论文标题
凸出的液压电池的变形的管家模型，用于凸出的半阶段电流电池概况
Deformed Butler-Volmer Models for Convex Semilogarithmic Current-Overpotential Profiles of Li-ion Batteries
论文作者
论文摘要
巴特勒 - 沃尔默（BV）方程将电流界面越过电势滴与Arrhenius Kinetics和Boltzmann因子的假设联系起来。应用半合同性素的TAFEL分析，其中绘制了电流的对数，而超电势期望可以计算动力学过程的基本反应速率的直线。但是，某些锂离子电池数据是这里的重点，它显示了无法与标准BV模型充分拟合的非线性凸配置文件。相反，我们提出了两个变形的BV模型，以分析由仅表现出局部平衡的细胞叠加构成的这种类型的行为，从而引起了PowerLaw $ Q $ - 指数和$κ$ - $ - 指数函数。在非平衡情况下，已成功使用了非玻璃体分布来建模各种物理系统，但尚未用于电池。我们在从\ ce {lifepo4}和\ ce {li} - \ ce {o2}电池中获得的实验数据上验证了变形BV模型的有效性。
The Butler-Volmer (BV) equation links the current flux crossing an electrochemical interface to the electric potential drop across it with the assumption of Arrhenius kinetics and the Boltzmann factor. Applying the semilogarithmic Tafel analysis in which the logarithm of current is plotted vs. the overpotential one expects straight lines from which the fundamental reaction rate of the kinetic process can be computed. However, some Li-ion battery data, which is the focus here, show nonlinear convex profiles that cannot be adequately fitted with the standard BV model. We propose instead two deformed BV models for the analysis of such types of behaviors constructed from the superposition of cells exhibiting only local equilibrium and thus giving rise to the power-law $q$-exponential and $κ$-exponential functions. Non-Boltzmann distributions have been successfully employed for the modeling of a wide spectrum of physical systems in nonequilibrium situations, but not yet for batteries. We verify the validity of the deformed BV models on experimental data obtained from \ce{LiFePO4} and \ce{Li}-\ce{O2} batteries.
