本研究探討脈衝管史特靈引擎的理論模式，包含引擎從啟動至穩定運轉之動態特性，與引擎內部腔室之質量、壓力以及溫度等熱力性質變化，並考慮工作流體在各腔室間流動造成的壓力降與熱傳影響。脈衝管史特靈原型引擎幾何設計參數經參數分析後，發現連接管的管徑與管長、加熱室的鰭片數等參數可進行最佳化，因此本研究利用熱力模式結合多參數最佳化方法，搜尋最佳化參數組合。本研究所使用最佳化方法為簡易共軛梯度法(Simplified conjugate gradient method, SCGM)，本法可針對多個設計參數同時進行最佳化搜尋，在固定其他設計參數下，搜尋設計參數組合改善引擎設計，使脈衝管史特靈引擎得以輸出最大的功率。經最佳化後，在常壓空氣、加熱溫度 、引擎轉速1000 rpm時，引擎功率由22.76 W提升至32.56 W，性能提升約43.06%。

This thesis is intended for investigation of theoretical model of the pulse-tube Stirling engine. The model includes dynamic and thermodynamic modules. The properties of dynamic and thermodynamic in each chamber of the engine are predicted. The pressure drop and heat transfer are also considered. The parametric analysis results show that the geometric parameters of the engine have optimal design values, such as the length and diameter of connect tube, the number of fin in the heater. In this study, thermodynamic module is incorporated with simplified conjugate gradient method (SCGM) to optimize three geometric parameters. According to the prediction result after optimization, the power output could increase from 22.76W to 32.56W under 1-atm, 1000C at 1000 rpm of rotation speed, and the performance improvement is 43.06%.

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