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Mathematical Modeling of Aging of Li-Ion Batteries

Chapter
Part of the Green Energy and Technology book series (GREEN)

Abstract

The recent interest in full and hybrid electric vehicles powered with Li-ion batteries has prompted for in-depth battery aging characterization and prediction. This topic has become popular both in academia and industry battery research communities. Because it is an interdisciplinary topic, different methods for aging studies are being pursued, ranging from black box types of approaches from the electrical engineering community all the way to physics-based methods mainly brought about by the chemical engineering community. This chapter describes an overall methodology for aging characterization and prediction in Li-ion batteries based on physics-based modeling. In a first section, the typical aging phenomena in LIBs are reviewed along with their effects on the cell internal balancing and performance loss. In a second section, the physics-based models used for aging studies are presented, which includes both the performance models (i.e., aging-free) and aging models. In a third section, the typical aging experiments and characterization methods are introduced, along with their analysis with the physics-based models. Finally, the last section presents an outlook of physics-based aging modeling.

Keywords

Electrochemical Impedance Spectroscopy Side Reaction Aging Test Solid Electrolyte Interphase Aging Phenomenon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Nagaura T, Tazawa K (1990) Lithium-ion rechargeable battery. Prog Batteries Solar Cells 9:209Google Scholar
  2. 2.
    Amatucci G, Tarascon J-M (2002) Optimization of insertion compounds such as LiMn2O4 for Li-ion batteries. J Electrochem Soc 149(12):K31Google Scholar
  3. 3.
    Numata T, Amemiya C, Kumeuchi T, Shirakata M, Yonezawa M (2001) Advantages of blending LiNi0.8Co0.2O2 into Li1+xMn2-xO4 cathodes. J Power Sources 97–98:358Google Scholar
  4. 4.
    Chikkannanavar SB, Bernardi DM, Liu L (2014) A review of blended cathode materials for use in Li-ion batteries. J Power Sources 248:91–100Google Scholar
  5. 5.
    Tran HY, Taubert C, Fleischhammer M, Axmann P, Kuppers I, Wohlfart-Mehrens M (2011) LiMn2O4 spinel/LiNi0.8Co0.15Al0.05O2 blends as cathode materials for lithium-ion batteries. J Electrochem Soc 158:A556–A561Google Scholar
  6. 6.
    Srinivasan V (2008) Batteries for vehicular applications. In: AIP conference proceedings, vol 1044. AIP Publishing, pp 283–296Google Scholar
  7. 7.
  8. 8.
    Newman J, Hoertz PG, Bonino CA, Trainham JA (2012) Review: an economic perspective on liquid solar fuels. J Electrochem Soc 159(10):A1722–A1729Google Scholar
  9. 9.
    Darling R, Newman J (1998) Modeling side reactions in composite LiyMn2O4 electrodes. J Electrochem Soc 145(3):990–998Google Scholar
  10. 10.
    Arora P, Doyle M, White RE (1999) Mathematical modeling of the lithium deposition overcharge reaction in lithium-ion batteries using carbon-based negative electrodes. J Electrochem Soc 146(10):3543–3553Google Scholar
  11. 11.
    Christensen J, Newman J (2004) A mathematical model for the lithium-ion negative electrode solid electrolyte interphase. J Electrochem Soc 151(11):A1977–A1988Google Scholar
  12. 12.
    Ramadass P, Haran B, Gomadam PM, White R, Popov BN (2004) Development of first principles capacity fade model for Li-ion cells. J Electrochem Soc 151(2):A196–A203Google Scholar
  13. 13.
    Safari M, Morcrette M, Teyssot A, Delacourt C (2009) Multimodal physics-based aging model for life prediction of Li-ion batteries. J Electrochem Soc 156(3):A145–A153Google Scholar
  14. 14.
    Arora P, White RE, Doyle M (1998) Capacity fade mechanisms and side reactions in lithium-ion batteries. J Electrochem Soc 145(10):3647–3667Google Scholar
  15. 15.
    Vetter J, Novák P, Wagner MR, Veit C, Möller K-C, Besenhard JO, Winter M, Wohlfahrt-Mehrens M, Vogler C, Hammouche A (2005) Aging mechanisms in lithium-ion batteries. J Power Sources 147(1–2):269–281Google Scholar
  16. 16.
    Christensen J, Newman J (2005) Cyclable lithium and capacity loss in Li-ion ells. J Electrochem Soc 152(4):A818–A829Google Scholar
  17. 17.
    Peled E (1979) Electrochemical behavior of alkali and alkaline earth metals in nonaqueous battery systems – the solid electrolyte interphase model. J Electrochem Soc 126(12):2047–2051Google Scholar
  18. 18.
    Inaba M, Tomiyasu H, Tasaka A, Jeong SK, Ogumi Z (2004) Atomic force microscopy study on the stability of a surface film formed on a graphite negative electrode at elevated temperatures. Langmuir 20:1348–1355Google Scholar
  19. 19.
    Delacourt C, Kwong A, Liu X, Qiao R, Yang WL, Lu P, Harris SJ, Srinivasan V (2013) Effect of manganese contamination on the solid-electrolyte-interphase properties in Li-ion batteries. J Electrochem Soc 160(8):A1099–A1107Google Scholar
  20. 20.
    Xiao X, Liu Z, Baggetto L, Veith GM, More KL, Unocic RR (2014) Unraveling manganese dissolution/deposition mechanisms on the negative electrode in lithium ion batteries. Phys Chem Chem Phys 16:10398–10402Google Scholar
  21. 21.
    Waldmann T, Wilka M, Kasper M, Fleischhammer M, Wohlfahrt-Mehrens M (2014) Temperature dependent ageing mechanisms in lithium-ion batteries – a post-mortem study. J Power Sources 262:129–135Google Scholar
  22. 22.
    Tang M, Albertus P, Newman J (2009) Two-dimensional modeling of lithium deposition during cell charging. J Electrochem Soc 156(5):A390–A399Google Scholar
  23. 23.
    Deshpande R, Verbrugge M, Cheng Y-T, Wang J, Liu P (2012) Battery cycle life prediction with coupled chemical degradation and fatigue mechanics. J Electrochem Soc 159(10):A1730–A1738Google Scholar
  24. 24.
    Andersson AM, Edstrom K, Rao N, Wendsjo A (1999) Temperature dependence of the passivation layer on graphite. J Power Sources 81–82:286–290Google Scholar
  25. 25.
    Aurbach D, Koltypin M, Teller H (2002) In situ AFM imaging of surface phenomena on composite graphite electrodes during lithium insertion. Langmuir 18:9000–9009Google Scholar
  26. 26.
    Svens P, Eriksson R, Hansson J, Behm M, Gustafsson T, Lindbergh G (2014) Analysis of aging of commercial composite metal oxide – Li4Ti5O12 battery cells. J Power Sources 270:131–141Google Scholar
  27. 27.
    Castaing R, Reynier Y, Dupre N, Schleich D, Jouanneau Si Larbi S, Guyomard, D, Moreau P (2014) Degradation diagnosis of aged Li4Ti5O12/LiFePO4 batteries. J Power Sources 267:744–752Google Scholar
  28. 28.
    Wohlfahrt-Mehrens M, Vogler C, Garche J (2004) Aging mechanisms of lithium cathode materials. J Power Sources 127:58–64Google Scholar
  29. 29.
    Edstrom K, Gustafsson T, Thomas JO (2004) The cathode-electrolyte interface in the li-ion battery. Electrochim Acta 50:397–403Google Scholar
  30. 30.
    Aurbach D, Markovsky B, Salitra G, Markevich E, Talyossef Y, Koltypin M, Nazar L, Ellis B, Kovacheva D (2007) Review on electrode-electrolyte solution interfaces related to cathode materials for Li-ion batteries. J Power Sources 165:491–499Google Scholar
  31. 31.
    Reimers JN, Dahn JR (1992) Electrochemical and in situ x-ray diffraction studies of lithium intercalation in LixCoO2. J Electrochem Soc 139(8):2091–2096Google Scholar
  32. 32.
    Blyr A, Sigala C, Amatucci G, Guyomard D, Chabre Y, Tarascon J-M (1998) Self-discharge of LiMn2O4/C Li-ion cells in their discharged state: understanding by means of three-electrode measurements. J Electrochem Soc 145(1):194–209Google Scholar
  33. 33.
    Kim D, Park S, Chae OB, Ryu JH, Yin R, Kim Y-U, Oh S (2012) Re-deposition of manganese species on spinel LiMn2O4 electrode after Mn dissolution. J Electrochem Soc 159(3):A193–A197Google Scholar
  34. 34.
    Koltypin M, Aurbach D, Nazar L, Ellis B (2007) On the stability of LiFePO4 olivine cathodes under various conditions (electrolyte solutions, temperatures). Electrochem Solid State Lett 10(2):A40–A44Google Scholar
  35. 35.
  36. 36.
    Thomas-Alyea KE, Darling RM, Newman J (2002) In: Schalkwijk WV, Scrosati B (eds) Mathematical modeling of Lithium batteries. Advances in lithium-ion batteries, chapter 12. KluwerAcademic/Plenum PublishersGoogle Scholar
  37. 37.
    Newman JS, Thomas-Alyea KE (2004) Electrochemical systems. Wiley InterscienceGoogle Scholar
  38. 38.
    Atlung S, West K, Jacobsen T (1979) Dynamic aspects of solid solution cathodes for electrochemical power sources. J Electrochem Soc 129:1311Google Scholar
  39. 39.
    Santhanagopalan S, Guo Q, Ramadass P, White RE (2006) Review of models for predicting the cycling performance of lithium ion batteries. J Power Sources 156:620–628Google Scholar
  40. 40.
    Safari M, Delacourt C (2011) Simulation-based analysis of aging phenomena in a commercial graphite/LiFePO4 cell. J Electrochem Soc 158(12):A1436–A1447Google Scholar
  41. 41.
    Ploehn HJ, Ramadass P, White RE (2004) Solvent diffusion model for aging of lithium-ion battery cells. J Electrochem Soc 151(3):A456–A462Google Scholar
  42. 42.
    Broussely M, Herreyre S, Biensan P, Kasztejna P, Nechev K, Staniewicz RJ (2001) Aging mechanisms inn Li-ion cells and calendar life predictions. J Power Sources 97–98:13–21Google Scholar
  43. 43.
    Delacourt C, Safari M (2012) Life simulation of a graphite/LiFePO4 cell under cycling and storage. J Electrochem Soc 159(8):A1283Google Scholar
  44. 44.
    Perkins RD, Randall AV, Zhang X, Plett GL (2012) Controls oriented reduced order modeling of lithium deposition on overcharge. J Power Sources 209:318–325Google Scholar
  45. 45.
    Christensen J, Newman J (2006) Stress generation and fracture in lithium insertion materials. J Solid State Electrochem 10:293–319Google Scholar
  46. 46.
    Verbrugge MW, Cheng Y-T (2009) Stress and strain-energy distributions within diffusion-controlled insertion-electrode particles subjected to periodic potential excitations. J Electrochem Soc 156(11):A927–A937Google Scholar
  47. 47.
    Narayanrao R, Joglekar MM, Inguva S (2013) A phenomenological degradation model for cycling aging of lithium ion cell materials. J Electrochem Soc 160(1):A125–A137Google Scholar
  48. 48.
    Dai Y, Cai L, White RE (2013) Capacity fade model for spinel LiMn2O4 electrode. J Electrochem Soc 160(1):A182–A190Google Scholar
  49. 49.
    Delacourt C (2013) Modeling Li-ion batteries with electrolyte additives or contaminants. J Electrochem Soc 160(11):A1997–A2004Google Scholar
  50. 50.
    Sikha G, Popov BN, White RE (2004) Effect of porosity on the capacity fade of a lithium-ion battery theory. J Electrochem Soc 151(7):A1104–A1114Google Scholar
  51. 51.
  52. 52.
    Doyle M, Newman J, Reimers J (1994) A quick method of measuring the capacity versus discharge rate for a dual lithium-ion insertion cell undergoing cycling. J Power Sources 52:211–216Google Scholar
  53. 53.
    Bloom I, Jansen AN, Abraham DP, Knuth J, Jones SA, Battaglia VS, Henriksen GL (2005) Differential voltage analyses of high-power lithium-ion cells, 1. Technique and application. J Power Sources 139(1–2):295–303Google Scholar
  54. 54.
    Bloom I, Christophersen J, Gering K (2005) Differential voltage analyses of high-power lithium-ion cells, 2.applications. J Power Sources 139(1–2):304–313Google Scholar
  55. 55.
    Dubarry M, Svoboda V, Hwu R, Liaw BY (2006) Incremental capacity analysis and close-to-equilibrium OCV measurements to quantify capacity fade in commercial rechargeable lithium batteries. Electrochem. Solid State Lett. 9(10):A454–A457Google Scholar
  56. 56.
    Safari M, Delacourt C (2011) Aging of a commercial graphite/LiFePO4 cell. J Electrochem Soc 158(10):A1123–A1135Google Scholar
  57. 57.
    Kassem M, Bernard J, Revel R, Pelissier S, Duclaud F, Delacourt C (2012) Calendar aging of a graphite/LiFePO4 cell. J Power Sources 208:296–305Google Scholar
  58. 58.
    Smith AJ, Burns JC, Xiong D, Dahn JR (2011) Interpreting high precision coulometry results on Li-ion cells. J Electrochem Soc 158(10):A1136–A1142Google Scholar
  59. 59.
    Smith AJ, Burns JC, Trussler S, Dahn JR (2010) Precision measurements of the coulombic efficiency of lithium-ion batteries and of electrode materials for lithium-ion batteries. J Electrochem Soc 157(2):A196–A202Google Scholar
  60. 60.
    Sinha NN, Smith AJ, Burns JC, Jain G, Eberman KW, Scott E, Gardner JP, Dahn JR (2011) The use of elevated temperature storage experiments to learn about parasitic reactions in wound LiCoO2/graphite cells. J Electrochem Soc 158(11):A1194–A1201Google Scholar
  61. 61.
    Doyle M, Meyers JP, Newman J (2000) Computer simulations of the impedance response of lithium rechargeable batteries. J Electrochem Soc 147(1):99–110Google Scholar
  62. 62.
    Ho C, Raistrick ID, Huggins RA (1980) Application of A-C techniques to the study of lithium diffusion in tungsten trioxide thin films. J Electrochem Soc 127(2):343–349Google Scholar
  63. 63.
    Nagpure SC, Bhushan B, Babu SS (2013) Multi-scale characterization studies of aged Li-ion large format cells for improved performance: an overview. J Electrochem Soc 160(11):A2111–A2154Google Scholar
  64. 64.
    Moreau F, Bernard J, Revel R (2012) Unpublished results, IFP Energies NouvellesGoogle Scholar
  65. 65.
    Williamson GK, Hall WH (1953) X-ray line broadening from field aluminium and wolfram. Acta Metall 1:22Google Scholar
  66. 66.
    Kassem M, Delacourt C (2013) Postmortem analysis of calendar-aged graphite/LiFePO4 cells. J Power Sources 235:159–171Google Scholar
  67. 67.
    Santhanagopalan S, Guo Q, White RE (2007) Parameter estimation and model discrimination for a lithium-ion cell. J Electrochem Soc 154(3):A198–A206Google Scholar
  68. 68.
    Guo Q, Sethuraman VA, White RE (2004) Parameter estimates for a PEMFC cathode. J Electrochem Soc 151(7):A983–A993Google Scholar
  69. 69.
    Zhang Q, White RE (2008) Calendar life study of Li-ion pouch cells. part 2: simulation. J Power Sources 179(2):785–792Google Scholar
  70. 70.
    Zhang Q, White RE (2008) Capacity fade analysis of a lithium-ion cell. J Power Sources 179(2):793–798Google Scholar
  71. 71.
    Ramadass P, Haran B, White R, Popov BN (2003) Mathematical modeling of the capacity fade of Li-ion cells. J. Power Sources 123:230–240Google Scholar
  72. 72.
    Picciano N (2007) Battery aging and characterization of nickel metal hydride and lead acid batteries. Ph.D. dissertation, The Ohio State University, OH, USAGoogle Scholar
  73. 73.
    Safari M, Morcrette M, Teyssot A, Delacourt C (2010) Life-prediction methods for lithium-ion batteries derived from a fatigue approach: I. introduction: capacity-loss prediction based on damage accumulation. J Electrochem Soc 157(6):A713–A720Google Scholar
  74. 74.
    Safari M, Morcrette M, Teyssot A, Delacourt C (2010) Life-prediction methods for lithium-ion batteries derived from a fatigue approach: II. capacity-loss prediction of batteries subjected to complex current profiles. J Electrochem Soc 157(7):A892–A898Google Scholar
  75. 75.
  76. 76.

Copyright information

© Springer-Verlag London 2016

Authors and Affiliations

  1. 1.Laboratoire de Réactivité et de Chimie des Solides, CNRS UMR 7314Université de Picardie Jules VerneAmiensFrance
  2. 2.Department of ChemistryUniversity of WaterlooWaterlooCanada

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