Optimization Strategy for an Axial-Flow Compressor Using a Region-Segmentation Combining Surrogate Model
Publication: Journal of Aerospace Engineering
Volume 31, Issue 5
Abstract
Axial-flow compressors work against varying inlet boundary layers in real working conditions and are therefore required to perform well and robustly. This paper presents a surrogate-based optimization procedure applied to a transonic compressor to improve its efficiency and reduce the sensitivity of efficiency variation to uncertain inlet boundary layer thicknesses while maintaining the total pressure ratio. The aerodynamic optimization of compressors involves high-fidelity computational models that would cost high amounts of computational time. To implement the optimization, a region-segmentation combining surrogate model is used that is based on combinational use of the region-segmentation idea and combining surrogate modeling method to further improve prediction accuracy and reduce computational cost. Based on the region-segmentation combining surrogate model, an optimization procedure is constructed and applied to a transonic compressor. The computational results of the benchmark function and compressor optimization indicate the validity of the region-segmentation combining surrogate model in improving the prediction accuracy and computational efficiency. The optimization procedure also presents the ability to improve the compressor efficiency and make the compressor perform well and robustly at uncertain inlet boundary layer thicknesses while maintaining the total pressure ratio. The achieved aerodynamic benefits of the compressor have demonstrated the feasibility and effectiveness of the optimization strategy.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors would like to gratefully acknowledge the support by the National Natural Science Foundation of China (Nos. 51636001 and 51706008), China Postdoctoral Science Foundation (No. 2017M610742), Aeronautics Power Foundation (No. 6141B090315), the support by the Academic Excellence Foundation of BUAA for Ph.D. Students, the support by the Innovation Practice Foundation of BUAA for Graduates (YCSJ-01-2016-03), and the support by the China Scholarship Council (CSC) for joint Ph.D. students.
References
Brossman, J. R., P. R. Ball, N. R. Smith, J. C. Methel, and N. L. Key. 2014. “Sensitivity of multistage compressor performance to inlet working conditions.” J. Propul. Power 30 (2): 407–415. https://doi.org/10.2514/1.B34742.
Caboni, M., M. S. Campobasso, and E. Minisci. 2016. “Wind turbine design optimization under environmental uncertainty.” J. Eng. Gas Turbines Power 138 (8): 082601. https://doi.org/10.1115/1.4032665.
Chen, X., and R. K. Agarwal. 2013. “Optimization of wind turbine blade airfoils using a multi-objective genetic algorithm.” J. Aircraft 50 (2): 519–527. https://doi.org/10.2514/1.C031910.
Chen, X., and R. K. Agarwal. 2014. “Shape optimization of airfoils in transonic flow using a multi-objective genetic algorithm.” Proc. Inst. Mech. Eng. Part G J. Aerosp. Eng. 228 (9): 1654–1667. https://doi.org/10.1177/0954410013500613.
Denton, J. D., and L. P. Xu. 1998. “The exploitation of three-dimensional flow in turbomachinery design.” Proc. Inst. Mech. Eng., Part C J. Mech. Eng. 213 (2): 125–137. https://doi.org/10.1243/0954406991522220.
Dunn, M. C., B. Shotorban, and A. Frendi. 2011. “Uncertainty quantification of turbulence model coefficients via latin hypercube sampling method.” J. Fluids Eng. 133 (4): 041402. https://doi.org/10.1115/1.4003762.
Fang, K. T., D. K. J. Lin, P. Winker, and Y. Zhang. 2000. “Uniform design: Theory and application.” Technometrics 42 (3): 237–248. https://doi.org/10.1080/00401706.2000.10486045.
Guo, S., F. Duan, H. Tang, S. C. Lim, and M. S. Yip. 2014. “Multi-objective optimization for centrifugal compressor of mini turbojet engine.” Aerosp. Sci. Technol. 39: 414–425. https://doi.org/10.1016/j.ast.2014.04.014.
He, L., and P. Shan. 2012. “Three-dimensional aerodynamic optimization for axial-flow compressors based on the inverse design and the aerodynamic parameters.” J. Turbomach 134 (3): 031004. https://doi.org/10.1115/1.4003252.
He, X., and X. Zheng. 2017. “Performance improvement of transonic centrifugal compressors by optimization of complex three-dimensional features.” Proc. Inst. Mech. Eng. Part G J. Aerosp. Eng. 231 (14): 2723–2738.
Ju, Y. P., and C. H. Zhang. 2012. “Multi-point robust design optimization of wind turbine airfoil under geometric uncertainty.” Proc. Inst. Mech. E Part A J. Power Energy 226 (2): 245–261. https://doi.org/10.1177/0957650911426540.
Khalfallah, S., A. Ghenaiet, E. Benini, and G. Bedon. 2015. “Surrogate-based shape optimization of stall margin and efficiency of a centrifugal compressor.” J. Propul. Power 31 (6): 1607–1620. https://doi.org/10.2514/1.B35543.
Kim, J. H., J. W. Kim, and K. Y. Kim. 2011. “Axial-flow ventilation fan design through multi-objective optimization to enhance aerodynamic performance.” J. Fluids Eng. 133 (10): 101101. https://doi.org/10.1115/1.4004906.
Kim, J. H., and K. Y. Kim. 2012. “Analysis and optimization of a vaned diffuser in a mixed flow pump to improve hydrodynamic performance.” J. Fluids Eng. 134 (7): 071104. https://doi.org/10.1115/1.4006820.
Lange, M., K. Vogeler, R. Mailach, and S. E. Gomez. 2013. “An experimental verification of a new design for cantilevered stators with large hub clearances.” J. Turbomach. 135 (4): 041022. https://doi.org/10.1115/1.4007612.
Li, B., C. Gu, X. Li, and T. Liu. 2016. “Numerical optimization for stator vane settings of multi-stage compressors based on neural networks and genetic algorithms.” Aerosp. Sci. Technol. 52: 81–94. https://doi.org/10.1016/j.ast.2016.02.024.
Lian, Y. S., and M. S. Liou. 2005. “Multiobjective optimization using coupled response surface model and evolutionary algorithm.” AIAA J. 43 (6): 1316–1325. https://doi.org/10.2514/1.12994.
Lu, H., and Q. Li. 2016. “Analysis and application of a new type of sweep optimization on cantilevered stators for an industrial multistage axial-flow compressor.” Proc. Inst. Mech. E Part A J. Power Energy 230 (1): 44–62. https://doi.org/10.1177/0957650915607389.
Lu, H., Q. Li, and T. Pan. 2017. “A region-segmentation combining surrogate model based on L-indicator and N-fold cross-validation technique.” Eng. Optim. 49 (9): 1502–1522. https://doi.org/10.1080/0305215X.2016.1257212.
Montomoli, F., M. Massini, and S. Salvadori. 2011. “Geometrical uncertainty in turbomachinery: Tip gap and fillet radius.” Comput. Fluids 46 (1): 362–368. https://doi.org/10.1016/j.compfluid.2010.11.031.
Okui, H., T. Verstraete, R. A. Van den Braembussche, and Z. Alsalihi. 2013. “Three-dimensional design and optimization of a transonic rotor in axial flow compressors.” J. Turbomach 135 (3): 031009. https://doi.org/10.1115/1.4006668.
Schuëller, G. I., and H. A. Jensen. 2008. “Computational methods in optimization considering uncertainties: An overview.” Comput. Method Appl. Mech Eng. 198 (1): 2–13. https://doi.org/10.1016/j.cma.2008.05.004.
Song, P., J. J. Sun, and K. Wang. 2014. “Axial flow compressor blade optimization through flexible shape tuning by means of cooperative co-evolution algorithm and adaptive surrogate model.” Proc. Inst. Mech. E Part A J. Power Energy 228 (7): 782–798. https://doi.org/10.1177/0957650914541647.
Vasu, A., and R. V. Grandhi. 2014. “Response surface model using the sorted k-fold approach.” AIAA J. 52 (10): 2336–2341. https://doi.org/10.2514/1.J052913.
Viana, F. A. C., V. Picheny, and R. Haftka. 2010. “Using cross validation to design conservative surrogates.” AIAA J. 48 (10): 2286–2298. https://doi.org/10.2514/1.J050327.
Wadia, A. R., P. N. Szucs, and D. W. Crall. 1998. “Inner workings of aerodynamic sweep.” J. Turbomach 120 (4): 671–682. https://doi.org/10.1115/1.2841776.
Wang, Y. G., W. X. Chen, C. H. Wu, and S. Y. Ren. 2015. “Effects of tip clearance size on the performance and tip leakage vortex in dual-rows counter-rotating compressor.” Proc. Inst. Mech. Eng. Part G J. Aerosp. Eng. 229 (11): 1953–1965. https://doi.org/10.1177/0954410014562483.
Information & Authors
Information
Published In
Copyright
©2018 American Society of Civil Engineers.
History
Received: Jul 31, 2017
Accepted: Apr 3, 2018
Published online: Jun 28, 2018
Published in print: Sep 1, 2018
Discussion open until: Nov 28, 2018
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.