A geometric approach of a battery mathematical model for on-line energy monitoring

Through this paper we will concentrate on battery powered electronic devices, able to integrate an on-line, software based, state of charge monitoring system. We propose a novel approach of the Lithium-ion battery mathematical model that provides accurate information about batteries behavior. Using the differential equations related to the cathode electrode from the battery electrochemical model, a Hamilton-Poisson realization is provided to point out some of the geometrical and dynamical properties. The shortcomings of Runge-Kuta numerical integration versus the proposed approach are highlighted.