耦合能量和熵产分析的热电制冷器多目标优化

能量和熵产最小化理论已广泛应用于热电系统优化,然而平衡制冷量最大化和熵产最小化的热电系统参数优化研究较少。本文基于能量平衡和熵产最小化理论,通过效率单元法和稳态热传递,建立了热电制冷器(TEC)的热力学数学模型,并评价系统的热力学性能。在固定冷端温度条件下,考虑热物性参数的温度依赖特性,研究了包括热电臂臂长L、半导体对数N及面积比率F等几何参数对制冷器制冷量和熵产的影响。同时,构建了多目标函数J以实现制冷量和熵产的耦合,并利用简化共轭梯度法(SCGM)对系统参数进行多参数多目标的优化。结果表明,多参数多目标能有效优化热电制冷器的性能,相比于初始几何结构,耦合评价指标J下降约为初始值的30%。

Multi - objective optimization of thermoelectric refrigerator coupled with energy and entropy generation analysis

The theory of energy and entropy generation minimization has been widely used in thermoelectric system optimization. However, the balance of cooling capacity maximization and entropy generation minimization are less studied. Based on the theory of energy balance and entropy generation minimization, the thermodynamic model of thermoelectric cooler (TEC) was established by efficiency number of transfer units method(ε-NTV) and steady state heat conduction, and the performance of the system was further evaluated. Under the fixed cold junction temperature, considering the temperature dependence of thermophysical parameters, the effects of three geometric parameters (the leg length L,the semiconductor pair number N and area ratio F) on the cooling capacity and entropy generation of the TEC were studied. The multi-objective function J was also constructed to achieve the coupling of cooling capacity and entropy generation. The simplified conjugate gradient method (SCGM) was used to optimize the multi-parameter multi-objectives of the system. The results show that the multi-parameter multi-objective can effectively optimize the performance of the TEC. Compared with the initial geometry, the multi-objective function J decreases to about 30% of the initial value.