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基于電化學機理耦合模型的鋰電池SOC估計方法

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

  • 摘要: 鋰離子電池的荷電狀態(SOC)估計作為BMS(Battery management system)的核心功能之一,其精確估計能夠有效避免電池出現過充過放問題,從而延長電池使用壽命. 針對等效電路模型和電化學模型的優缺點,本文建立了一種耦合模型,在提高模型精度的同時,能保證很好地實時性,并實時反映出電池內部反應機理. 在耦合模型的基礎上,本文利用LM(Levenberg–Marquardt)非線性最小二乘法對模型中的22個參數進行了辨識;其次,基于耦合模型對卡爾曼濾波算法進行了改進,將模型參數以及通過電化學模型計算出的開路電壓曲線代替實驗值,避免了采樣誤差和滯回特性的影響. 經過UDDS(Urban dynamometer driving schedule)、FUDS(Federal urban driving schedule)和DST(Dynamic steering test)工況的仿真驗證,其平均絕對誤差僅為18.6、28.4和24.7 mV. 在此基礎上,設計了電池放電實驗,在實驗DST電流工況下,EKF(Extended Kalman filter)算法的提升最大,平均誤差降低了1%,SOC估計誤差得到有效改善. 研究結果表明,雖然加入了電化學機理,但并未增加過多估算運行時間,且具有較好的實時性,能夠很好地實現在線估計鋰電池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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