A novel analytical solution for the calculation of temperature in supercapacitors operating at constant power
A novel analytical solution for the calculation of temperature in supercapacitors operating at constant power
复制标题
DOI：
10.1016/j.energy.2019.116047
复制
发表时间：
2019-12
期刊：
影响因子：
9
通讯作者：
J. Pedrayes;M. Melero;J. G. Norniella;J. Cano;M. F. Cabanas;G. A. Orcajo;C. Rojas
中科院分区：
文献类型：
--
作者：
J. Pedrayes;M. Melero;J. G. Norniella;J. Cano;M. F. Cabanas;G. A. Orcajo;C. Rojas
当超级电容器（SC）以恒定电流充电或放电时，其温度变化是一个众所周知的过程。然而，目前尚不存在计算SC恒功率充放电时瞬时温度的数学方程。在这项工作中，提出了一种新的数学公式，考虑到 SC 制造商提供的或通过实验室测试获得的电和热属性，它允许对温度作为时间函数（或者作为电流或内部或外部电压的函数）进行分析计算。还获得了用于计算瞬时电流、功率损耗和其他重要变量的高精度方程。通过将新方法获得的结果与微分方程的经典迭代数值解析得到的结果进行比较，证明了该建议的有效性。该方法的高精度使其可用于确定 SC 应用冷却系统尺寸的任务。
Temperature evolution in supercapacitors (SCs) when they are charged or discharged at a constant current is a well-known process. However, it does not exist any mathematical equation for the calculation of the instantaneous temperature of the SC when it is charged or discharged at constant power. In this work, a new mathematical formulation is presented, which allows for the analytical calculation of temperature as a function of time (or alternatively, as a function of the current or the internal or the external voltage), considering the electrical and thermal properties provided by the manufacturer of the SC or obtained through laboratory tests. Highly accurate equations for the calculation of instantaneous current, power losses and other significant variables are also obtained. The validity of the proposal is demonstrated by comparing the results obtained with the new method with those yielded from the classical iterative, numerical resolution of the differential equations. The high accuracy of the proposed approach makes it useful to be used in the task of sizing the cooling systems of SC applications.