Simple Deep Neural Network Model for Accurate State of Health Estimation and Degradation Trajectory Prediction of Li-Ion Capacitor and Supercapacitor

The accurate and rapid estimation of the state of health (SOH) for batteries and capacitors is a crucial determinant of performance prognostics and health management. However, data-driven methods often require exhaustive data curation under random SOH and state of charge (SOC) conditions, leading to increased computational demands on battery management systems (BMS). In this study, we introduce a deep neural network (DNN) model that utilizes a Gaussian probability distribution (GPD) as the loss function to probabilistically estimate the SOH of both lithium-ion capacitors (LICs) and supercapacitors (SCs). By leveraging data from a single charge–discharge cycle, our model accurately predicts the degradation trajectories of LICs and SCs under various operational conditions, including different time intervals and charging protocols. The proposed DNN achieves SOH estimations with a root-mean-squared error (RMSE) of ≤1% and degradation trajectory predictions with an RMSE of ≤7%, reflecting high accuracy and robustness. This approach highlights exploiting limited data for accurate SOH estimation and degradation trajectory prediction by deep learning models, which will enhance the development of universal battery management algorithms for next-generation energy storage devices.

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Publication Details

Journal
Energy & Fuels
Published
2026-03-27
DOI
https://doi.org/10.1021/acs.energyfuels.5c06154
Primary Topic
Advanced Battery Technologies Research
Type
article
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article

Simple Deep Neural Network Model for Accurate State of Health Estimation and Degradation Trajectory Prediction of Li-Ion Capacitor and Supercapacitor

Zheng Qu, Chunyu Du, Taolin Lu, Binghan Cui et al.
Energy & Fuels
Advanced Battery Technologies Research
article

Simple Deep Neural Network Model for Accurate State of Health Estimation and Degradation Trajectory Prediction of Li-Ion Capacitor and Supercapacitor

Zheng Qu, Chunyu Du, Taolin Lu, Binghan Cui, Fanqi Min, Hao Wang, Jingying Xie, Bojun Sun, Ying Luo, Quansheng Zhang, Yunzhi Gao, Wei Zheng
article en

Abstract

The accurate and rapid estimation of the state of health (SOH) for batteries and capacitors is a crucial determinant of performance prognostics and health management. However, data-driven methods often require exhaustive data curation under random SOH and state of charge (SOC) conditions, leading to increased computational demands on battery management systems (BMS). In this study, we introduce a deep neural network (DNN) model that utilizes a Gaussian probability distribution (GPD) as the loss function to probabilistically estimate the SOH of both lithium-ion capacitors (LICs) and supercapacitors (SCs). By leveraging data from a single charge–discharge cycle, our model accurately predicts the degradation trajectories of LICs and SCs under various operational conditions, including different time intervals and charging protocols. The proposed DNN achieves SOH estimations with a root-mean-squared error (RMSE) of ≤1% and degradation trajectory predictions with an RMSE of ≤7%, reflecting high accuracy and robustness. This approach highlights exploiting limited data for accurate SOH estimation and degradation trajectory prediction by deep learning models, which will enhance the development of universal battery management algorithms for next-generation energy storage devices.

Energy & Fuels
Harbin Institute of Technology (CN), Division of Materials Science and Engineering (AU), Shaanxi Coal Chemical Industry Technology Research Institute (CN), Central Laboratory of Solar Energy and New Energy Sources (BG), State Key Laboratory of Chemical Engineering (CN), Xiamen Tobacco Industry (China) (CN), Shanghai Institute of Technology (CN), Xi'an Jiaotong University (CN), Ministry of Industry and Information Technology (CN), Saft (France) (FR)
Affordable and clean energy
Openalex Percentile: Top 6%
Advanced Battery Technologies Research
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