动力锂离子电池分形电路模型的降阶分析  

Reduced-order analysis for the fractional circuit model of automotive lithium ion battery

作　　者：方迪[1,2] 黄秋安 杨剑 杨昌平 FANG Di;HUANG Qiuan;YANG Jian;YANG Changping(Faculty of Physics and Electronic Science,Hubei University,Wuhan 430062,China;School of Computer Science and Information Engineering,Hubei University,Wuhan 430062,China)

机构地区：[1]湖北大学物理与电子科学学院,湖北武汉430062 [2]湖北大学计算机与信息工程学院,湖北武汉430062

出　　处：《湖北大学学报（自然科学版）》2018年第3期226-231,共6页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(11674086);教育部留学归国人员科研启动基金((2015)311);湖北省教育厅重点项目(D20141003)资助

摘　　要：采用改进Randle分形电路描述动力锂离子电池的传递函数,并给出该分形电路阶跃电流响应解析解.随后,对由R_1//CPE_1和Z_(W∞)分形子电路构成的电路模型进行降阶处理.时域仿真表明,在0.1 10.0 s时间范围内,降阶模型近似解和分形模型的解析解非常逼近,其中Z_(W∞)电路四阶降阶模型相对误差低于3.0%,而R1//CPE1分形系数α>0.8时,相对误差低于12.0%.给出的分形电路降阶模型不仅降低运算的复杂性,而且精度满足控制要求.An improved Randle fractional circuit is proposed to describe the transfer function of a lithium-ion battery,and the analytic solution of the step current response is addressed.Then,the reduced order processing is conducted on circuit model containing fractional element R 1//CPE 1 and Z W∞.Simulating results in time domain show that the analyzable solution is very close to approximate solution for the current step response of both Z W∞and R 1//CPE 1.In the time range of 0.1 10.0 s,the relative errors are less than 3.0%,and less than 12.0%for R 1//CPE 1 withα>0.8.The reduced order model obtained in present work not only reduces the complexity of operation,but also roughly meets with the requirements of control precision.

关 键 词：动力锂离子电池 分形电路 Warburg阻抗 降阶处理 

分 类 号：TM911[电气工程—电力电子与电力传动]