Lithium-ion battery temperature estimation method based on thermoelectric combined model and deep learning

ZHANG Youbing; BAO Junting; PAN Hongwu; MAO Yuan; ZHANG Weijie; ZHANG Zhiming

doi:10.19799/j.cnki.2095-4239.2025.1109

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Lithium-ion battery temperature estimation method based on thermoelectric combined model and deep learning

Energy Storage Test\: Methods and Evaluation | 更新时间：2026-07-01

- Lithium-ion battery temperature estimation method based on thermoelectric combined model and deep learning
- Energy Storage Science and Technology Vol. 15, Issue 4, Pages: 1363-1374(2026)
- 作者机构：
  
  1.浙江工业大学信息工程学院，浙江杭州 310014
  2.国网湖州供电公司发展部，浙江湖州 313000
  3.瑞浦兰钧能源股份有限公司，浙江温州 325058
- 作者简介：
- 基金信息：
- DOI：10.19799/j.cnki.2095-4239.2025.1109
  CLC： TM 912
- Received：11 December 2025，
  
  Revised：2026-01-01，
  
  Published：28 April 2026
- 稿件说明：
移动端阅览
张有兵, 鲍俊挺, 潘红武, 等. 基于热电联合模型和深度学习的锂离子电池温度估计方法[J]. 储能科学与技术, 2026, 15(4): 1363-1374.

ZHANG Youbing, BAO Junting, PAN Hongwu, et al. Lithium-ion battery temperature estimation method based on thermoelectric combined model and deep learning[J]. Energy Storage Science and Technology, 2026, 15(4): 1363-1374.
张有兵, 鲍俊挺, 潘红武, 等. 基于热电联合模型和深度学习的锂离子电池温度估计方法[J]. 储能科学与技术, 2026, 15(4): 1363-1374. DOI： 10.19799/j.cnki.2095-4239.2025.1109.

ZHANG Youbing, BAO Junting, PAN Hongwu, et al. Lithium-ion battery temperature estimation method based on thermoelectric combined model and deep learning[J]. Energy Storage Science and Technology, 2026, 15(4): 1363-1374. DOI： 10.19799/j.cnki.2095-4239.2025.1109.

摘要

锂离子电池温度的准确估计作为电池管理系统(battery management system，BMS)的核心技术之一，对电动汽车的安全运行具有重要意义。为此，本研究提出一种结合模型与数据驱动的混合温度预测方法。首先，构建由一阶RC等效电路模型与一阶热模型组成的热电联合模型，并通过自适应遗忘因子递推最小二乘法(adaptive forgetting factor recursive least squares，VFFRLS)进行参数辨识；而后，为克服热等效电路模型在电池空间和材料上的简化导致对变化率较高温度区间的表征受限的问题，设计一种自适应权重物理信息神经网络(adaptive weighted physics-informed neural network，AWPINN)，将联合模型辨识结果作为可学习参数的物理约束，融合了数据驱动能力与模型物理机制。最后，通过VFFRLS与AWPINN模型联合估计得到最终结果，并通过与其他数据驱动模型的对比，证明所提出的温度预测方法的优越性。实验结果表明，在20℃环境下，本方法的平均绝对误差为0.242，均方根误差为0.4069，决定系数达0.9693，性能优于常见模型。在0~40℃范围内，本模型亦保持良好的预测能力，验证了在不同温度条件下的适应性与实用性。

Abstract

Accurate temperature prediction methods for lithium-ion batteries are crucial for timely detection and mitigation of thermal runaway

ensuring battery safety. This study proposes a hybrid temperature-prediction framework that integrates physics-based (model-driven) and neural network (NN; data-driven) methodologies. First

the framework establishes a thermoelectric coupled model integrating a first-order resistor-capacitor electrical model with a first-order thermal model

followed by parameter identification via adaptive forgetting factor recursive least squares (VFFRLS). To address the diminished precision of the equivalent thermal model in regions of rapid temperature changes due to spatial and material simplifications

an adaptiveweighted physics-informed NN (AWPINN) is introduced. This framework integrates data-driven flexibility with model physics by incorporating the output of the thermoelectric coupled model as a learnable parameter constraint. Experimental validation at 20℃ demonstrates that the proposed AWPINN method achieves a mean absolute error of 0.242

a root-mean-square error of 0.4069

and a coefficient of determination of 0.9693

outperforming conventional benchmarks. Further

it maintains excellent predictive capability across a broad operational range of 0—40℃

validating the adaptability and practicality of the model under varying temperature conditions.

关键词

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