一般化工程序大多為時間與空間函數的狀態分佈參數系統，本研究所討論的系統為具有高放熱反應的填充床反應系統，該系統模式為一複雜的非線性偏微分方程組，而本研究利用正交排列法將偏微分方程簡化為常微分方程組；正交排列法為解決偏微分方程式中最具方便性者。在了解系統行為後，我們設定了不同的目標函數，以最適化方法中之遺傳演算法來尋找最佳參數值，本研究主要對觸媒孔隙度的大小對於生產成本以及苯二甲酸酐在出口處的產量的影響做探討，希望能降低生產成本，使用較少的觸媒來生產苯二甲酸酐。

Most chemical engineering processes are process systems with state distributed in time and space. This research is the highly exothermic reaction system model within the packed bed reactor which is a set of complex partial differential equations, and they can be solved by the orthogonal collocation method, which is probably the most widely approach to the solution of the partial differential equation. After comprehending the behavior of the system, we set three different objective functions. We use the method of genetic algorithm one of the optimal methods to search the best optimal values for the objective functions. In this research, we mainly discuss the influence of amount of catalyst porosity to the production costs and the flux of Phthalic Anhydride at exit. In that way, we can produce Phthalic Anhydride by lower production costs.

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