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A hybrid analytical‐computational method for three dimensional modeling of thermoelectric generators
International Journal of Energy Research ( IF 4.3 ) Pub Date : 2020-09-14 , DOI: 10.1002/er.5960
Hamid Reza Fallah Kohan 1 , Mohammad Eslami 1 , Khosrow Jafarpur 1
Affiliation  

A hybrid analytical‐computational method is developed to calculate the temperature distribution and electrical performance of thermoelectric generators (TEG). The geometrical complexities of thermo‐elements in real modules are ignored and the TEG is assumed to be made of five distinct layers. The power output is obtained by algebraic expressions and considered as a heat sink expression in the energy equation. The coupling of thermoelectric and energy equations is handled by developing user defined functions (UDF) in the numerical solution procedure. Accordingly, the heat flow is divided into two parts accounting for the thermoelectric phenomena and the Fourier conduction in the thermoelectric layer. The model is validated and the accuracy of the results is examined against two detailed simulations as well as the available experimental data. It is shown that the model is accurate with an average deviation of 8% to 10% compared to the experiments which is only 4% to 5% higher than the detailed rigorous numerical solutions. The influence of Thomson effect is also found to be around 1%. Moreover, the effect of element numbers with a certain amount of material is investigated and it is revealed that the appropriate number of elements depends on the module temperature due to the Thomson effect.

中文翻译:

热电发电机三维建模的混合解析计算方法

开发了一种混合分析计算方法来计算热电发电机(TEG)的温度分布和电气性能。实际模块中热元件的几何复杂性被忽略,而TEG假定由五个不同的层组成。通过代数表达式获得功率输出,并在能量方程中将其视为散热片表达式。通过在数值解过程中开发用户定义的函数(UDF)来处理热电方程和能量方程的耦合。因此,考虑到热电现象和热电层中的傅立叶传导,热流分为两部分。通过两个详细的模拟以及可用的实验数据,验证了模型并检查了结果的准确性。结果表明,该模型是准确的,与实验相比平均偏差为8%至10%,仅比详细的严格数值解高出4%至5%。还发现汤姆森效应的影响约为1%。此外,研究了一定数量的材料对元素数量的影响,结果表明,由于汤姆森效应,合适的元素数量取决于模块温度。
更新日期:2020-09-14
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