Fractional Differential Generalization of the Single Particle Model of a Lithium-Ion Cell
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 th...
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| Format: | Article |
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MDPI AG
2019-06-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/8/6/650 |
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| author | Renat T. Sibatov Vyacheslav V. Svetukhin Evgeny P. Kitsyuk Alexander A. Pavlov |
| author_facet | Renat T. Sibatov Vyacheslav V. Svetukhin Evgeny P. Kitsyuk Alexander A. Pavlov |
| author_sort | Renat T. Sibatov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T22:07:28Z |
| format | Article |
| id | doaj.art-d264747f97a641828335028bac5505c5 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-04-11T22:07:28Z |
| publishDate | 2019-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-d264747f97a641828335028bac5505c52022-12-22T04:00:39ZengMDPI AGElectronics2079-92922019-06-018665010.3390/electronics8060650electronics8060650Fractional Differential Generalization of the Single Particle Model of a Lithium-Ion CellRenat T. Sibatov0Vyacheslav V. Svetukhin1Evgeny P. Kitsyuk2Alexander A. Pavlov3Laboratory of Diffusion Processes, Ulyanovsk State University, Ulyanovsk 432017, RussiaScientific Manufacturing Complex “Technological Centre”, Moscow 124498, RussiaScientific Manufacturing Complex “Technological Centre”, Moscow 124498, RussiaInstitute of Nanotechnology of Microelectronics of the Russian Academy of Sciences (INME RAS), Moscow 119991, RussiaThe 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.https://www.mdpi.com/2079-9292/8/6/650lithium-ion batterysingle-particle modelfractional derivativeanomalous diffusionimpedancedegradationequivalent circuitimpedance |
| spellingShingle | Renat T. Sibatov Vyacheslav V. Svetukhin Evgeny P. Kitsyuk Alexander A. Pavlov Fractional Differential Generalization of the Single Particle Model of a Lithium-Ion Cell Electronics lithium-ion battery single-particle model fractional derivative anomalous diffusion impedance degradation equivalent circuit impedance |
| title | Fractional Differential Generalization of the Single Particle Model of a Lithium-Ion Cell |
| title_full | Fractional Differential Generalization of the Single Particle Model of a Lithium-Ion Cell |
| title_fullStr | Fractional Differential Generalization of the Single Particle Model of a Lithium-Ion Cell |
| title_full_unstemmed | Fractional Differential Generalization of the Single Particle Model of a Lithium-Ion Cell |
| title_short | Fractional Differential Generalization of the Single Particle Model of a Lithium-Ion Cell |
| title_sort | fractional differential generalization of the single particle model of a lithium ion cell |
| topic | lithium-ion battery single-particle model fractional derivative anomalous diffusion impedance degradation equivalent circuit impedance |
| url | https://www.mdpi.com/2079-9292/8/6/650 |
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