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Using Frequency B-Splines for an accurate and faster calculation of adaptive transforms for electric machines diagnosis

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  • Pons-Llinares, Joan
  • Quijano-López, Alfredo
  • Bonet-Jara, Jorge
  • Vedreño-Santos, Francisco

Abstract

Early detection of faults in electric motors is crucial to prevent unplanned downtime and expensive repairs. Transient analysis through time-frequency transforms reveals important information on the motor condition. Computational time of these transforms becomes a problem when dealing with thousands of motors in just one industry. Researchers focus on obtaining the best quality results, usually using Gabor functions as t-f atoms. This paper shows how Frequency B-Splines can reach the same quality with nearly 40% less computational time. To achieve this goal, the slope criterion is applied to select the optimal atoms parameters. A formula that relates the slope of the Heisenberg Box of a FBS with its parameters is deduced. The proper time interval where the FBS must be defined is also determined. Results are shown not only with lab tests, but also through a field case.

Suggested Citation

  • Pons-Llinares, Joan & Quijano-López, Alfredo & Bonet-Jara, Jorge & Vedreño-Santos, Francisco, 2026. "Using Frequency B-Splines for an accurate and faster calculation of adaptive transforms for electric machines diagnosis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 239(C), pages 1050-1061.
    • Handle: RePEc:eee:matcom:v:239:y:2026:i:c:p:1050-1061
    DOI: 10.1016/j.matcom.2025.07.037
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    References listed on IDEAS

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    1. Lin-Shi, Xuefang & Massioni, Paolo & Gauthier, Jean-Yves, 2021. "Estimation of inverter voltage disturbances for induction machine drive using LPV observer with convex optimization," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 184(C), pages 196-209.
    2. Zorig, Assam & Hedayati Kia, Shahin & Chouder, Aissa & Rabhi, Abdelhamid, 2022. "A comparative study for stator winding inter-turn short-circuit fault detection based on harmonic analysis of induction machine signatures," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 196(C), pages 273-288.
    3. Guellout, O. & Rezig, A. & Touati, S. & Djerdir, A., 2020. "Elimination of broken rotor bars false indications in induction machines," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 167(C), pages 250-266.
    4. Bruni, Vittoria & Tartaglione, Michela & Vitulano, Domenico, 2020. "An iterative approach for spectrogram reassignment of frequency modulated multicomponent signals," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 176(C), pages 96-119.
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