A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells

IF 2.3 4区 数学 Q1 MATHEMATICS, APPLIED European Journal of Applied Mathematics Pub Date : 2022-11-29 DOI:10.1017/S0956792522000353
M. Landstorfer, Mario Ohlberger, S. Rave, M. Tacke
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引用次数: 1

Abstract

Abstract In this contribution, we present a modelling and simulation framework for parametrised lithium-ion battery cells. We first derive a continuum model for a rather general intercalation battery cell on the basis of non-equilibrium thermodynamics. In order to efficiently evaluate the resulting parameterised non-linear system of partial differential equations, the reduced basis method is employed. The reduced basis method is a model order reduction technique on the basis of an incremental hierarchical approximate proper orthogonal decomposition approach and empirical operator interpolation. The modelling framework is particularly well suited to investigate and quantify degradation effects of battery cells. Several numerical experiments are given to demonstrate the scope and efficiency of the modelling framework.
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参数化锂离子电池单元高效降阶模拟的建模框架
摘要在这篇文章中,我们提出了一个参数化锂离子电池的建模和仿真框架。我们首先在非平衡热力学的基础上推导了一个相当普遍的插层电池的连续体模型。为了有效地评估由此产生的参数化非线性偏微分方程组,采用了降基方法。降阶基法是一种基于增量层次近似自正交分解方法和经验算子插值的模型降阶技术。该建模框架特别适合于研究和量化电池单元的退化影响。给出了几个数值实验来证明建模框架的范围和效率。
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来源期刊
CiteScore
4.70
自引率
0.00%
发文量
31
审稿时长
>12 weeks
期刊介绍: Since 2008 EJAM surveys have been expanded to cover Applied and Industrial Mathematics. Coverage of the journal has been strengthened in probabilistic applications, while still focusing on those areas of applied mathematics inspired by real-world applications, and at the same time fostering the development of theoretical methods with a broad range of applicability. Survey papers contain reviews of emerging areas of mathematics, either in core areas or with relevance to users in industry and other disciplines. Research papers may be in any area of applied mathematics, with special emphasis on new mathematical ideas, relevant to modelling and analysis in modern science and technology, and the development of interesting mathematical methods of wide applicability.
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