A closed-loop state of charge estimation of lithium-ion batteries by integrating deep learning and adaptive Kalman filter

Under various operating environments and temperature conditions, accurately estimating the state of charge (SOC) of batteries is a crucial prerequisite for an efficient battery management system. However, the SOC of lithium-ion batteries exhibits complex nonlinear and dynamic characteristics influenced by multiple external factors. Furthermore, the measurement noise and system uncertainties encountered in real-world applications will degrade the accuracy of SOC estimation. Therefore, this study proposes a closed-loop SOC estimation method that integrates deep learning with filters. The method first constructs a hybrid deep learning model to obtain a noisy SOC observation. Specifically, a temporal convolutional network (TCN) is used to extract time-domain features from the raw data, and a frequency-domain channel attention mechanism (FECAM) is embedded into the TCN architecture to capture key features across frequency-domain channel dimensions. Subsequently, to further improve estimation accuracy and outlier resistance, a closed-loop SOC estimation is achieved using a noise-adaptive Kalman filter (AKF) on the noisy SOC observation and prediction. Finally, the experimental results demonstrate that the proposed TCN-FECAM-AKF method achieves higher estimation accuracy under different temperatures and the Federal Urban Driving Schedule driving cycle, with a root mean square error and maximum error of less than 2.40% and 5.93%, respectively.

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Publication Details

Journal
Journal of Energy Storage
Published
2026-09-19
DOI
https://doi.org/10.1016/j.est.2026.124616
Primary Topic
Advanced Battery Technologies Research
Type
article
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A closed-loop state of charge estimation of lithium-ion batteries by integrating deep learning and adaptive Kalman filter

Hao Tu, Fanyong Cheng, Miao Li, Yeting Wen
Journal of Energy Storage
Advanced Battery Technologies Research
article

A closed-loop state of charge estimation of lithium-ion batteries by integrating deep learning and adaptive Kalman filter

Hao Tu, Fanyong Cheng, Miao Li, Yeting Wen
article en

Abstract

Under various operating environments and temperature conditions, accurately estimating the state of charge (SOC) of batteries is a crucial prerequisite for an efficient battery management system. However, the SOC of lithium-ion batteries exhibits complex nonlinear and dynamic characteristics influenced by multiple external factors. Furthermore, the measurement noise and system uncertainties encountered in real-world applications will degrade the accuracy of SOC estimation. Therefore, this study proposes a closed-loop SOC estimation method that integrates deep learning with filters. The method first constructs a hybrid deep learning model to obtain a noisy SOC observation. Specifically, a temporal convolutional network (TCN) is used to extract time-domain features from the raw data, and a frequency-domain channel attention mechanism (FECAM) is embedded into the TCN architecture to capture key features across frequency-domain channel dimensions. Subsequently, to further improve estimation accuracy and outlier resistance, a closed-loop SOC estimation is achieved using a noise-adaptive Kalman filter (AKF) on the noisy SOC observation and prediction. Finally, the experimental results demonstrate that the proposed TCN-FECAM-AKF method achieves higher estimation accuracy under different temperatures and the Federal Urban Driving Schedule driving cycle, with a root mean square error and maximum error of less than 2.40% and 5.93%, respectively.

Journal of Energy StorageVol. 182
Anhui Polytechnic University (CN), Xiamen University of Technology (CN)
Affordable and clean energy
Openalex Percentile: Top 19%
Advanced Battery Technologies Research
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A closed-loop state of charge estimation of lithium-ion batteries by integrating deep learning and adaptive Kalman filter — Hao Tu, Fanyong Cheng, et al. · Journal of Energy Storage (2026) | TGRS Research Map | TGRS