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Application research of multivariate linkage fluctuation analysis on condition evaluation in process industry

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Abstract

Abnormal conditions are hazardous in complex process systems, and the aim of condition recognition is to detect abnormal conditions and thus avoid severe accidents. The relationship of linkage fluctuation between monitoring variables can characterize the operation state of the system. In this study, we present a straightforward and fast computational method, the multivariable linkage coarse graining (MLCG) algorithm, which converts the linkage fluctuation relationship of multivariate time series into a directed and weighted complex network. The directed and weighted complex network thus constructed inherits several properties of the series in its structure. Thereby, periodic series convert into regular networks, and random series convert into random networks. Moreover, chaotic time series convert into scale-free networks. It demonstrates that the MLCG algorithm permits us to distinguish, identify, and describe in detail various time series. Finally, we apply the MLCG algorithm to practical observations series, the monitoring time series from a compressor unit, and identify its dynamic characteristics. Empirical results demonstrate that the MLCG algorithm is suitable for analyzing the multivariable linkage fluctuation relationship in complex electromechanical system. This method can be used to detect specific or abnormal operation condition, which is relevant to condition identification and information quality control of complex electromechanical system in the process industry.

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References

  1. Sun K, Gao J M, Gao Z Y, 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

    Google Scholar 

  2. Wang R X, Gao J M, Gao Z Y, et al. Complex network theory-based condition recognition of electromechanical system in process industry. Sci China Tech Sci, 2016, 59: 604–617

    Article  Google Scholar 

  3. Huang X L, Gao J M, Jiang H Q, et al. Fault root cause tracing of complicated equipment base on fault graph. Proc Inst Mech Eng, E J Process Mech Eng, 2013, 227: 1–6

    Google Scholar 

  4. Gao Z Y, Huo W H, Gao J M, et al. Diffusion mapping and abnormal recognition algorithm for mass data of chemical system (in Chinese). Comput Integra Manuf Sys, 2014, 12: 3092–3096

    Google Scholar 

  5. Pandit S M, Wu S M. Time Series and System Analysis with Application. New York: Wiley, 1983. 313–354

    Google Scholar 

  6. Alguacil M T, Orts V. A multivariate cointegrated model testing for temporal causality between exports and outward foreign investment: The Spanish case. Appl Econ, 2002, 34: 119–132

    Article  Google Scholar 

  7. Lee Y H, Hu H N, Chiou J S. Jump dynamics with structural breaks for crude oil prices. Energy Econ, 2012, 32: 343–350

    Article  Google Scholar 

  8. Maslyuk S, Smyth R. Cointegration between oil spot and future prices of the same and different grades in the presence of structural change. Energy Policy, 2009, 37: 1687–1693

    Article  Google Scholar 

  9. Kaufmann R K, Ullman B. Oil prices, speculation, and fundamentals: Interpreting causal relations among spot and futures prices. Energy Econ, 2009, 31: 550–558

    Article  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  11. Luque B, Lacasa L, Ballesteros F, et al. Horizontal visibility graphs: Exact results for random time series. Phys Rev E, 2009, 80: 046103

    Article  Google Scholar 

  12. Zhou T T, Jin N D, Gao Z K, et al. Limited penetrable visibility graph for establishing complex network from time series (in Chinese). Acta Phys Sin-Ch Ed, 2012, 6: 355–367

    Google Scholar 

  13. Gao Z, Jin N. Complex network from time series based on phase space reconstruction. Chaos, 2009, 19: 033137

    Article  Google Scholar 

  14. Xiang R, Zhang J, Xu X K, et al. Multiscale characterization of recurrence-based phase space networks constructed from time series. Chaos, 2012, 22: 013107

    Article  MathSciNet  Google Scholar 

  15. Tang J, Wang Y, Liu F. Characterizing traffic time series based on complex network theory. Physica A, 2013, 392: 4192–4201

    Article  Google Scholar 

  16. Dong Y, Huang W, Liu Z, et al. Network analysis of time series under the constraint of fixed nearest neighbors. Physica A, 2013, 392: 967–973

    Article  Google Scholar 

  17. Zhou L, Gong Z Q, Zhi R, et al. An approach to research the topology of Chinese temperature 90sequence based on complex network (in Chinese). Acta Phys Sin-Ch Ed, 2008, 57: 7380–7389

    Google Scholar 

  18. 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: 024402

    Article  MathSciNet  MATH  Google Scholar 

  19. Chen W D, Xu H, Guo Q. Dynamic analysis on the topological properties of the complex network of international oil prices (in Chinese). Acta Phys Sin-Ch Ed, 2010, 7: 4514–4523

    Google Scholar 

  20. Yao H X, Zhang Y Y. Topological properties of complex network on international spot price of gold. Int J Nonlinear Sci, 2013, 15: 263–270

    MathSciNet  Google Scholar 

  21. An H G. Linkage fluctuation in double variables of time series based on complex networks (in Chinese). Chin J Comput Phys, 2014, 6: 742–750

    Google Scholar 

  22. An H, Zhong W, Chen Y, et al. Features and evolution of international crude oil trade relationships: A trading-based network analysis. Energy, 2014, 74: 254–259

    Article  Google Scholar 

  23. Zhou L, Gong Z Q, Zhi R, et al. Influence of time delay on global temperature linkage (in Chinese). Acta Phys Sin-Ch Ed, 2011, 20: 380–387

    Google Scholar 

  24. Xie J T, Gao J M, Gao Z Y, et al. Modeling and analysis of linkage fluctuation for industrial process based on complex network theory. In: Proceedings of Annual Reliability and Maintainability Symposium (RAMS). Tucson AZ: IEEE, 2016

    Google Scholar 

  25. Yook S H, Jeong H, Barabási A L, et al. Weighted evolving networks. Phys Rev Lett, 2010, 86: 5835–5838

    Article  Google Scholar 

  26. Wang M, Tian L. From time series to complex networks: The phase space coarse graining. Physica A, 2016, 461: 456–468

    Article  MathSciNet  Google Scholar 

  27. Shannon C E, Weaver W. The Mathematical Theory of Communication. Urbana: University of Illinois Press, 1949

    MATH  Google Scholar 

  28. Wu J, Tan Y J, Deng H Z, et al. A new measure of heterogeneity of complex networks based on degree sequence. In: Unifying Themes in Complex Systems. Springer, 2008. 66–73

    Google Scholar 

  29. Guo S Z, Lu Z M, Chen Z, et al. Strength-strength and strength-degree correlation measures for directed weighted complex network analysis. IEICE Trans Inf Syst, 2011, E94.D: 2284–2287

    Google Scholar 

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Correspondence to ZhiYong Gao.

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Xie, J., Gao, J., Gao, Z. et al. Application research of multivariate linkage fluctuation analysis on condition evaluation in process industry. Sci. China Technol. Sci. 61, 397–407 (2018). https://doi.org/10.1007/s11431-017-9138-3

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  • DOI: https://doi.org/10.1007/s11431-017-9138-3

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