Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Measure of Fuzziness with fuzzy entropy function

  • Lee, Sang-Hyuk (School of Electrical Engineering, Pusan National University) ;
  • Kang, Keum-Boo (Colleage of Electric, Electronic & Information, Chungju National University) ;
  • Kim, Sung shin (School of Electrical Engineering, Pusan National University)
  • Published : 2004.08.01
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Abstract

The relations of fuzzy entropy, distance measure, and similarity measure are discussed in this paper. For the purpose of reliable signal selection, the fuzzy entropy is proposed by a distance measure. Properness of the proposed entropy is verified by the definition of the entropy measure. Fourier and Wavelet transform are applied to the stator current signal to obtain the fault features of an induction motor. Membership functions for 3-phase currents are obtained by the Bootstrap method and Central Limit Theorem. Finally, the proposed entropy is applied to measure the fault signal of an induction machine, and the fuzzy entropy values of phase currents are illustrated.

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References

  1. D. Bhandari, N. R. Pal, "Some new information measure of fuzzy sets," Inform. Sci. 67, 209-228, 1993. https://doi.org/10.1016/0020-0255(93)90073-U
  2. A. Ghosh, "Use of fuzziness measure in layered networks for object extraction: a generalization," Fuzzy Sets and Systems, 72, 331-348, 1995. https://doi.org/10.1016/0165-0114(94)00291-E
  3. B. Kosko, Neural Networks and Fuzzy Systems, Prentice-Hall, Englewood Cliffs, NJ, 1992.
  4. Liu Xuecheng, "Entropy, distance measure and similarity measure of fuzzy sets and their relations," Fuzzy Sets and Systems, 52, 305-318, 1992. https://doi.org/10.1016/0165-0114(92)90239-Z
  5. N.R. Pal, S.K. Pal, "Object-background segmentation using new definitions of entropy," IEEE Proc. 36, 284-295, 1989.
  6. J. L. Fan, W. X. Xie, "Distance measure and induced fuzzy entropy," Fuzzy Set and Systems, 104, 305-314, 1999. https://doi.org/10.1016/S0165-0114(99)80011-6
  7. J. L. Fan, Y. L. Ma, and W. X. Xie, "On some properties of distance measures," Fuzzy Set and Systems, 117, 355-361, 2001. https://doi.org/10.1016/S0165-0114(98)00387-X
  8. S.H. Lee and S.S. Kim, "On some properties of distance measures and fuzzy entropy," Proceedings of KFIS Fall Conference, 2002, 9-12.
  9. P. Vas, Parameter Estimation, Condition Monitoring,and Diagnosis of Electrical Machines, Clarendron Press, Oxford, 1993.
  10. G. B. Kliman and J. Stein, "Induction motor fault detection via passive current monitoring," International Conference in Electrical Machines, Cambridge, MA, pp. 13-17, August 1990.
  11. K. Abbaszadeh, J. Milimonfared, M. Haji, and H. A. Toliyat, "Broken Bar Detection In Iduction Motor via Wavelet Transformation," IECON'01: The 27th Annual Conference of the IEEE Industrial Electronics Society, pp. 95-99, 2001.
  12. Masoud Haji and Hamid A. Toliyat, "Patern Recognition-A Technique for Induction Machines Rotor Fault Detection Eccentricity and Broken Bar Fault," Conference Record of the 2001 IEEE Industry Applications Conference, vol. 3, pp. 1572-1578, 30 Sept.-4 Oct. 2001.
  13. S. Nandi, H. A. Toliyat, "Condition Monitoring and Fault Diagnosis of Electrical Machines A Review," IEEE Industry Applications Conference, vol. 1, pp. 197-204, 1999.
  14. Daubechies, Ten Lectures on Wavelets. The Society for Industrial and Applied Mathematics, 1992.
  15. S. Mallat, A Wavelet tour of signal processing. Academic Press, CA, 1999.
  16. W. L. Martinez and A.R. Martinez, Computational Statistics Handbook with MATLAB, Chapman & Hall/CRC, 2002.
  17. Development of fault detection algorithm using the stator current, Poscon, 2003.