Long-Range Dependent Stochastic Prediction Model for Lithium-Ion Battery RUL Prediction Using CC-CV Dataset

Lithium-ion battery degradation does not follow the Markov property. Its current degradation state is influenced by a wealth of historical observations, which manifests long-range dependence (LRD). In this paper, capacity is taken as the characteristic parameter to quantify the degradation behaviour of lithium-ion batteries. A prediction model based on the fractional Poisson process (fPp) with long-range correlation is proposed. The constant-current constant-voltage dataset from the CALCE repository is used as the test set, and the Monte Carlo simulation algorithm is implemented to realize lifetime prediction. The effectiveness of the proposed method is verified by comparative experiments against the fractional Brownian motion (fBm), fractional levy stable motion (fLsm), Wiener, and LSTM models, where the root-mean-square error (RMSE), mean absolute error (MAE), coefficient of determination (R2), and mean relative error (MRE) are employed as evaluation metrics.

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Publication Details

Journal
Fractal and Fractional
Published
2026-09-24
DOI
https://doi.org/10.3390/fractalfract10100674
Primary Topic
Advanced Battery Technologies Research
Type
article
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article

Long-Range Dependent Stochastic Prediction Model for Lithium-Ion Battery RUL Prediction Using CC-CV Dataset

Wanqing Song, Piercarlo Cattani, Dongdong Chen, Qinglan Zheng et al.
Fractal and Fractional
Advanced Battery Technologies Research
article

Long-Range Dependent Stochastic Prediction Model for Lithium-Ion Battery RUL Prediction Using CC-CV Dataset

Wanqing Song, Piercarlo Cattani, Dongdong Chen, Qinglan Zheng, Shoukun Chen
article en

Abstract

Lithium-ion battery degradation does not follow the Markov property. Its current degradation state is influenced by a wealth of historical observations, which manifests long-range dependence (LRD). In this paper, capacity is taken as the characteristic parameter to quantify the degradation behaviour of lithium-ion batteries. A prediction model based on the fractional Poisson process (fPp) with long-range correlation is proposed. The constant-current constant-voltage dataset from the CALCE repository is used as the test set, and the Monte Carlo simulation algorithm is implemented to realize lifetime prediction. The effectiveness of the proposed method is verified by comparative experiments against the fractional Brownian motion (fBm), fractional levy stable motion (fLsm), Wiener, and LSTM models, where the root-mean-square error (RMSE), mean absolute error (MAE), coefficient of determination (R2), and mean relative error (MRE) are employed as evaluation metrics.

Fractal and FractionalVol. 10(10)
Minnan University of Science and Technology (CN), Sapienza University of Rome (IT)
Openalex Percentile: Top 20%
Advanced Battery Technologies Research
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Long-Range Dependent Stochastic Prediction Model for Lithium-Ion Battery RUL Prediction Using CC-CV Dataset — Wanqing Song, Piercarlo Cattani, et al. · Fractal and Fractional (2026) | TGRS Research Map | TGRS