Understanding rapid charge and discharge in nano-structured lithium iron phosphate cathodes

A Doyle–Fuller–Newman (DFN) model for the charge and discharge of nano-structured lithium iron phosphate (LFP) cathodes is formulated on basis that transport within nanoscale LFP electrode particles much faster than cell discharge, therefore not rate limiting. We present some numerical solutions to show relevant parameter values, a variety C-rates, it possible sharp fronts form intrude into from its outer edge(s). These separate regions fully utilised those are not. Motivated by this observation an asymptotic solution sought. The results analysis DFN lead reduced order model, which we term reaction front (or RFM). Favourable agreement shown between RFM full in appropriate regimes. significantly cheaper solve has potential be used scenarios where computational costs prohibitive, e.g. optimisation estimation problems or engineering control systems.