Probabilistic models of the capacity of the electrode material in a wide range of current loads

Abstract

An approach for constructing mathematical models of the current dependence of the capacity of electrode materials is proposed. The approach involves analyzing the probabilities of favorable and unfavorable events occurring on the elements of electrical equivalent circuits that can be used to model the electrode. Several probabilistic models that correspond to different combinations of a capacitor, a Warburg element and a constant phase element in an electrical circuit are proposed. As an example, the validation of specific models to describe the experimental current dependences of the capacity of Li3V2(PO4)3 or Li4Ti5O12 based composite electrodes with carbon nanomaterial is shown. The approach allows approximating such dependencies for a wide range of current loads – from 0.1 to 50 C.

Keywords

• li-ion battery
• capacity modeling
• peukert’s law
• probability
• lithium vanadium phosphate
• lithium titanate