Acta Mechanica Sinica

, Volume 29, Issue 3, pp 335–347 | Cite as

Optimization of LiMn2O4 electrode properties in a gradient- and surrogate-based framework

  • Wenbo Du
  • Nansi Xue
  • Amit Gupta
  • Ann M. Sastry
  • Joaquim R. R. A. Martins
  • Wei ShyyEmail author
Research Paper


In this study, the effects of discharge rate and LiMn2O4 cathode properties (thickness, porosity, particle size, and solid-state diffusivity and conductivity) on the gravimetric energy and power density of a lithium-ion battery cell are analyzed simultaneously using a cell-level model. Surrogate-based analysis tools are applied to simulation data to construct educed-order models, which are in turn used to perform global sensitivity analysis to compare the relative importance of cathode properties. Based on these results, the cell is then optimized for several distinct physical scenarios using gradient-based methods. The complementary nature of the gradient- and surrogate-based tools is demonstrated by establishing proper bounds and constraints with the surrogate model, and then obtaining accurate optimized solutions with the gradient-based optimizer. These optimal solutions enable the quantification of the tradeoffs between energy and power density, and the effect of optimizing the electrode thickness and porosity. In conjunction with known guidelines, the numerical optimization framework developed herein can be applied directly to cell and pack design.


Lithium-ion battery Optimization Surrogate modeling Porous electrode model 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Wenbo Du
    • 1
  • Nansi Xue
    • 1
  • Amit Gupta
    • 1
    • 2
  • Ann M. Sastry
    • 3
  • Joaquim R. R. A. Martins
    • 1
  • Wei Shyy
    • 1
    • 4
    Email author
  1. 1.Department of Aerospace EngineeringUniversity of MichiganAnn ArborUSA
  2. 2.Department of Mechanical EngineeringIndian Institute of TechnologyNew DelhiIndia
  3. 3.Department of Mechanical EngineeringUniversity of MichiganAnn ArborUSA
  4. 4.Department of Mechanical EngineeringHong Kong University of Science and TechnologyClear Water Bay, Hong KongChina

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