Generalised single particle models for high-rate operation of graded lithium-ion electrodes: Systematic derivation and validation

A derivation of the single particle (SP) model is made from a Doyle-Fuller-Newman (DFN) model for electrodes composed of uniformly sized spherical electrode particles of one chemistry. The derivation uses a formal asymptotic method based on the disparity between the size of the thermal voltage and that of the characteristic change in overpotential that occurs during (de)lithiation. Comparison is made between the SP model and the DFN model for …