Novel Mesoscale Electrothermal Modeling for Lithium-Ion Batteries

This paper devises an innovative mesoscale electrothermal model for Li-ion batteries. This model manipulates the mesoscale calculation grid in finite element analysis as independent small cell sandwiches and establishes a lumped equivalent circuit model for each cell sandwich. Then, such electrical models are arranged in parallel to form a multilayer equivalent circuit to simulate electrical characteristics of a whole battery, through capturing the current and terminal voltage of each constituent cell sandwich. This modeling idea overcomes the entrenched disadvantage of heat generation models with lumped parameters, i.e., the unavailability of heat generation distribution inside a battery. Besides the current and terminal voltage, the temperature and state of charge dependent open-circuit voltage and entropy coefficient are incorporated into a Newman's heat generation model to estimate the heat generated in the calculation grid. The battery temperature distribution is eventually derived by solving the heat conduction equation with thermal conductivity as a function of the battery temperature. We leverage the developed electrothermal model to track the temperature evolution of an 18 650 Li-ion battery at different ambient temperatures and discharge rates, for the first time. Experimental results demonstrate that the electrothermal model can precisely emulate the battery thermal dynamics with an average error of 0.72 °C. Moreover, a comparative study shows that the proposed model outperforms common resistance-based thermal models that do not consider the heat generation distribution and the interdependence between the battery temperature and thermal conductivity.

[1]  Ralph E. White,et al.  New Separation of Variables Method for Composite Electrodes With Galvanostatic Boundary Conditions , 2001 .

[2]  J. Newman,et al.  Thermal Modeling of Porous Insertion Electrodes , 2003 .

[3]  Donald J. Cleland,et al.  A new approach to modelling the effective thermal conductivity of heterogeneous materials , 2006 .

[4]  D. Hasselman,et al.  Effective Thermal Conductivity of Composites with Interfacial Thermal Barrier Resistance , 1987 .

[5]  Koichi Nakamura On the diffusion of Li+ defects in LiCoO2 and LiNiO2 , 2000 .

[6]  Hui Yang,et al.  Determination of the Reversible and Irreversible Heats of a LiNi0.8Co0.15Al0.05 O 2/Natural Graphite Cell Using Electrochemical-Calorimetric Technique , 2004 .

[7]  Dirk Uwe Sauer,et al.  Spatially resolved model for lithium-ion batteries for identifying and analyzing influences of inhomogeneous stress inside the cells , 2009, 2009 IEEE Vehicle Power and Propulsion Conference.

[8]  Rachel E. Gerver,et al.  Three-Dimensional Modeling of Electrochemical Performance and Heat Generation of Lithium-Ion Batteries in Tabbed Planar Configurations , 2011 .

[9]  John Newman,et al.  A General Energy Balance for Battery Systems , 1984 .

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

[11]  Jason B. Siegel,et al.  A lumped-parameter electro-thermal model for cylindrical batteries , 2014 .

[12]  Li Jia,et al.  A pseudo three-dimensional electrochemical–thermal model of a prismatic LiFePO4 battery during discharge process , 2015 .

[13]  Ralph E. White,et al.  Review of Models for Predicting the Cycling Performance of Lithium Ion Batteries , 2006 .

[14]  Fei Feng,et al.  A novel resistance‐based thermal model for lithium‐ion batteries , 2018, International Journal of Energy Research.

[15]  Yonghuang Ye,et al.  Electrochemical–thermal analysis of 18650 Lithium Iron Phosphate cell , 2013 .

[16]  John N. Harb,et al.  Mathematical model of the discharge behavior of a spirally wound lead-acid cell , 1999 .

[17]  Meng Guo,et al.  Mathematical Model for a Spirally-Wound Lithium-Ion Cell , 2014 .

[18]  T. Fuller,et al.  A Critical Review of Thermal Issues in Lithium-Ion Batteries , 2011 .

[19]  Stefan Pischinger,et al.  Thermal analysis of a Li‐ion battery module under realistic EV operating conditions , 2013 .

[20]  Mehrdad Saif,et al.  Electrochemical–Thermal Model of Pouch-type Lithium-ion Batteries , 2017 .

[21]  Ralph E. White,et al.  Single-Particle Model for a Lithium-Ion Cell: Thermal Behavior , 2011 .

[22]  Vinay Kumar,et al.  Electrochemical model based condition monitoring of a Li-ion battery using fuzzy logic , 2014 .

[23]  Fan He,et al.  Combined experimental and numerical study of thermal management of battery module consisting of multiple Li-ion cells , 2014 .

[24]  Özgür Ekici,et al.  3-D CFD modeling and experimental testing of thermal behavior of a Li-Ion battery , 2017 .

[25]  Tang Yiwei,et al.  Study of the thermal properties during the cyclic process of lithium ion power batteries using the electrochemical-thermal coupling model , 2018, Applied Thermal Engineering.

[26]  Zhenpo Wang,et al.  Finite Element Thermal Model and Simulation for a Cylindrical Li-Ion Battery , 2017, IEEE Access.

[27]  Jiyun Zhao,et al.  Thermal issues about Li-ion batteries and recent progress in battery thermal management systems: A review , 2017 .

[28]  S. C. Chen,et al.  Thermal analysis of lithium-ion batteries , 2005 .

[29]  Li Jia,et al.  Investigation on lithium-ion battery electrochemical and thermal characteristic based on electrochemical-thermal coupled model , 2018, Applied Thermal Engineering.

[30]  James K. Carson,et al.  Thermal conductivity bounds for isotropic, porous materials , 2005 .

[31]  A. M. Skundin,et al.  The effect of temperature on lithium intercalation into carbon materials , 1998 .

[32]  Chaoyang Wang,et al.  Control oriented 1D electrochemical model of lithium ion battery , 2007 .

[33]  T. L. Kulova,et al.  Temperature effect on the lithium diffusion rate in graphite , 2006 .

[34]  J. Christensen,et al.  An Efficient Parallelizable 3D Thermoelectrochemical Model of a Li-Ion Cell , 2013 .

[35]  Shaoyang He,et al.  LBM prediction of effective thermal conductivity of lithium-ion battery graphite anode , 2017 .

[36]  Giovanni Fiengo,et al.  Lithium-ion battery state of charge estimation with a Kalman Filter based on a electrochemical model , 2008, 2008 IEEE International Conference on Control Applications.