Estimation Error Bound of Battery Electrode Parameters With Limited Data Window

Advanced battery management system, which leverages an in-depth understanding of the battery state of health, can improve efficiently and safely. To this end, we introduce the electrode-level battery state of health (eSOH) estimation problem with open-circuit voltage (OCV) data. In real-world applications, collecting the full-range OCV data is difficult since the battery is not deeply discharged. When data is limited, the estimation accuracy deteriorates. In this article, we quantify the uncertainty of the electrode parameter estimation with partial data based on the Cramer–Rao bound and confidence interval. By introducing a voltage constraint in the estimation problem, the positive electrode parameters can be estimated with sufficient accuracy over a wide range of state of charge. However, the estimation accuracy of the negative electrode parameters is more sensitive to the depth of discharge. The proposed framework can be used as a guideline for selecting proper data windows and understanding the impact on parameter estimation.

[1]  B. C. Ng,et al.  On the Cramer-Rao bound under parametric constraints , 1998, IEEE Signal Processing Letters.

[2]  Harvey Thomas Banks,et al.  Standard errors and confidence intervals in inverse problems: sensitivity and associated pitfalls , 2007 .

[3]  Hosam K. Fathy,et al.  Optimal Control of Film Growth in Lithium-Ion Battery Packs via Relay Switches , 2011, IEEE Transactions on Industrial Electronics.

[4]  Matthieu Dubarry,et al.  Synthesize battery degradation modes via a diagnostic and prognostic model , 2012 .

[5]  Hosam K. Fathy,et al.  Genetic identification and fisher identifiability analysis of the Doyle–Fuller–Newman model from experimental cycling of a LiFePO4 cell , 2012 .

[6]  Le Yi Wang,et al.  Accurate Probabilistic Characterization of Battery Estimates by Using Large Deviation Principles for Real-Time Battery Diagnosis , 2013, IEEE Transactions on Energy Conversion.

[7]  Christopher D. Rahn,et al.  Model based identification of aging parameters in lithium ion batteries , 2013 .

[8]  Zhe Li,et al.  A comparative study of commercial lithium ion battery cycle life in electrical vehicle: Aging mechanism identification , 2014 .

[9]  Hosam K. Fathy,et al.  Fisher identifiability analysis for a periodically-excited equivalent-circuit lithium-ion battery model , 2014, 2014 American Control Conference.

[10]  Anna G. Stefanopoulou,et al.  Analytic Bound on Accuracy of Battery State and Parameter Estimation , 2015 .

[11]  Julien Bernard,et al.  Parameter sensitivity analysis of a simplified electrochemical and thermal model for Li-ion batteries aging , 2016 .

[12]  P. Bruce,et al.  Degradation diagnostics for lithium ion cells , 2017 .

[13]  Xinfan Lin,et al.  Analytic Analysis of the Data-Dependent Estimation Accuracy of Battery Equivalent Circuit Dynamics , 2017, IEEE Control Systems Letters.

[14]  Anna G. Stefanopoulou,et al.  Comparison of Individual-Electrode State of Health Estimation Methods for Lithium Ion Battery , 2018, Volume 2: Control and Optimization of Connected and Automated Ground Vehicles; Dynamic Systems and Control Education; Dynamics and Control of Renewable Energy Systems; Energy Harvesting; Energy Systems; Estimation and Identification; Intelligent Transport.

[15]  Anna G. Stefanopoulou,et al.  Beyond Estimating Battery State of Health: Identifiability of Individual Electrode Capacity and Utilization , 2018, 2018 Annual American Control Conference (ACC).

[16]  Anna G. Stefanopoulou,et al.  Towards better estimability of electrode-specific state of health: Decoding the cell expansion , 2019, Journal of Power Sources.

[17]  Youngki Kim,et al.  Minimum-Time Measurement of Open Circuit Voltage of Battery Systems , 2019, 2019 American Control Conference (ACC).

[18]  Shankar Mohan,et al.  Modeling and Estimation for Advanced Battery Management , 2019, Annu. Rev. Control. Robotics Auton. Syst..

[19]  Xuemin Li,et al.  From Battery Cell to Electrodes: Real-Time Estimation of Charge and Health of Individual Battery Electrodes , 2020, IEEE Transactions on Industrial Electronics.