This study presents a theoretical framework to model spatio-temporal heat generation rates and temperature evolution in electrochemical double layer capacitors composed of porous electrodes during constant-current cycling. Expressions for reversible and irreversible heat generation rates are derived based on porous electrode theory. Temperature predictions obtained from the model are found to match experimental trends reported in prior literature as well as quantitative results under various charge/discharge conditions. The model has been applied to investigate the influence of electrode and separator porosity on the operating temperature inside the capacitor during charge/discharge. Furthermore, scaling analysis of the electrothermal model leads to a reduced number of meaningful dimensionless parameters governing electric potential, heat generation rate and temperature rise in the capacitor. We explore the influence of these dimensionless parameters using detailed numerical simulations.

本研究提出了一个理论框架，用于模拟恒流循环过程中由多孔电极组成的电化学双层电容器的时空发热率和温度演变。基于多孔电极理论推导出可逆和不可逆发热率的表达式。发现从模型获得的温度预测与先前文献中报道的实验趋势以及各种充电/放电条件下的定量结果相匹配。该模型已应用于研究电极和隔膜孔隙率对充放电过程中电容器内部工作温度的影响。此外，电热模型的缩放分析导致控制电势的有意义的无量纲参数数量减少，电容器的发热率和温升。我们使用详细的数值模拟来探索这些无量纲参数的影响。