Two multi-objective optimization designs of the rotor blade for an axial transonic compressor are carried out in this study. Among them, the optimization of the blade alone is called blade-only optimization. The optimization of the blade integrated with axial slot casing treatment (ASCT) is called blade-integrated optimization. During the optimization stage, the values of sweep and lean in the tip region are used as the optimal variables. The stall margin improvement and the efficiency at the design-operating-point are adopted as the optimal objectives. The Radial Basis Function (RBF) approximation is used to construct the surrogate model, and the non-dominated sorting genetic algorithm II (NSGA-II) is selected to search for Pareto fronts. The optimal individuals selected from the Pareto fronts of the two optimizations are compared and analyzed. The coupling effect between the blade and ASCT is studied in this paper to illustrate the advantage of the integrated optimization. The results show that the blade-integrated optimization can optimize the coupling effect, which strengthens the ability of the ASCT to eliminate the blockage while ensuring little efficiency loss at the design point. However, the application of ASCT for the blade-only optimized blade may reduce efficiency and lead to a premature stall, which is caused by the failure to eliminate the negative effect of the coupling. Compared with the blade-only optimized blade, the application of ASCT for the blade-integrated optimized blade increases the stall margin improvement from 10.77% to 14.88%, and increases the efficiency improvement from −0.3% to −0.12%.

本研究对轴流式跨音速压气机转子叶片进行了两项多目标优化设计。其中，单独对刀片进行优化称为 blade-only optimization。结合轴向槽套管处理（ASCT）的叶片优化称为叶片综合优化。在优化阶段，尖端区域的后掠和倾斜值被用作最优变量。设计操作点的失速裕度改进和效率被采用作为最优目标。采用径向基函数（RBF）近似构建代理模型，选择非支配排序遗传算法Ⅱ（NSGA-Ⅱ）搜索帕累托前沿。比较分析从两次优化的帕累托前沿中选出的最优个体。本文研究了叶片与 ASCT 之间的耦合效应，以说明集成优化的优势。结果表明，叶片一体化优化可以优化耦合效果，增强了ASCT消除堵塞的能力，同时保证了设计点的效率损失很小。然而，ASCT 应用于仅叶片优化叶片可能会降低效率并导致过早失速，这是由于未能消除耦合的负面影响造成的。与仅叶片优化叶片相比，叶片集成优化叶片应用ASCT，失速裕度提升从10.77%提高到14.88%，效率提升从-0.3%提高到-0.12%。