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Lithium-ion battery remaining useful life estimation based on fusion nonlinear degradation AR model and RPF algorithm

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Abstract

The lithium-ion battery cycle life prediction with particle filter (PF) depends on the physical or empirical model. However, in observation equation based on model, the adaptability and accuracy for individual battery under different operating conditions are not fully considered. Therefore, a novel fusion prognostic framework is proposed, in which the data-driven time series prediction model is adopted as observation equation, and combined to PF algorithm for lithium-ion battery cycle life prediction. Firstly, the nonlinear degradation feature of the lithium-ion battery capacity degradation is analyzed, and then, the nonlinear accelerated degradation factor is extracted to improve prediction ability of linear AR model. So an optimized nonlinear degradation autoregressive (ND–AR) time series model for remaining useful life (RUL) estimation of lithium-ion batteries is introduced. Then, the ND–AR model is used to realize multi-step prediction of the battery capacity degradation states. Finally, to improve the uncertainty representation ability of the standard PF algorithm, the regularized particle filter is applied to design a fusion RUL estimation framework of lithium-ion battery. Experimental results with the lithium-ion battery test data from NASA and CALCE (The Center for Advanced Life Cycle Engineering, the University of Maryland) show that the proposed fusion prognostic approach can effectively predict the battery RUL with more accurate forecasting result and uncertainty representation of probability density distribution (pdf).

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References

  1. Zhang J, Lee J (2011) A review on prognostics and health monitoring of Li-ion battery. J Power Sources 196(15):6007–6014

    Article  Google Scholar 

  2. He W, Williard N, Osterman M, Pecht M (2011) Prognostics of lithium-ion batteries based on Dempster-Shafer theory and the Bayesian Monte Carlo method. J Power Sources 196:10314–10321

    Article  Google Scholar 

  3. Goebel K, Saha B, Saxena A, Celaya JR, Christophersen JP (2008) Prognostics in battery health management. IEEE Instrum Meas Mag 8:33–40

    Article  Google Scholar 

  4. Saha B, Goebel K, Poll S, Christophersen J (2009) Prognostics methods for battery health monitoring using a Bayesian framework. IEEE Trans Instrum Meas 58(2):291–297

    Article  Google Scholar 

  5. Liu J, Wang W, Golnaraghi F (2009) A multi-step predictor with a variable input pattern for system state forecasting. Mech Syst Signal Process 23:1586–1599

    Article  Google Scholar 

  6. Peng Y, Liu D, Peng X (2010) A review: prognostics and health management. J Electron Meas Instrum 24(1):1–8

    Article  MathSciNet  Google Scholar 

  7. Si XS, Wang W, Hu CH, Zhou DH (2011) Remaining useful life estimation: a review on the statistical data driven approaches. Eur J Oper Res 213(1):1–14

    Article  MathSciNet  Google Scholar 

  8. Luo J, Andrew B, Krishna P, Liu Q, Shunsuke C (2003) An interacting multiple model approach to model-based prognostics. In: Proceedings of IEEE international conference on system man and cybernetics. Washington, DC, pp 189–194

  9. Pecht M, Jaai R (2010) A prognostics and health management roadmap for information and electronics-rich systems. Microelectron Reliab 50:317–323

    Google Scholar 

  10. Saha B, Goebel K, Christophersen J (2009) Comparison of prognostic algorithms for estimating remaining useful life of batteries. Trans Inst Meas Control 31:293–308

    Google Scholar 

  11. Olivares BE, Cerda Munoz MA, Orchard ME, Silva JF (2013) Particle-filtering-based prognosis framework for energy storage devices with a statistical characterization of state-of-health regeneration phenomena. IEEE Trans Instrum Meas 62:364–376

    Google Scholar 

  12. Orchard ME, Hevia-Koch P, Zhang B, Tang L (2013) Risk measures for particle-filtering-based state-of-charge prognosis in lithium-ion batteries. IEEE Trans Ind Electron 60:5260–5269

    Google Scholar 

  13. Liu D, Pang J, Zhou J, Peng Y (2013) Prognostics for state of health estimation of lithium-ion batteries based on combination Gaussian process functional regression. Microelectron Reliab 53:832–839

    Google Scholar 

  14. Liu J, Saxena A, Goebel K, Saha B, Wang W (2010) An adaptive recurrent neral network for remaining useful life prediction of lithium-ion batteries. In: Proceedings of annual conference of the prognostics and Health Management Society, Portland, Oregon, USA

  15. Liang Y, Liang X (2006) Improving signal prediction performance of neural networks through multi-resolution learning approach. IEEE Trans Syst Man Cybern B 36:341–352

    Google Scholar 

  16. Alvin JS, Craig F, Pritpal S, Terrill A, David ER (1999) Determination of state-of-charge and state-of-health of batteries by fuzzy logic methodology. J Power Sources 80(1–2):293–300

    Google Scholar 

  17. Kozlowski JD (2003) Electrochemical cell prognostics using online impedance measurements and model-based data fusion techniques. In: IEEE aerospace conference, Big Sky, Montana

  18. Liu J, Wang W, Ma F, Yang Y, Yang C (2012) A data-model-fusion prognostic framework for dynamic system state forecasting. Eng Appl Artif Intel 25:814–823

    Google Scholar 

  19. Saha B, Poll S, Goebel K (2007) An integrated approach to battery health monitoring using bayesian regression and state estimation. In: IEEE Autotestcon, Baltimore, MD, USA

  20. Xing Y, Ma EWM, Tsui KL, Pecht M (2013) An ensemble model for predicting the remaining useful performance of lithium-ion batteries. Microelectron Reliab 53:811–820

    Google Scholar 

  21. Fan J, Yao Q (2003) Nonlinear time series: nonparametric and parametric methods. Springer, New York

    Google Scholar 

  22. Akaike H (1974) A new look at the statistical model identification. IEEE Trans Automat Contr 19:716–723

    MATH  MathSciNet  Google Scholar 

  23. Simon D (2006) Optimal state estimation: Kalman, H Infinity and Nonlinear Approaches. Wiley, New Jersey

    Google Scholar 

  24. Gordon NJ, Salmond DJ, Smith AFM (1993) Novel approach to nonlinear/non-Gaussian Bayesian state estimation. In: IEEE proceedings on radar and signal processing, pp 107–113

  25. LeGland F, Musso C, Oudjane N (1998) An analysis of regularized interacting particle methods for nonlinear filtering. In: Proceedings of the IEEE European workshop on computer intensive methods in control and data processing. Prague, Czech Republic, pp 167–174

  26. Arulampalam MS, Maskell S, Gordon N, Clapp T (2001) A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking. IEEE Trans Signal Process 50:174–188

    Google Scholar 

  27. Saha B, Goebel K (2007) Battery data set, NASA Ames prognostics data repository, [http://ti.arc.nasa.gov/project/prognostic-data-repository], NASA Ames, Moffett Field, CA, USA

  28. Saha B, Goebel K (2009) Modeling li-ion battery capacity depletion in a particle filtering framework. In: Annual conference of the prognostics and health management society, San Diego, CA, USA

  29. Saxena A, Celaya J, Saha B, Saha S, Goebel K (2009) Evaluating algorithmic performance metrics tailored for prognostics. In: Proceedings of IEEE aerospace conference, Big Sky, MO, USA

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Acknowledgments

This research work is supported partly by National Natural Science Foundation of China (61301205), Natural Scientific Research Innovation Foundation in Harbin Institute of Technology (HIT.NSRIF.2014017), Research Fund for the Doctoral Program of Higher Education of China (20112302120027), the twelfth government advanced research fund (51317040302). The author would also express his sincere thanks to Dr. Wei He at CALCE of The University of Maryland and Dr. Eden Ma at PHM Center of City University of Hong Kong for their help on the CALCE battery data set. The authors would also like to thank anonymous reviewers for their valuable comments.

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Correspondence to Datong Liu.

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Liu, D., Luo, Y., Liu, J. et al. Lithium-ion battery remaining useful life estimation based on fusion nonlinear degradation AR model and RPF algorithm. Neural Comput & Applic 25, 557–572 (2014). https://doi.org/10.1007/s00521-013-1520-x

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