Temperature Rise in Prismatic Polymer Lithium-Ion Batteries: An Analytic Approach

A rigorous three-dimensional analytical model is proposed to investigate thermal response of batteries to transient heat generation during their operation. The modeling is based on integral-transform technique that gives a closed-form solution for the fundamental problem of heat conduction in battery cores with orthotropic thermal conductivities. The method is examined to describe spatial and temporal temperature evolution in a sample prismatic lithium-ion battery (EiG ePLB C020), subjected to transient heat generation in its bulk, and various convective cooling boundary conditions at its surfaces (the most practical case is considered, when surrounding medium is at a constant ambient temperature). The full-field solutions take the form of a rapidly converging triple infinite sum whose leading terms provide a very simple and accurate approximation of the battery thermal behavior. A surface-averaged Biot number has been proposed that can simplify the thermal solutions under certain conditions. The presented analytical model provides a fast yet accurate tool for battery thermal management system designs. CITATION: Taheri, P. and Bahrami, M., "Temperature Rise in Prismatic Polymer Lithium-Ion Batteries: An Analytic Approach," SAE Int. J. Passeng. Cars Electron. Electr. Syst. 5(1):2012, doi:10.4271/2012-01-0334. ____________________________________ Gratis copy for Peyman Taheri Copyright 2012 SAE International E-mailing, copying and internet posting are prohibited Downloaded Wednesday, April 11, 2012 07:34:37 PM

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

[2]  Gi‐Heon Kim,et al.  A three-dimensional thermal abuse model for lithium-ion cells , 2007 .

[3]  J. Newman,et al.  Thermal modeling of the lithium/polymer battery. II: Temperature profiles in a cell stack , 1995 .

[4]  James W. Evans,et al.  The Thermal Stability of Lithium Polymer Batteries , 1998 .

[5]  Frank P. Incropera,et al.  Fundamentals of Heat and Mass Transfer , 1981 .

[6]  John Newman,et al.  Temperature Rise in a Battery Module with Constant Heat Generation , 1995 .

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

[8]  B. Jung,et al.  Mechanism of gas build-up in a Li-ion cell at elevated temperature , 2004 .

[9]  J. C. Jaeger,et al.  Conduction of Heat in Solids , 1952 .

[10]  Stephen Yurkovich,et al.  Electro-thermal battery modeling and identification for automotive applications , 2009 .

[11]  Y. Inui,et al.  Simulation of temperature distribution in cylindrical and prismatic lithium ion secondary batteries , 2007 .

[12]  Transient and Steady-State Temperature Distribution in Foil-Wound Solenoids and Other Electric Apparatus of Rectangular Cross Section , 1966 .

[13]  Kang Xu,et al.  A new approach toward improved low temperature performance of Li-ion battery , 2002 .

[14]  J. Selman,et al.  Thermal modeling of secondary lithium batteries for electric vehicle/hybrid electric vehicle applications , 2002 .

[15]  J. Newman,et al.  Heat‐Generation Rate and General Energy Balance for Insertion Battery Systems , 1997 .

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

[17]  James W. Evans,et al.  Three‐Dimensional Thermal Modeling of Lithium‐Polymer Batteries under Galvanostatic Discharge and Dynamic Power Profile , 1994 .

[18]  S. Chakraborty,et al.  Thermal runaway inhibitors for lithium battery electrolytes , 2006 .

[19]  Said Al-Hallaj,et al.  Active (air-cooled) vs. Passive (PCM) Thermal Management of High Power Li-ion Packs: Limitation of Temperature Rise and Uniformity of Temperature Distribution , 2008 .

[20]  Ralph E. White,et al.  Mathematical modeling of secondary lithium batteries , 2000 .

[21]  Johnsee Lee,et al.  Three‐Dimensional Thermal Modeling of Electric Vehicle Batteries , 1985 .

[22]  L. Rosenhead.  Conduction of Heat in Solids , 1947, Nature.

[23]  James W. Evans,et al.  Heat Transfer Phenomena in Lithium/Polymer‐Electrolyte Batteries for Electric Vehicle Application , 1993 .

[24]  T. Ishihara,et al.  Novel graphite/TiO2 electrochemical cells as a safe electric energy storage system , 2010 .

[25]  U. Kim,et al.  Modeling for the scale-up of a lithium-ion polymer battery , 2009 .

[26]  M. Maeda,et al.  [Heat conduction]. , 1972, Kango kyoshitsu. [Nursing classroom].

[27]  J. Selman,et al.  Active (air-cooled) vs. passive (phase change material) thermal management of high power lithium-ion packs: Limitation of temperature rise and uniformity of temperature distribution , 2008 .