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锂离子电池容量衰减机理中的数学模型研究

Study on Mathematic Model in Capacity Degradation of Lithium-ion Batteries

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【作者】 徐翠翠徐艳华周义仓

【Author】 XU Cuicui;XU Yanhua;ZHOU Yicang;Basic Discipline Department, Shanxi Communications Vocational and Technical College;Department of Construction Engineering, Shanxi Railway Engineering College;School of Mathematics and Statistics, Xi’an Jiaotong University;

【机构】 陕西交通职业技术学院基础学科部陕西铁路工程职业技术学院建筑工程系西安交通大学数学与统计学院

【摘要】 锂离子电池是当今社会最为重要的电化学储能器件之一,被广泛用于便携式电子设备、电动汽车、大规模储能等领域。但是电池容量在使用过程中出现不同程度的衰减现象,直接影响了电池的能量密度和功率密度的发挥。因此,研究锂离子电池的容量衰减机理,对电极材料的筛选、电池失效分析、以及智能电网的管理均具有指导意义。对于锂离子电池而言,通过数学模拟,利用数学关系对电极反应和电池性能进行描述:建立在集流体间的一维空间和涂覆电极平面的二维空间的模型,对锂离子电池的性能进行检测;根据数学模型构建电池容量衰减的相关因素、放电倍率与电池容量之间的构效关系;通过建立电池容量与电解质相对密度的关系,可以实现对电池的荷电状态的预测。因此,通过实际可测的物理参数,比如电子电导率、离子电导率、锂离子扩散系数等,建立复合电极的数学模型,形成基于物理公式和实际意义的数学模型,预测复杂的电极过程,具有重要的理论指导和实际应用价值。

【Abstract】 As one of the most important electrochemical energy storage devices, lithium-ion batteries have been used widely in portable electronic devices, electric vehicles and large-scale energy storage. However, battery capacity decays to some extent in use process, which directly affects the final energy density and power density. Therefore, researches on the capacity decay mechanism of lithium-ion batteries areinstructive in screening electrode materials, battery failure analysis and smart-grid management. In lithium-ion batteries, simulation can be applied to describe the electrode reaction and battery performance by mathematical relationships:(1) constructing a one-dimensional current collector and a two-dimensional electrode plane to forecast the performance of lithium-ion batteries;(2) constructing the structure-effect relationship between battery capacity degradation and contributory factors;(3) predicting the state of charge of the lithium ion batteries by establishing the relationship between capacity and the relative density of electrolyte. It is of significantly theoretical guidance and practical application value to establish mathematical model of the complex composite electrode through the actual measurable physical parameters, such as electronic conductivity, ionic conductivity, lithium ion diffusion coefficient.

【基金】 国家自然科学基金(51675490);2020年度陕西交通职业技术学院教育教学改革研究项目(XY2015);陕西省科技厅自然科学基金项目(2020JM-455);陕西省科技统筹创新工程计划项目(2016KTCL03-19)
  • 【文献出处】 微型电脑应用 ,Microcomputer Applications , 编辑部邮箱 ,2021年04期
  • 【分类号】TM912
  • 【下载频次】461
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