0
Research Papers

Equitable Multi-Objective Optimization Applied to the Design of a Hybrid Electric Vehicle Battery

[+] Author and Article Information
Brian Dandurand

Ph.D. Candidate
e-mail: bdandur@clemson.edu

Paolo Guarneri

Post Doctoral Fellow
e-mail: pguarne@clemson.edu

Georges Fadel

Professor
e-mail: fgeorge@clemson.edu

Margaret M. Wiecek

Professor
e-mail: wmalgor@clemson.edu
Department of Mathematical Sciences,
Clemson University,
Clemson, SC 29634

See Acknowledgment.

1Corresponding author.

Contributed by the Design Automation Committee of ASME for publication in the Journal of Mechanical Design. Manuscript received February 5, 2012; final manuscript received January 28, 2013; published online March 26, 2013. Assoc. Editor: Michael Kokkolaras.

J. Mech. Des 135(4), 041004 (Mar 26, 2013) (8 pages) Paper No: MD-12-1094; doi: 10.1115/1.4023553 History: Received February 05, 2012; Revised January 28, 2013

This work considers the impact of thermal behavior in battery design. The cell performance worsens when the operating temperature falls outside of the ideal range, and evenness of cell temperatures is sought to prevent cell electrical unbalance which may lead to performance fading and premature failure. The heat transfer between the cells and the coolant depends on the cell packaging and layout. A multi-objective optimization model is posed whose Pareto efficient designs minimize cell temperature deviations while maintaining evenness of temperature distribution. The special characteristics of the battery design problem (comparable objectives, anonymity and Pigou–Dalton principle of transfers) make it suitable for the application of the equitability preference, which is a refinement of the Pareto optimality that has not been used in engineering design. The proposed approach based on equitability is applied to compute the spacing of the cylindrical cells in a battery module that yields an optimal thermal behavior.

FIGURES IN THIS ARTICLE
<>
Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.

References

Al-Hallaj, S., and Selman, J. R., 2002, “Thermal Modeling of Secondary Lithium Batteries for Electric Vehicle/Hybrid Electric Vehicle Applications,” J. Power Sources, 110(2), pp. 341–348. [CrossRef]
Bandhauer, T. M., Garimella, S., and Fullerb, T. F., 2011, “A Critical Review of Thermal Issues in Lithium-Ion Batteries,” J. Electrochem. Soc., 158(3), pp. R1–R5. [CrossRef]
Ramadass, P., Haran, B., White, R., and Popov, B. N., 2002, “Capacity Fade of Sony 18650 Cells Cycled at Elevated Temperatures: Part I. Cycling Performance,” J. Power Sources, 112(2), pp. 606–613. [CrossRef]
Ramadass, P., Haran, B., White, R., and Popov, B. N., 2002, “Capacity Fade of Sony 18650 Cells Cycled at Elevated Temperatures: Part II. Capacity Fade Analysis,” J. Power Sources, 112(2), pp. 614–620. [CrossRef]
Zolot, M., Pesaran, A. A., and MihalicM., 2002, “Thermal Evaluation of Toyota Prius Battery Pack,” Proceedings of 2002 Future Car Congress, Arlington, VA, SAE Paper No. 2002-01-1962.
Mahamud, R., and Park, C., 2011, “Reciprocating Air Flow for Li-Ion Battery Thermal Management to Improve Temperature Uniformity,” J. Power Sources, 196(13), pp. 5685–5696. [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]
Al Hallaj, S., and Selman, J. R., 2000, “A Novel Thermal Management System for Electric Vehicle Batteries Using Phase-Change Material,” J. Electrochem. Soc., 147(9), pp. 3231–3236. [CrossRef]
Mills, A., and Al-Hallaj, S., 2005, “Simulation of Passive Thermal Management System for Lithium-Ion Battery Packs,” J. Power Sources, 141(2), pp. 307–315. [CrossRef]
Sabbah, R., Kizilel, R., Selman, J. R., and Al-Hallaj, S., 2008, “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,” J. Power Sources, 182(2), pp. 630–638. [CrossRef]
Miao, Y., Vincent, Y. B., and Fadel, G. M., 2003, “Multi-Objective Configuration Optimization With Vehicle Dynamics Applied to Midsize Truck Design,” Proceedings of ASME 2003 DETC03, Paper No. DAC48735, pp. 319–327.
Szykman, S., and Cagan, J., 1995, “A Simulated Annealing-Based Approach to Three-Dimensional Component Packing,” ASME J. Mech. Des., 117(2), pp. 308–314. [CrossRef]
Campbell, M. I., Amon, C. H., and Cagan, J., 1997, “Optimal Three-Dimensional Placement of Heat Generating Electronic Components,” J. Electron. Packag., 119(2), pp. 106–113. [CrossRef]
Kostreva, M. M., and Ogryczak, W., 1999, “Linear Optimization With Multiple Equitable Criteria,” RAIRO Oper. Res., 33(3), 275297. [CrossRef]
Kostreva, M. M., Ogryczak, W., and Wierzbicki, A., 2004, “Equitable Aggregations and Multiple Criteria Analysis,” Eur. J. Oper. Res., 158(2), pp. 362–377. [CrossRef]
Ehrgott, M., 2005, Multicriteria Optimization, 2nd ed., Springer, Berlin, Germany.
Das, I., 1999, “A Preference Ordering Among Various Pareto Optimal Alternatives,” Struct. Optim., 18(1), pp. 30–35. [CrossRef]
Ogryczak, W., and Tamir, A., 2003, “Minimizing the Sum of the k Largest Functions in Linear Time,” Inf. Process. Lett., 85, pp. 117–122. [CrossRef]
Singh, V. K., 2007, “Equitable Efficiency in Multicriteria Optimization,” Ph.D. dissertation, Department of Mathematical Sciences, Clemson University.
Optimization Toolbox Users Guide Version R2011b, The MathWorks, Inc., Natick, MA, http://www.mathworks.com/products/optimization/, Last Accessed Nov. 28, 2011.
simulink Version R2011b, The MathWorks, Inc., Natick, MA, http://www.mathworks.com/help/toolbox/simulink/simulink_product_page.html, Last Accessed Nov. 28, 2011.

Figures

Grahic Jump Location
Fig. 1

The battery layout

Grahic Jump Location
Fig. 2

Illustration of geometric layout of battery components (12 columns, 6 rows)

Grahic Jump Location
Fig. 3

Illustrating anonymity of objectives

Grahic Jump Location
Fig. 4

Illustrating Pigou–Dalton principle of transfers

Grahic Jump Location
Fig. 5

The relationship between the layout designs at the battery and vehicle levels

Grahic Jump Location
Fig. 6

Evaluating convexity of absolute temperature deviations in terms of spacing factor pcell

Grahic Jump Location
Fig. 7

Cell coolant temperature drop (black line is coolant temperature, gray line is cell temperature)

Grahic Jump Location
Fig. 8

Condensed Pareto optimal and equitable outcomes with line of equity (two views)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In