电工技术学报  2021, Vol. 36 Issue (18): 3902-3910    DOI: 10.19595/j.cnki.1000-6753.tces.200562
电工理论 |
基于分数阶理论的锂离子电池高频等效电路模型
吴健, 尹泽, 李豪, 赵滨, 季巧, 孙丙香
北京交通大学国家能源主动配电网技术研发中心 北京 100044
High-Frequency Equivalent Circuit Model of Lithium-Ion Battery Based on Fractional Order Theory
Wu Jian, Yin Ze, Li Hao, Zhao Bin, Ji Qiao, Sun Bingxiang
National Active Distribution Network Technology Research Center Beijing Jiaotong University Beijing 100044 China
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摘要 在有电池参与供电的能源系统中通常使用电力电子设备来控制电池和负载或激励之间的能量流动,这就使得电池处于高频应力状态。该文针对锂离子电池电化学阻抗谱(EIS)高频部分实部增长的现象,基于分数阶理论选择三种拟合结果较好的等效电路模型FOM1、FOM2和FOM3。在1kHz、2kHz、4kHz和10kHz频率下对电池进行纹波电流充放电实验,利用实验数据对不同模型电池端电压进行拟合。通过对拟合结果进行对比分析,FOM2精度最高、FOM1计算量最小,根据使用场景要求的不同可以进行不同的选择。此外,在参数辨识的过程中,将FOM2简化得到FOM4,二者的时域拟合结果非常接近,但是EIS拟合结果却相差很大。在对四种模型进行进一步的分析后发现,在针对高频进行建模时,为了提高EIS拟合精度而建立的复杂模型不仅增加了计算量,同时可能无法提高时域拟合的精度。
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关键词 锂离子电池电化学阻抗谱分数阶模型高频    
Abstract:In energy systems with batteries, power electronics are usually used to control the energy flow between the battery and the load or excitation, which puts the battery in a high-frequency stress state. In this paper, according to the high-frequency real part growth phenomenon of electrochemical impedance spectroscopy (EIS) of lithium-ion battery, three equivalent circuit models FOM1, FOM2 and FOM3 with better fitting results were selected based on the fractional-order theory. The ripple current charging and discharging experiments were carried out at the frequencies of 1kHz, 2kHz, 4kHz and 10kHz, and the experimental data were used to fit the battery terminal voltages of different models. By comparing and analyzing the fitting results, FOM2 has the highest accuracy and FOM1 has the least amount of calculation. Different choices can be made according to the requirements of the use scenario. Besides, in the process of parameter identification, FOM2 was simplified to obtain FOM4. The time-domain fitting results of the two models are very close, but the EIS fitting results are quite different. After further analysis of the four models, it is found that when modeling for high frequency, the complex model established to improve the EIS fitting accuracy not only increases calculation but also may not improve the time-domain fitting accuracy.
Key wordsLithium-ion battery    electrochemical impedance spectroscopy    fractional order model    high frequency   
收稿日期: 2020-05-29     
PACS: TM912  
基金资助:国家重点研发计划(2017YFB1201005)和国家自然科学基金(51907005)资助项目
通讯作者: 吴 健 男,1970年生,教授,硕士生导师,研究方向为电池储能系统技术、轨道交通装备新能源系统技术。E-mail: jianwu@bjtu.edu.cn   
作者简介: 尹 泽 男,1995年生,硕士研究生,研究方向为电池储能系统技术、轨道交通装备新能源系统技术。E-mail: 18121532@bjtu.edu.cn
引用本文:   
吴健, 尹泽, 李豪, 赵滨, 季巧, 孙丙香. 基于分数阶理论的锂离子电池高频等效电路模型[J]. 电工技术学报, 2021, 36(18): 3902-3910. Wu Jian, Yin Ze, Li Hao, Zhao Bin, Ji Qiao, Sun Bingxiang. High-Frequency Equivalent Circuit Model of Lithium-Ion Battery Based on Fractional Order Theory. Transactions of China Electrotechnical Society, 2021, 36(18): 3902-3910.
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https://dgjsxb.ces-transaction.com/CN/10.19595/j.cnki.1000-6753.tces.200562          https://dgjsxb.ces-transaction.com/CN/Y2021/V36/I18/3902