Lithium-Ion Battery Remaining Useful Life Prediction With Box–Cox Transformation and Monte Carlo Simulation

The current lithium-ion battery remaining useful life (RUL) prediction techniques are mainly developed dependent on offline training data. The loaded current, temperature, and state of charge of lithium-ion batteries used for electric vehicles (EVs) change dramatically under the working conditions. Therefore, it is difficult to design acceleration aging tests of lithium-ion batteries under similar working conditions as those for EVs and to collect effective offline training data. To address this problem, this paper developed an RUL prediction method based on the Box–Cox transformation (BCT) and Monte Carlo (MC) simulation. This method can be implemented independent of offline training data. In the method, the BCT was used to transform the available capacity data and to construct a linear model between the transformed capacities and cycles. The constructed linear model using the BCT was extrapolated to predict the battery RUL, and the RUL prediction uncertainties were generated using the MC simulation. Experimental results showed that accurate and precise RULs were predicted with errors and standard deviations within, respectively, [-20, 10] cycles and [1.8, 7] cycles. If some offline training data are available, the method can reduce the required online training data and, thus, the acceleration aging test time of lithium-ion batteries. Experimental results showed that the acceleration time of the tested cells can be reduced by 70%–85% based on the developed method, which saved one to three months’ acceleration test time compared to the particle filter method.

[1]  Pol D. Spanos,et al.  Neural network based Monte Carlo simulation of random processes , 2005 .

[2]  Jammalamadaka Introduction to Linear Regression Analysis (3rd ed.) , 2003 .

[3]  Matthieu Dubarry,et al.  Evaluation of commercial lithium-ion cells based on composite positive electrode for plug-in hybrid electric vehicle applications. Part I: Initial characterizations , 2011 .

[4]  Hongwen He,et al.  A Double-Scale, Particle-Filtering, Energy State Prediction Algorithm for Lithium-Ion Batteries , 2018, IEEE Transactions on Industrial Electronics.

[5]  Kai Goebel,et al.  A verification methodology for prognostic algorithms , 2010, 2010 IEEE AUTOTESTCON.

[6]  Taejung Yeo,et al.  A novel multistage Support Vector Machine based approach for Li ion battery remaining useful life estimation , 2015 .

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

[8]  Yu Peng,et al.  A Health Indicator Extraction and Optimization Framework for Lithium-Ion Battery Degradation Modeling and Prognostics , 2015, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[9]  Hongwen He,et al.  Lithium-Ion Battery Pack State of Charge and State of Energy Estimation Algorithms Using a Hardware-in-the-Loop Validation , 2017, IEEE Transactions on Power Electronics.

[10]  Xiaoning Jin,et al.  Lithium-ion battery state of health monitoring and remaining useful life prediction based on support vector regression-particle filter , 2014 .

[11]  J. Osborne Improving your data transformations: Applying the Box-Cox transformation , 2010 .

[12]  Michael Buchholz,et al.  Health diagnosis and remaining useful life prognostics of lithium-ion batteries using data-driven methods , 2013 .

[13]  Bhaskar Saha,et al.  An Adaptive Recurrent Neural Network for Remaining Useful Life Prediction of Lithium-ion Batteries , 2010 .

[14]  Wei Liang,et al.  Remaining useful life prediction of lithium-ion battery with unscented particle filter technique , 2013, Microelectron. Reliab..

[15]  Carmen Lucia Tancredo Borges,et al.  A Model to Represent Correlated Time Series in Reliability Evaluation by Non-Sequential Monte Carlo Simulation , 2017, IEEE Transactions on Power Systems.

[16]  Yang Gao,et al.  Lithium-ion battery aging mechanisms and life model under different charging stresses , 2017 .

[17]  Kwok-Leung Tsui,et al.  An ensemble model for predicting the remaining useful performance of lithium-ion batteries , 2013, Microelectron. Reliab..

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

[19]  Junwei Han,et al.  Particle Learning Framework for Estimating the Remaining Useful Life of Lithium-Ion Batteries , 2017, IEEE Transactions on Instrumentation and Measurement.

[20]  Elizabeth A. Peck,et al.  Introduction to Linear Regression Analysis , 2001 .

[21]  Chen Yang,et al.  Data-driven hybrid remaining useful life estimation approach for spacecraft lithium-ion battery , 2017, Microelectron. Reliab..

[22]  Huajing Fang,et al.  An integrated unscented kalman filter and relevance vector regression approach for lithium-ion battery remaining useful life and short-term capacity prediction , 2015, Reliab. Eng. Syst. Saf..

[23]  Xiaohong Su,et al.  Interacting multiple model particle filter for prognostics of lithium-ion batteries , 2017, Microelectron. Reliab..

[24]  Chong Chen,et al.  State of Charge Estimation of Battery Energy Storage Systems Based on Adaptive Unscented Kalman Filter With a Noise Statistics Estimator , 2017, IEEE Access.

[25]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[26]  Hongwen He,et al.  Critical Review on the Battery State of Charge Estimation Methods for Electric Vehicles , 2018, IEEE Access.

[27]  Jose M. Yusta,et al.  Stochastic-heuristic methodology for the optimisation of components and control variables of PV-wind-diesel-battery stand-alone systems , 2016 .

[28]  M. Safari,et al.  Aging of a Commercial Graphite/LiFePO4 Cell , 2011 .