Table of Contents Author Guidelines Submit a Manuscript
International Journal of Electrochemistry
Volume 2012, Article ID 395838, 10 pages
http://dx.doi.org/10.1155/2012/395838
Research Article

Quantifying Cell-to-Cell Variations in Lithium Ion Batteries

1National Renewable Energy Laboratory, Golden, CO 80401, USA
2University of South Carolina, Columbia, SC 29204, USA

Received 26 March 2011; Accepted 4 October 2011

Academic Editor: Dong Shu

Copyright © 2012 Shriram Santhanagopalan and Ralph E. White. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. D. Linden and T. B. Reddy, Eds., Handbook of Batteries, 3rd edition, 2003.
  2. Electric and Hybrid Vehicle Propulsion Battery System Safety Standard, SAE J2929.
  3. E. Barsoukov and J. R. McDonald, Eds., Impedance Spectroscopy: Theory, Experiment, and Applications, Wiley-Interscience, Hoboken, NJ, USA, 2nd edition, 2005.
  4. R. Darling and J. Newman, “Modeling a porous intercalation electrode with two characteristic particle sizes,” Journal of the Electrochemical Society, vol. 144, no. 12, pp. 4201–4208, 1997. View at Google Scholar
  5. J. P. Meyers, M. Doyle, R. M. Darling, and J. Newman, “Impedance response of a porous electrode composed of intercalation particles,” Journal of the Electrochemical Society, vol. 147, no. 8, pp. 2930–2940, 2000. View at Publisher · View at Google Scholar
  6. D. Dees, E. Gunen, D. Abraham, A. Jansen, and J. Prakash, “Alternating current impedance electrochemical modeling of lithium-ion positive electrodes,” Journal of the Electrochemical Society, vol. 152, no. 7, pp. A1409–A1417, 2005. View at Publisher · View at Google Scholar
  7. D. E. Stephenson, E. M. Hartman, J. N. Harb, and D. R. Wheeler, “Modeling of particle-particle interactions in porous cathodes for lithium-ion batteries,” Journal of the Electrochemical Society, vol. 154, no. 12, pp. A1146–A1155, 2007. View at Publisher · View at Google Scholar
  8. G. Sikha and R. E. White, “Analytical expression for the impedance response of an insertion electrode cell,” Journal of the Electrochemical Society, vol. 154, no. 1, pp. A43–A54, 2007. View at Publisher · View at Google Scholar
  9. G. Sikha and R. E. White, “Analytical expression for the impedance response for a lithium-ion cell,” Journal of the Electrochemical Society, vol. 155, no. 12, pp. A893–A902, 2008. View at Publisher · View at Google Scholar
  10. G. S. Nagarajan, J. W. Van Zee, and R. M. Spotnitz, “A mathematical model for intercalation electrode behavior: I. Effect of particle-size distribution on discharge capacity,” Journal of the Electrochemical Society, vol. 145, no. 3, pp. 771–779, 1998. View at Google Scholar
  11. R. N. Methekar, P. W. C. Northrop, K. Chen, R. D. Braatz, and V. R. Subramanian, “Kinetic Monte Carlo simulation of surface heterogeneity in graphite anodes for lithium-ion batteries: passive layer formation,” Journal of The Electrochemical Society, vol. 158, pp. A363–A368, 2011. View at Google Scholar
  12. S. Motupally, C. C. Streinz, and J. W. Weidner, “Proton diffusion in nickel hydroxide films measurement of the diffusion coefficient as a function of state of charge,” Journal of the Electrochemical Society, vol. 142, no. 5, pp. 1401–1408, 1995. View at Google Scholar
  13. G. E. P. Box, “Fitting empirical data,” Annals of the New York Academy of Sciences, vol. 86, pp. 792–794, 1960. View at Google Scholar
  14. S. Santhanagopalan and R. E. White, “Modeling parametric uncertainty using polynomial chaos theory,” ECS Transactions, vol. 3, no. 27, 2007. View at Publisher · View at Google Scholar
  15. W. L. Luyben, Process Modeling, Simulation and Control for Chemical Engineers, McGraw-Hill, New York, NY, USA, 2nd edition, 1989.
  16. S. Skogestad and M. Morari, “Model uncertainty, process design, and process control,” in Proceedings of the AIChE Annual Meeting, Chicago, Ill, USA, November, 1985.
  17. S. Skogestad and I. Postlethwaite, Multivariable Feedback Control: Analysis and Design, John Wiley & Sons, West Sussex, UK, 2nd edition, 2005.
  18. W. C. Rooney and L. T. Biegler, “Optimal process design with model parameter uncertainty and process variability,” AIChE Journal, vol. 49, no. 2, pp. 438–449, 2003. View at Publisher · View at Google Scholar
  19. I. P. Androulakis, J. M. Grenda, T. A. Barckholtz, and J. W. Bozzelli, “Propagation of uncertainty in chemically activated systems,” AIChE Journal, vol. 52, no. 9, pp. 3246–3256, 2006. View at Publisher · View at Google Scholar
  20. N. J. Samsatli, L. G. Papageorgiou, and N. Shah, “Robustness metrics for dynamic optimization models under parameter uncertainty,” AIChE Journal, vol. 44, no. 9, pp. 1993–2006, 1998. View at Publisher · View at Google Scholar
  21. S. Balakrishnan, P. Georgopoulos, I. Banerjee, and M. Ierapetritou, “Uncertainty considerations for describing complex reaction systems,” AIChE Journal, vol. 48, no. 12, pp. 2875–2889, 2002. View at Publisher · View at Google Scholar
  22. K. A. McDonald, A. Palazoglu, and B. W. Beuette, “Impact of model uncertainty descriptions for high-purity distillation control,” AIChE Journal, vol. 34, no. 12, pp. 1996–2004, 1988. View at Publisher · View at Google Scholar
  23. B. A. Ogunnaike and W. H. Ray, Process Dynamics, Modeling, and Control (Topics in Chemical Engineering), Oxford University Press, Cambridge, Mass, USA, 1994.
  24. C. Y. Wang and V. Srinivasan, “Computational battery dynamics (CBD)—electrochemical/thermal coupled modeling and multi-scale modeling,” Journal of Power Sources, vol. 110, no. 2, pp. 364–376, 2002. View at Publisher · View at Google Scholar
  25. M. Dubarry, N. Vuillaume, and B. Y. Liaw, “From single cell model to battery pack simulation for Li-ion batteries,” Journal of Power Sources, vol. 186, no. 2, pp. 500–507, 2009. View at Publisher · View at Google Scholar
  26. Y.-B. Yi, C.-W. Wang, and A. M. Sastry, “Two-dimensional vs. three-dimensional clustering and percolation in fields of overlapping ellipsoids,” Journal of the Electrochemical Society, vol. 151, no. 8, pp. A1292–A1300, 2004. View at Publisher · View at Google Scholar