The Development of a Mathematical Model of Lithium-Ion Battery Discharge Characteristics

Abstract

This paper is devoted to obtaining a mathematical model of the lithium-ion battery discharge capacity at a constant current discharge from the system of physical and chemical processes in a lithium-ion battery equations obtained earlier by the authors. The input of this model is the discharge capacity of a particular instance of a lithium-ion battery and a constant discharge current at which the discharge capacity is determined. The output of the model is determined by the discharge capacity of the considered instance of the lithium-ion battery. The model under consideration for the discharge capacities of a lithium-ion battery is obtained by excluding dynamic variables and unknown constant coefficients from the system of physical and chemical processes in lithium-ion battery equations. This exclusion of dynamic variables is carried out numerically by calculating different dynamics of physical and chemical processes in a lithium-ion battery corresponding to different values of constant coefficients and further approximation of the desired model on these calculated dynamics. The obtained model is tested experimentally.