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  • 一種基于恒流充電階段電壓數據的鋰離子電池健康狀態估計模型

    An estimation model of the state of health of lithium-ion batteries based on the voltage data in the constant current charging stage

    • 摘要: 為滿足儲能系統電池管理中健康狀態(State of health, SOH)估計算法兼顧高精度與輕量化的需求,本文提出了一種基于局部電壓擬合(Local voltage fitting, LVF)的SOH估計方法. 該方法以等效電路模型為理論基礎,建立恒流充電階段電壓與時間的映射關系模型,并通過非線性擬合實現對SOH的直接求解. 基于18650型磷酸鐵鋰(LiFePO4)電池的循環壽命實驗數據結果表明,LVF模型在無需完整充電曲線的情況下即可實現高精度SOH估計,均方根誤差(Root mean square error, RMSE)為1.249×10?3,最大相對誤差(Max relative error, MRE)為9.489×10?3,平均絕對百分比誤差(Mean absolute percentage error, MAPE)為0.1037%. 與BP(Back propagation)神經網絡和梯度提升回歸樹模型相比,LVF的RMSE降低了83.12%和79.12%,且計算時間相較于二者縮短了84.60%和56.05%. 在同濟大學公開的NCM電池數據集上驗證表明,LVF模型在不同電池體系與一致性條件下均能保持穩定估計性能,RMSE約為4.856×10?3,MRE約為1.87×10?2,MAPE約為0.3231%. 綜上,所提出的LVF模型兼具高精度、低復雜度和廣泛適用性,為儲能電池健康評估與梯次利用提供了一種高效、可解釋的建模思路.

       

      Abstract: This study addresses the engineering requirements for lithium-ion battery state-of-health (SOH) estimation in large-scale energy storage systems, where both high estimation accuracy and low computational complexity are essential. To meet these requirements, a local voltage fitting (LVF) model based on a second-order equivalent circuit was proposed and validated using both laboratory and public datasets. The proposed LVF model directly utilizes the voltage response during the constant-current charging phase and constructs a mapping relationship between the terminal voltage and charging time, in which the circuit parameters and SOH are treated as coupled fitting coefficients. Unlike conventional data-driven models that rely on large training datasets and complex hyperparameter tuning, the LVF model is built based on clear physical principles and requires only a small amount of easily accessible charging data. To improve the fitting robustness and general applicability, the model employs segmented voltage data within the state-of-charge (SOC) range 0.30, 0.90, avoiding the low- and high-SOC regions, where the voltage curve exhibits strong nonlinearity and is difficult to approximate accurately. In this study, experimental validation was conducted using two identical 18650-type lithium iron phosphate (LiFePO4) batteries, denoted as LP1 and LP2. The effects of different SOC segmentation strategies on the estimation accuracy and computation time were compared based on the equivalent circuit parameters obtained from hybrid pulse power characteristic (HPPC) tests. Results show that when applying the LVF model within the SOC range 0.30, 0.90, the root mean square error (RMSE) of SOH estimation for LP1 and LP2 reached 1.249×10?3 and 2.678×10?3, respectively, while the corresponding fitting times were 7.46 and 6.86 s. These results indicated that the proposed LVF model achieved an excellent balance between accuracy and computational efficiency. To further evaluate its performance, the LVF model was compared with two representative data-driven algorithms: the back propagation (BP) neural network and the gradient boosting regression trees (GBRT). Using the LP2 dataset for training and the LP1 dataset for testing, the comparison demonstrated that the LVF model achieved a maximum relative error (MRE) of 9.489×10?3, an RMSE of 1.249×10?3 and MAPE of 0.1037%. Compared with the BP and GBRT algorithms, the MRE decreased by 57.64% and 53.94%, respectively, whereas the RMSE decreased by 83.12% and 79.12%, respectively. To validate its generalizability, the LVF model was applied to an open-access NCM battery dataset from Tongji University. Six batteries (N11, N13, N14, N24, N25, and N27) were used to estimate the SOH of the target battery (N12) under consistent and inconsistent conditions. When the batteries exhibited good consistency, the data-driven methods achieved comparable accuracy; however, under poor consistency, their estimation errors increased significantly, whereas the LVF model maintained an RMSE of approximately 4.856×10?3. This demonstrates the robustness, insensitivity to battery consistency, and adaptability of the model across different Li-ion chemistries. In summary, the proposed LVF model realizes an accurate, physically interpretable, and computationally efficient SOH estimation using only partial constant current–voltage data. This reduces the dependence on complete charge profiles and large-scale datasets while maintaining high estimation precision. The model has been validated on both LiFePO4 and NCM batteries, confirming its versatility across chemistries. Given its low computational cost, independence of data consistency, and ease of parameter acquisition, the LVF model offers a promising solution for real-time SOH estimation and condition monitoring in large-scale energy storage systems.

       

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