轴流压气机串列叶栅参数优化研究

推进技术 ›› 2017, Vol. 38 ›› Issue (10): 2224-2234.

轴流压气机串列叶栅参数优化研究

程昊,刘波,李俊,杨小东

西北工业大学动力与能源学院，陕西西安 710129,西北工业大学动力与能源学院，陕西西安 710129,西北工业大学动力与能源学院，陕西西安 710129,西北工业大学动力与能源学院，陕西西安 710129

发布日期:2021-08-15
作者简介:程昊，男，博士生，研究领域为压气机气动热力学。
基金资助:
国家自然科学基金(51676162)。

A Study of Parameter Optimization of Axial Compressor Tandem Cascade

School of Power and Energy，Northwestern Polytechnical University，Xi’an 710129，China,School of Power and Energy，Northwestern Polytechnical University，Xi’an 710129，China,School of Power and Energy，Northwestern Polytechnical University，Xi’an 710129，China and School of Power and Energy，Northwestern Polytechnical University，Xi’an 710129，China

Published:2021-08-15

摘要/Abstract

摘要： 为发展串列叶栅优化设计体系，首先提出了串列叶型的参数化造型方法，并对某传统叶栅进行了串列改型，设计点总压损失系数下降了41.8%，静压升上升了0.92%。发展了主从式并行微分进化算法，并对该串列叶栅的5个配置参数进行了数值优化，设计点总压损失系数降低了8.67%，静压升提高了0.3%。采用偏相关分析法对优化全过程进行数据挖掘，揭示了5个配置参数对串列叶栅性能的影响程度。提出并验证了串列叶栅前后叶的弯角和弦长分布对攻角特性的影响关系，并定义一个新的参数用于衡量这一影响关系，实现了对攻角特性的调节，得到了全工况更优的方案。

关键词: 串列叶栅；流动控制；微分进化；轴流压气机；叶型造型；并行优化

Abstract: To develop an optimization system for tandem cascades， an algorithm of tandem airfoil parameterization is first proposed. A conventional cascade is then redesigned as a tandem cascade， which decreases the total loss coefficient by 41.8% and increases the static pressure rise by 0.92% at design point. A master-slave parallel differential evolution algorithm is developed for the following optimization. Five configuration parameters of the tandem cascade are optimized， which decreases the total loss coefficient by 8.67% and increases the static pressure rise by 0.3% at design point. A partial correlation coefficient analysis of optimization history data reveals the influence priority of the five configuration parameters on tandem cascade performance. It is proposed and verified that the front-rear distributions of camber and chord can affect the performances at different incidence angles. A new parameter is then defined to measure the distribution above and able to control the characteristics at different incidence angles. A more superior design at overall incidence angles is achieved by adjusting that parameter.

Key words: Tandem cascade；Flow control；Differential evolution；Axial compressor；Airfoil geometry；Parallel optimization

程昊,刘波,李俊,杨小东. 轴流压气机串列叶栅参数优化研究[J]. 推进技术, 2017, 38(10): 2224-2234.

CHENG Hao,LIU Bo,LI Jun,YANG Xiao-dong. A Study of Parameter Optimization of Axial Compressor Tandem Cascade[J]. Journal of Propulsion Technology, 2017, 38(10): 2224-2234.

参考文献

[1] Gostelow J P. Cascade Aerodynamics[M]. UK: Pergamon Press, 1984.
[2] Railly J W, Elsarha M E. An Investigation of the Flow Through Tandem Cascades[C]. Oaks: SAGE Publications, 1965.
[3] Sachmann J, Fottner L. Highly Loaded Tandem Compressor Cascade with Variable Camber and Stagger[C]. Ohio: ASME 1993 International Gas Turbine and Aeroengine Congress and Exposition, 1993.
[4] Sanger N. Analytical Study of the Effects of Geometric Changes on the Flow Characteristics of Tandem-Bladed Compressor Stators[R]. NASA TN-D-6264, 2005.
[5] Falla G C. Numerical Investigation of the Flow in Tandem Compressor Cascades[D]. Vienna: Vienna University of Technology, 2005.
[6] McGlumphy J. Numerical Investigation of Subsonic Axial-Flow Tandem Airfoils for a Core Compressor Rotor[D]. Virginia: Virginia Technology, 2008.
[7] Wu G, Zhuang B, Guo B. Experimental Investigation of Tandem Blade Cascades with Double-Circular Arc Profiles[J]. International Journal of Turbo & Jet Engines, 1985, 5(1-4): 163-170.
[8] 庄表南, 郭秉衡. 高亚音速压气机静子串列叶栅试验研究[J]. 航空动力学报, 1986, 1(1): 37-40.
[9] 庄表南, 郭秉衡. 双圆弧单排叶栅和串列叶栅流动性能的试验研究[J]. 航空动力学报, 1989, 4(2): 169-172.
[10] 周正贵, 吴国钏. 自由流紊流度对串列叶栅性能的影响[J]. 航空动力学报, 1996, 11(1): 1-3.
[11] 周正贵, 吴国钏. 串列叶栅尾迹特性的实验研究[J]. 南京航空航天大学学报, 1994, (4): 555-559.
[12] 吴国钏. 串列叶栅理论[M]. 北京:国防工业出版社, 1996.
[13] 王掩刚, 魏崃, 陈为雄. 大弯角串列叶型优化设计与数值分析[J]. 推进技术, 2014, 35(11): 1469-1474. (WANG Yan-gang, WEI Lai, CHEN Wei-xiong. Optimization and Numerical Simulation of High-Turning Tandem Cascade[J]. Journal of Propulsion Technology, 2014, 35(11): 1469-1474.)
[14] 宋召运, 刘波, 程昊, 等. 基于改进粒子群算法的串列叶型优化设计[J]. 推进技术, 2016, 37(8):1469-1476. (SONG Zhao-yun, LIU Bo, CHENG Hao, et al. Optimization of Tandem Blade Based on Modified[J]. Journal of Propulsion Technology, 2016, 37(8): 1469-1476.)
[15] 魏巍, 刘波, 李俊. 大弯角串列叶栅间隙效应数值研究[J]. 航空工程进展, 2013, 4(4): 443-449.
[16] 魏巍, 刘波, 曹志远, 等. 高负荷小型压气机大弯角串列静子特性[J]. 航空动力学报, 2013, 28(5):1066-1073.
[17] 杨松霖, 滕金芳, 羌晓青. 周向偏距对串列叶栅气动性能的影响[J]. 节能技术, 2016, 34(2): 129-133.
[18] 沈淳, 滕金芳. 轴向相对位置对串列叶栅气动性能影响的数值研究[J]. 科学技术与工程, 2013, 13(5):1238-1241.
[19] 宋亚慧, 李秋实, 吴宏. 超声来流串列叶栅后排位置对流动影响的数值研究[C]. 北京:中国航空学会航空发动机数值仿真与数字化设计学术交流会, 2008.
[20] Mcnally W D, Crouse J E. Fortran Program for Computing Coordinates of Circular Arc Single and Tandem Turbomachinery Blade Sections on a Plane[R]. NASA TN D-6020, 1970.
[21] Storn R. On the Usage of Differential Evolution for Function Optimization[C]. Berkeley: NAFIPS.1996 Biennial Conference of the North American. 1996: 519-523.
[22] Storn R, Price K. Differential Evolution-A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces[J]. Journal of Global Optimization, 1997, 11(4): 341-359.
[23] Storn R, Price K. Differential Evolution-A Simple and Efficient Adaptive Scheme for Global Optimization over Continuous Spaces[J]. Journal of Global Optimization, 1995, 23(4): 341-359.
[24] Storn R. System Design by Constraint Adaptation and Differential Evolution[J]. IEEE Transactions on Evolutionary Computation, 1999, 3(1): 22-34.
[25] Das S, Suganthan P N. Differential Evolution: A Survey of the State-of-the-Art[J]. IEEE Transactions on Evolutionary Computation, 2011, 15(1): 4-31.
[26] Spalart P, Allmaras S. A One-Equation Turbulence Model for Aerodynamic Flows[R]. AIAA 92-0439.
[27] 宁方飞, 徐力平. Spalart—Allmaras湍流模型在内流流场数值模拟中的应用[J]. 工程热物理学报, 2001, (3): 304-306.
[28] Deshazer E W. An Evaluation of Turbulence Models for Subsonic Compressible Internal Flows[D]. USA: Dissertations & Theses-Gradworks, 2007.
[29] Ning F, Xu L. Numerical Investigation of Transonic Compressor Rotor Flow Using an Implicit 3D Flow Solver with One-Equation Spalart-Allmaras Turbulence Model[C]. Orlando: ASME Turbo Expo 2001: Power for Land, Sea, and Air, 2001.
[30] Messenger H E, Kennedy F E. Two Stage Fan.1: Aerodynamic and Mechanical Design[R]. NASA CR-120859, 1972.　　　　　　　　　　　　　*　收稿日期:2017-04-28；修订日期:2017-06-21。基金项目:国家自然科学基金(51676162)。作者简介:程昊,男,博士生,研究领域为压气机气动热力学。E-mail: chenghao144@sina.com(编辑:史亚红)