能源、动力与电气工程

基于多新息最小二乘和多新息扩展卡尔曼滤波算法的锂电池SOC估计

  • 巫春玲 ,
  • 付俊成 ,
  • 徐先峰 ,
  • 孟锦豪 ,
  • 郑克军 ,
  • 胡雯博
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  • 1.长安大学 能源与电气工程学院,陕西 西安 710064
    2.西安交通大学 电气工程学院,陕西 西安 710049
巫春玲(1978-),女,博士,副教授,主要从事储能锂电池管理系统研究。E-mail:wuchl@chd.edu.cn

收稿日期: 2022-09-30

  网络出版日期: 2023-06-20

基金资助

国家重点研发计划项目(2021YFB2601304);陕西省重点研发计划项目(2022GY-193)

Lithium Battery SOC Estimation Based on Multi Innovation Least Square and Multi Innovation Extended Kalman Filter Algorithm

  • WU Chunling ,
  • FU Juncheng ,
  • XU Xianfeng ,
  • MENG Jinhao ,
  • ZHENG Kejun ,
  • HU Wenbo
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  • 1.School of Energy and Electrical Engineering,Chang’an University,Xi’an 710064,Shaanxi,China
    2.School of Electrical Engineering,Xi’an Jiaotong University,Xi’an 710049,Shaanxi,China
巫春玲(1978-),女,博士,副教授,主要从事储能锂电池管理系统研究。E-mail:wuchl@chd.edu.cn

Received date: 2022-09-30

  Online published: 2023-06-20

Supported by

the National Key R&D Program of China(2021YFB2601304);the Key Research and Development Program of Shaanxi Province(2022GY-193)

摘要

针对现有SOC(荷电状态)估计方法中电池模型参数恒定,没有考虑电池模型参数的动态变化,导致SOC的估计不够精准的问题,文中提出了一种基于电池模型参数在线辨识与SOC估计联合的算法。在二阶RC等效电路模型基础上,采用多新息最小二乘(Multi Innovation Least Squares,MILS)算法对锂离子电池模型中的参数进行在线辨识,从而对电池模型进行实时修正;同时基于修正后的电池模型,采用多新息扩展卡尔曼滤波(Multi Innovation Extended Kalman Filter,MIEKF)算法对电池荷电状态进行估计。MILS算法可以解决在线参数辨识过程中的初始误差累积问题,能够实现模型参数的在线精准辨识,MIEKF算法融合了多新息理论和卡尔曼滤波理论,加入了遗忘因子以削弱历史数据并修正权重,解决了数据过饱和问题,具有较高的准确性和收敛性。实验结果表明,在对电池模型进行参数辨识时,MILS算法、RLS算法辨识的均方根误差分别为1.4、1.9 mV,MILS算法相比RLS算法的估计精度提高了26.3%;对于参数辨识后SOC的估计,MIEKF算法估计的均方根误差为0.003 7,EKF算法、AEKF算法估计的均方根误差分别为0.007 3、0.005 2,MIEKF算法比EKF算法的估计精度提高了49.31%,比AEKF算法的估计精度提高了28.84%;并且在给定SOC初值错误的情况下,文中所提出算法在电池开始工作后30 s左右就能够收敛到真实值,是一种精度高而且鲁棒性好的有效估计方法。

本文引用格式

巫春玲 , 付俊成 , 徐先峰 , 孟锦豪 , 郑克军 , 胡雯博 . 基于多新息最小二乘和多新息扩展卡尔曼滤波算法的锂电池SOC估计[J]. 华南理工大学学报(自然科学版), 2024 , 52(2) : 74 -83 . DOI: 10.12141/j.issn.1000-565X.220636

Abstract

The existing State of Charge (SOC) estimation methods assume constant parameters for the battery model and do not consider the dynamic changes in these parameters, resulting in imprecise SOC estimates. In view of this limitation, the paper introduced an algorithm that combines online identification of battery model parameters with SOC estimation. Based on the second-order RC equivalent circuit model, it used Multi Innovation Least Squares (MILS) algorithm to identify the parameters in the lithium-ion battery model online, so as to modify the battery model in real time. At the same time, based on the modified battery model, it estimated the battery state of charge through Multi Innovation Extended Kalman Filter (MIEKF) algorithm. MILS algorithm can solve the problem of initial error accumulation in the process of online parameter identification, and can realize online accurate identification of model parameters. MIEK algorithm combines multi-innovation theory and Kalman filter theory, adds forgetting factor to weaken historical data and correct weight, solves the problem of data oversaturation, and has high accuracy and convergence. The experimental results show that, when identifying the parameters of the battery model, the Root Mean Square Error (RMSE) of the MILS algorithm is 1.4 mV, the RMSE of the RLS algorithm is 1.9 mV, and the estimation accuracy is improved by 26.3%. For the SOC estimation after parameter identification, the RMSE estimated by the MIEKF algorithm is 0.003 7, while the RMSE estimated by the EKF and AEKF algorithms are 0.007 3 and 0.005 2, respectively. The MIEKF algorithm improves the estimation accuracy by 49.31% compared to the EKF algorithm and by 28.84% compared to the AEKF algorithm. Moreover, in the case of an incorrect initial SOC value, the proposed algorithm can converge to the true value after about 30 seconds of battery operation. The algorithm proposed in the paper is an effective estimation method with high accuracy and good robustness.

参考文献

1 王榘,熊瑞,穆浩 .温度和老化意识融合驱动的电动车辆锂离子动力电池电量和容量协同估计[J].电工技术学报202035(23):4980-4987.
  WANG Ju, XIONG Rui, MU Hao .Co-estimation of lithium-ion battery state-of-charge and capacity through the temperature and aging awareness model for electric vehicles[J].Transactions of China Electrotechnical Society202035(23):4980-4987.
2 HE W, WILLIARD N, CHEN C C,et al .State of charge estimation for electric vehicle batteries using unscented Kalman filtering[J].Microelectronics Reliability201353(6):840-847.
3 BIAN C, YANG S, MIAO Q .Cross-domain state-of-charge estimation of Li-ion batteries based on deep transfer neural network with multiscale distribution adaptation[J].IEEE Transactions on Transportation Electrification20217(3):1260-1270.
4 ZHAO Y F, XU J, WANG X,et al .The adaptive fading extended Kalman filter SOC estimation method for lithium-ion batteries[J].Energy Procedia2018145:357-362.
5 WEI Z B, ZHAO J Y, ZOU C F,et al .Comparative study of methods for integrated model identification and state of charge estimation of lithium-ion battery[J].Journal of Power Sources2018402:189-197.
6 WANG L M, LU D, LIU Q,et al .State of charge estimation for LiFePO4 battery via dual extended Kalman filter and charging voltage curve[J].Electrochimica Acta2019296:1009-1017.
7 罗琴琴,苏建徽,林志光,等 .基于递推最小二乘法的虚拟同步发电机参数辨识方法[J].电力系统自动化201943(1):215-221.
  LUO Qinqin, SU Jianhui, LIN Zhiguang,et al .Parameter identification method for virtual synchronous generators based on recursive least square algorithm[J].Automation of Electric Power Systems201943(1):215-221.
8 杜帮华,张宇,吴铁洲,等 .梯次利用锂离子电池等效模型参数在线辨识方法[J].储能科学与技术202110(1):342-348.
  DU Banghua, ZHANG Yu, WU Tiezhou,et al .An online identification method for equivalent model parameters of aging lithium-ion batteries[J].Energy Storage Science and Technology202110(1):342-348.
9 卫志农,原康康,成乐祥,等 .基于多新息最小二乘算法的锂电池参数辨识[J].电力系统自动化201943(15):139-145.
  WEI Zhinong, YUAN Kangkang, CHENG Lexiang,et al .Parameter identification of lithium-ion battery based on multi-innovation least squares algorithm[J].Automation of Electric Power Systems201943(15):139-145.
10 ZHAO B G, ZHANG X K, LIANG C L .A novel parameter identification algorithm for 3-DOF ship maneuvering modelling using nonlinear multi-innovation[J].Journal of Marine Science and Engineering202210(5):581.
11 魏金科,安小宇 .多新息模型辨识PMSM双曲正切滑模定位控制[J].机械设计与制造2022(1):164-167.
  WEI Jin-ke, AN Xiao-yu .Hyperbolic-tangent sliding mode position control of multi-innovation model identification permanent magnet synchronous motor[J].Machinery Design & Manufacture2022(1):164-167.
12 吴定会,张建宇,沈艳霞,等 .基于多新息近似最小一乘算法PMSM参数辨识[J].系统仿真学报201830(3):1001-1007.
  WU Dinghui, ZHANG Jianyu, SHEN Yanxia,et al .Parameter identification for PMSM based on multi-innovation approximate least absolute deviation identification algorithm[J].Journal of System Simulation201830(3):1001-1007
13 谢朔,陈德山,初秀民,等 .改进多新息卡尔曼滤波法辨识船舶响应模型[J].哈尔滨工程大学学报201839(2):282-289.
  XIE Shuo, CHEN Deshan, CHU Xiumin,et al .Identification of ship response model based on improved
  multi-innovation extended Kalman filter[J].Journal of Harbin Engineering University201839(2):282-289.
14 GUO R H, SHEN W X .A review of equivalent circuit model based online state of power estimation for lithium-ion batteries in electric vehicles[J].Vehicles20224(1):1-29.
15 SU J, LIN M S, WANG S L,et al .An equivalent circuit model analysis for the lithium-ion battery pack in pure electric vehicles[J].Measurement & Control201952(3/4):193-201.
16 MENG J H, STROE D I, RICCO M,et al .A novel multiple correction approach for fast open circuit voltage prediction of lithium-ion battery[J].IEEE Transactions on Energy Conversion201934(2):1115-1123.
17 REN B Y, XIE C X, SUN X D,et al .Parameter identification of a lithium-ion battery based on the improved recursive least square algorithm[J].IET Power Electronics202013(12):2531-2537.
18 黄敬尧,李凌峰,张扬,等 .基于FF-MILS和UKF算法的锂电池SOC估算[J].电源技术202145(6):711-715,735.
  HUANG Jingyao, LI Lingfeng, ZHANG Yang,et al .Estimation of state of charge for lithium-ion battery based on multi-innovation recursive least square algorithm and unscented Kalman filter[J].Chinese Journal of Power Sources202145(6):711-715,735.
19 孙金磊,邹鑫,顾浩天,等 .基于FFRLS-EKF联合算法的锂离子电池荷电状态估计方法[J].汽车工程202244(4):505-513.
  SUN Jinlei, ZOU Xin, GU Haotian,et al .State of charge estimation for lithium-ion battery based on FFRLS-EKF joint algorithm[J].Automotive Engineering202244(4):505-513.
20 巫春玲,胡雯博,孟锦豪,等 .基于最大相关熵扩展卡尔曼滤波算法的锂离子电池荷电状态估计[J].电工技术学报202136(24):5165-5175.
  WU Chunling, HU Wenbo, MENG Jinhao,et al .State of charge estimation of lithium-ion batteries based on maximum correlation-entropy criterion extended Kalman filtering algorithm[J].Transactions of China Electrotechnical Society202136(24):5165-5175.
21 雷克兵,陈自强 .基于改进多新息扩展卡尔曼滤波的电池SOC估计[J].浙江大学学报(工学版)202155(10):1978-1985,2001.
  LEI Ke-bing, CHEN Zi-qiang .Estimation of state of charge of battery based on improved multi-innovation extended Kalman filter[J].Journal of Zhejiang University (Engineering Science)202155(10):1978-1985,2001.
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