Abstract
Rechargeable batteries are widely used in many electronic products and systems to provide power sources. Because of the influence of charge/discharge cycling and some significant battery degradation factors, such as discharge rate, temperature, depth of charge, etc., on battery health condition, battery degrades over time. In this chapter, several state space models based prognostic methods are proposed to predict battery remaining useful life. Firstly, a particle filtering based state space model for battery remaining useful life prediction at a constant discharge rate is introduced. Secondly, to improve particle filtering and its application to battery prognostics, spherical cubature Kalman filtering is introduced to provide an importance function for the use of particle filtering at a constant discharge rate. Thirdly, to extend battery prognostics at a constant discharge rate to battery prognostics at different discharge rates, a more general battery degradation model is presented. Based on the developed model, a battery prognostic method at different discharge rates is designed. Some discussions are made at last.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Tsui KL, Chen N, Zhou Q et al (2015) Prognostics and health management: a review on data driven approaches. Math Probl Eng 2015:1
Zhang J, Lee J (2011) A review on prognostics and health monitoring of Li-ion battery. J Power Sources 196:6007–6014
Pecht M (2008) Prognostics and health management of electronics. Wiley-Interscience, London
Si X-S, Wang W, Hu C-H et al (2011) Remaining useful life estimation – a review on the statistical data driven approaches. Eur J Oper Res 213:1–14
Farmann A, Waag W, Marongiu A et al (2015) Critical review of on-board capacity estimation techniques for lithium-ion batteries in electric and hybrid electric vehicles. J Power Sources 281:114–130
Xing Y, Ma EWM, Tsui KL et al (2011) Battery management systems in electric and hybrid vehicles. Energies 4:1840–1857
Ng SSY, Xing Y, Tsui KL (2014) A naive Bayes model for robust remaining useful life prediction of lithium-ion battery. Appl Energy 118:114–123
Rezvanizaniani SM, Liu Z, Chen Y et al (2014) Review and recent advances in battery health monitoring and prognostics technologies for electric vehicle (EV) safety and mobility. J Power Sources 256:110–124
Burgess WL (2009) Valve regulated lead acid battery float service life estimation using a Kalman filter. J Power Sources 191:16–21
Meinhold RJ, Singpurwalla ND (1983) Understanding the Kalman filter. Am Stat 37:123–127
Saha B, Goebel K, Poll S et al (2009) Prognostics methods for battery health monitoring using a Bayesian framework. IEEE T Instrum Meas 58:291–296
Saha B, Goebel K, Christophersen J (2009) Comparison of prognostic algorithms for estimating remaining useful life of batteries. T I Meas Control 31:293–308
Singpurwalla ND, Polson NG, Soyer R From signal processing to particle filtering (An Incredible Journey).
Wang D, Miao Q, Zhou Q et al (2015) An intelligent prognostic system for gear performance degradation assessment and remaining useful life estimation. J Vib Acoust 137:021004–021004
Wang D, Miao Q (2015) Some Improvements on a general particle filter based Bayesian approach for extracting bearing fault features. J Vib Acoust 137:041016
He W, Williard N, Osterman M et al (2011) Prognostics of lithium-ion batteries based on Dempster–Shafer theory and the Bayesian Monte Carlo method. J Power Sources 196:10314–10321
Wang D, Miao Q, Pecht M (2013) Prognostics of lithium-ion batteries based on relevance vectors and a conditional three-parameter capacity degradation model. J Power Sources 239:253–264
Xing Y, Ma EW, Tsui K-L et al (2013) An ensemble model for predicting the remaining useful performance of lithium-ion batteries. Microelectron Reliab 53:811–820
Xian W, Long B, Li M et al (2014) Prognostics of lithium-ion batteries based on the Verhulst model, particle swarm optimization and particle filter. IEEE T. Instrum. Meas. 63:2–17
Li F, Xu J (2015) A new prognostics method for state of health estimation of lithium-ion batteries based on a mixture of Gaussian process models and particle filter. Microelectron Reliab 55:1035–1045
Dong H, Jin X, Lou Y et al (2014) Lithium-ion battery state of health monitoring and remaining useful life prediction based on support vector regression-particle filter. J Power Sources 271:114–123
Liu D, Luo Y, Liu J et al (2014) Lithium-ion battery remaining useful life estimation based on fusion nonlinear degradation AR model and RPF algorithm. Neural Comput Appl 25:557–572
Hu Y, Baraldi P, Di Maio F et al (2015) A particle filtering and kernel smoothing-based approach for new design component prognostics. Reliab Eng Syst Safe 134:19–31
Walker E, Rayman S, White RE (2015) Comparison of a particle filter and other state estimation methods for prognostics of lithium-ion batteries. J Power Sources 287:1–12
Arulampalam MS, Maskell S, Gordon N et al (2002) A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking. IEEE T Signal Proces 50:174–188
Miao Q, Xie L, Cui H et al (2013) Remaining useful life prediction of lithium-ion battery with unscented particle filter technique. Microelectron Reliab 53:805–810
Park JI, Baek SH, Jeong MK et al (2009) Dual features functional support vector machines for fault detection of rechargeable batteries. Man, and Cybernetics, Part C: Applications and Reviews, IEEE Transactions on Systems 39:480–485
Särkkä S (2013) Bayesian filtering and smoothing. Cambridge University Press, Cambridge
Saha B, Goebel K (2009) Modeling Li-ion battery capacity depletion in a particle filtering framework. In: Proceedings of the annual conference of the prognostics and health management society, pp 1–10
Wang D, Yang F, Tsui KL et al (2016) Remaining useful life prediction of lithium-ion batteries based on spherical cubature particle filter. IEEE T. Instrum. Meas. 65:1282–1291
Wang D, Yang F, Zhao Y et al (2016) Prognostics of lithium-ion batteries at different discharge current rates. Submitted
Kitagawa G (1996) Monte Carlo filter and smoother for non-Gaussian nonlinear state space models. J Comput Graph Stat 5:1–25
Acknowledgement
This work was supported in part by General Research Fund of City University of Hong Kong under Project 11216014, in part by the National Natural Science Foundation of China under Project 11471275 and Project 51505307), and in part by the Research Grants Council Theme-Based Research Scheme under Project T32-101/15-R. The authors would like to thank the reviewer for his/her valuable comments on this book chapter.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Wang, D., Tsui, KL. (2017). State Space Models Based Prognostic Methods for Remaining Useful Life Prediction of Rechargeable Batteries. In: Chen, DG., Lio, Y., Ng, H., Tsai, TR. (eds) Statistical Modeling for Degradation Data. ICSA Book Series in Statistics. Springer, Singapore. https://doi.org/10.1007/978-981-10-5194-4_16
Download citation
DOI: https://doi.org/10.1007/978-981-10-5194-4_16
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-5193-7
Online ISBN: 978-981-10-5194-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)