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Time-frequency analysis of Li solid-phase diffusion in spherical active particles under typical discharge modes

Time-frequency analysis of Li solid-phase diffusion in spherical active particles under typical discharge modes

作     者:Qiu-An Huang Yuxuan Bai Liang Wang Juan Wang Fangzhou Zhang Linlin Wang Xifei Li Jiujun Zhang Qiu-An Huang;Yuxuan Bai;Liang Wang;Juan Wang;Fangzhou Zhang;Linlin Wang;Xifei Li;Jiujun Zhang

作者机构:Institute for Sustainable Energy/College of ScienceShanghai UniversityShanghai 201800China Shaanxi Key Laboratory of Nanomaterials and NanotechnologySchool of Mechanical and Electrical EngineeringXi’an University of Architecture and TechnologyXi’an 710055ShaanxiChina Institute of Materials/School of Materials Science and EngineeringShanghai UniversityShanghai 200072China Xi’an Key Laboratory of New Energy Materials and DevicesInstitute of Advanced Electrochemical Energy&School of Materials Science and EngineeringXi’an University of TechnologyXi’anShaanxi 710048China 

出 版 物:《Journal of Energy Chemistry》 (能源化学(英文版))

年 卷 期:2022年第31卷第4期

页      面:209-224页

核心收录:

学科分类:0808[工学-电气工程] 08[工学] 0807[工学-动力工程及工程热物理] 

基  金:the financial support from the National Science Foundation of China(22078190 and 12002196) the National Key Research and Development Program of China(2020YFB1505802) 

主  题:Li solid-phase diffusion Discharge mode Approximate algorithm Quasi-exact/exact solution Time-frequency analysis 

摘      要:Li transient concentration distribution in spherical active material particles can affect the maximum power density and the safe operating regime of the electric vehicles(EVs). On one hand, the quasiexact/exact solution obtained in the time/frequency domain is time-consuming and just as a reference value for approximate solutions;on the other hand, calculation errors and application range of approximate solutions not only rely on approximate algorithms but also on discharge modes. For the purpose to track the transient dynamics for Li solid-phase diffusion in spherical active particles with a tolerable error range and for a wide applicable range, it is necessary to choose optimal approximate algorithms in terms of discharge modes and the nature of active material particles. In this study, approximation methods,such as diffusion length method, polynomial profile approximation method, Padé approximation method,pseudo steady state method, eigenfunction-based Galerkin collocation method, and separation of variables method for solving Li solid-phase diffusion in spherical active particles are compared from calculation fundamentals to algorithm implementation. Furthermore, these approximate solutions are quantitatively compared to the quasi-exact/exact solution in the time/frequency domain under typical discharge modes, i.e., start-up, slow-down, and speed-up. The results obtained from the viewpoint of time-frequency analysis offer a theoretical foundation on how to track Li transient concentration profile in spherical active particles with a high precision and for a wide application range. In turn, optimal solutions of Li solid diffusion equations for spherical active particles can improve the reliability in predicting safe operating regime and estimating maximum power for automotive batteries.

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