Technique for Defining the Optimal Parameters of Moving Window at Vibration Accelerometer Signal Processing

2024;
: pp. 142 – 152
https://doi.org/10.23939/jeecs2024.02.142
Received: October 16, 2024
Revised: December 06, 2024
Accepted: December 14, 2024

R. Fedoryshyn, V. Lymych, V. Zagraj, O. Masniak. Technique for defining the optimal parameters of moving window at vibration accelerometer signal processing. Energy Engineering and Control Systems, 2024, Vol. 10, No. 2, pp. 142 – 152. https://doi.org/10.23939/jeecs2024.02.142

1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Techprylad LLC
4
Lviv Polytechnic National University

This paper presents a technique for defining the optimal parameters of a moving window when processing the signal of a vibration accelerometer installed on a ball drum mill as part of the automation system. Time series signals of the vibration acceleration have been synthesized based on the experimental data of frequency spectrums with the application of the inverse Fourier transform. The lower and upper limits for the moving window size have been defined. The frequency spectrum for the time series signal within the moving window has been built by means of the fast Fourier transform method. An optimality criterion has been proposed. This criterion considers the quality of the derived frequency spectrum and the computational resources of the microprocessor system needed for processing the vibration accelerometer signal. The optimal duration of the moving window for the analyzed example is 100 ms. The impact of the time signal sampling rate on the frequency spectrum shape has been studied.

  1. S. Mohanty, K. K. Gupta, K. S. Raju (2015) Vibration feature extraction and analysis of industrial ball mill using MEMS accelerometer sensor and synchronized data analysis technique. Procedia Computer Science, Vol. 58, P. 217-224, https://doi.org/10.1016/j.procs.2015.08.058
  2. Ting Wang, Wenjie Zou, Ruijing Xu, Huaibing Xu, Le Tao, Jianjun Zhao, Yi He. (2021) Assessing load in ball mill using instrumented grinding media. Minerals Engineering, Volume 173, 107198, https://doi.org/10.1016/j.mineng.2021.107198
  3. Hassan, I.U.; Panduru, K.; Walsh, J. (2024) An in-depth study of vibration sensors for condition monitoring. Sensors, 24, 740. https://doi.org/10.3390/s24030740
  4. Gren Ya. Programming of real-time systems: a textbook. Lviv Polytechnic Publishing House, Lviv, 2011, 324 p.
  5. Huang, P., Jia, M. & Zhong, B. (2014) Study on the method for collecting vibration signals from mill shell based on measuring the fill level of ball mill. Mathematical Problems in Engineering, Volume 2014, Article ID 472315, 10 pages, https://doi.org/10.1155/2014/472315
  6. Jeong, H., Yu, J., Lee, Y., Ryu, S. S., & Kim, S. (2022). Real-time slurry characteristic analysis during ball milling using vibration data. Journal of Asian Ceramic Societies, 10(2), 430–437. https://doi.org/10.1080/21870764.2022.2068747
  7. Tang, W., Zhang, F., Luo, X., Wan, J., and Deng, T. (2023). Method of vibration signal processing and load-type identification of a mill based on ACMD-SVD. Mineral Resources Management, 39(1), pp.217-233. https://doi.org/10.24425/gsm.2023.144626
  8. Zhan, D.; Lu, D.; Gao, W.; Wei, H.; Sun, Y. (2024) Chatter detection in thin-wall milling based on multi-sensor fusion and dual-stream residual attention CNN. Machines, 12, 559. https://doi.org/10.3390/machines12080559
  9. Zhang, X., Wang, S., Li, W. and Lu, X. (2021) Heterogeneous sensors-based feature optimisation and deep learning for tool wear prediction. The International Journal of Advanced Manufacturing Technology, 114, 2651-2675. https://doi.org/10.1007/s00170-021-07021-6
  10. Brigham E. Oran. The Fast Fourier Transform and Its Applications. New York: Prentice-Hall, 1988.
  11. https://www.mathworks.com/help/matlab/ref/fft.html (accessed on 15.11.2024)
  12. Pistun, Y[evhen]; Fedoryshyn, R[oman]; Zagraj, V[olodymyr]; Nykolyn, H[ryhoriy] & Kokoshko, R[oman] (2019). Experimental Study and Mathematical Modelling of Nonlinear Control Plant, Proceedings of the 30th DAAAM International Symposium, pp.0967-0975, B. Katalinic (Ed.), Published by DAAAM International, ISBN 978-3-902734-22-8, ISSN 1726-9679, Vienna, Austria https://doi.org/10.2507/30th.daaam.proceedings.134
  13. https://www.mathworks.com/help/matlab/ref/ifft.html (accessed on 15.11.2024)
  14. A. V. Oppenheim, A. S. Willsky, S. H. Nawab. Signals and Systems. 2nd ed. Prentice Hall, 1997.
  15. R.B. Randall. Frequency Analysis. Bruel & Kjaer, 1987.