基于本征正交分解的离心压气机多学科设计优化

推进技术 ›› 2017, Vol. 38 ›› Issue (2): 323-333.

基于本征正交分解的离心压气机多学科设计优化

张立章^1,2,尹泽勇^1,2,米栋^1,2,钱正明²,高勇强²

北京航空航天大学能源与动力工程学院，北京 100191; 中国航空发动机集团湖南动力机械研究所，湖南株洲 412002,北京航空航天大学能源与动力工程学院，北京 100191; 中国航空发动机集团湖南动力机械研究所，湖南株洲 412002,北京航空航天大学能源与动力工程学院，北京 100191; 中国航空发动机集团湖南动力机械研究所，湖南株洲 412002,中国航空发动机集团湖南动力机械研究所，湖南株洲 412002,中国航空发动机集团湖南动力机械研究所，湖南株洲 412002

发布日期:2021-08-15
作者简介:民用飞机专项科研基金。作者简介:张立章，男，博士生，高级工程师，研究领域为航空发动机多学科设计优化。

Multidisciplinary Design Optimization for Centrifugal Compressor Based on Proper Orthogonal Decomposition

School of Energy and Power Engineering，Beijing University of Aeronautics and Astronautics，Beijing 100191，China; Hunan Aviation Powerplant Research Institute，AECC of China，Zhuzhou 412002，China,School of Energy and Power Engineering，Beijing University of Aeronautics and Astronautics，Beijing 100191，China; Hunan Aviation Powerplant Research Institute，AECC of China，Zhuzhou 412002，China,School of Energy and Power Engineering，Beijing University of Aeronautics and Astronautics，Beijing 100191，China; Hunan Aviation Powerplant Research Institute，AECC of China，Zhuzhou 412002，China,Hunan Aviation Powerplant Research Institute，AECC of China，Zhuzhou 412002，China and Hunan Aviation Powerplant Research Institute，AECC of China，Zhuzhou 412002，China

Published:2021-08-15

摘要/Abstract

摘要： 为探索离心压气机多学科设计优化策略，进一步提高优化效率，建立了基于本征正交分解(POD)技术的离心压气机优化系统。首先选择样本数据生成快照矩阵，进行本征正交分解后，提取了占支配性的少数几个基函数，并以POD系数作为新的设计变量，构建了降阶的设计空间，从而大幅度减少了设计变量的个数。然后与离心压气机多学科优化流程相结合，建立了一种高效率的优化策略。为验证系统的可行性，以极大化等熵效率为目标，针对最大转速状态和巡航状态两个计算工况对压气机进行优化。结果表明:该优化策略在有效减少设计变量个数方面具有优势，从而使优化问题能够快速的收敛，优化后两个工况下的设计点等熵效率分别提高了3.5%和4%。

关键词: 本征正交分解；优化策略；离心压气机；多学科设计优化；设计空间；降阶模型

Abstract: In order to explore the multidisciplinary design optimization strategy of centrifugal compressor and improve the optimization efficiency，an optimization system was development based on Proper Orthogonal Decomposition. Firstly，initial samples were selected to format the snapshot matrix. By retaining only the most significant components after POD analysis，a reduced order model of design space was constructed，in which the POD coefficients were acted as the new shape design variables. The method significantly reduces the number of design variables，linked with the multidisciplinary design optimization framework，offers a computational efficiency strategy for centrifugal compressor design. To verify the feasibility of the system，a compressor is optimized to achieve maximum isentropic efficiency at maximum speed state and cruise state. Results show the advantages of the scheme for effectively reducing the number of design variables，thus results into a faster convergence to the optimum. The isentropic efficiency of design point at two states has been improved by 3.5% and 4%，respectively.

Key words: Proper orthogonal decomposition；Optimization strategy；Centrifugal compressor；Multidisciplinary design optimization；Design space；Reduced order model

张立章,尹泽勇,米栋,钱正明,高勇强. 基于本征正交分解的离心压气机多学科设计优化[J]. 推进技术, 2017, 38(2): 323-333.

ZHANG Li-zhang^1,2,YIN Ze-yong^1,2,MI Dong^1,2,QIAN Zheng-ming²,GAO Yong-qiang². Multidisciplinary Design Optimization for Centrifugal Compressor Based on Proper Orthogonal Decomposition[J]. Journal of Propulsion Technology, 2017, 38(2): 323-333.

参考文献

[1] 何坤, 陈志鹏, 袁新. 离心压气机三维气动优化设计[J]. 工程热物理学报, 2009, 30(3): 393-396.
[2] 周荐辉, 樊未军, 田晓沛, 等. 某小型高速离心叶轮的优化设计[J]. 航空动力学报, 2009, 24(9): 2122-2127.
[3] 刘波, 杨晰琼, 曹志远, 等. 带分流叶片离心压气机优化设计 [J]. 推进技术 , 2014, 35(11): 1461-1468. (LIU Bo, YANG Xi-qiong, CAO Zhi-yuan, et al. Optimization Design of a Centrifugal Compressor with Splitters[J]. Journal of Propulsion Technology, 2014, 35(11): 1461-1468.)
[4] 刘小民, 张文斌. 采用遗传算法的离心叶轮多目标自动优化设计[J]. 西安交通大学学报, 2010, 44(1):31-35.
[5] 李磊, 李元生, 于明, 等. 离心压气机耦合松弛多学科设计优化方法[J]. 推进技术, 2011, 32(1):42-46. (LI Lei, LI Yuang-sheng, YU Ming, et al. Coupling-looseness Multidisciplinary Design Optimization of Centrifugal Compressor[J]. Journal of Propulsion Technology, 2011, 32(1): 42-46.)
[6] 王宏亮, 席光. 离心压气机叶轮多学科优化设计方法研究[J]. 工程热物理学报, 2010, 31(11): 1835-1838.
[7] 尹泽勇, 米栋, 吴立强, 等. 航空发动机多学科设计优化技术研究[J]. 中国工程科学, 2007, 9(6): 1-10.
[8] Kyoung?Ku?Ha,?Shin?Hyoung?Kang. An Optimization Method for Centrifugal Compressor Design Using the Surrogate Management Framework[C]. ASME-JSME-KSME 2011 Joint Fluids Engineering Conference, 2011.
[9] 米栋, 尹泽勇, 钱正明, 等. 基于试验设计及支持向量机的向心叶轮结构优化设计方法[J]. 航空动力学报, 2012, 27(10): 2346-2341.
[10] 周正贵. 压气机/风扇叶片自动优化设计的研究现状和关键技术[J]. 航空学报, 2008, 29(2): 257-266.
[11] 段焰辉, 蔡晋生. 基于Gappy POD方法的翼型流场分析[J]. 航空工程进展, 2010, 1(1): 41-44.
[12] 白俊强, 邱亚松, 华俊. 改进型Gappy POD翼型反设计方法[J]. 航空学报, 2013, 34(6): 1249-1260.
[13] 刘浩, 徐敏, 叶茂. 基于特征正交分解的跨声速流场重构和翼型反设计方法研究[J]. 空气动力学学报, 2012, 30(4): 540-545.
[14] 邱亚松, 白俊强, 华俊. 基于本征正交分解和代理模型的流场预测方法[J]. 航空学报, 2013, 34(6):1249-1260.
[15] 陈刚, 李跃明, 闫桂荣, 等. 基于POD降阶模型的气动弹性快速预测方法研究[J]. 宇航学报, 2009, 30(5): 1765-1769.
[16] 段焰辉, 蔡晋生, 刘秋洪. 基于代理模型方法的翼型优化设计[J]. 航空学报, 2011, 32(4): 617-627.
[17] My-Ha D, Lim K, Khoo B, et al. Real-Time Optimization Using Proper Orthogonal Decomposition: Free Surface Prediction Due to Underwater Bubble Dynamics[J].Computers and Fluids, 2007, 36(3): 499-512.
[18] LeGresley P, Alonso J. Airfoil Design Optimization Using Reduced Order Models Based on Proper Orthogonal Decomposition[R]. AIAA 2000-2545.
[19] Toal D J J, Bressloff N W, Keane A J, et al. Geometric Filtration Using Proper Orthogonal Decomposition for Aerodynamic Design Optimization[J]. AIAA Journal, 2010, 48( 5): 916-928.
[20] Satyajic S Ghoman, Zhicun Wang, Chen P C. A Pod-Based Reduced Order Design Scheme for Shape Optimization of Air Vehicles[R]. AIAA 2012-1808l.
[21] Satyajic S Ghoman, Darias sarhaddi, Zhicun Wang, et al. A Hybrid Optimization Strategy Using Design Space Evolution and Pod-Based Order Reduction[R]. AIAA 2012-5631.
[22] Sirovich L. Turbulence and Dynamics of Coherent Structures, Part 1: Coherent Structures[J]. Quarterly of Applied Mathematics, 1987, 45(3): 561-571.　收稿日期:2015-08-23；修订日期:2015-11-05。作者简介:民用飞机专项科研基金。作者简介:张立章,男,博士生,高级工程师,研究领域为航空发动机多学科设计优化。E-mail: 573207343@163.com(编辑:史亚红)