Remaining Useful Life Prediction of Lithium-Ion Batteries Based on the Wiener Process with Measurement Error

Remaining useful life (RUL) prediction is central to the prognostics and health management (PHM) of lithium-ion batteries. This paper proposes a novel RUL prediction method for lithium-ion batteries based on the Wiener process with measurement error (WPME). First, we use the truncated normal distrib...

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Main Authors: Shengjin Tang, Chuanqiang Yu, Xue Wang, Xiaosong Guo, Xiaosheng Si
Format: Article
Language:English
Published: MDPI AG 2014-01-01
Series:Energies
Subjects:
Online Access:http://www.mdpi.com/1996-1073/7/2/520
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author Shengjin Tang
Chuanqiang Yu
Xue Wang
Xiaosong Guo
Xiaosheng Si
author_facet Shengjin Tang
Chuanqiang Yu
Xue Wang
Xiaosong Guo
Xiaosheng Si
author_sort Shengjin Tang
collection DOAJ
description Remaining useful life (RUL) prediction is central to the prognostics and health management (PHM) of lithium-ion batteries. This paper proposes a novel RUL prediction method for lithium-ion batteries based on the Wiener process with measurement error (WPME). First, we use the truncated normal distribution (TND) based modeling approach for the estimated degradation state and obtain an exact and closed-form RUL distribution by simultaneously considering the measurement uncertainty and the distribution of the estimated drift parameter. Then, the traditional maximum likelihood estimation (MLE) method for population based parameters estimation is remedied to improve the estimation efficiency. Additionally, we analyze the relationship between the classic MLE method and the combination of the Bayesian updating algorithm and the expectation maximization algorithm for the real time RUL prediction. Interestingly, it is found that the result of the combination algorithm is equal to the classic MLE method. Inspired by this observation, a heuristic algorithm for the real time parameters updating is presented. Finally, numerical examples and a case study of lithium-ion batteries are provided to substantiate the superiority of the proposed RUL prediction method.
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spelling doaj.art-9543a432b6e9493f81c74a68b144ff782022-12-22T02:55:20ZengMDPI AGEnergies1996-10732014-01-017252054710.3390/en7020520en7020520Remaining Useful Life Prediction of Lithium-Ion Batteries Based on the Wiener Process with Measurement ErrorShengjin Tang0Chuanqiang Yu1Xue Wang2Xiaosong Guo3Xiaosheng Si4High-Tech Institute of Xi'an, Xi'an, Shaanxi 710025, ChinaHigh-Tech Institute of Xi'an, Xi'an, Shaanxi 710025, ChinaDepartment of Precision Instrument, Tsinghua University, Beijing 100084, ChinaHigh-Tech Institute of Xi'an, Xi'an, Shaanxi 710025, ChinaHigh-Tech Institute of Xi'an, Xi'an, Shaanxi 710025, ChinaRemaining useful life (RUL) prediction is central to the prognostics and health management (PHM) of lithium-ion batteries. This paper proposes a novel RUL prediction method for lithium-ion batteries based on the Wiener process with measurement error (WPME). First, we use the truncated normal distribution (TND) based modeling approach for the estimated degradation state and obtain an exact and closed-form RUL distribution by simultaneously considering the measurement uncertainty and the distribution of the estimated drift parameter. Then, the traditional maximum likelihood estimation (MLE) method for population based parameters estimation is remedied to improve the estimation efficiency. Additionally, we analyze the relationship between the classic MLE method and the combination of the Bayesian updating algorithm and the expectation maximization algorithm for the real time RUL prediction. Interestingly, it is found that the result of the combination algorithm is equal to the classic MLE method. Inspired by this observation, a heuristic algorithm for the real time parameters updating is presented. Finally, numerical examples and a case study of lithium-ion batteries are provided to substantiate the superiority of the proposed RUL prediction method.http://www.mdpi.com/1996-1073/7/2/520lithium-ion batteriesremaining useful lifethe Wiener processmeasurement errorpredictiontruncated normal distributionmaximum likelihood estimationBayesianexpectation maximization algorithm
spellingShingle Shengjin Tang
Chuanqiang Yu
Xue Wang
Xiaosong Guo
Xiaosheng Si
Remaining Useful Life Prediction of Lithium-Ion Batteries Based on the Wiener Process with Measurement Error
Energies
lithium-ion batteries
remaining useful life
the Wiener process
measurement error
prediction
truncated normal distribution
maximum likelihood estimation
Bayesian
expectation maximization algorithm
title Remaining Useful Life Prediction of Lithium-Ion Batteries Based on the Wiener Process with Measurement Error
title_full Remaining Useful Life Prediction of Lithium-Ion Batteries Based on the Wiener Process with Measurement Error
title_fullStr Remaining Useful Life Prediction of Lithium-Ion Batteries Based on the Wiener Process with Measurement Error
title_full_unstemmed Remaining Useful Life Prediction of Lithium-Ion Batteries Based on the Wiener Process with Measurement Error
title_short Remaining Useful Life Prediction of Lithium-Ion Batteries Based on the Wiener Process with Measurement Error
title_sort remaining useful life prediction of lithium ion batteries based on the wiener process with measurement error
topic lithium-ion batteries
remaining useful life
the Wiener process
measurement error
prediction
truncated normal distribution
maximum likelihood estimation
Bayesian
expectation maximization algorithm
url http://www.mdpi.com/1996-1073/7/2/520
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