本研究應用有限時間熱力學探討具熱共生裝置之不同熱機的性能最佳化。分析方法採用「整體有用能率」研究穩態穩流熱力系統中的功率輸出以及有用熱的輸出。研究的主題包括內可逆具熱共生之奧圖熱循環、內可逆具熱共生之阿特金森熱循環，以及內不可逆具熱共生之焦耳–布雷登熱循環。研究結果發現，採用整體有用能率為目標函數進行最佳化研究下，不但可決定系統中整體有用能率的最大值外，也確認了在整體有用能率為最大時系統對應之熱效率值。
除此之外，本文亦探討系統參數(如：壓力比參數、使用溫度之比)對最大整體有用能率與其所對應之熱效率的影響，並分析無因次化之整體有用能率與熱效率間的變化關係。對於在內不可逆具熱共生之焦耳–布雷登熱循環中，本文分析不同的不可逆情形對系統中整體有用能率的影響。
因此，運用「整體有用能率」研究具熱共生之熱力循環系統，不但可以節省能源的耗用，更可依照系統參數的關係以降低工業成本。

In this study, the finite-time thermodynamics method has been utilized on the performance optimization of cogeneration cycles. By using the total useful energy rate method to study the power and the useful heat output in a steady-state-flow system had been investigated. The research includes endoreversible Otto cogeneration cycle, endoreversible Atkinson cogeneration cycle, and internal irreversible Joule-Brayton cogeneration cycle. If the total useful energy-rate is an objective function on optimization, the total useful energy rate of the cycle is maximized and the efficiency at maximum total useful energy rate is also analyzed.
Moreover, the effects of various cycle parameters (i.e., pressure-ratio parameter and user’s temperature ratio) on the maximum dimensionless total useful energy rate and the efficiency at maximum total useful energy rate have been assessed. Variations of dimensionless total useful energy rate on the heat efficiency have also been analyzed. In the internal irreversible Joule-Brayton cogeneration cycle, the effects of various irreversible situations on total useful energy rate of the cycle are discussed.
Hence, the application of the total useful energy rate method for researching cogeneration cycles can not only save the consumption of energy, but reduce the industrial cost by the relation of system parameters.

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