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采用广义混合最大相关熵准则扩展卡尔曼滤波算法的锂离子电池荷电状态估计 被引量:1

State of Charge Estimation for Lithium-Ion Batteries Using a Generalized Mixture Maximum Correlation-Entropy Criterion-Based Extended Kalman Filter Algorithm
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摘要 为了解决非高斯噪声环境下荷电状态(SOC)估计不准确以及鲁棒性差等问题,提出一种基于广义混合最大相关熵准则的扩展卡尔曼滤波(GMMCC-EKF)算法。该算法利用两个广义高斯函数构成的核函数得到广义混合熵,继承了广义高斯核的灵活性,并通过统计线性化技术将状态误差和测量误差统一纳入代价函数,进而通过固定点迭代法获得非线性方程的最优估计,然后将广义混合最大相关熵准则与扩展卡尔曼滤波相结合,增强在非高斯噪声环境下的稳定性,提高对复杂数据处理的准确性。为了验证算法有效性,分别选用两种不同类型的锂离子电池,在动态应力测试(DST)工况及多种环境温度(10、25和40℃)的新欧洲驾驶循环(NEDC)工况下对电池进行SOC估计。实验结果表明,在25℃且均匀混合噪声环境下,对于1号电池,GMMCC-EKF算法的估计精度相对于扩展卡尔曼滤波算法(EKF)和传统最大相关熵扩展卡尔曼滤波算法(MCC-EKF)分别提高了90.1%和83.9%;对于2号电池,估计精度分别提高了72.4%和47.4%,并且在10、40℃环境下该算法仍展现出最优性能。对1号、2号电池在25℃且拉普拉斯混合噪声环境下进行SOC估计,GMMCC-EKF算法相对于其他两种算法的估计精度也有显著提高。在给定初始值错误的情况下,GMMCC-EKF算法能够快速地收敛到真实值。所提算法具有较高的估计精度、良好的适应性和鲁棒性,可为非高斯噪声环境下的SOC估计提供有效解决方案。 To address the challenges of inaccurate state of charge(SOC)estimation and poor robustness in non-Gaussian noise environments,an extended Kalman filter algorithm based on the generalized mixed maximum correntropy criterion(GMMCC-EKF)is proposed.The algorithm employs a kernel function composed of two generalized Gaussian functions to derive the generalized mixed correntropy,inheriting the flexibility of generalized Gaussian kernels.Through statistical linearization techniques,both state errors and measurement errors are incorporated into a unified cost function,and the optimal estimation of nonlinear equations is obtained via fixed-point iteration.By integrating the generalized mixed maximum correntropy criterion with the extended Kalman filter,the algorithm enhances stability in non-Gaussian noise environments and improves accuracy in processing complex data.To validate the algorithm’s effectiveness,two different types of lithium-ion batteries are tested under dynamic stress test(DST)conditions and new European driving cycle(NEDC)conditions at various ambient temperatures(10℃,25℃,and 40℃).Experimental results demonstrate that at 25℃under uniform mixed noise conditions,the GMMCC-EKF algorithm improves estimation accuracy by 90.1%and 83.9%compared to the conventional extended Kalman filter(EKF)and maximum correntropy criterion EKF(MCC-EKF),respectively,for No.1 battery 1.Similarly,for No.2 battery,accuracy improves by 72.4%and 47.4%.The algorithm also maintains superior performance at 10℃and 40℃.Under Laplacian mixed noise conditions at 25℃,the GMMCC-EKF algorithm exhibits significant accuracy improvements for both No.1 battery and No.2 battery compared to the other two algorithms.Additionally,with erroneous initial values,the GMMCC-EKF algorithm rapidly converges to the true SOC.The proposed algorithm demonstrates high estimation accuracy,strong adaptability,and superior robust performance,providing an effective solution for SOC estimation in non-Gaussian noise environments.
作者 巫春玲 赵玉冰 耿莉敏 徐先峰 王溢波 陈昊 WU Chunling;ZHAO Yubing;GENG Limin;XU Xianfeng;WANG Yibo;CHEN Hao(School of Energy and Electrical Engineering,Chang’an University,Xi’an 710064,China;Shaanxi Key Laboratory of New Transportation Energy and Automotive Energy Saving,Chang’an University,Xi’an 710064,China)
出处 《西安交通大学学报》 北大核心 2025年第7期159-169,共11页 Journal of Xi'an Jiaotong University
基金 国家重点研发计划资助项目(2021YFB2601304) 陕西省重点研发计划资助项目(2022GY-193) 陕西省创新能力支撑计划资助项目(2022KXJ-144)。
关键词 荷电状态估计 广义混合最大相关熵准则 扩展卡尔曼滤波 非高斯噪声 state of charge generalized mixture maximum correlation-entropy criterion extended Kalman filter non-Gaussian noise
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