基于分数阶的锂电池SOC和SOH联合在线估计  

Joint Online Estimation of SOC and SOH for Lithium Batteries Based on Fractional-order Models

作　　者：王辉 严欢 张晓滨[2] 岳园园 孙向东[2] WANG Hui;YAN Huan;ZHANG Xiaobin;YUE Yuanyuan;SUN Xiangdong(Economic and Technological Research Institute,State Grid Shaanxi Electric Power Co.,Ltd.,Xi’an 710065,China;School of Electrical Engineering,Xi’an University of Technology,Xi’an 710054,China)

机构地区：[1]国网陕西省电力有限公司经济技术研究院,西安710065 [2]西安理工大学电气工程学院,西安710054

出　　处：《电源学报》2025年第2期256-265,共10页Journal of Power Supply

基　　金：国网陕西省电力有限公司科学技术资助项目(SGSNJY00GPJS2200015);国家自然科学基金资助项目(52477196);西安市科技计划资助项目(24GXFW0067)。

摘　　要：锂离子电池的荷电状态和健康状态的准确估计一直是亟待解决的关键科学问题。依据二阶分数阶等效电路模型,建立其状态空间方程,推导电池参数和荷电状态的分数阶微积分方程的离散化表达式,再研究1种双分数阶扩展卡尔曼滤波方法,对电池的等效电路参数、荷电状态以及电池容量同时进行估计。提出基于估计的荷电状态和电池容量的时间加权序列方法,监测不同放电电流与累积时间,在线计算电池可用容量,从而实现在任意放电深度和任意放电速率下的电池健康状态实时估计,并且在动态应力测试工况下以3块同厂家、同型号、不同老化程度的单体磷酸铁锂电池进行实验验证。The accurate estimation of the state-of-charge(SOC)and state-of-health(SOH)of lithium-ion batteries is always a key scientific prob-lem that needs to be solved urgently.In this paper,based on a second-order fractional-order equivalent circuit model,the state space equation of a lithium-ion battery is established,and the discretization expressions of fractional-order differential and integral equations of battery parameters and SOC are derived.Then,a dual fractional-order extended Kalman filter method is studied to estimate the equivalent circuit parameters,SOC and battery capacity simultaneously.In addition,a time weighting sequence method based on estimated SOC and battery capacity is proposed,different discharge currents and cumulative time are monitored,and the available capacity of the battery is calculated online,thus achieving real-time estimation of the SOH of the battery at any discharge depth and any discharge rate.Finally,under the conditions of dynamic stress test,three lithium iron phosphate batteries of the same manufacturer,the same model and different aging degrees were used for experimental verification.

关 键 词：锂离子电池 分数阶模型 双分数阶扩展卡尔曼滤波器 时间加权序列方法 

分 类 号：TM912[电气工程—电力电子与电力传动]