A novel approach is proposed for optimal designing two-stage thermoelectric coolers using the biogeography-based optimization algorithm. For the comprehensiveness of the research, both types of two-stage coolers, including electrically serial and separated stages, have been investigated. Using the proposed procedure, first by selecting the most important performance parameters of the cooler, i.e. COP and the cooling capacity as objective functions, the efficiency and the validity of the approach are proved by comparing the results with results of the previous researchers. In all the examined cases, the proposed approach has led to the enhancing of the cooler performance. The results of single-objective optimization showed that using the proposed method, the cooling capacity and COP can be improved up to 17 % and 8.5 % compared to the previous designs, respectively. In the following, multi-objective optimization of thermoelectric coolers is conducted, taking into account both the objectives of the COP and the cooling capacity. Finally, Pareto optimal solutions and the exergetic efficiency of the optimized cooler were calculated for different values of the weight factor of the multi-objective function. The results of multi-objective optimization showed that by increasing the COP weight factor in the objective function, the exergetic efficiency of the refrigeration system enhances.

中文翻译：

---

提出级联热电冷却器的多目标优化程序，以实现最大冷却能力和 COP

提出了一种使用基于生物地理学的优化算法来优化设计两级热电冷却器的新方法。为了研究的全面性，对两种类型的两级冷却器（包括电气串联和分离级）进行了研究。使用所提出的方法，首先选择冷却器最重要的性能参数，即COP和冷却能力作为目标函数，通过将结果与先前研究人员的结果进行比较，证明了该方法的效率和有效性。在所有检查的案例中，所提出的方法都提高了冷却器的性能。单目标优化结果表明，采用该方法，与之前的设计相比，制冷量和COP可分别提高17%和8.5%。接下来，考虑 COP 和冷却能力的目标，对热电冷却器进行多目标优化。最后计算了多目标函数权重因子不同取值时的帕累托最优解和优化后冷却器的火能效率。多目标优化结果表明，通过增加目标函数中的COP权重因子，制冷系统的火能效率得到提高。