Fractional Differential Generalization of the Single Particle Model of a Lithium-Ion Cell

Electronics

AlexanderA. Pavlov¹  RenatT. Sibatov²  VyacheslavV. Svetukhin³  EvgenyP. Kitsyuk³ 

[1] Institute of Nanotechnology of Microelectronics of the Russian Academy of Sciences (INME RAS), Moscow 119991, Russia;Laboratory of Diffusion Processes, Ulyanovsk State University, Ulyanovsk 432017, Russia;Scientific Manufacturing Complex “Technological Centre”, Moscow 124498, Russia;

关键词: lithium-ion battery;    single-particle model;    fractional derivative;    anomalous diffusion;    impedance;    degradation;    equivalent circuit;    impedance;   

DOI  :  10.3390/electronics8060650

来源: DOAJ

【 摘 要 】

The effect of anomalous diffusion of lithium on the discharge curves and impedance spectra of lithium-ion batteries (LIB) is studied within the fractional differential generalization of the single-particle model. The distribution of lithium ions in electrolyte and electrode particles is expressed through the Mittag−Leffler function and the Lévy stable density. Using the new model, we generalize the equivalent circuit of LIB. The slope of the low-frequency rectilinear part of the Nyquist diagram does not always unambiguously determine the subdiffusion index and can be either larger or smaller than the slope corresponding to normal diffusion. The new aspect of capacity degradation related to a change in the type of ion diffusion in LIB components is discussed.

【 授权许可】

Unknown