4.8 Article

Advanced Fractional-Order Lithium-Ion Capacitor Model With Time-Domain Parameter Identification Method

Journal

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
Volume 69, Issue 12, Pages 13808-13817

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIE.2021.3137597

Keywords

Constant phase element (CPE); fractional-order model; lithium-ion capacitors (LIC); parameter identification

Funding

  1. Strategic Priority Research Program of Chinese Academy of Sciences [XDA21050302]
  2. International Partnership Program of Chinese Academy of Sciences [182111KYSB20160014]

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This article proposes two advanced fractional-order models for lithium-ion capacitors, which describe the variation of voltage curve. The structure of the models is determined based on the reaction process, with fractional differentiation introduced into the porous electrode theory to express surface heterogeneity. The physical significance of the constant phase element is analyzed, demonstrating its ability to describe charge redistribution features. The applicability of the models is verified using a parameter identification method.
Lithium-ion capacitor (LIC) is a viable candidate with good commercial prospects in renewable energy, hybrid electric vehicles, and smart grids. It is the convenient route of application development to build the equivalent circuit model of the device in the simulation software. In this article, two advanced fractional-order models of LICs with parameters related to physical properties are proposed to describe the variation of voltage curve in the time domain. The structure of the models is determined based on the reaction process in the frequency domain. The two models differ in their diffusion part in which the fractional differential is introduced into the porous electrode theory in two ways to express the surface inhomogeneity of the porous electrode. The physical significance of the constant phase element (CPE) is particularly analyzed, and it is found that CPE has the ability to describe charge redistribution features. A parameter identification method is presented to solve the parameter estimation difficulties of models with CPE in the time domain. The applicability of the models is verified under constant and dynamic current conditions.

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