Abstract
As a new multi-class discrimination approach, variable prediction model class discrimination (VPMCD) can make full use of the intrinsic relationship among fault features to built variable prediction model for different working conditions and to accomplish multi-class discrimination according to prediction error square sum. It has been effectively used to multi-fault diagnosis when typical fault samples and fault modes can be obtained. However, in most application cases, there only exists normal samples, or there are short of typical fault modes; therefore the variable prediction model is unable to be established and there appear a challenge. Aiming at this problem, VPMCD-based novelty detection (VPMCD-ND) method is put forward in this paper. In VPMCD-ND method, the classifiers are trained only by normal samples firstly. Subsequently, the threshold of prediction error square sum is set according to Chebyshev’s inequality. Lastly, the novelty (from abnormal class) is detected by whether the prediction error square sum is larger than the threshold. Combing with Local characteristic-scale decomposition, a fault diagnosis method is developed and applied to roller bearings. The results show that the proposed VPMCD-ND method not only is more effective than the support vector data description method, but is benefit for online fault diagnosis.









Similar content being viewed by others
References
Bubathi Muruganathamn, M.A., Sanjith, B.K., et al.: Roller element bearing fault diagnosis using singular spectrum analysis. Mech. Syst. Signal Process. 35, 150–166 (2013)
Wang, Z., Chen, J., Dong, G., et al.: Constrained independent component analysis and its application to machine fault diagnosis. Mech. Syst. Signal Process. 2011(25), 2501–2512 (2011)
Guangfu, B., Jinji, G., Xuejun, L., et al.: Early fault diagnosis of rotating machinery based on wavelet packets-Empirical mode decomposition feature extraction and neural network. Mech. Syst. Signal Process. 27, 696–711 (2012)
Lei, Y., Lin, J., He, Z., et al.: A review on empirical mode decomposition in fault diagnosis of rotating machinery. Mech. Syst. Signal Process. 2013(35), 108–126 (2013)
Wang, X., Makis, V., Yang, M.: A wavelet approach to fault diagnosis of a gearbox under varying load conditions. J. Sound Vib. 329(9), 1570–1585 (2010)
Jiang, Y., Zhu, H., Li, Z.: A new compound faults detection method for rolling bearings based on empirical wavelet transform and chaotic oscillator. Chaos Solitons Fractals 89, 8–19 (2016)
Jonathan, S.S.: The local mean decomposition and its application to EEG perception data. J. R. Soc. Interface 2(5), 443–454 (2005)
Cheng, J., Yang, Y., Yang, Y.: A rotating machinery fault diagnosis method based on local mean decomposition. Digit. Signal Process. 22(2), 356–366 (2012)
Lei, Y., He, Z., Zi, Y.: EEMD method and WNN for fault diagnosis of locomotive roller bearings. Expert Syst. Appl. 38, 7334–7341 (2011)
Liu, W.Y., Zhang, W.H., Han, J.G., Wang, G.F.: A new wind turbine fault diagnosis method based on the local mean decomposition. Renew. Energy 48(6), 411–415 (2012)
Frei, M.G., Osorio, I.: Intrinsic time-scale decomposition: time-frequency-energy analysis and real-time filtering of non-stationary signals. Proc. R. Soc. 463, 321–342 (2007)
Jinde, Z., Junsheng, C., Yang, Y.: A rolling bearing fault diagnosis approach based on LCD and fuzzy entropy. Mech. Mach. Theory 2013(70), 441–453 (2013)
Luo, S., Cheng, J., Ao, H.: Application of LCD-SVD technique and CRO-SVM method to fault diagnosis for roller bearing. Shock Vib. 2015, 8 (2015)
Mahadevan, S., Shah, S.L.: Fault detection and diagnosis in process data using one-class support vector machines. J. Process Control 19(10), 1627–1639 (2009)
Lian, H.: On feature selection with principal component analysis for one-class SVM. Pattern Recognit. Lett. 33, 1027–1031 (2012)
Desforges, M.J., Jacob, P.J., Cooper, J.E.: Applications of probability density estimation to the detection of abnormal conditions in engineering. Proc. Inst. Mech. Eng. 1998(212), 687–703 (1998)
Markou, M., Singh, S.: Noveltydetection: a review–part 2:neural network based approaches. Sig. Process. 83(12), 2499–2521 (2003)
Theofilou, D., Steuber, V., Schutter, E.D.: Novelty detection in Kohonen-like network with a long-term depression learning rule. Neurocomputing 52, 411–417 (2003)
Tax, D.M.J., Duin, R.P.W.: Uniform object generation for optimizing one-class classiers. J. Mach. Learn. 2001(2), 155–173 (2001)
Dong, M., He, D.: A segmental hidden semi-Markov model (HSMM)-based diagnostics and prognostics framework and methodology. Mech. Syst. Signal Process. 21(5), 2248–2266 (2007)
Miao, Q., Makis, V.: Condition monitoring and classification of rotating machinery using wavelets and hidden Markov models. Mech. Syst. Signal Process. 21, 840–855 (2007)
Zhang, R., Li, T., Xiao, X.: A real-valued negative selection algorithm based on grid for anomaly detection. Abstr. Appl. Anal. 2013(3950), 415–425 (2013)
Ling, N., Feng, F.G., Jing, M.: Technique for intrusion detection based on cutting-based real-valued negative selection. Int. J. Secur. Appl. 9(9), 95–104 (2015)
Byungho, H., Sungzoon, C.: Characteristics of auto-associative MLP as a noveltydetector. Proc. IEEE IJCNN Confer. 1999(5), 3086–3091 (1999)
Albrecht, S., Busch, J., Kloppenburg, M., et al.: Generalised radial basis function networks for classication and noveltydetection: self-organisation of optimal Bayesian decision. Neural Netw. 2000(13), 1075–1093 (2000)
Wong, M.L.D., Jack, L.B., Nandi, A.K.: Modified self-organising map for automated novelty detection applied to vibration signal monitoring. Mech. Syst. Signal Process. 20, 593–610 (2006)
Lee, H., Cho, S.: Application of LVQ to novelty detection using outlier training data. Pattern Recognit. Lett. 27, 1572–1579 (2006)
Widodo, A., Yang, B.-S.: Support vector machine in machine condition monitoring and fault diagnosis. Mech. Syst. Signal Process. 21(6), 2560–2574 (2007)
Wang, S., Jianbo, Y., Lapira, E., et al.: A modified support vector data description based novelty detection approach for machinery components. Appl. Soft Comput. 13(2), 1193–1205 (2013)
Hu Lei, H., Niaoqing, Q.G.: Online fault detection algorithm based on double-threshold OCSVM and its application. J. Mech. Eng. 45(3), 169–173 (2009)
Raghuraj, R., Lakshminarayanan, S.: Variable predictive models-A new multivariate classification approach for pattern recognition applications. Patten Recognit. 42(1), 7–16 (2009)
Luo, S., Cheng, J., Yang, Y.: An intelligent fault diagnosis method for rotating machinery based on multi-scale higher order singular spectrum analysis and GA-VPMCD. Measurement 87, 38–50 (2016)
Yang, Y., Wang, H., Cheng, J., et al.: A fault diagnosis approach for roller bearing based on VPMCD under variable speed condition. Measurement 46(8), 2306–2312 (2013)
Acknowledgements
All of the authors would like to extend the sincerely gratulation for the support from Cooperative Innovation Center for the Construction& Development of Dongting Lake Ecological Economic Zone, Doctoral Found of Hunan University of Arts and Science (16BSQD22), and Scientific Research Fund of Hunan Provincial Education Department (17A147).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Luo, S., Cheng, J. VPMCD based novelty detection method on and its application to fault identification for local characteristic-scale decomposition. Cluster Comput 20, 2955–2965 (2017). https://doi.org/10.1007/s10586-017-0932-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10586-017-0932-2