A novel thermal swelling model for a rechargeable lithium-ion battery cell

Abstract The thermal swelling of rechargeable lithium-ion battery cells is investigated as a function of the charge state and the charge/discharge rate. The thermal swelling shows significant dependency on the state of charge and the charge rate. The thermal swelling follows a quadratic form at low temperatures, and shows linear characteristics with respect to temperature at high temperatures in free-swelling conditions. Moreover, the equivalent coefficient of thermal expansion is much larger than that of each electrode and host materials, suggesting that the separator and the complex shape of the cell play a critical role in thermal expansion. Based on the experimental characterization, a novel thermal swelling model is proposed. The model introduces an equivalent coefficient of thermal expansion for the cell and also considers the temperature distribution throughout the battery by using heat transfer theory. The comparison between the proposed model and experiments demonstrates that the model accurately predicts thermal swelling at a variety of charge/discharge rates during operation and relaxation periods. The model is relatively simple yet very accurate. Hence, it can be useful for battery management applied to prolong the cycle life of cells and packs.

[1]  Tsutomu Ohzuku,et al.  Formation of Lithium‐Graphite Intercalation Compounds in Nonaqueous Electrolytes and Their Application as a Negative Electrode for a Lithium Ion (Shuttlecock) Cell , 1993 .

[2]  Ningxin Zhang,et al.  Dissecting anode swelling in commercial lithium-ion batteries , 2012 .

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

[4]  J. Sugiyamat,et al.  Elastic/anelastic behaviour during the phase transition in spinel LiMn2O4 , 1995 .

[5]  Gan Ning,et al.  Capacity fade study of lithium-ion batteries cycled at high discharge rates , 2003 .

[6]  Chaoyang Wang,et al.  Analysis of Electrochemical and Thermal Behavior of Li-Ion Cells , 2003 .

[7]  Tsutomu Ohzuku,et al.  Crystal and electronic structures of superstructural Li1−x[Co1/3Ni1/3Mn1/3]O2 (0≤x≤1) , 2003 .

[8]  James W. Evans,et al.  Thermal Analysis of Lithium‐Ion Batteries , 1996 .

[9]  Yue Qi,et al.  Threefold Increase in the Young’s Modulus of Graphite Negative Electrode during Lithium Intercalation , 2010 .

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

[11]  Pradeep R. Guduru,et al.  In situ measurement of biaxial modulus of Si anode for Li-ion batteries , 2010 .

[12]  J. H. Cole,et al.  Frequency and temperature dependence of elastic moduli of polymers , 1986 .

[13]  J. Fischer,et al.  Statics and dynamics of interlayer interactions in the dense high-pressure graphite compoundLiC2 , 1998 .

[14]  B. Scrosati,et al.  Lithium batteries: Status, prospects and future , 2010 .

[15]  Max Donath,et al.  American Control Conference , 1993 .

[16]  Yi Ding,et al.  The Estimation of Temperature Distribution in Cylindrical Battery Cells Under Unknown Cooling Conditions , 2014, IEEE Transactions on Control Systems Technology.

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

[18]  D. Lacks,et al.  Simulation of the temperature dependence of mechanical properties of polyethylene , 1994 .

[19]  Sonya Zanardelli,et al.  Validation of a Thermal-Electric Li-Ion Battery Model , 2012 .

[20]  Shankar Mohan,et al.  A Phenomenological Model of Bulk Force in a Li-Ion Battery Pack and Its Application to State of Charge Estimation , 2014 .

[21]  F. V. Conte,et al.  Battery and battery management for hybrid electric vehicles: a review , 2006, Elektrotech. Informationstechnik.

[22]  Mao-Sung Wu,et al.  Heat dissipation design for lithium-ion batteries , 2002 .

[23]  Yoshitsugu Sone,et al.  Understanding Volume Change in Lithium-Ion Cells during Charging and Discharging Using In Situ Measurements , 2007 .

[24]  Dahn,et al.  Phase diagram of LixC6. , 1991, Physical review. B, Condensed matter.

[25]  Yi Ding,et al.  Online Parameterization of Lumped Thermal Dynamics in Cylindrical Lithium Ion Batteries for Core Temperature Estimation and Health Monitoring , 2013, IEEE Transactions on Control Systems Technology.

[26]  Yoshitsugu Sone,et al.  In Situ Investigation of the Volume Change in Li-ion Cell with Charging and Discharging Satellite Power Applications , 2004 .

[27]  S. Komaba,et al.  High temperature X-ray diffractive study of spinel-type lithium manganese oxides , 2008 .

[28]  C. Wan,et al.  Thermal Analysis of Spirally Wound Lithium Batteries , 2006 .

[29]  T. Araki,et al.  Thermal behavior of small lithium-ion battery during rapid charge and discharge cycles , 2006 .

[30]  Yvan Reynier,et al.  Thermodynamics and crystal structure anomalies in lithium-intercalated graphite , 2006 .

[31]  H. Nozaki,et al.  Thermal expansion in lithium manganese oxide spinels Li[LixMn2−x]O4 with 0 ≤ x ≤ 1/3 , 2013 .

[32]  Lester B. Lave,et al.  An environmental-economic evaluation of hybrid electric vehicles: Toyota's Prius vs. its conventional internal combustion engine Corolla , 2002 .

[33]  W. Craig Carter,et al.  Microstructural Modeling and Design of Rechargeable Lithium-Ion Batteries , 2005 .

[34]  Jae-Hyun Lee,et al.  Battery dimensional changes occurring during charge/discharge cycles—thin rectangular lithium ion and polymer cells , 2003 .

[35]  Shaohua Lin,et al.  A Foster Network Thermal Model for HEV/EV Battery Modeling , 2011, IEEE Transactions on Industry Applications.

[36]  Aldo Sorniotti,et al.  Power split strategies for hybrid energy storage systems for vehicular applications , 2014 .

[37]  J. Selman,et al.  Thermal management of Li-ion battery with phase change material for electric scooters: experimental validation , 2005 .

[38]  Frank Tietz,et al.  Thermal expansion of SOFC materials , 1999 .

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

[40]  K. Onda,et al.  Experimental Study on Heat Generation Behavior of Small Lithium-Ion Secondary Batteries , 2003 .

[41]  Anna G. Stefanopoulou,et al.  Rate dependence of swelling in lithium-ion cells , 2014 .