Multi-Objective Aerodynamic Optimization of a High-Speed Train Head Shape Based on an Optimal Kriging Model

Document Type : Regular Article

Authors

1 State Key Laboratory of Heavy Duty AC Drive Electric Locomotive Systems Integration

2 CRRC Zhuzhou Locomotive Co.,Ltd. Zhuzhou 412001,China

3 Key Laboratory of Traffic Safety on Track, Ministry of Education, School of Traffic & Transportation Engineering, Central South University, Changsha, 410075, China

4 Joint International Research Laboratory of Key Technology for Rail Traffic Safety, Central South University, Changsha, 410075, China

5 National & Local Joint Engineering Research Center of Safety Technology for Rail Vehicle, Changsha, 410075, China

Abstract

An optimal Kriging surrogate model based on a 5-fold cross-validation method and improved artificial fish swarm optimization is developed for improving the aerodynamic optimization efficiency of a high-speed train running in the open air. The developed optimal Kriging model is compared with the original Kriging model in two test sample points, and the prediction errors are all reduced to within 5%. Thus, the optimal Kriging model is selected for use in each iteration to approximate the CFD simulation model of a high-speed train in subsequent optimization. After that, the strong Pareto evolutionary algorithm II (SPEA2) is adopted to obtain a series of Pareto-optimal solutions. Based on the above work, a multi-objective aerodynamic optimization design for the head shape of a high-speed train is performed using a free-form deformation (FFD) parameterization approach. After optimization, the aerodynamic drag coefficient of the head car and the aerodynamic lift coefficient of the tail car are reduced by 5.2% and 32.6%, respectively. The results demonstrate that the optimization framework developed in this paper can effectively improve optimization efficiency.

Keywords


Blazek, J. (2005). Computational fluid dynamics: principles and applications. Elsevier, Butterworth-Heinemann, Oxford.##
Chen, J. Z. (2019). Robot path planning and tracking based on improved artificial fishswarm algorithm. Mechanical Design and Manufacturing 4, 251-255.##
He, Z., X. H. Xiong, B. Yang and H. H. Li (2020). Aerodynamic optimisation of a high-speed train head shape using an advanced hybrid surrogate-based nonlinear model  representation method. Optimization and Engineering 1-26.##
Li, J. L. (2017). Development and Application of Extended Adaptive Hybrid Surrogate Model. Dalian University of Technology.##
Li, R., P. Xu, Y. Peng and P. Ji (2016). Multi-objective optimization of a high-speed train head based on the FFD method. Journal of Wind Engineering and Industrial Aerodynamics 152, 41-49.##
Li, X. B., G. Chen, Z. Wang, X. H. Xiong, X. F. Liang and J. Yin (2019). Dynamic analysis of the flow fields around single- and double-unit trains. Journal of Wind Engineering and Industrial Aerodynamics 188, 136-150.##
Liang, X. F., X. Zhang, G. Chen and X. B. Li (2020). Effect of the ballast height on the slipstream and wake flow of high-speed train. Journal of Wind Engineering and Industrial Aerodynamics 207, 104404.##
Liu, G. B. and H. J. Yuan (2020). Improved Artificial Fish Swarm Algorithm to Optimize SVR Prediction Model. Journal of Huaiyin Teachers College (Natural Science Edition) 19(3), 207-211.##
Luo, R. X., M. Chen and J. Lin (2020). Robot path planning based on improved artificial fish swarm algorithm. Science Technology and Engineering 20(23), 9445-9449.##
Muñoz-Paniagua, J. and J. García (2020). Aerodynamic drag optimization of a high-speed train. Journal of Wind Engineering and Industrial Aerodynamics 204, 104215.##
Ong, Y. S., P. B. Nair, A. J. Keane and K. W. Wong (2005). Surrogate-assisted evolutionary optimization frameworks for high-fidelity engineering design problems. In Knowledge Incorporation in Evolutionary Computation, Heidelberg, Berlin.##
Sederberg, T. W., and S. R. Parry (1986). Free-form deformation of solid geometric models. In Proceedings of the 13th annual conference on Computer graphics and interactive techniques 20(4), 151-160.##
Shen, Y., W. Huang, L. Yan and T. T. Zhang (2020). Constraint-based parameterization using FFD and multi-objective design optimization of a hypersonic vehicle. Aerospace Science and Technology 100, 105788.##
Sun, Z. X., Y. Zhang and G. W. Yang (2017). Surrogate based optimization of aerodynamic noise for streamlined shape of high speed trains. Applied Sciences 7(2), 196.##
Tian, H. Q. (2019). Review of research on high-speed railway aerodynamics in China. Transportation Safety and Environment 1(1), 1-21.##
Venkataraman, S. and R. T. Haftka (2004). Structural optimization complexity: what has Moore’s law done for us. Structural and Multidisciplinary Optimization 28(6), 375-387.##
Wang, Z. G., W. Huang and L. Yan (2014). Multidisciplinary design optimization approach and its application to aerospace engineering. Chinese Science Bulletin 59(36), 5338–5353.##
Xia, C., H. F. Wang, X. Z. Shan, Z. G. Yang and Q. L. Li (2017c). Effects of ground configurations on the slipstream and near wake of a high-speed train. Journal of Wind Engineering and Industrial Aerodynamics. 168, 177-189.##
Xu, G., X. F. Liang, S. B. Yao, D. W. Chen and Z. W. Li (2017). Multi-objective aerodynamic optimization of the streamlined shape of high-speed trains based on the Kriging model. Plos One 12(1), e0170803.##
Yang, J. Q., Z. F. Zhan, K. Zheng, J. Hu and L. Zheng (2016). Enhanced similarity-based metamodel updating strategy for reliability-based design optimization. Engineering Optimization 48(12), 2026-2045.##
Yao, S. B., D. L. Guo, Z. X. Sun, D. W. Chen and G. W. Yang (2016). Parametric design and optimization of high speed train nose. Optimization and Engineering 3(17), 605-630.##
Yao, S. B., D. L. Guo, Z. X. Sun, G. W. Yang and D. W. Chen (2014). Optimization design for aerodynamic elements of high speed trains. Computers & Fluids 95, 56-73.##
Yu, M. G., J. K. Pan, R. C. Jiang and J. Y. Zhang (2019). Multi-objective optimization design of the high-speed train head based on the approximate model. Journal of Mechanical Engineering 55(24), 178-186.##
Yu, Z. X. and Y. J. Jin (2018). Parameter estimation of regression model based on improved artificial fish swarm algorithm. Statistics and Decision 34(22), 75-77.##
Zhang, L., J. Y. Zhang, T. Li and Y. D. Zhang (2017a). Multi-objective optimization design of the streamlined head shape of super high-speed trains. Journal of Mechanical Engineering 53(2), 106–114.##
Zhang, L., J. Y. Zhang, T. Li and Y. D. Zhang (2017b). A multiobjective aerodynamic optimization design of a high-speed train head under crosswinds. Journal of Rail and Rapid Transit 232(3), 895–912.##
Zhang, M. X., P. Wang and Y. P. Bai and Y. C. Hou (2019). DOA estimation of array signal based on IAFSA-MUSIC algorithm. Mathematical Practice and Understanding 49(22), 163-170.##
Zhang, Y., G. W. Yang, D. L. Guo, Z. X. Sun and D. W. Chen (2019a). A novel CACOR-SVR multi-objective optimization approach and its application in aerodynamic shape optimization of high-speed train. Soft Computing 23(13), 5035-5051.##
Zhang, Y., G. W. Yang, Z. X. Sun and D. L. Guo (2016). A general shape optimization method based on FFD approach with application to a high-speed train. Journal of Multidisciplinary Engineering Science and Technology 3(12), 6181-6188.##
Zhu, W. Q., W. L. Yang, S. Ku and J. Wang (2019). Multi-objective Maneuvering Trajectory Planning Based on SPEA2 Algorithm for UCAV. Unmanned Systems Technology 2(6), 23-33.##
Zitzler, E. and L. Thiele (1999). Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach. IEEE transactions on Evolutionary Computation 3(4), 257-271.##
Zitzler, E., M. Laumanns and L. Thiele (2002). Improving the Strength Pareto Evolutionary Algorithm. TIK-report 103.##