• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2022, Vol. 58 ›› Issue (22): 304-320.doi: 10.3901/JME.2022.22.304

• 运载工程 • 上一篇    下一篇

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锂离子电池电化学-热耦合模型对比研究

徐乐1,2, 邓忠伟1,2, 谢翌1,2, 胡晓松1,2   

  1. 1. 重庆大学机械传动国家重点实验室 重庆 400044;
    2. 重庆大学机械与运载工程学院 重庆 400044
  • 收稿日期:2022-03-30 修回日期:2022-06-09 出版日期:2022-11-20 发布日期:2023-02-07
  • 通讯作者: 谢翌(通信作者),男,1983年出生,博士,副教授,博士研究生导师。主要研究方向为动力电池建模及管理、电池系统热管理技术。E-mail:claudexie@cqu.edu.cn
  • 作者简介:徐乐,男,1991年出生,博士研究生。主要研究方向为锂离子电池多物理场耦合建模、状态估计及寿命预测。E-mail:lexu@cqu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(51875054,U20A20310,52111530194)

Comparative Study of Electrochemical-thermal Models for Li-ion Batteries

XU Le1,2, DENG Zhong-wei1,2, XIE Yi1,2, HU Xiao-song1,2   

  1. 1. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044;
    2. College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044
  • Received:2022-03-30 Revised:2022-06-09 Online:2022-11-20 Published:2023-02-07

摘要: 电池模型对电池系统的健康管理和故障诊断至关重要。随着电池技术的发展,电化学模型正成为研究热点。电化学模型由偏微分方程构成,计算复杂度高。模型数学重构和模型结构简化是两类降低复杂度的方法。不同复杂度模型的对比研究可为模型工程应用选择提供指导,然而现有研究多基于仿真数据且忽略了温度对电池电化学行为的影响。针对上述不足,通过理论分析、数值仿真和试验测试开展了电化学-热耦合模型的对比研究工作。基于理论与仿真分析,明确不同模型的误差来源;通过敏感性分析,提升了模型参数的辨识精度和效率;通过耦合热模型,考虑温度对电化学反应的影响,并在-10℃至45℃区间开展试验验证。结果表明,反应电流的均匀分布假设是简化模型的主要误差来源。该假设在低倍率条件下成立,在大倍率下将造成较大误差;耦合热模型来引入温度修正可有效提升电化学模型在不同温度下的精度;非简化的电化学-热耦合模型在不同温度和工况下均能保证高精度,端电压均方根误差小于25mV。简化的电化学-热耦合模型在小倍率工况下精度较好,但在低荷电状态和大倍率工况下将出现明显偏差,其最大端电压方均根误差超过50mV。

关键词: 电池管理系统, 锂离子电池, 电化学-热耦合模型, 参数辨识

Abstract: The accuracy of battery models is of vital importance for the health management and fault diagnosis of the battery system.With the development of battery technology, electrochemical models have become a research hotspot in recent years. The electrochemical model consists of several partial differential equations, so the model complexity is high. To reduce the complexity,the reformulated electrochemical model and the simplified electrochemical model are proposed. A comparative study of different electrochemical models can provide guidance for real-world applications. However, the thermal effects on battery electrochemical behavior are ignored in most current studies, and these studies were often conducted based on simulation. To solve the above research gaps, a comparative study of different electrochemical models is proposed based on theoretical analysis, numerical simulation, and experimental validation. Using simulation, the error source of different models is found. Using parameter sensitivity analysis, both the accuracy and efficiency of parameter identification are improved. Through electrochemical-thermal coupled modeling, the thermal effects are considered, and experiments ranging from-10 ℃ to 45 ℃ are carried out to validate model accuracy.Resultsshow that the uniform distributed reaction current assumption is the main error source for the simplified electrochemical model. This assumption works well under low current rate conditions but will cause large errors under high current conditions. Besides, incorporating thermal models can increase the accuracy of electrochemical models under different ambient temperatures. Based on experiment data, the non-simplified electrochemical-thermal model can maintain high accuracy under different ambient temperatures and working conditions, the root mean square errors of voltage were less than 25 mV. The simplified electrochemical-thermal model has high accuracy under low current rate conditions, but its accuracy decreases significantly under low state-of-charge and high current rate conditions, and the maximum root mean square error of voltage exceeds 50 mV.

Key words: battery management system, lithium-ion battery, electrochemical-thermal model, parameter identification

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