%0 Conference Paper %A Siti Aishah Hashim Ali, %A Open University Malaysia, %B Simposium Kebangsaan Sains Matematik ke-19 %C Pulau Pinang %D 2011 %F library_repository:718 %K lithium ion batteries, intercalation process through the lithium-ion concentration profiles %T Mathematical Modelling of Lithium-ion Concentration in Rechargeable Lithium Batteries %U https://library.oum.edu.my/repository/718/ %X The demand for lithium ion batteries has increased due to the increasing need by consumers for rechargeable batteries. In the effort to produce high performance batteries, mathematical model becomes a vital instrument in helping batteries developers to understand the behaviour of the battery systems during charge and discharge process. This understanding is useful in the optimization of the battery design and parameters. This paper presents a mathematical model used to simulate the intercalation process of lithium ions in the electrode of a lithium-ion battery. This model is used to study the intercalation process through the lithium-ion concentration profiles during charge/discharge of a rechargeable lithium-ion battery. This approach resulted in solving the diffusion equation in the solution phase and the solid phase of the battery. Results from both phases are plotted and compared. (Abstract by authors)