本研究以有限時間熱力學觀點，研究史特靈引擎與熱電裝置聯合系統之性能最佳化分析。考慮太陽能集熱器與史特靈引擎、史特靈引擎與熱電裝置之間的不可逆性熱傳，假設熱傳為牛頓熱傳定律，推導出熱機功率作為目標函式，以集熱器集熱溫度、熱機熱效率作為最佳化參數，使用基因演算法求出系統最大輸出功率，得到系統最佳設計參數，並模擬熱機冷端壁面緊貼熱電裝置，得知熱電裝置不影響熱機排熱溫度。
以熱機排熱溫度作為熱電裝置高溫熱儲溫度，透過熱電裝置利用熱機排熱端溫度與環境溫度之間溫差作功率輸出，改變熱電裝置內半導體個數，求出熱電裝置輸出最大功率時所對應之最佳電流值以及最佳半導體數目，由於輸出電流為短路電流的二分之一倍時，熱電裝置有最大輸出功率，因此可藉由調整外部負載電阻使熱電裝置有最大的輸出功率。
本文為設計者提供太陽能史特靈熱機與熱電裝置輸出最大功率最佳化設計之參考。

Based on finite time thermodynamics, this paper studies the performance optimization of the hybrid system which combined Stirling engine with thermoelectric devices. The heat transference in the heat exchangers between the solar collector and Stirling engines is considered in associated with the irreversibility of Stirling engines and thermoelectric device. The heat transfer law is assumed by Newton's law. Thus, the power of Stirling engine is derived as optimized objective function, and the optimized parameters are the temperature of the solar collector and the thermal efficiency of Stirling heat engine. The maximum power corresponding to optimized parameters is determined using Genetic Algorithm. It also reveals that the thermoelectric devices do not affect the emitted temperature of the Stirling heat engine with the thermoelectric devices close to the cold side wall of heat engines.
The emitted temperature of Stirling heat engine is as the high-temperature of heat reservoir. We have found the maximum power of the thermoelectric devices according to the number of semiconductor and obtained the optimized parameters of the device.
Finally, the maximum power for Stirling engine and the thermoelectric device are the power output of both system and find the total system efficiency and the corresponding physical parameters. The results are of importance to provide good guideline for design a hybrid system of Stirling heat engine and thermoelectric device.

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