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The Levenberg–Marquardt Procedure for Modeling Accelerometers Used in the Energy Industry

Author

Listed:
  • Krzysztof Tomczyk

    (Faculty of Electrical and Computer Engineering, Cracow University of Technology, Warszawska 24, 31-155 Krakow, Poland)

  • Ksenia Ostrowska

    (Mechanical Faculty, Cracow University of Technology, Jana Pawła II 37 Avenue, 31-864 Krakow, Poland)

  • Jerzy Sładek

    (Mechanical Faculty, Cracow University of Technology, Jana Pawła II 37 Avenue, 31-864 Krakow, Poland)

  • Jarosław Konieczny

    (Faculty of Mechanical Engineering and Robotics, AGH University of Krakow, al. A. Mickiewicza 30, 30-059 Krakow, Poland)

Abstract

This paper presents an effective Levenberg–Marquardt procedure for modeling accelerometers used in the energy industry. The proposed procedure applies the results of accelerometer calibration methods commonly used in engineering practice using stationary or portable calibrators. These methods are extended here to more advanced solutions, which will constitute the basis for further research (both practical and theoretical) for improving the accuracy of accelerometers, which play an extremely important diagnostic function in the operation of machines, devices, and the wide range of components used in the energy industry. The research results presented in this article were obtained using MathCad 15 and MATLAB R2024a software.

Suggested Citation

  • Krzysztof Tomczyk & Ksenia Ostrowska & Jerzy Sładek & Jarosław Konieczny, 2024. "The Levenberg–Marquardt Procedure for Modeling Accelerometers Used in the Energy Industry," Energies, MDPI, vol. 17(23), pages 1-12, December.
    • Handle: RePEc:gam:jeners:v:17:y:2024:i:23:p:6072-:d:1535236
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    References listed on IDEAS

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    1. Pryor, Sara C. & Barthelmie, Rebecca J., 2024. "Wind shadows impact planning of large offshore wind farms," Applied Energy, Elsevier, vol. 359(C).
    2. Masahiko Nakai & Taku Masumoto & Takashi Asaeda, 2024. "Strategic Siting of Hydroelectric Power Plants to Power Railway Operations with Renewable Energy," Sustainability, MDPI, vol. 16(16), pages 1-16, August.
    3. Boos, Everton & Gonçalves, Douglas S. & Bazán, Fermín S.V., 2024. "Levenberg-Marquardt method with singular scaling and applications," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    4. Nielsen, Steffen & Østergaard, Poul Alberg & Sperling, Karl, 2023. "Renewable energy transition, transmission system impacts and regional development – a mismatch between national planning and local development," Energy, Elsevier, vol. 278(PA).
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