Bayesian framework for satellite rechargeable lithium battery synthesizing bivariate degradation and lifetime data

Reliability and remaining useful life (RUL) estimation for a satellite rechargeable lithium battery (RLB) are significant for prognostic and health management (PHM). A novel Bayesian framework is proposed to do reliability analysis by synthesizing multisource data, including bivariate degradation data and lifetime data. Bivariate degradation means that there are two degraded performance characteristics leading to the failure of the system. First, linear Wiener process and Frank Copula function are used to model the dependent degradation processes of the RLB’s temperature and discharge voltage. Next, the Bayesian method, in combination with Markov Chain Monte Carlo (MCMC) simulations, is provided to integrate limited bivariate degradation data with other congeneric RLBs’ lifetime data. Then reliability evaluation and RUL prediction are carried out for PHM. A simulation study demonstrates that due to the data fusion, parameter estimations and predicted RUL obtained from our model are more precise than models only using degradation data or ignoring the dependency of different degradation processes. Finally, a practical case study of a satellite RLB verifies the usability of the model.摘要卫星蓄电池剩余剩余寿命预测是卫星系统故障诊断与健康管理的重要一环。 本文创新性的提出了一个融合二元性能退化数据和寿命数据的可靠性分析贝叶斯模型, 对卫星锂电池的剩余寿命进行预测。 二元性能退化是指系统存在两个相关的性能退化现象, 二者的共同作用下可能导致系统故障。 模型中首先利用 Copula 函数和线性维纳过程对锂电池的二元性能退化数据进行建模。 而后, 利用贝叶斯模型融合小子样寿命数据, 采用马尔科夫蒙特卡洛仿真估计模型参数, 从而对剩余寿命进行预测, 并通过仿真和实例分析对所提模型的性能进行分析。 结果表明融合了二元性能退化数据和寿命数据后, 剩余寿命的预测精度能够有效提高。

[1]  N. Balakrishnan,et al.  Bivariate degradation analysis of products based on Wiener processes and copulas , 2013 .

[2]  Ganesan Nagasubramanian,et al.  Modeling capacity fade in lithium-ion cells , 2005 .

[3]  Bhaskar Saha,et al.  Prognostics Methods for Battery Health Monitoring Using a Bayesian Framework , 2009, IEEE Transactions on Instrumentation and Measurement.

[4]  N. G. Best,et al.  The deviance information criterion: 12 years on , 2014 .

[5]  J. Shim,et al.  Electrochemical analysis for cycle performance and capacity fading of a lithium-ion battery cycled at elevated temperature , 2002 .

[6]  Sheng-Tsaing Tseng,et al.  Mis-Specification Analysis of Linear Degradation Models , 2009, IEEE Transactions on Reliability.

[7]  Tongmin Jiang,et al.  A Bayesian reliability evaluation method with integrated accelerated degradation testing and field information , 2013, Reliab. Eng. Syst. Saf..

[8]  B. Vural,et al.  A dynamic lithium-ion battery model considering the effects of temperature and capacity fading , 2009, 2009 International Conference on Clean Electrical Power.

[9]  Michael Osterman,et al.  Prognostics of lithium-ion batteries based on DempsterShafer theory and the Bayesian Monte Carlo me , 2011 .

[10]  Kai Goebel,et al.  Modeling Li-ion Battery Capacity Depletion in a Particle Filtering Framework , 2009 .

[11]  H. D. Miller,et al.  The Theory Of Stochastic Processes , 1977, The Mathematical Gazette.

[12]  F. Massey The Kolmogorov-Smirnov Test for Goodness of Fit , 1951 .

[13]  Axel Lehmann Joint modeling of degradation and failure time data , 2009 .

[14]  Tao Yuan,et al.  A Hierarchical Bayesian Degradation Model for Heterogeneous Data , 2015, IEEE Transactions on Reliability.

[15]  James W. Evans,et al.  Electrochemical‐Thermal Model of Lithium Polymer Batteries , 2000 .

[16]  Ping Jiang,et al.  Residual life estimation based on bivariate Wiener degradation process with measurement errors , 2013 .

[17]  Narayanaswamy Balakrishnan,et al.  Mis-specification analyses of gamma and Wiener degradation processes , 2011 .

[18]  Huibing Hao,et al.  A Bayesian Framework for Reliability Assessment via Wiener Process and MCMC , 2014 .

[19]  S. C. Chen,et al.  Thermal analysis of lithium-ion batteries , 2005 .

[20]  Zhengqiang Pan,et al.  Bivariate Constant-Stress Accelerated Degradation Model and Inference , 2011, Commun. Stat. Simul. Comput..

[21]  C. Robert,et al.  Bayesian Modeling Using WinBUGS , 2009 .

[22]  Mukund Patel,et al.  Spacecraft Power Systems , 2004 .

[23]  Jorge Alberto Achcar,et al.  A Bayesian Analysis in the Presence of Covariates for Multivariate Survival Data: An example of Application , 2011 .

[24]  Hong-Zhong Huang,et al.  Reliability analysis on competitive failure processes under fuzzy degradation data , 2011, Appl. Soft Comput..

[25]  Tom Gorka,et al.  Method for estimating capacity and predicting remaining useful life of lithium-ion battery , 2014, 2014 International Conference on Prognostics and Health Management.

[26]  R. Tibshirani,et al.  An introduction to the bootstrap , 1993 .

[27]  Yu Peng,et al.  Satellite Lithium-Ion Battery Remaining Cycle Life Prediction with Novel Indirect Health Indicator Extraction , 2013 .

[28]  Jay Lee,et al.  A review on prognostics and health monitoring of Li-ion battery , 2011 .

[29]  Zhongbao Zhou,et al.  A Bayesian framework for on-line degradation assessment and residual life prediction of secondary batteries in spacecraft , 2013, Reliab. Eng. Syst. Saf..

[30]  Jiqiang Guo,et al.  Bayesian Methods for Estimating System Reliability Using Heterogeneous Multilevel Information , 2013, Technometrics.

[31]  Xiao-Sheng Si,et al.  An Adaptive Prognostic Approach via Nonlinear Degradation Modeling: Application to Battery Data , 2015, IEEE Transactions on Industrial Electronics.

[32]  Xue Wang,et al.  Remaining Useful Life Prediction of Lithium-Ion Batteries Based on the Wiener Process with Measurement Error , 2014 .

[33]  M. Wohlfahrt‐Mehrens,et al.  Ageing mechanisms in lithium-ion batteries , 2005 .

[34]  Abe Sklar,et al.  Random variables, joint distribution functions, and copulas , 1973, Kybernetika.

[35]  Chaoyang Wang,et al.  Thermal‐Electrochemical Modeling of Battery Systems , 2000 .

[36]  Roger A. Dougal,et al.  Dynamic lithium-ion battery model for system simulation , 2002 .

[37]  Young Jin Choi,et al.  Stability analysis of a voltage-temperature (V/T) limit circuit for satellite power system , 1996, IECEC 96. Proceedings of the 31st Intersociety Energy Conversion Engineering Conference.

[38]  Weiwen Peng,et al.  A Bayesian optimal design for degradation tests based on the inverse Gaussian process , 2014 .

[39]  B. Guo,et al.  Residual life estimation based on bivariate Wiener degradation process with time-scale transformations , 2014 .

[40]  Weiwen Peng,et al.  Life cycle reliability assessment of new products - A Bayesian model updating approach , 2013, Reliab. Eng. Syst. Saf..

[41]  R. Spotnitz Simulation of capacity fade in lithium-ion batteries , 2003 .

[42]  Bradley P. Carlin,et al.  Bayesian measures of model complexity and fit , 2002 .