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Article

State of Charge and State of Energy Estimation for Semi-Solid Lithium-Ion Batteries Based on Multi-Scale Temporal Convolutional Network

1
School of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin 150080, China
2
Engineering Research Center of Automotive Electronics Drive Control and System Integration, Ministry of Education, Harbin University of Science and Technology, Harbin 150080, China
3
College of Artificial Intelligence, Nankai University, Tianjin 300110, China
*
Author to whom correspondence should be addressed.
Batteries 2026, 12(10), 428; https://doi.org/10.3390/batteries12100428
Submission received: 16 September 2026 / Revised: 9 October 2026 / Accepted: 13 October 2026 / Published: 15 October 2026

Abstract

Against the backdrop of the energy crisis and environmental pollution, semi-solid lithium-ion batteries have been widely applied in energy storage and electric vehicles. Accurate joint estimation of state of charge (SOC) and state of energy (SOE) is key for the safe and efficient operation of battery management systems (BMSs). To solve the problems of existing methods, such as open-loop error accumulation, strong dependence on mechanistic models, insufficient multi-scale temporal feature extraction and poor adaptability of traditional attention mechanisms, this paper proposes a hybrid deep network model named CNN-PMSTCN-BASE-GRU. The model uses a one-dimensional convolutional neural network (1D CNN) to extract preliminary features, and a Parallel Multi-Scale Temporal Convolutional Network (PMSTCN) to capture both short-term transient characteristics and long-term evolution rules of battery data. The Branch-Aware-Squeeze-and-Excitation (BASE) attention mechanism is introduced to realize adaptive weighting of multi-branch features, and dual-path gated recurrent unit (GRU) is adopted for collaborative SOC and SOE estimation. An unscented Kalman filter is further utilized to suppress noise and smooth the output. The experiment was conducted under different temperatures and driving cycle conditions. The results show that the proposed model reduces the average mean absolute error of SOC estimation by 30.32% compared to the baseline model under variable temperature conditions, providing an effective solution for accurate multi-state estimation of lithium-ion batteries. Cross-material validation was carried out based on the publicly available INR 18650-20R Battery dataset from the University of Maryland, and it demonstrated excellent cross-material performance.
Keywords: stateof charge; state of energy; battery energy storage system; semi-solid state battery; Parallel Multi-Scale Temporal Convolutional Network; Branch-Aware-Squeeze-and-Excitation stateof charge; state of energy; battery energy storage system; semi-solid state battery; Parallel Multi-Scale Temporal Convolutional Network; Branch-Aware-Squeeze-and-Excitation

Share and Cite

MDPI and ACS Style

Wang, L.; Yang, G.; Zhao, N.; Wang, Z.; Li, R.; Zhang, X. State of Charge and State of Energy Estimation for Semi-Solid Lithium-Ion Batteries Based on Multi-Scale Temporal Convolutional Network. Batteries 2026, 12, 428. https://doi.org/10.3390/batteries12100428

AMA Style

Wang L, Yang G, Zhao N, Wang Z, Li R, Zhang X. State of Charge and State of Energy Estimation for Semi-Solid Lithium-Ion Batteries Based on Multi-Scale Temporal Convolutional Network. Batteries. 2026; 12(10):428. https://doi.org/10.3390/batteries12100428

Chicago/Turabian Style

Wang, Long, Guangyi Yang, Nianyong Zhao, Zhipeng Wang, Ran Li, and Xiaoyu Zhang. 2026. "State of Charge and State of Energy Estimation for Semi-Solid Lithium-Ion Batteries Based on Multi-Scale Temporal Convolutional Network" Batteries 12, no. 10: 428. https://doi.org/10.3390/batteries12100428

APA Style

Wang, L., Yang, G., Zhao, N., Wang, Z., Li, R., & Zhang, X. (2026). State of Charge and State of Energy Estimation for Semi-Solid Lithium-Ion Batteries Based on Multi-Scale Temporal Convolutional Network. Batteries, 12(10), 428. https://doi.org/10.3390/batteries12100428

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