发表机构
Coimbra University; University of the Basque Country UPV/EHU; University of Minho（科英布拉大学; 巴斯克地区大学; 米尼奥大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种从P2D系统推导的0D空间电池模型，通过假设Butler-Volmer源项恒定，实现守恒与浓度正性，并显式给出扩散限制电流密度。
AI 中文摘要
嵌入式软件旨在实时提供电池单体的主要特性，以管理和优化电池使用。由于现场可用的计算资源有限，完整的多维模型难以处理。一类0D空间模型从P2D Doyle-Fuller-Newman系统中推导而来，对函数在空间中的形状做了额外假设，在保留随时间变化的主要特性的同时，大幅降低了复杂度。我们基于Butler-Volmer源项在每个子域（阳极、隔膜、阴极）中恒定的陈述，提出了一种从P2D系统构建的守恒且保正性的模型。我们开发了一种数学上严谨的构造方法，提供了简化模型，并设计了一种求解该系统的方案。我们强调，该模型保证了守恒性质以及浓度的正性。特别地，扩散限制电流密度——即在使用时仍能保持阳离子浓度正性的最大电流——被显式地获得。
英文摘要
Embedded software aims to provide the main characteristics of a cell in real time to manage and optimize battery usage. A complete multidimensional model is not tractable with the low computational resources available in-situ. A class of 0D-in-space models is derived from the P2D Doyle-Fuller-Newman system, with additional assumptions about the functions' shape in space, and strongly reduces the complexity while preserving the main characteristics over time. We propose a conservative, positivity-preserving model built from the P2D system based on the statement that the Butler-Volmer source term is constant in each subdomain (anode, separator, cathode). We develop a mathematically rigorous construction that provides the simplified model and design a scheme to solve the system. We highlight that the model guaranties the conservation property together with the positivity of the concentrations. In particular, the diffusion-limited current density that represents the maximum current that can be used while still preserving the positivity of the cation concentration is obtained explicitly.
