Centrifugal compressor impeller operates at stochastic boundary conditions. The operational uncertainties cause performance deviation from design value and consequently affect the reliability of the compressor. Considering the stochastic operational uncertainties in the early design stage, this paper presents an uncertainty quantification based optimization of centrifugal compressor impeller with splitter blades for aerodynamic robustness. The nonlinear response relation between the design variables, the aerodynamic boundary uncertainties and the impeller performance is modelled by a combination of the Latin Hypercube Sampling, the three dimensional CFD, the Kriging surrogate model and the Non-intrusive Probability Collocation method. A sensitivity analysis with single and multiple random geometry variations is carried out to identify the most sensitive parameters. The effects of rotor speed uncertainty on pressure ratio and efficiency are quantified. A case study is conducted to search for optimal impellers with higher performance and lower sensitivity to boundary uncertainty using NSGA-II. The optimization is verified by the Monte Carlo method. The results demonstrate that the aerodynamic robustness of the compress impeller with splitter blades is enhanced by the proposed approach, which provides references for compressors, turbines and other turbo machinery.

中文翻译：

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基于不确定性量化的离心压缩机叶轮优化在随机运行条件下的气动鲁棒性

离心式压缩机叶轮在随机边界条件下运行。运行的不确定性导致性能偏离设计值，从而影响压缩机的可靠性。考虑到早期设计阶段的随机运行不确定性，本文提出了一种基于不确定性量化的带有分流叶片的离心压缩机叶轮的优化，以提高空气动力学鲁棒性。设计变量、气动边界不确定性和叶轮性能之间的非线性响应关系通过拉丁超立方采样、三维 CFD、克里金代理模型和非侵入式概率搭配方法的组合进行建模。使用单个和多个随机几何变化进行敏感性分析，以确定最敏感的参数。转子速度不确定性对压力比和效率的影响被量化。进行了一个案例研究，以使用 NSGA-II 搜索具有更高性能和对边界不确定性更低敏感度的最佳叶轮。优化通过蒙特卡罗方法进行验证。结果表明，所提出的方法增强了带分流叶片的压缩叶轮的气动鲁棒性，为压气机、涡轮机和其他涡轮机械提供了参考。进行了一个案例研究，以使用 NSGA-II 搜索具有更高性能和对边界不确定性更低敏感度的最佳叶轮。优化通过蒙特卡罗方法进行验证。结果表明，所提出的方法增强了带分流叶片的压缩叶轮的气动鲁棒性，为压缩机、涡轮机和其他涡轮机械提供了参考。进行了一个案例研究，以使用 NSGA-II 寻找具有更高性能和对边界不确定性更低敏感度的最佳叶轮。优化通过蒙特卡罗方法进行验证。结果表明，所提出的方法增强了带分流叶片的压缩叶轮的气动鲁棒性，为压气机、涡轮机和其他涡轮机械提供了参考。