Robustness of SOC Estimation Algorithms for EV Lithium-Ion Batteries against Modeling Errors and Measurement Noise

State of charge (SOC) is one of the most important parameters in battery management system (BMS). There are numerous algorithms for SOC estimation, mostly of model-based observer/filter types such as Kalman filters, closed-loop observers, and robust observers. Modeling errors and measurement noises have critical impact on accuracy of SOC estimation in these algorithms. This paper is a comparative study of robustness of SOC estimation algorithms against modeling errors and measurement noises. By using a typical battery platform for vehicle applications with sensor noise and battery aging characterization, three popular and representative SOC estimation methods (extended Kalman filter, PI-controlled observer, and observer) are compared on such robustness. The simulation and experimental results demonstrate that deterioration of SOC estimation accuracy under modeling errors resulted from aging and larger measurement noise, which is quantitatively characterized. The findings of this paper provide useful information on the following aspects: (1) how SOC estimation accuracy depends on modeling reliability and voltage measurement accuracy; (2) pros and cons of typical SOC estimators in their robustness and reliability; (3) guidelines for requirements on battery system identification and sensor selections.

[1]  Gregory L. Plett,et al.  Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs Part 1. Background , 2004 .

[2]  Chunbo Zhu,et al.  An improved Ampere-hour method for battery state of charge estimation based on temperature, coulomb efficiency model and capacity loss model , 2010, 2010 IEEE Vehicle Power and Propulsion Conference.

[3]  Le Yi Wang,et al.  Robust and Adaptive Estimation of State of Charge for Lithium-Ion Batteries , 2015, IEEE Transactions on Industrial Electronics.

[4]  John McPhee,et al.  Simplification and order reduction of lithium-ion battery model based on porous-electrode theory , 2012 .

[5]  J. G. Ziegler,et al.  Optimum Settings for Automatic Controllers , 1942, Journal of Fluids Engineering.

[6]  Hongwen He,et al.  State-of-Charge Estimation of the Lithium-Ion Battery Using an Adaptive Extended Kalman Filter Based on an Improved Thevenin Model , 2011, IEEE Transactions on Vehicular Technology.

[7]  Binggang Cao,et al.  The State of Charge Estimation of Lithium-Ion Batteries Based on a Proportional-Integral Observer , 2014, IEEE Transactions on Vehicular Technology.

[8]  Zheng Chen,et al.  State of Charge Estimation of Lithium-Ion Batteries in Electric Drive Vehicles Using Extended Kalman Filtering , 2013, IEEE Transactions on Vehicular Technology.

[9]  Roger A. Dougal,et al.  Dynamic lithium-ion battery model for system simulation , 2002 .

[10]  Antoni Szumanowski,et al.  Battery Management System Based on Battery Nonlinear Dynamics Modeling , 2008, IEEE Transactions on Vehicular Technology.

[11]  G. Zames Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses , 1981 .

[12]  Valerie H. Johnson,et al.  Battery performance models in ADVISOR , 2002 .

[13]  M. Hoshiya,et al.  Structural Identification by Extended Kalman Filter , 1984 .

[14]  Seongjun Lee,et al.  State-of-charge and capacity estimation of lithium-ion battery using a new open-circuit voltage versus state-of-charge , 2008 .

[15]  Gregory L. Plett,et al.  Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 2. Modeling and identification , 2004 .

[16]  Uzay Kaymak,et al.  Modeling and Identification , 2002 .

[17]  Kai Zhao,et al.  Evaluation on State of Charge Estimation of Batteries With Adaptive Extended Kalman Filter by Experiment Approach , 2013, IEEE Transactions on Vehicular Technology.

[18]  Magdi S. Mahmoud,et al.  State and Parameter Estimation , 1984 .

[19]  Andreas Jossen,et al.  Methods for state-of-charge determination and their applications , 2001 .

[20]  J. Doyle,et al.  Essentials of Robust Control , 1997 .

[21]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[22]  Suleiman M. Sharkh,et al.  Estimation of State of Charge of Lithium-Ion Batteries Used in HEV Using Robust Extended Kalman Filtering , 2012 .

[23]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[24]  Min Chen,et al.  Accurate electrical battery model capable of predicting runtime and I-V performance , 2006, IEEE Transactions on Energy Conversion.

[25]  Han-Pang Huang,et al.  A New State of Charge Estimation Method for LiFePO4 Battery Packs Used in Robots , 2013 .

[26]  Jie Huang,et al.  Numerical approach to computing nonlinear H-infinity control laws , 1995 .

[27]  Branko Ristic,et al.  Beyond the Kalman Filter: Particle Filters for Tracking Applications , 2004 .

[28]  Kai Ding,et al.  Battery-Management System (BMS) and SOC Development for Electrical Vehicles , 2011, IEEE Transactions on Vehicular Technology.

[29]  A. Sideris,et al.  Frequency response algorithms for H/sub infinity / optimization with time domain constraints , 1989 .

[30]  Gregory L. Plett,et al.  Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 3. State and parameter estimation , 2004 .

[31]  Jun Xu,et al.  A new method to estimate the state of charge of lithium-ion batteries based on the battery impedance model , 2013 .

[32]  Guangjun Liu,et al.  Estimation of Battery State of Charge With $H_{\infty}$ Observer: Applied to a Robot for Inspecting Power Transmission Lines , 2012, IEEE Transactions on Industrial Electronics.

[33]  Mehrdad Mastali,et al.  Battery state of the charge estimation using Kalman filtering , 2013 .

[34]  P. Khargonekar,et al.  State-space solutions to standard H2 and H∞ control problems , 1988, 1988 American Control Conference.

[35]  Xiaosong Hu,et al.  Robustness analysis of State-of-Charge estimation methods for two types of Li-ion batteries , 2012 .