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

Yang Zhang , Xiang Jia , Bo Guo

Journal of Central South University ›› 2018, Vol. 25 ›› Issue (2) : 418 -431.

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Journal of Central South University ›› 2018, Vol. 25 ›› Issue (2) : 418 -431. DOI: 10.1007/s11771-018-3747-2
Article

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

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Abstract

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.

Keywords

rechargeable lithium battery / Bayesian framework / bivariate degradation / lifetime data / remaining useful life / reliability evaluation

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Yang Zhang, Xiang Jia, Bo Guo. Bayesian framework for satellite rechargeable lithium battery synthesizing bivariate degradation and lifetime data. Journal of Central South University, 2018, 25(2): 418-431 DOI:10.1007/s11771-018-3747-2

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References

[1]

GaoL-j, LiuS-y, DougalR A. Dynamic lithium-ion battery model for system simulation [J]. IEEE Transactions on Components and Packaging Technologies, 2002, 25(3): 495-505

[2]

ErdincO, VuralB, UzunogluM. A dynamic lithium-ion battery model considering the effects of temperature and capacity fading [C]. //International Conference on Clean Electrical Power, 2009, IEEE, Capri, Italy: 383386

[3]

JinG, MatthewsD E, ZhouZ-bao. A Bayesian framework for on-line degradation assessment and residual life prediction of secondary batteries in spacecraft [J]. Reliability Engineering & System Safety, 2013, 113: 7-20

[4]

PatelM RSpacecraft power systems [M], 2005, Boca Raton, CRC Press

[5]

SiX-sheng. An adaptive prognostic approach via nonlinear degradation modelling: Application to battery data [J]. IEEE Transactions on Industrial Electronics, 2014, 62(8): 5082-5096

[6]

TangS-j, YuC-q, WangX. Remaining useful life prediction of lithium-ion batteries based on the Wiener process with measurement error [J]. Energies, 2014, 7(2): 520-547

[7]

HuC, JainG, TamirisaP. Method for estimating capacity and predicting remaining useful life of lithium-ion battery [J]. Applied Energy, 2014, 126: 182-189

[8]

SongL, EvansJ W. Electrochemical-thermal model of lithium polymer batteries [J]. Journal of the Electrochemical Society, 2000, 147(6): 2086-2095

[9]

GuW B, WangC Y. Thermal-electrochemical modeling of battery systems [J]. Journal of the Electrochemical Society, 2000, 147(8): 2910-2922

[10]

LiawB Y, JungstR G, NagasubramanianG. Modeling capacity fade in lithium-ion cells [J]. Journal of Power Sources, 2005, 140(1): 157-161

[11]

ShimJ, KosteckiR, RichardsonT. Electrochemical analysis for cycle performance and capacity fading of a lithium-ion battery cycled at elevated temperature [J]. Journal of Power Sources, 2002, 112(1): 222-230

[12]

SpotnitzR. Simulation of capacity fade in lithium-ion batteries [J]. Journal of Power Sources, 2003, 113(1): 72-80

[13]

LiuD-t, WangH, PengY. Satellite lithium-ion battery remaining cycle life prediction with novel indirect health indicator extraction [J]. Energies, 2013, 6(8): 3654-3668

[14]

VetterJ, NovK P, WagnerM R. Ageing mechanisms in lithium-ion batteries [J]. Journal of Power Sources, 2005, 147(1): 269-281

[15]

WangX-l, GuoB, ChengZ-jun. Residual life estimation based on bivariate Wiener degradation process with time-scale transformations [J]. Journal of Statistical Computation and Simulation, 2012, 84(3): 545-563

[16]

ChenS C, WanC C, WangY Y. Thermal analysis of lithium-ion batteries [J]. Journal of Power Sources, 2005, 140(1): 11-24

[17]

ZhangJ-l, LeeJ. A review on prognostics and health monitoring of Li-ion battery [J]. Journal of Power Sources, 2011, 196(15): 6007-6014

[18]

ChoiY-j, WangJ-suk. Stability analysis of a voltage-temperature (V/T) limit circuit for satellite power system [C]//Proceedings of the Energy Conversion Engineering Conference (IECEC 1996). Washington, DC, USA: IEEE, 1996, 1: 316-321

[19]

CoxD R, MillerH DThe theory of stochastic process [M], 1965, London, Chapman and Hall

[20]

PanZ-q, BalakrishnanN, SunQ. Bivariate degradation analysis of products based on Wiener processes and copulas [J]. Journal of Statistical Computation and Simulation, 2013, 83(7): 1316-1329

[21]

WangX-l, GuoB, ChengZ-j. Residual life estimation based on bivariate Wiener degradation process with measurement errors [J]. Journal of Central South University, 2013, 20(1): 844-851

[22]

SahaB, GoebelK, PollS. Prognostics methods for battery health monitoring using a Bayesian framework [J]. IEEE Transactions on Instrumentation and Measurement, 2009, 58(2): 291-296

[23]

HeW, WilliardN, OstermanM. Prognostics of lithium-ion batteries based on Dempster–Shafer theory and the Bayesian Monte Carlo method [J]. Journal of Power Sources, 2011, 196(23): 10314-10321

[24]

WangL-z, PanR, LiX-y. A Bayesian reliability evaluation method with integrated accelerated degradation testing and field information [J]. Reliability Engineering & System Safety, 2013, 112: 38-47

[25]

LehmannA. Joint modeling of degradation and failure time data [J]. Journal of Statistical Planning and Inference, 2009, 139(5): 1693-1706

[26]

GuoJ-q, WilsonA G. Bayesian methods for estimating system reliability using heterogeneous multilevel information [J]. Technometrics, 2013, 55(4): 461-472

[27]

NelsenR BAn introduction to copulas [M], 2006, Second ed. New York, Springer Science+Business Media, Inc

[28]

PengW-w, HuangH-z, LiY-f. Life cycle reliability assessment of new products—A Bayesian model updating approach [J]. Reliability Engineering & System Safety, 2013, 112(10): 9-19

[29]

SklarA. Random variables, joint distributions, and copulas [J]. Kybernetica, 1973, 9(6): 449-460

[30]

SahaB, GoebelK. Modeling Li-ion battery capacity depletion in a particle filtering framework [C]. //The Annual Conference of the Prognostics and Health Management Society, 2009, PHMsociety, San Diego, CA: 29092924

[31]

PengC Y, TsengS T. Mis-specification analysis of linear prediction models [J]. IEEE Transactions on Reliability, 2009, 58(3): 444-455

[32]

NtzoufrasIBayesian modeling using WinBUGS [M], 2009, Canada, John Wiley & Sons, Inc

[33]

PengW-w, LiuY, LiY-f. A Bayesian optimal design for degradation tests based on the inverse Gaussian process [J]. Journal of Mechanical Science and Technology, 2014, 28(10): 3937-3946

[34]

WangZ-l, HuangH-z, DuLi. Reliability analysis on competitive failure processes under fuzzy degradation data [J]. Applied Soft Computing, 2011, 11(3): 2964-2973

[35]

YuanT, JiY. A Hierarchical bayesian degradation model for heterogeneous data [J]. IEEE Transactions on Reliability, 2015, 64(1): 63-70

[36]

PanZ-q, BalakrishnanN, SunQuan. Bivariate constant-stress accelerated degradation model and inference [J]. Communications in Statistics-Simulation and Computation, 2010, 40(2): 247-257

[37]

SpiegelhalterD J, BestN G, CarlinB P. Bayesian measures of model complexity and fit [J]. Journal of the Royal Statistical Society, 2002, 64(4): 583-639

[38]

SpiegelhalterD J, BestN G, CarlinB P. The deviance information criterion: 12 years on [J]. Journal of the Royal Statistical Society: Series B, 2014, 76(3): 485-493

[39]

HaoH-b, SuChun. A Bayesian framework for reliability assessment via wiener process and MCMC [J]. Mathematical Problems in Engineering, 20142014

[40]

SantosC A, AchcarJ A. A Bayesian analysis in the presence of covariates for multivariate survival data: An example of application [J]. Revista Colombinana De Estadistica, 2011, 34(1): 111-131

[41]

TsaiC C, TsengS T, BalakrishnanN. Mis-specification analyses of gamma and Wiener degradation processes [J]. Journal of Statistical Planning and Inference, 2011, 141(12): 3725-3735

[42]

MasseyJ R, FrankJ. The Kolmogorov-Smirnov test for goodness of fit [J]. Journal of the American Statistical Association, 1951, 46(253): 68-78

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