Butler–Volmer-Equation-Based Electrical Model for High-Power Lithium Titanate Batteries Used in Electric Vehicles

The lithium titanate battery, which uses Li4Ti5O12 (LTO) as its anode instead of graphite, is a promising candidate for fast charging and power assist vehicular applications due to its attractive battery performance in rate characteristics and chemical stability. Unfortunately, commonly used battery models, including a large number of enhanced electrical models, become problematic when describing current-voltage characteristics of lithium titanate batteries. In this paper, a novel Butler-Volmer equation-based electric model is employed to outline unique phenomena induced by changing rates for high-power lithium titanate batteries. The robustness of the proposed model for three types of lithium titanate batteries under varying loading conditions, including galvanostatic test and Federal Urban Dynamic Schedule test, is evaluated and compared against experimental data. The experimental results of three types of lithium titanate batteries with common anode materials but differentiated cathode materials show good agreement with the model estimation results with maximum voltage errors below 2%.

[1]  Federico Baronti,et al.  Online Adaptive Parameter Identification and State-of-Charge Coestimation for Lithium-Polymer Battery Cells , 2014, IEEE Transactions on Industrial Electronics.

[2]  K. Tsang,et al.  Identification and modelling of Lithium ion battery , 2010 .

[3]  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.

[4]  Jiuchun Jiang,et al.  Investigation of path dependence in commercial lithium-ion cells for pure electric bus applications: Aging mechanism identification , 2015 .

[5]  Hui Li,et al.  Modeling of Li$_{x}$FePO$_{4}$ Cathode Li-Ion Batteries Using Linear Electrical Circuit Model , 2013, IEEE Transactions on Sustainable Energy.

[6]  Xiaosong Hu,et al.  Model-Based Dynamic Power Assessment of Lithium-Ion Batteries Considering Different Operating Conditions , 2014, IEEE Transactions on Industrial Informatics.

[7]  P. Palacharla,et al.  Modeling and simulation of lithium-ion battery with hysteresis for industrial applications , 2013, 2013 International Conference on Energy Efficient Technologies for Sustainability.

[8]  H. Hamelers,et al.  Butler-Volmer-Monod model for describing bio-anode polarization curves. , 2011, Bioresource technology.

[9]  J. Bernard,et al.  Simplified Electrochemical and Thermal Model of LiFePO4-Graphite Li-Ion Batteries for Fast Charge Applications , 2012 .

[10]  Qiujiang Liu,et al.  Evaluation of Acceptable Charging Current of Power Li-Ion Batteries Based on Polarization Characteristics , 2014, IEEE Transactions on Industrial Electronics.

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

[12]  Karim Zaghib,et al.  Evaluation of lithium ion cells with titanate negative electrodes and iron phosphate positive electrode for start–stop applications , 2014 .

[13]  J. Vetter,et al.  OCV Hysteresis in Li-Ion Batteries including Two-Phase Transition Materials , 2011 .

[14]  Xiaosong Hu,et al.  A comparative study of equivalent circuit models for Li-ion batteries , 2012 .

[15]  Mehdi Gholizadeh,et al.  Estimation of State of Charge, Unknown Nonlinearities, and State of Health of a Lithium-Ion Battery Based on a Comprehensive Unobservable Model , 2014, IEEE Transactions on Industrial Electronics.

[16]  Keizoh Honda,et al.  High-power and long-life lithium-ion batteries using lithium titanium oxide anode for automotive and stationary power applications , 2013 .

[17]  Remus Teodorescu,et al.  Selection and Performance-Degradation Modeling of LiMO$_{2}$/Li$_{4}$Ti$_{5}$O $_{12}$ and LiFePO $_{4}$/C Battery Cells as Suitable Energy Storage Systems for Grid Integration With Wind Power Plants: An Example for the Primary Frequency Regulation Service , 2014, IEEE Transactions on Sustainable Energy.

[18]  Yuan Zou,et al.  Comparison between two model-based algorithms for Li-ion battery SOC estimation in electric vehicles , 2013, Simul. Model. Pract. Theory.

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

[20]  Mohammad Farrokhi,et al.  State-of-Charge Estimation for Lithium-Ion Batteries Using Neural Networks and EKF , 2010, IEEE Transactions on Industrial Electronics.

[21]  C. Kral,et al.  Comparison, Selection, and Parameterization of Electrical Battery Models for Automotive Applications , 2013, IEEE Transactions on Power Electronics.

[22]  B. Davat,et al.  Energetical Modeling of Lithium-Ion Batteries Including Electrode Porosity Effects , 2010, IEEE Transactions on Energy Conversion.

[23]  Zhe Li,et al.  Temperature Characteristics of Power LiFePO4 Batteries , 2011 .

[24]  Hamid Sharif,et al.  An enhanced circuit-based model for single-cell battery , 2010, 2010 Twenty-Fifth Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[25]  Li Xiaogang Characteristic on internal resistance of lithium-ion power battery , 2011 .

[26]  J. Bernard,et al.  Simplified Electrochemical and Thermal Model of LiFePO4-Graphite Li-Ion Batteries for Fast Charge Applications , 2012 .

[27]  Suresh G. Advani,et al.  Thermal analysis and management of lithium-titanate batteries , 2011 .

[28]  Luciano Sánchez,et al.  An Equivalent Circuit Model With Variable Effective Capacity for $\hbox{LiFePO}_{4}$ Batteries , 2014, IEEE Transactions on Vehicular Technology.

[29]  Issa Batarseh,et al.  A hysteresis model for a Lithium battery cell with improved transient response , 2011, 2011 Twenty-Sixth Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[30]  T. M. Jahns,et al.  Improved Nonlinear Model for Electrode Voltage–Current Relationship for More Consistent Online Battery System Identification , 2013, IEEE Transactions on Industry Applications.

[31]  Nik Rumzi Nik Idris,et al.  Electrical model to predict current–voltage behaviours of lithium ferro phosphate batteries using a transient response correction method , 2013 .

[32]  Mohammad Farrokhi,et al.  Online State-of-Health Estimation of VRLA Batteries Using State of Charge , 2013, IEEE Transactions on Industrial Electronics.

[33]  Ouyang Minggao Temperature Characteristics of Power LiFePO_4 Batteries , 2011 .

[34]  Pavol Bauer,et al.  A practical circuit-based model for Li-ion battery cells in electric vehicle applications , 2011, 2011 IEEE 33rd International Telecommunications Energy Conference (INTELEC).

[35]  J. C. Amphlett,et al.  Application of Butler–Volmer equations in the modelling of activation polarization for PEM fuel cells , 2006 .

[36]  Abdellatif Miraoui,et al.  Multiphysical Lithium-Based Battery Model for Use in State-of-Charge Determination , 2012, IEEE Transactions on Vehicular Technology.

[37]  John McPhee,et al.  A survey of mathematics-based equivalent-circuit and electrochemical battery models for hybrid and electric vehicle simulation , 2014 .

[38]  T. Kim,et al.  A Hybrid Battery Model Capable of Capturing Dynamic Circuit Characteristics and Nonlinear Capacity Effects , 2011, IEEE Transactions on Energy Conversion.