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Residual life estimation of lithium-ion batteries based on nonlinear Wiener process with measurement error

Author

Listed:
  • Yangyang Han
  • Changlin Ma
  • Shengjin Tang
  • Fengfei Wang
  • Xiaoyan Sun
  • Xiaosheng Si

Abstract

Residual life (RL) estimation is a key issue in the prognostics and health management (PHM). This paper proposes a heuristic algorithm for RL estimation based on the nonlinear Wiener process with measurement error (ME) and also proposes an unbiased parameters estimation method. First, we use the nonlinear Wiener process with ME to model the degradation process. Then, an analytical expression of parameters estimation results with restriction of the nonlinear coefficient and variance of ME is obtained and an unbiased parameters estimation method is also derived by analyzing the natures of parameters estimation. Moreover, an empirical unbiased parameters estimation method for the degradation data with different measurement times is also proposed. After that, we extend the heuristic algorithm to the nonlinear Wiener process with ME and some relevant conclusions are proved. Finally, some simulation examples and a case study of lithium-ion batteries are used for experimental verification. The results show that the unbiased parameters estimation method is superior to the traditional maximum likelihood estimation (MLE) method and the heuristic RL estimation method can overcome the influence of imperfect prior information for lithium-ion batteries based on the nonlinear Wiener process with ME.

Suggested Citation

  • Yangyang Han & Changlin Ma & Shengjin Tang & Fengfei Wang & Xiaoyan Sun & Xiaosheng Si, 2023. "Residual life estimation of lithium-ion batteries based on nonlinear Wiener process with measurement error," Journal of Risk and Reliability, , vol. 237(1), pages 133-151, February.
  • Handle: RePEc:sae:risrel:v:237:y:2023:i:1:p:133-151
    DOI: 10.1177/1748006X221080345
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    References listed on IDEAS

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    1. Xuebing Han & Minggao Ouyang & Languang Lu & Jianqiu Li, 2014. "Cycle Life of Commercial Lithium-Ion Batteries with Lithium Titanium Oxide Anodes in Electric Vehicles," Energies, MDPI, vol. 7(8), pages 1-15, July.
    2. Jin, Guang & Matthews, David E. & Zhou, Zhongbao, 2013. "A Bayesian framework for on-line degradation assessment and residual life prediction of secondary batteries inspacecraft," Reliability Engineering and System Safety, Elsevier, vol. 113(C), pages 7-20.
    3. Xiaodong Xu & Chuanqiang Yu & Shengjin Tang & Xiaoyan Sun & Xiaosheng Si & Lifeng Wu, 2019. "Remaining Useful Life Prediction of Lithium-Ion Batteries Based on Wiener Processes with Considering the Relaxation Effect," Energies, MDPI, vol. 12(9), pages 1-17, May.
    4. Ng, Selina S.Y. & Xing, Yinjiao & Tsui, Kwok L., 2014. "A naive Bayes model for robust remaining useful life prediction of lithium-ion battery," Applied Energy, Elsevier, vol. 118(C), pages 114-123.
    5. Wu, Ji & Zhang, Chenbin & Chen, Zonghai, 2016. "An online method for lithium-ion battery remaining useful life estimation using importance sampling and neural networks," Applied Energy, Elsevier, vol. 173(C), pages 134-140.
    6. Shengjin Tang & Chuanqiang Yu & Xue Wang & Xiaosong Guo & Xiaosheng Si, 2014. "Remaining Useful Life Prediction of Lithium-Ion Batteries Based on the Wiener Process with Measurement Error," Energies, MDPI, vol. 7(2), pages 1-28, January.
    7. Jouin, Marine & Gouriveau, Rafael & Hissel, Daniel & Péra, Marie-Cécile & Zerhouni, Noureddine, 2016. "Degradations analysis and aging modeling for health assessment and prognostics of PEMFC," Reliability Engineering and System Safety, Elsevier, vol. 148(C), pages 78-95.
    8. Shengjin Tang & Xiaosong Guo & Chuanqiang Yu & Haijian Xue & Zhijie Zhou, 2014. "Accelerated Degradation Tests Modeling Based on the Nonlinear Wiener Process with Random Effects," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, May.
    9. Xu, Fan & Yang, Fangfang & Fei, Zicheng & Huang, Zhelin & Tsui, Kwok-Leung, 2021. "Life prediction of lithium-ion batteries based on stacked denoising autoencoders," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
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