基于电化学机理耦合模型的锂电池SOC估计方法

SOC estimation method for lithium batteries based on an electrochemical mechanism coupling model

  • 摘要: 锂离子电池的荷电状态(SOC)估计作为BMS(Battery management system)的核心功能之一,其精确估计能够有效避免电池出现过充过放问题,从而延长电池使用寿命. 针对等效电路模型和电化学模型的优缺点,本文建立了一种耦合模型,在提高模型精度的同时,能保证很好地实时性,并实时反映出电池内部反应机理. 在耦合模型的基础上,本文利用LM(Levenberg–Marquardt)非线性最小二乘法对模型中的22个参数进行了辨识;其次,基于耦合模型对卡尔曼滤波算法进行了改进,将模型参数以及通过电化学模型计算出的开路电压曲线代替实验值,避免了采样误差和滞回特性的影响. 经过UDDS(Urban dynamometer driving schedule)、FUDS(Federal urban driving schdule)和DST(Dynamic steering test)工况的仿真验证,其平均绝对误差仅为18.6、28.4和24.7 mV. 在此基础上,设计了电池放电实验,在实验DST电流工况下,EKF(Extended Kalman filter)算法的提升最大,平均误差降低了1%,SOC估计误差得到有效改善. 研究结果表明,虽然加入了电化学机理,但并未增加过多估算运行时间,且具有较好的实时性,能够很好地实现在线估计锂电池SOC.

     

    Abstract: As one of the core functions of a battery management system (BMS), state-of-charge (SOC) estimation for lithium-ion batteries can effectively prevent overcharging and overdischarging, thereby extending battery service life. Considering the respective advantages and limitations of equivalent circuit and electrochemical models, this study begins with battery modeling and establishes a new coupling model by deriving the electrochemical mechanism model and integrating it with the equivalent circuit model. After establishing the electrochemical model, the differential equations of this complex model were simplified using Padé approximation, converting the nonlinear equations into a more tractable polynomial form. This approach not only improves model accuracy but also ensures good real-time performance while reflecting the internal reaction mechanisms of the battery. For parameter identification of the coupling model, the Levenberg–Marquardt (LM) nonlinear least-squares method was employed due to its weak dependence on initial value settings. This method was used to identify 22 parameters within the model. Additionally, the Kalman filtering algorithm was improved based on the coupling model. The original equivalent circuit model was replaced with the coupling model, incorporating more electrochemical parameter information to enhance model accuracy. Furthermore, the open-circuit voltage (OCV) of the battery was derived from the relationship between the Li+ concentration in the electrochemical model and the open-circuit voltages (OCVi)of the positive and negative electrodes. With accurately identified coupling model parameters and a higher-fidelity battery model, the OCV derived from experimental data was replaced with the model-based OCV, enhancing the Kalman filter algorithm’s accuracy. This replacement also mitigated the impact of sampling errors and hysteresis. After the simulation of UDDS (Urban dynamometer driving schedule), FUDS (Federal urban driving schedule), and DST (Dynamic steering test) conditions, the average absolute error was only 18.6, 28.4, and 24.7 mV, respectively. Based on these simulations, a battery discharge experiment was conducted using a cylindrical lithium-ion battery with a ternary lithium (NCM) positive electrode and a calibrated capacity of 2.5 A·h. A dynamic steering test (DST) current profile was applied, with each 32-min cycle discharging approximately 0.5 A·h (20% SOC), ending after the fifth cycle. The model parameters identified using the LM method were input into the model, and comparisons were made using the traditional FFRLS(Forgotten factor recursive least squares) algorithm with the equivalent circuit model. Simultaneously, SOC estimation was performed using the coupling model and the improved Kalman filter algorithm, and the estimated SOC values were compared with experimental results. Under DST conditions, the extended Kalman filter (EKF) algorithm showed the greatest improvement: the average estimation error was reduced by 1%, significantly enhancing SOC estimation accuracy. The result demonstrates that the coupling and electrochemical models developed in this study preserve the battery’s electrochemical characteristics. Despite incorporating the electrochemical mechanism, the proposed SOC estimation method does not significantly increase runtime, offers strong real-time performance, and enables effective online SOC estimation for lithium-ion batteries.

     

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