Mathematical model of the electrochemical battery with physical constraints of available capacity

Abstract

The article presents a universal combined model of the electrochemical battery, built on the basis of the modified Shepherd equation and the kinetic model. The proposed model provides the adequate mapping of the basic characteristics of the battery in operating mode, taking into account the physical constraints of the capacity available. The results of verification of the developed mathematical model using lead-acid and lithium-iron-phosphate batteries are presented. These results prove its higher accuracy in comparison with the basic model of MATLAB/Simulink electrochemical battery.