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

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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.

About the authors

Arseni Vladimirovich Ushakov

Saratov State University

ORCID iD: 0000-0003-0495-7750
SPIN-code: 6225-0061
83, Astrakhanskaya St., Saratov, 410012

Kirill Sergeevich Rybakov

Saratov State University

ORCID iD: 0000-0003-4821-2910
SPIN-code: 5334-5760
83, Astrakhanskaya St., Saratov, 410012

Anna V. Khrykina

Saratov State University

ORCID iD: 0000-0003-1198-0107
SPIN-code: 5258-7703
83, Astrakhanskaya St., Saratov, 410012

Irina Mikhailovna Gamayunova

Saratov State University

83, Astrakhanskaya St., Saratov, 410012

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