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Complex network theory-based condition recognition of electromechanical system in process industry

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Abstract

In order to recognize the different operating conditions of a distributed and complex electromechanical system in the process industry, this work proposed a novel method of condition recognition by combining complex network theory with phase space reconstruction. First, a condition-space with complete information was reconstructed based on phase space reconstruction, and each condition in the space was transformed into a node of a complex network. Second, the limited penetrable visibility graph method was applied to establish an undirected and un-weighted complex network for the reconstructed condition-space. Finally, the statistical properties of this network were calculated to recognize the different operating conditions. A case study of a real chemical plant was conducted to illustrate the analysis and application processes of the proposed method. The results showed that the method could effectively recognize the different conditions of electromechanical systems. A complex electromechanical system can be studied from the systematic and cyber perspectives, and the relationship between the network structure property and the system condition can also be analyzed by utilizing the proposed method.

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References

  1. Jing C, Hou J. SVM and PCA based fault classification approaches for complicated industrial process. Neurocomputing, 2015, 167: 636–642

    Article  Google Scholar 

  2. Vitanov N K, Hoffmann N P, Wernitz B. Nonlinear time series analysis of vibration data from a friction brake: SSA, PCA, and MFDFA. Chaos Soliton Fract, 2014, 69: 90–99

    Article  Google Scholar 

  3. Zuo M J, Lin J, Fan X. Feature separation using ICA for a onedimensional time series and its application in fault detection. J Sound Vib, 2005, 287: 614–624

    Article  Google Scholar 

  4. Scholkopf B, Smola A, Muller K R. Nonlinear component analysis as a kernel eigenvalue problem. Neural Comput, 1998, 10: 1299–1319

    Article  Google Scholar 

  5. Vinay A, Shekhar V S, Murthy K N B, et al. Face Recognition Using Gabor Wavelet Features with PCA and KPCA–A Comparative Study. In: Soni AK, Lobiyal DK, eds. Procedia Computer Science. India: Elsevier Science. 2015, 57: 650–659

    Article  Google Scholar 

  6. Bach F R, Jordan M I. Kernel independent component analysis. J Mach Learn Res, 2003, 3: 1–48

    MathSciNet  MATH  Google Scholar 

  7. Kuo S C, Lin C J, Liao J R. 3D reconstruction and face recognition using kernel-based ICA and neural networks. Expert Syst Appl, 2011, 38: 5406–5415

    Article  Google Scholar 

  8. Jia G F, Wu B, Hu Y M, et al. A synthetic criterion for early recognition of cutting chatter. Sci China Tech Sci, 2013, 56: 2870–2876

    Article  Google Scholar 

  9. Kai S, Jianmin G, Zhiyong G, et al. Plant-wide quantitative assessment of a process industry system’s operating state based on color-spectrum. Mech Syst Signal Pr, 2015, 60: 644–655

    Article  Google Scholar 

  10. Watts D J, Strogatz S H. Collective dynamics of ‘small-world’ networks. Nature, 1998, 393: 440–442

    Article  Google Scholar 

  11. Barabasi A L, Albert R. Emergence of scaling in random networks. Science, 1999, 286: 509–512

    Article  MathSciNet  MATH  Google Scholar 

  12. Boccaletti S, Latora V, Moreno Y, et al. Complex networks: Structure and dynamics. Phys Rep, 2006, 424: 175–308

    Article  MathSciNet  Google Scholar 

  13. Boccaletti S, Bianconi G, Criado R, et al. The structure and dynamics of multilayer networks. Phys Rep, 2014, 544: 1–122

    Article  MathSciNet  Google Scholar 

  14. Zhang J, Small M. Complex network from pseudoperiodic time series: topology versus dynamics. Phys Rev Lett, 2006, 96: 238701–238701

    Article  Google Scholar 

  15. Zhang J, Sun J, Luo X, et al. Characterizing pseudoperiodic time series through the complex network approach. Physica D, 2008, 237: 2856–2865

    Article  MathSciNet  MATH  Google Scholar 

  16. Mehraban S, Shirazi A H, Zamani M, et al. Coupling between time series: A network view. Europhys Lett, 2013, 103: 50011

  17. Zhou T T, Tin N D, Gao Z K, et al. Limited penetrable visibility graph for establishing complex network from time series. Acta Phys Sin, 2012, 61: 030506

    Google Scholar 

  18. Gao Z-K, Jin N-D. A directed weighted complex network for characterizing chaotic dynamics from time series. Nonlinear Anal-Real World Appl, 2012, 13: 947–952

    Article  MathSciNet  MATH  Google Scholar 

  19. Sun X, Small M, Zhao Y, et al. Characterizing system dynamics with a weighted and directed network constructed from time series data. Chaos, 2014, 24: 297–302

    MathSciNet  Google Scholar 

  20. Gao Z, Jin N. Complex network from time series based on phase space reconstruction. Chaos, 2009, 19: 375–393

    Google Scholar 

  21. Wu Z, Lu X, Deng Y. Image edge detection based on local dimension: A complex networks approach. Physica A, 2015, 440: 9–18

    Article  Google Scholar 

  22. Gonçalves W N, Machado B B, Bruno O M. A complex network approach for dynamic texture recognition. Neurocomputing, 2015, 153: 211–220

    Article  Google Scholar 

  23. Tang J, Wang Y, Wang H, et al. Dynamic analysis of traffic time series at different temporal scales: A complex networks approach. Physica A, 2014, 405: 303–315

    Article  Google Scholar 

  24. Gai Y, Cai M, Shi Y. Analytical and experimental study on complex compressed air pipe network. Chin J Mech Eng-En, 2015, 28: 1023–1029

    Article  Google Scholar 

  25. Allegrini P, Grigolini P, Palatella L. Intermittency and scale-free networks: a dynamical model for human language complexity. Chaos Soliton Fract, 2004, 20: 95–105

    Article  MathSciNet  MATH  Google Scholar 

  26. Tam W M, Lau F C M, Tse C K. Complex-network modeling of a call network. IEEE T Circuits-I, 2009, 56: 416–429

    Article  MathSciNet  Google Scholar 

  27. Xiao Fan W, Guanrong C. Complex networks: small-world, scalefree and beyond. IEEE Circuits Syst Mag, 2003, 3: 6–20

    Article  Google Scholar 

  28. Nguyen A D, Senac P, Diaz M. Understanding and modeling the small-world phenomenon in dynamic networks. Proceedings of the ACM international conference on Modeling, analysis and simulation of wireless and mobile systems, Paphos, the Cyprus Island, 2012. 377–384

    Google Scholar 

  29. Palit S K, Mukherjee S, Bhattacharya D K. A high dimensional delay selection for the reconstruction of proper phase space with cross auto-correlation. Neurocomputing, 2013, 113: 49–57

    Article  Google Scholar 

  30. Lacasa L, Luque B, Ballesteros F, et al. From time series to complex networks: The visibility graph. P Natl Acad Sci Usa, 2008, 105: 4972–4975

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to ZhiYong Gao.

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Wang, R., Gao, J., Gao, Z. et al. Complex network theory-based condition recognition of electromechanical system in process industry. Sci. China Technol. Sci. 59, 604–617 (2016). https://doi.org/10.1007/s11431-016-6025-2

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  • DOI: https://doi.org/10.1007/s11431-016-6025-2

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