Research Papers

Coupled Numerical Approach for Automotive Battery Pack Lifetime Estimates With Thermal Management

[+] Author and Article Information
K. Darcovich

Energy, Mining and Environment Portfolio,
National Research Council of Canada,
Ottawa, ON K1A 0R6, Canada
e-mail: ken.darcovich@nrc-cnrc.gc.ca

D. D. MacNeil, S. Recoskie

Energy, Mining and Environment Portfolio,
National Research Council of Canada,
Ottawa, ON K1A 0R6, Canada

Q. Cadic

75 Avenue de Grande Bretagne,
Toulouse 31300, France

F. Ilinca

Automotive and Surface Transportation Portfolio,
National Research Council of Canada,
Boucherville, QC J4B 6Y4, Canada

B. Kenney

Dana Canada Corp.,
656 Kerr Street,
Oakville, ON L6K 3E4, Canada

1Corresponding author.

Manuscript received October 18, 2016; final manuscript received September 5, 2017; published online February 6, 2018. Assoc. Editor: Jan Van Herle.This work was prepared while under employment by the Government of Canada as part of the official duties of the author(s) indicated above, as such copyright is owned by that Government, which reserves its own copyright under national law.

J. Electrochem. En. Conv. Stor. 15(2), 021004 (Feb 06, 2018) (12 pages) Paper No: JEECS-16-1140; doi: 10.1115/1.4038631 History: Received October 18, 2016; Revised September 05, 2017

This study combined a simple two-dimensional (2D) finite volume model (Kim model), which employs Ohm's law along with charge conservation over the electrodes and Butler–Volmer charge transfer kinetics for prismatic battery cells coupled with the single particle model (SPM) in order to model the thermal state of automotive battery packs. The objective here was to determine the effects of liquid cooling applied to the packs under standard driving cycles. A model developed by Kim provided a means for determining a nonuniform current distribution over the surface of the current collectors. The Kim model is based on the application of Ohm's law over a conducting medium, with empirical source terms representing current flowing into or out of an adjacent electrode layer. Here, a modeling advance is presented where empirical source terms in the Kim model were replaced with ones based on the chemistry and physics occurring inside the battery. As such, fundamental battery function was imparted to the model by integrating the SPM into the 2D finite volume Kim model. The 2D procedure described above was carried out on electrode sheets at different positions inside the cell, and determined thermal generation values that were mapped volumetrically into a heat transfer simulation, which, in turn, updated the electrochemical simulation. Capacity fade kinetics were determined by fitting experimental data to simulated results. With time-temperature profiles produced as described above for different pack cooling levels and varying degrees of cell degradation, a basic SPM simulation was then used with thermal overlays to estimate automotive cell life under various driving scenarios and various cooling levels. With these simulations, scenarios representing different thermal management regimes along with driving behavior were able to show the combined impact on automotive battery pack lifetimes.

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Hannan, M. A. , Azidin, F. A. , and Mohamed, A. , 2014, “Hybrid Electric Vehicles and Their Challenges: A Review,” Renewable Sustainable Energy Rev., 29, pp. 135–150. [CrossRef]
Yilmaz, M. , and Krein, P. T. , 2013, “Review of Battery Charger Topologies, Charging Power Levels, and Infrastructure for Plug-In Electric and Hybrid Vehicles,” IEEE Trans. Power Electron., 28(5), pp. 2151–2169. [CrossRef]
Barré, A. , Deguilhem, B. , Grolleau, S. , Gérard, M. , Suard, F. , and Riu, D. , 2013, “A Review on Lithium-Ion Battery Ageing Mechanisms and Estimations for Automotive Applications,” J. Power Sources, 241, pp. 680–689. [CrossRef]
Lu, L. , Han, X. , Li, J. , Hua, J. , and Ouyang, M. , 2013, “A Review on the Key Issues for Lithium-Ion Battery Management in Electric Vehicles,” J. Power Sources, 226, pp. 272–288. [CrossRef]
Saw, L. H. , Ye, Y. , Tay, A. A. O. , Chong, W. T. , Kuan, S. H. , and Yew, M. C. , 2016, “Computational Fluid Dynamic and Thermal Analysis of Lithium-Ion Battery Pack With Air Cooling,” Appl. Energy, 177, pp. 783–792. [CrossRef]
Xu, X. M. , and He, R. , 2013, “Research on the Heat Dissipation Performance of Battery Pack Based on Forced Air Cooling,” J. Power Sources, 240, pp. 33–41. [CrossRef]
Jarrett, A. , and Kim, I. Y. , 2011, “Design Optimization of Electric Vehicle Battery Cooling Plates for Thermal Performance,” J. Power Sources, 196(23), pp. 10359–10368. [CrossRef]
Giuliano, M. R. , Advani, S. G. , and Prasad, A. K. , 2011, “Thermal Analysis and Management of Lithium-Titanate Batteries,” J. Power Sources, 196(15), pp. 6517–6524. [CrossRef]
Yeow, K. , Teng, H. , Thelliez, M. , and Tan, E. , 2012, “Thermal Analysis of a Li-Ion Battery System With Indirect Liquid Cooling Using Finite Element Analysis Approach,” SAE Int. J. Altern. Powertrains, 1(1), pp. 65–78. [CrossRef]
Teng, H. , and Yeow, K. , 2012, “Design of Direct and Indirect Liquid Cooling Systems for High-Capacity, High-Power Lithium-Ion Battery Packs,” SAE Int. J. Altern. Powertrains, 1(2), pp. 525–536. [CrossRef]
Yen, E. , Chen, K.-H. , Han, T. , and Khalighi, B. , 2016, “Application of CAEBAT Full Field Approach for a Liquid-Cooled Automotive Battery Pack,” SAE Paper No. 2016-01-1217.
Agubra, V. , and Fergus, J. , 2013, “Lithium Ion Battery Anode Aging Mechanisms,” Materials, 6(4), pp. 1310–1325. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5452304/
Smith, K. , Wood, E. , Santhanagopalan, S. , Kim, G.-H. , and Pesaran, A. , 2014, “Advanced Models and Controls for Prediction and Extension of Battery Lifetime,” Advanced Automotive Battery Conference, Atlanta, GA, Feb. 4–6, p. 25. https://www.nrel.gov/docs/fy14osti/61037.pdf
Marano, V. , Onori, S. , Guezennec, Y. , Rizzoni, G. , and Madella, N. , 2009, “Lithium-Ion Batteries Life Estimation for Plug-In Hybrid Electric Vehicles,” IEEE Vehicle Power and Propulsion Conference (VPPC), Dearborn, MI, Sept. 7–10, pp. 536–543.
Lunz, B. , Yan, Z. , Gerschler, J. B. , and Sauer, D. U. , 2012, “Influence of Plug-In Hybrid Electric Vehicle Charging Strategies on Charging and Battery Degradation Costs,” Energy Policy, 46, pp. 511–519. [CrossRef]
Peterson, S. B. , Apt, J. , and Whitacre, J. F. , 2010, “Lithium-Ion Battery Cell Degradation Resulting From Realistic Vehicle and Vehicle-to-Grid Utilization,” J. Power Sources, 195(8), pp. 2385–2392. [CrossRef]
Darcovich, K. , Recoskie, S. , Ribberink, H. , Pincet, F. , and Foissac, A. , 2017, “Effect on Battery Life of Vehicle-to-Home Electric Power Provision Under Canadian Residential Electrical Demand,” Appl. Therm. Eng., 114, pp. 1515–1522. [CrossRef]
Kwon, K. H. , Shin, C. B. , Kang, T. H. , and Kim, C. S. , 2006, “A Two-Dimensional Modeling of a Lithium-Polymer Battery,” J. Power Sources, 163(1), pp. 151–157. [CrossRef]
Kim, U. S. , Shin, C. B. , and Kim, C. S. , 2008, “Effect of Electrode Configuration on the Thermal Behavior of a Lithium-Polymer Battery,” J. Power Sources, 180(2), pp. 909–916. [CrossRef]
Kim, U. S. , Shin, C. B. , and Kim, C. S. , 2009, “Modeling for the Scale-Up of a Lithium-Ion Polymer Battery,” J. Power Sources, 189(1), pp. 841–846. [CrossRef]
Kim, U. S. , Yi, J. , Shin, C. B. , Han, T. , and Park, S. , 2011, “Modelling the Thermal Behaviour of a Lithium-Ion Battery During Charge,” J. Power Sources, 196(11), pp. 5115–5121. [CrossRef]
Ning, G. , and Popov, B. N. , 2004, “Cycle Life Modeling of Lithium-Ion Batteries,” J. Electrochem. Soc., 151(10), pp. A1584–A1591. [CrossRef]
Valoen, L. O. , and Reimers, J. N. , 2005, “Transport Properties of LiPF6-Based Li-Ion Battery Electrolytes,” J. Electrochem. Soc., 152(5), pp. A882–A891. [CrossRef]
Newman, J. , and Tiedemann, W. , 1993, “Potential and Current Distribution in Electrochemical Cells Interpretation of the Half-Cell Voltage Measurements as a Function of Reference Electrode Location,” J. Electrochem. Soc., 140(7), pp. 1961–1968. [CrossRef]
Doyle, M. , Newman, J. , Gozdz, A. S. , Schmutz, C. N. , and J.-M. Tarascon , 1996, “Comparison of Modeling Predictions With Experimental Data From Plastic Lithium Ion Cells,” J. Electrochem. Soc., 143(6), pp. 1890–1903. [CrossRef]
Rahimian, S. K. , Rayman, S. C. , and White, R. E. , 2011, “Comparison of Single Particle and Equivalent Circuit Analog Models for a Lithium-Ion Cell,” J. Power Sources, 196(20), pp. 8450–8462. [CrossRef]
Rahimian, S. K. , Rayman, S. C. , and White, R. E. , 2011, “Optimal Charge Rates for a Lithium Ion Cell,” J. Power Sources, 196(23), pp. 10297–10304. [CrossRef]
Guo, M. , Sikha, G. , and White, R. E. , 2011, “Single-Particle Model for a Lithium-Ion Cell: Thermal Behavior,” J. Electrochem. Soc., 158(2), pp. A122–A132. [CrossRef]
Kenney, B. , Darcovich, K. , MacNeil, D. D. , and Davidson, I. J. , 2012, “Modelling the Impact of Variations in Electrode Manufacturing on Lithium-Ion Battery Modules,” J. Power Sources, 213, pp. 391–401. [CrossRef]
Kumaresan, K. , Sikha, G. , and White, R. E. , 2008, “Thermal Model for a Li-Ion Cell,” J. Electrochem. Soc., 155(2), pp. A164–A171. [CrossRef]
Ning, G. , White, R. , and Popov, B. N. , 2006, “A Generalized Cycle Life Model of Rechargeable Li-Ion Batteries,” Electrochim. Acta, 51(10), pp. 2012–2022. [CrossRef]
Kalhammer, F. R. , Kopf, B. M. , Swan, D. H. , Roan, V. P. , and Walsh, M. P. , 2007, “Status and Prospects for Zero Emissions Vehicle Technology—Report of the ARB Independent Expert Panel,” State of California Air Resources Board, Sacramento, CA, Report. https://www.arb.ca.gov/msprog/zevprog/zevreview/zev_panel_report.pdf
Yun, I. T. , and Chem, L. G. , 2003, “ Product Specification, Rechargeable Lithium Ion Battery,” LG Chem, Seoul, South Korea, Model No. ICR18650S2 2200 mA. http://www.monstercells.com/pdf/li-ion/2200-18650.pdf
Arbin Instruments, 2000, “Testing System User Manual, Version of 6 March 2000,” Arbin Instruments, College Station, TX, pp. 7–35.
Pollet, B. G. , Staffell, I. , and Shang, J. L. , 2012, “Current Status of Hybrid, Battery and Fuel Cell Electric Vehicles: From Electrochemistry to Market Prospects,” Electrochim. Acta, 84(1), pp. 235–249. [CrossRef]
Powell , A. C., IV , and Arroyave, R. , 2008, “Open Source Software for Materials and Process Modeling,” JOM, 60(5), pp. 32–39. [CrossRef]
Wu, B. , Yufit, V. , Marinescu, M. , Offer, G. J. , Martinez-Botas, R. F. , and Brandon, N. P. , 2013, “Coupled Thermal-Electrochemical Modelling of Uneven Heat Generation in Lithium-Ion Battery Packs,” J. Power Sources, 243, pp. 544–554. [CrossRef]
Yi, J. , Kim, U. S. , Shin, C. B. , Han, T. , and Park, S. , 2013, “Three-Dimensional Thermal Modeling of a Lithium-Ion Battery Considering the Combined Effects of the Electrical and Thermal Contact Resistances Between Current Collecting Tab and Lead Wire,” J. Electrochem. Soc., 160(3), pp. A437–A443. [CrossRef]
U.S. Environmental Protection Agency, “Emission Standards Reference Guide for On-Road and Nonroad Vehicles and Engines,” U.S. Environmental Protection Agency, Ann Arbor, MI, accessed Jan. 19, 2017, https://www.epa.gov/emission-standards-reference-guide
Ilinca, F. , Darcovich, K. , Recoskie, S. , Kenney, B. , and MacNeil, D. D. , 2016, “Pack Level Thermal Modeling of Prismatic Li-Ion Batteries,” Numer. Heat Transfer, Part A (in press).
Ribberink, H. , Darcovich, K. , and Pincet, F. , 2015, “Battery Life Impact of Vehicle-to-Grid Application of Electric Vehicles,” 28th International Electric Vehicle Symposium and Exhibition (EVS), Goyang, Korea, May 3–6, pp. 1535–1545. http://www.evs28.org/event_file/event_file/1/pfile/EVS28_Hajo_Ribberink_Battery_Life_Impact_of_V2G.pdf


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Fig. 1

Schematic of the two coupled electrode domains required for the numerical implementation of the Kim model

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Fig. 2

Long-term cycling data obtained for determining capacity fade parameters. The parametric scale is given in ° C.

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Fig. 3

Schematic of the method to couple the Kim–SPM electrochemical battery model with a thermal simulation

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Fig. 4

Prismatic cell configuration reference for thermal simulation

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Fig. 5

Reference data for (a) US06 and (b) HWY drive cycles

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Fig. 6

In-house dynamometer data showing current draw on a per cell basis for the 30 Ah cells considered here subjected to a US06 drive cycle

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Fig. 7

Average cell temperatures over 50 km driving for (a) US06 and (b) HWY drive cycles, with cooling level h = 340 W/m2 K for various levels of SOH

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Fig. 8

(a) Maximum cell temperature over 50 km driving as function of cooling effort and (b) maximum temperature gradient within cell for 50 km US06 versus cooling effort

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Fig. 9

Comparison of maximum temperature versus cooling level for a new cell and one at 75% SOH

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Fig. 10

Time-temperature profiles for 50 km of US06 driving with different upper voltage limits

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Fig. 11

Percent original cell capacity versus time for daily 50 km of US06 driving at h = 340 W/(m2 K)

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Fig. 12

Percent original cell capacity versus time for daily 50 km of US06 driving at various cooling levels

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Fig. 13

Percent original cell capacity versus time for daily 50 km of US06 and HWY driving with air and liquid cooling

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Fig. 14

Percent original capacity versus time for liquid cooled automotive cells used for 50 km of daily US06 driving for different upper voltage limits




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