Multiscale modelling and analysis of lithium-ion battery charge and discharge

DOI10.1007/s10665-011-9461-9zbMath1254.78026OpenAlexW1981415325MaRDI QIDQ695514

M. C. Fu

Publication date: 21 December 2012

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://eprints.soton.ac.uk/202797/1/libattery_offprint.pdf

zbMATH Keywords

matched asymptotic expansionshomogenisationelectrolyteButler-Volmer equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Chemical kinetics in thermodynamics and heat transfer (80A30) Motion of charged particles (78A35) Asymptotic analysis in optics and electromagnetic theory (78M35) Homogenization in optics and electromagnetic theory (78M40) Electrochemistry (78A57)

Related Items (16)

Understanding rapid charge and discharge in nano-structured lithium iron phosphate cathodes ⋮ Charge transport modelling of Lithium-ion batteries ⋮ Modeling Electrode Heterogeneity in Lithium-Ion Batteries: Unimodal and Bimodal Particle-Size Distributions ⋮ A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells ⋮ Derivation of an effective thermal electrochemical model for porous electrode batteries using asymptotic homogenisation ⋮ A Mathematical Model for Mechanically-Induced Deterioration of the Binder in Lithium-Ion Electrodes ⋮ Multiscale Models of Metallic Particles in Nematic Liquid Crystals ⋮ Asymptotic reduction and homogenization of a thermo-electrochemical model for a lithium-ion battery ⋮ Derivation and numerical validation of a homogenized isothermal Li-ion battery model ⋮ Basic and extendable framework for effective charge transport in electrochemical systems ⋮ Complex frequency band structure of periodic thermo-diffusive materials by Floquet-Bloch theory ⋮ Asymptotic models for transport in large aspect ratio nanopores ⋮ Asymptotic Reduction of a Porous Electrode Model for Lithium-Ion Batteries ⋮ Asymptotic Reduction of a Lithium-Ion Pouch Cell Model ⋮ Derivation and solution of effective medium equations for bulk heterojunction organic solar cells ⋮ Homogenization of Spirally Wound High-Contrast Layered Materials

Cites Work

• Time-dependent modelling and asymptotic analysis of electrochemical cells
• Limit Process Expansions and Homogenization
• Derivation of a Macroscopic Model for Transport of Strongly Sorbed Solutes in the Soil Using Homogenization Theory

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