Revisiting the dual extended Kalman filter for battery state-of-charge and state-of-health estimation: A use-case life cycle analysis

Abstract One of the most discussed topics in battery research is the state-of-charge (SOC) and state-of-health (SOH) determination of traction batteries. Unfortunately, neither is directly measurable and both must be derived from sensor signals using model-based algorithms. These signals can be noisy and erroneous, leading to an inaccurate estimate and, hence, to a limitation of usable battery capacity. A popular approach tackling these difficulties is the dual extended Kalman filter (DEKF). It consists of two extended Kalman filters (EKFs), that synchronously estimate both the battery states and parameters. An analysis of the reliability of the DEKF estimation against realistically fading battery parameters is still a widely discussed subject. This work investigates the DEKF performance from a high-level perspective, involving different load dynamics and SOH stages. A numerical optimization-based approach for the crucial filter parameterization is employed. We show that the DEKF partly improves the accuracy of the SOC estimation compared to the simple EKF over battery lifetime within the operational limits of an automotive application. However, capacity and internal resistance estimation becomes unreliable and partly diverges from the reference under constant and realistic load scenarios coupled with advanced degradation. As a consequence, a downstream use of both parameters in a SOC or SOH estimation is hampered over the battery lifetime. Extensions are needed to improve reliability and enable employment in real-world applications.

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

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

[3]  David A. Stone,et al.  On-chip implementation of Extended Kalman Filter for adaptive battery states monitoring , 2016, IECON 2016 - 42nd Annual Conference of the IEEE Industrial Electronics Society.

[4]  Pritpal Singh,et al.  Design and implementation of a fuzzy logic-based state-of-charge meter for Li-ion batteries used in portable defibrillators , 2006 .

[5]  D. Stone,et al.  A systematic review of lumped-parameter equivalent circuit models for real-time estimation of lithium-ion battery states , 2016 .

[6]  Michael Zeitz,et al.  Computer-Aided Analysis of Nonlinear Observation Problems , 1992 .

[7]  A. Krener,et al.  Nonlinear controllability and observability , 1977 .

[8]  Zonghai Chen,et al.  A method for the estimation of the battery pack state of charge based on in-pack cells uniformity analysis , 2014 .

[9]  Simona Onori,et al.  Automotive battery prognostics using dual Extended Kalman Filter , 2009 .

[10]  Hongwen He,et al.  A data-driven multi-scale extended Kalman filtering based parameter and state estimation approach of lithium-ion olymer battery in electric vehicles , 2014 .

[11]  P. Van den Bossche,et al.  Advanced lithium ion battery modeling and nonlinear analysis based on robust method in frequency domain: Nonlinear characterization and non-parametric modeling , 2016 .

[12]  Zonghai Chen,et al.  A novel temperature-compensated model for power Li-ion batteries with dual-particle-filter state of charge estimation , 2014 .

[13]  Xiaosong Hu,et al.  Adaptive unscented Kalman filtering for state of charge estimation of a lithium-ion battery for elec , 2011 .

[14]  S. Rael,et al.  State Estimation of a Lithium-Ion Battery Through Kalman Filter , 2007, 2007 IEEE Power Electronics Specialists Conference.

[15]  Bor Yann Liaw,et al.  A novel on-board state-of-charge estimation method for aged Li-ion batteries based on model adaptive extended Kalman filter , 2014 .

[16]  Boris Lohmann,et al.  A Control Effectiveness Estimator with a Moving Horizon Robustness Modification for Fault-Tolerant Hexacopter Control , 2017 .

[17]  Dirk Uwe Sauer,et al.  Advanced mathematical methods of SOC and SOH estimation for lithium-ion batteries , 2013 .

[18]  I. Villarreal,et al.  Critical review of state of health estimation methods of Li-ion batteries for real applications , 2016 .

[19]  IL-Song Kim,et al.  A Technique for Estimating the State of Health of Lithium Batteries Through a Dual-Sliding-Mode Observer , 2010, IEEE Transactions on Power Electronics.

[20]  Christian Fleischer,et al.  Critical review of the methods for monitoring of lithium-ion batteries in electric and hybrid vehicles , 2014 .

[21]  Azah Mohamed,et al.  A review of lithium-ion battery state of charge estimation and management system in electric vehicle applications: Challenges and recommendations , 2017 .

[22]  Terry Hansen,et al.  Support vector based battery state of charge estimator , 2005 .

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

[24]  Miroslav Krstic,et al.  PDE estimation techniques for advanced battery management systems — Part I: SOC estimation , 2012, 2012 American Control Conference (ACC).

[25]  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.

[26]  Gregory L. Plett,et al.  Sigma-point Kalman filtering for battery management systems of LiPB-based HEV battery packs Part 2: Simultaneous state and parameter estimation , 2006 .

[27]  Bo Gao,et al.  Energy Management in Plug-in Hybrid Electric Vehicles: Recent Progress and a Connected Vehicles Perspective , 2017, IEEE Transactions on Vehicular Technology.

[28]  Gregory L. Plett,et al.  Sigma-point Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 1: Introduction and state estimation , 2006 .

[29]  Andreas Jossen,et al.  Validation and benchmark methods for battery management system functionalities: State of charge estimation algorithms , 2016 .

[30]  Ali Emadi,et al.  Comparison of Kalman Filter-based state of charge estimation strategies for Li-Ion batteries , 2016, 2016 IEEE Transportation Electrification Conference and Expo (ITEC).

[31]  Shengbo Eben Li,et al.  Combined State of Charge and State of Health estimation over lithium-ion battery cell cycle lifespan for electric vehicles , 2015 .

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

[33]  Simon Schwunk,et al.  Particle filter for state of charge and state of health estimation for lithium–iron phosphate batteries , 2013 .

[34]  Dirk Uwe Sauer,et al.  A study on the dependency of the open-circuit voltage on temperature and actual aging state of lithium-ion batteries , 2017 .

[35]  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 .

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

[37]  Andreas Jossen,et al.  Temperature Influences on State and Parameter Estimation Based on a Dual Kalman Filter , 2014 .

[38]  Huazhen Fang,et al.  Adaptive Estimation of the State of Charge for Lithium-Ion Batteries: Nonlinear Geometric Observer Approach , 2015, IEEE Transactions on Control Systems Technology.

[39]  Dongpu Cao,et al.  Condition Monitoring in Advanced Battery Management Systems: Moving Horizon Estimation Using a Reduced Electrochemical Model , 2018, IEEE/ASME Transactions on Mechatronics.

[40]  Lei Lin,et al.  An accurate SOC estimation system for lithium-ion batteries by EKF with dynamic noise adjustment , 2015, 2015 15th International Symposium on Communications and Information Technologies (ISCIT).

[41]  M. Broussely,et al.  Main aging mechanisms in Li ion batteries , 2005 .

[42]  Jae Sik Chung,et al.  A Multiscale Framework with Extended Kalman Filter for Lithium-Ion Battery SOC and Capacity Estimation , 2010 .

[43]  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 .

[44]  Karsten Propp,et al.  Kalman-variant estimators for state of charge in lithium-sulfur batteries , 2017 .

[45]  Massimo Santarelli,et al.  Cycle aging studies of lithium nickel manganese cobalt oxide-based batteries using electrochemical impedance spectroscopy , 2018 .

[46]  Markus Lienkamp,et al.  Parameter Estimation of Traction Batteries by Energy and Charge Counting during Reference Cycles , 2017, 2017 IEEE 86th Vehicular Technology Conference (VTC-Fall).

[47]  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.

[48]  Andreas Jossen,et al.  A comparative study and review of different Kalman filters by applying an enhanced validation method , 2016 .

[49]  Michael Buchholz,et al.  On-board state-of-health monitoring of lithium-ion batteries using linear parameter-varying models , 2013 .

[50]  Jianqiu Li,et al.  A review on the key issues for lithium-ion battery management in electric vehicles , 2013 .

[51]  Josep M. Guerrero,et al.  Battery state-of-charge and parameter estimation algorithm based on Kalman filter , 2013, Eurocon 2013.

[52]  Simona Onori,et al.  Lithium-ion batteries life estimation for plug-in hybrid electric vehicles , 2009, 2009 IEEE Vehicle Power and Propulsion Conference.

[53]  Stephen Duncan,et al.  Observability Analysis and State Estimation of Lithium-Ion Batteries in the Presence of Sensor Biases , 2015, IEEE Transactions on Control Systems Technology.

[54]  Ping Shen,et al.  State of Charge, State of Health and State of Function Co-Estimation of Lithium-Ion Batteries for Electric Vehicles , 2016, 2016 IEEE Vehicle Power and Propulsion Conference (VPPC).

[55]  Shi Li,et al.  A comparative study of model-based capacity estimation algorithms in dual estimation frameworks for lithium-ion batteries under an accelerated aging test , 2018 .

[56]  Shengbo Eben Li,et al.  Advanced Machine Learning Approach for Lithium-Ion Battery State Estimation in Electric Vehicles , 2016, IEEE Transactions on Transportation Electrification.

[57]  Markus Lienkamp,et al.  Parameter variations within Li-Ion battery packs – Theoretical investigations and experimental quantification , 2018, Journal of Energy Storage.

[58]  Andreas Jossen,et al.  Influence of change in open circuit voltage on the state of charge estimation with an extended Kalman filter , 2017 .

[59]  Chenbin Zhang,et al.  A method for joint estimation of state-of-charge and available energy of LiFePO4 batteries , 2014 .

[60]  Dirk Uwe Sauer,et al.  Adaptive approach for on-board impedance parameters and voltage estimation of lithium-ion batteries in electric vehicles , 2015 .

[61]  Georg Walder,et al.  Adaptive State and Parameter Estimation of Lithium-Ion Batteries based on a Dual Linear Kalman Filter , 2014 .

[62]  Michael Buchholz,et al.  State-of-health monitoring of lithium-ion batteries in electric vehicles by on-board internal resistance estimation , 2011 .

[63]  Pierluigi Pisu,et al.  Nonlinear Robust Observers for State-of-Charge Estimation of Lithium-Ion Cells Based on a Reduced Electrochemical Model , 2015, IEEE Transactions on Control Systems Technology.

[64]  S. Lux,et al.  Impedance change and capacity fade of lithium nickel manganese cobalt oxide-based batteries during calendar aging , 2017 .

[65]  D. Sauer,et al.  Application-specific electrical characterization of high power batteries with lithium titanate anodes for electric vehicles , 2016 .

[66]  Jonghoon Kim,et al.  Pattern Recognition for Temperature-Dependent State-of-Charge/Capacity Estimation of a Li-ion Cell , 2013, IEEE Transactions on Energy Conversion.

[67]  M. Wohlfahrt‐Mehrens,et al.  Ageing mechanisms in lithium-ion batteries , 2005 .

[68]  Wei He,et al.  State of charge estimation for electric vehicle batteries using unscented kalman filtering , 2013, Microelectron. Reliab..

[69]  Il-Song Kim,et al.  Nonlinear State of Charge Estimator for Hybrid Electric Vehicle Battery , 2008, IEEE Transactions on Power Electronics.

[70]  Jiahao Li,et al.  A comparative study of state of charge estimation algorithms for LiFePO4 batteries used in electric vehicles , 2013 .

[71]  Wei Sun,et al.  A modified model based state of charge estimation of power lithium-ion batteries using unscented Kalman filter , 2014 .