State of Charge Estimation Based on Constructing a Reliable Battery Model with Data Missing
Mao Ling1, Zhao Jianhui1, Lin Tao1, Zhao Jinbin2, Hu Qin1
1. College of Electrical Engineering Shanghai University of Electric Power Shanghai 200090 China; 2. Engineering Research Center of Offshore Wind Technology Ministry of Education Shanghai University of Electric Power Shanghai 200090 China
Abstract:Reliable measurement data is essential for lithium-ion batteries' state of charge (SOC) estimation. However, data missing and noise interference can affect the reliability of SOC estimation in complex industrial environments where data missing is inevitable. Data missing occurs when the controller does not fully receive sensor measurements, which is caused by sensor failure and communication failure. In the case of electric vehicles, the data undergoes several intermediate steps in testing and storage, and any error in these steps may lead to data being missing. In data transmission, the interference of remote wireless transmission signals may cause data loss. When data is stored in the data center, memory or hardware faults may cause data loss. This paper simulates data missing due to random sensor faults by introducing random sequences obeying a Bernoulli distribution. Since the voltage and current data come from different sensors in the battery pack, both are missing, but the data is missing due to random voltage and noise. Thus, this paper focuses only on the random missing case of the voltage data. The effect of random missing data on the SOC estimation of conventional batteries is analyzed. The SOC estimation by the traditional discrimination method (RLS) with the extended Kalman filter (EKF) method under the missing random voltage data makes the SOC value deviate entirely from the reference value, with the maximum error exceeding 20% at 1% missing rate, the maximum output voltage error reaching 5 V, and the ohmic internal resistance and polarization resistance-capacitance under the parameter discrimination enlarged by several times. The traditional method can no longer reflect the real situation of the battery's internal state parameters and SOC. This paper achieves a more accurate SOC estimation and higher accuracy of the terminal voltage output for unreliable environments by combining relevance vector machine (RVM) and random forest (RF). The extended Kalman filter (EKF) algorithm increases computational complexity and reduces estimation accuracy because its linearization process requires a first-order Taylor expansion and Jacobian matrix. In contrast, untraceable Kalman filtering (UKF) provides high accuracy and adaptability by employing the untraceable transform to generate a series of Sigma points to directly compute the state estimates and error covariance, avoiding the linearization step and the computation of the Jacobian matrix. Therefore, the UKF is used for SOC estimation and noise reduction. Finally, the experimental platform validates the method. Experimental results show that the proposed method maintains the mean absolute error (MAE) within 1% under various working conditions and missing rates.
毛玲, 赵建辉, 林涛, 赵晋斌, 胡琴. 数据缺失下基于构建可靠电池模型的荷电状态估计[J]. 电工技术学报, 2025, 40(20): 6733-6743.
Mao Ling, Zhao Jianhui, Lin Tao, Zhao Jinbin, Hu Qin. State of Charge Estimation Based on Constructing a Reliable Battery Model with Data Missing. Transactions of China Electrotechnical Society, 2025, 40(20): 6733-6743.
[1] 李钰. 新能源汽车动力电池应用现状及发展趋势探析[J]. 内燃机与配件, 2024(12): 132-134. Li Yu.Analysis of application status and development trends of power batteries in new energy vehicles[J]. Internal Combustion Engine & Parts, 2024(12): 132-134. [2] Qin Yan, Adams S, Yuen C.Transfer learning-based state of charge estimation for lithium-ion battery at varying ambient temperatures[J]. IEEE Transactions on Industrial Informatics, 2021, 17(11): 7304-7315. [3] Wei Zhongbao, Liu Kailong, Liu Xinghua, et al.Multilevel data-driven battery management: from internal sensing to big data utilization[J]. IEEE Transactions on Transportation Electrification, 2023, 9(4): 4805-4823. [4] Chang Weien, Kung C C.An improved AhI method with deep learning networks for state of charge estimation of lithium-ion battery[J]. IEEE Access, 2024, 12: 55465-55473. [5] Li Yigang, Qi Hongzhong, Shi Xinglei, et al.A physics-based equivalent circuit model and state of charge estimation for lithium-ion batteries[J]. Energies, 2024, 17(15): 3782. [6] 刘萍, 李泽文, 蔡雨思, 等. 基于等效电路模型和数据驱动模型融合的SOC和SOH联合估计方法[J]. 电工技术学报, 2024, 39(10): 3232-3243. Liu Ping, Li Zewen, Cai Yusi, et al.Joint estimation method of SOC and SOH based on fusion of equivalent circuit model and data-driven model[J]. Transactions of China Electrotechnical Society, 2024, 39(10): 3232-3243. [7] Wang Yujie, Tian Jiaqiang, Sun Zhendong, et al.A comprehensive review of battery modeling and state estimation approaches for advanced battery mana- gement systems[J]. Renewable and Sustainable Energy Reviews, 2020, 131: 110015. [8] 孙丙香, 王家驹, 苏晓佳, 等. 基于阶梯波的锂离子电池电化学阻抗谱低频段在线辨识方法[J]. 电工技术学报, 2023, 38(11): 3064-3072. Sun Bingxiang, Wang Jiaju, Su Xiaojia, et al.Study on online identification method of low frequency electrochemical impedance spectroscopy for lithium- ion battery based on step wave[J]. Transactions of China Electrotechnical Society, 2023, 38(11): 3064-3072. [9] 刘娟, 雷辉, 吕金, 等. 基于CNN-LSTM的锂离子SOC估计[J]. 电气传动, 2024, 54(2): 26-31. Liu Juan, Lei Hui, Lü Jin, et al.SOC estimation of lithium-ion batteries based on CNN-LSTM[J]. Elec- tric Drive, 2024, 54(2): 26-31. [10] 赵靖英, 胡劲, 张雪辉, 等. 基于锂电池模型和分数阶理论的SOC-SOH联合估计[J]. 电工技术学报, 2023, 38(17): 4551-4563. Zhao Jingying, Hu Jin, Zhang Xuehui, et al.Joint estimation of the SOC-SOH based on lithium battery model and fractional order theory[J]. Transactions of China Electrotechnical Society, 2023, 38(17): 4551-4563. [11] 王语园, 安盼龙, 惠亮亮. 基于卡尔曼滤波算法的电池状态估计[J]. 电源学报, 2024, 22(4): 243-250. Wang Yuyuan, An Panlong, Hui Liangliang.Battery state estimation based on Kalman filter algorithm[J]. Journal of Power Supply, 2024, 22(4): 243-250. [12] 黄凯, 孙恺, 郭永芳, 等. 基于观测方程重构滤波算法的锂离子电池荷电状态估计[J]. 电工技术学报, 2024, 39(7): 2214-2224. Huang Kai, Sun Kai, Guo Yongfang, et al.State of charge estimation of lithium-ion battery based on enhanced extended Kalman filter algorithm with observation equation reconstruction[J]. Transactions of China Electrotechnical Society, 2024, 39(7): 2214-2224. [13] 周娟, 孙啸, 刘凯, 等. 联合扩展卡尔曼滤波的滑模观测器SOC估算算法研究[J]. 中国电机工程学报, 2021, 41(2): 692-703. Zhou Juan, Sun Xiao, Liu Kai, et al.Research on the SOC estimation algorithm of combining sliding mode observer with extended Kalman filter[J]. Proceedings of the CSEE, 2021,41(2): 692-703. [14] 刘旖琦, 雷万钧, 刘茜, 等. 基于双自适应扩展粒子滤波器的锂离子电池状态联合估计[J]. 电工技术学报, 2024, 39(2): 607-616. Liu Yiqi, Lei Wanjun, Liu Qian, et al.Joint state estimation of lithium-ion battery based on dual adaptive extended particle filter[J]. Transactions of China Electrotechnical Society, 2024, 39(2): 607-616. [15] 贠祥, 张鑫, 王超, 等. 基于联合参数辨识的粒子群优化扩展粒子滤波的锂电池荷电状态估计[J]. 电工技术学报, 2024, 39(2): 595-606. Yun Xiang, Zhang Xin, Wang Chao, et al.State of charge estimation of Li-ion battery using particle swarmoptimization extended Kalman particle filter based on joint parameter identification[J]. Transa- ctions of China Electrotechnical Society, 2024, 39(2): 595-606. [16] 王雨妍, 李翔晟, 陈志峰, 等. 基于AEKF滤波与H∞滤波的锂离子电池SOC联合估计[J]. 电源技术, 2022, 46(5): 536-540. Wang Yuyan, Li Xiangsheng, Chen Zhifeng, et al.State of charge estimation for lithium ion battery based on adaptive extended Kalman filter and H∞ filter algorithm[J]. Chinese Journal of Power Sources, 2022, 46(5): 536-540. [17] Yu Quanqing, Wang Can, Li Jianming, et al.Challenges and outlook for lithium-ion battery fault diagnosis methods from the laboratory to real world applications[J]. eTransportation, 2023, 17: 100254. [18] Chen Hui, Tian Engang, Wang Licheng.State-of- charge estimation of lithium-ion batteries subject to random sensor data unavailability: a recursive filtering approach[J]. IEEE Transactions on Industrial Electronics, 2022, 69(5): 5175-5184. [19] Chen Jing, Zhu Quanmin, Liu Yanjun.Modified Kalman filtering based multi-step-length gradient iterative algorithm for ARX models with random missing outputs[J]. Automatica, 2020, 118: 109034. [20] Zhang Zili, Pu Yan, Xu Fei, et al.An improved adaptive Kalman filter based on auxiliary model for state of charge estimation with random missing outputs[J]. Journal of the Electrochemical Society, 2023, 170(2): 020512. [21] Xu Hong, Wang Shunli, Fan Yongcun, et al.A novel Drosophila-back propagation method for the lithium- ion battery state of charge estimation adaptive to complex working conditions[J]. International Journal of Energy Research, 2022, 46(11): 15864-15880. [22] 欧阳天成, 徐裴行, 叶今禄, 等. 数据采集异常下的车用动力电池状态监测与故障诊断[J]. 中国电机工程学报, 2023, 43(15): 6040-6050. Ouyang Tiancheng, Xu Peihang, Ye Jinlu, et al.States monitoring and fault diagnosis of vehicular power batteries under abnormal data acquisition[J]. Pro- ceedings of the CSEE,2023,43(15):6040-6050. [23] Mao Ling, Hu Qin, Zhao Jinbin, et al.State-of-charge of lithium-ion battery based on equivalent circuit model-Relevance vector machine fusion model considering varying ambient temperatures[J]. Measu- rement, 2023, 221: 113487. [24] 刘素贞, 袁路航, 张闯, 等. 基于超声时域特征及随机森林的磷酸铁锂电池荷电状态估计[J]. 电工技术学报, 2022, 37(22): 5872-5885. Liu Suzhen, Yuan Luhang, Zhang Chuang, et al.State of charge estimation of LiFeO4 batteries based on time domain features of ultrasonic waves and random forest[J]. Transactions of China Electrotechnical Society, 2022, 37(22): 5872-5885. [25] Li Da, Zhang Zhaosheng, Liu Peng, et al.Battery fault diagnosis for electric vehicles based on voltage abnormality by combining the long short-term memory neural network and the equivalent circuit model[J]. IEEE Transactions on Power Electronics, 2021, 36(2): 1303-1315.