本研究利用簡易共軛梯度法(Simplified conjugate gradient method, SCGM)，探討脈衝管史特靈引擎之性能最佳化，以理論模式進行疊代分析，得設計參數最佳值。並將最佳化後的設計參數，代入理論模式，討論引擎在運轉過程中，溫度、壓力、質量等熱力性質變化，以及針對工作流體在各腔室因流動所造成的壓力降損失。最佳化分析中，除了單一目標函數僅對功率或熱效率進行最佳值搜尋外，本研究亦探討在目標函數中加入多重目標條件，同時針對功率與熱效率兩個目標進行最佳化。此目標函數將以權重分配比例大小進行最佳化疊代，由結果證明此方法確實可以應用於多目標最佳化。另外，在完全以引擎功率為考量，進行最佳化疊代，在六種設計參數收斂於最佳值後，根據此設計參數實際製作出一最佳化原型機。在實驗量測為填充一大氣壓空氣與加熱溫度1000 條件下，量測脈衝管史特靈引擎最大輸出功率，由基準組原型機22.35 W提升至31.83 W，整體性能提升1.42倍。

In this study, simplified conjugate gradient method is utilized for investigation of optimal performance of a pulse-tube Stirling engine. Design of new parameter is searched for optimization by the theoretical model. The optimal analysis not only searches simple power or thermal efficiency but seeks for both power output and thermal efficiency at the same time in the optimization. Adding the weighting ratio into the objective function, a result for the multi-objective condition can be tested and verified by simplified conjugate gradient method. By combining the thermodynamic model with simplified conjugate gradient method, six geometric parameters are optimized. A prototype engine was revised according to the optimal parameters, and the output of it could be increase from 22.35 W to 31.83 W under the initial pressure of 1 atm and heating temperature of 1000˚C. The toal performance improvement is 42%.

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