymssp.2009.05.015


This paper deals with mechanical fault diagnosis in three-phase induction machines from stator current measurements. According to machine models, mechanical faults lead to amplitude and/or phase modulations of the measured stator current with possibly time varying carrier frequency. The modulation diagnosis requires a univocal de¯nition of the instantaneous phase and amplitude. This is performed by associating a complex signal to the real measured one. For a convenient separate modulation diagnosis, the complex signal instantaneous phase and amplitude are expected to carry respectively information about the phase and amplitude modulations. The complex signal is classically obtained through the Hilbert transform. Under Bedrosian conditions, the so-called analytic signal allows a separate modulation diagnosis. However, mechanical faults may also produce fast modulations violating the Bedrosian conditions. This study proposes an alternative complex signal representation which takes advantage of the three stator current measurements available in a three phase machine. From two stator current measurements, the Concordia transform builds a complex vector, the so-called space vector, which unconditionally allows separate modulation diagnosis. This paper applies and compares the Hilbert and Concordia transforms, theoretically and in case of simulated and experimental signals with various modulation frequency ranges.

Item Type:Article
Additional Information:This is an open access article under the CC-BY-NC-ND licence : https://creativecommons.org/licenses/by-nc-nd/4.0/. Thanks to Elsevier editor. The definitive version of this document is available at: https://www.sciencedirect.com/science/article/pii/S088832700900185X
HAL Id:hal-02001672
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:23 Jan 2019 14:41

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