Thermal electrochemical models for porous electrode batteries (such as lithium ion batteries) are widely used. Due to the multiple scales involved, solving the model accounting for the porous microstructure is computationally expensive; therefore, effective models at the macroscale are preferable. However, these effective models are usually postulated ad hoc rather than systematically upscaled from the microscale equations. We present an effective thermal electrochemical model obtained using asymptotic homogenisation, which includes the electrochemical model at the cell level coupled with a thermal model that can be defined at either the cell or the battery level. The main aspects of the model are the consideration of thermal effects, the diffusion effects in the electrode particles, and the anisotropy of the material based on the microstructure, all of them incorporated in a systematic manner. We also compare the homogenised model with the standard electrochemical Doyle, Fuller & Newman model.

中文翻译：

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使用渐近均质化推导多孔电极电池的有效热电化学模型

多孔电极电池（如锂离子电池）的热电化学模型被广泛使用。由于涉及多个尺度，求解考虑多孔微结构的模型在计算上是昂贵的；因此，宏观尺度的有效模型是可取的。然而，这些有效模型通常是临时假设的，而不是从微观方程系统地放大。我们提出了使用渐近均质化获得的有效热电化学模型，其中包括电池级的电化学模型以及可以在电池级或电池级定义的热模型。该模型的主要方面是考虑热效应、电极颗粒中的扩散效应以及基于微观结构的材料的各向异性，所有这些都以系统的方式结合在一起。我们还将均质模型与标准电化学 Doyle、Fuller & Newman 模型进行了比较。