吉林大学学报(信息科学版)

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锂离子电池电化学建模及其简化方法

李光远a,马 彦a,b   

  1. 吉林大学 a. 通信工程学院; b. 汽车仿真与控制国家重点实验室,长春 130022
  • 收稿日期:2018-02-15 出版日期:2018-05-24 发布日期:2018-07-25
  • 作者简介:李光远( 1991— ) ,男,河南平顶山人,吉林大学硕士研究生,主要从事电动汽车锂离子动力电池电化学建模研究,( Tel)86-18843142287( E-mail) 18204312059@ 163. com; 通讯作者: 马彦( 1970— ) ,女,长春人,吉林大学教授,硕士生导师,主要从事电动汽车动力电池管理系统、系统辨识研究,( Tel) 86-13944003569( E-mail) mayan_maria@ 163. com。
  • 基金资助:
     国家自然科学基金国际( 地区) 合作与交流重点基金资助项目( 61520106008) ; 吉林省教育厅“十三五”科学技术研究规划基金资助项目( 2016430) ; 吉林大学研究生创新基金资助项目( 2017008; 2017054)

Electrochemical Modeling Approach of Lithium-Ion Battery and Its Simplification Method

LI Guangyuana ,MA Yanaa,b   

  1.  a. College of Communication Engineering; b. State Key Laboratory of Automotive Simulation and Control,Jilin University,Changchun 130022,China
  • Received:2018-02-15 Online:2018-05-24 Published:2018-07-25

摘要: 通用的锂离子电池精确电化学模型———准二维模型存在两个主要的数值问题: 状态量过多,计算复杂,导致难以实时应用。为此,搭建了电池的一维模型,用 Laplace 变换将模型转化到频域求解,将固相锂离子的径向扩散表示为无维度的导纳形式,通过降维解决了状态量过多的问题。针对超越方程,使用 Padé 近似做进一步化简以降低计算复杂度,设计了基于 Laplace 变换和 Padé 近似的锂离子电池简化一维模型。通过分析模型的复杂度,并采用不同放电电流工况验证该模型,比较了该模型与精确模型的浓度分布与端电压。实验结果验证了该模型的误差维持在 40 mV 以内,在降低计算复杂度的同时保持了较高的精度。

关键词: 锂离子电池, 电化学模型, 电动汽车, 简化一维模型, Padé, 近似

Abstract: General precise electrochemical battery model of Lithium-ion battery,Quasi-two-dimensional model,has two major numerical problems: excessive state quantities and high computational complexity,making it difficult to be applied in real time conditions. Aiming at the problems of quasi-two-dimensional model,a one-dimensional model is proposed. And the Laplace transform is used to transform the model into the frequency domain. The radial diffusion of solid-state lithium-ions is represented as a non-dimensional admittance form,which solves the problem of excessive state quantity by reducing the dimension. For the transcendental equation,the Padé approximation is used to reduce the computational complexity. The proposed model's complicity is analyzed and the model was verified by different discharging currents. The concentration distribution and terminal voltage of the proposed model and the exact model are compared. The experimental results show that a voltage error is within 40 mV,reducing the computational complexityunder and ensuring the accuracy of the model.

Key words: simplified 1D model;Padé, approximation,  electric vehicle, Lithium-ion battery, electrochemical model

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