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一种鲁棒的数据驱动不确定性量化方法及在压气机叶栅中的应用(航空发动机非定常流固热声耦合专栏 )

王浩浩,高丽敏,杨光,吴宝海   

  1. 西北工业大学
  • 收稿日期:2022-10-26 修回日期:2023-01-08 出版日期:2023-01-12 发布日期:2023-01-12
  • 通讯作者: 高丽敏
  • 基金资助:
    国家自然科学基金;国家自然科学基金;西北工业大学博创种子基金

A robust data-driven uncertainty quantification method and its application in compressor cascade

  • Received:2022-10-26 Revised:2023-01-08 Online:2023-01-12 Published:2023-01-12

摘要: 发展了一种基于预处理矩阵的数据驱动不确定性量化算法,用以解决实际工程中面临的实测数据稀缺及分布形式复杂的不确定性量化问题。通过鲁棒性分析、正交基函数的重构、非线性测试函数验证了所发展方法的有效性和精度。基于实测的叶片前缘半径和来流攻角随机波动数据,以某高亚声速压气机叶栅为研究对象,采用自主发展的不确定性量化方法定量评估了不确定性因素对叶栅气动性能的影响。结果表明:在设计攻角和大攻角下,叶栅真实的总压损失系数高于名义值的概率分别为83.6%和69.9%;大攻角工况下,叶栅总压损失的分散度约是设计工况下的2.4倍。前缘半径耦合来流攻角的不确定性引起前缘绕流发生较大波动,是导致叶栅总体性能退化及性能分散的主要原因。

关键词: 数据驱动, 不确定性量化, 压气机, 前缘半径, 来流攻角, 气动性能

Abstract: To solve the uncertainty quantification (UQ) problem of scarce measurement data and complex distribution in practical engineering, a novel data-driven UQ method is developed by using preconditioned matrix. The effectiveness and ac-curacy of the developed method are validated by robustness analysis, reconstruction of orthogonal basis functions and nonlinear test functions. Based on the measurement data of blade leading-edge radius and incoming incidence, the influence of uncertain parameters on the aerodynamic performance of a high subsonic compressor cascade is quantitatively evaluated by using the self-developed UQ method. Under the design and high incidence conditions, results show that the probability that the actual total pressure loss coefficient is higher than the nominal value is 83.6 % and 69.9 %, respectively. The dispersion of total pressure loss at high incidence is about 2.4 times of that at design condition. The uncertainties of leading-edge radius and incidence cause large fluctuations in the leading-edge flow process, which is the main factor leading to the overall performance degradation and performance dispersion of the cascade.

Key words: Data-driven, Uncertainty quantification, Compressor, Leading-edge radius, Incidence, Aerodynamic performance