Abstract
To achieve full-operation-range performance optimization of a compressor and better matching performance with an engine in an accurate and efficient way, a novel pseudo-MAP optimization method is proposed. The pseudo-MAP is a contour-map (MAP) with the performance of only nine compressor characteristic operating points. As these nine points all represent the extreme and intermediate operation conditions in a compressor MAP, there are strong similarities between the compressor MAP and its pseudo-MAP. To verify that the compressor full-operation-range optimization can be replaced by the optimization of the pseudo-MAP, the performance of all the nine points are set as the optimization objectives. The approximation relation between the optimization objectives and the factorial analysis-screened compressor parameters is constructed via experimental design (DoE) and the radial basis function (RBF), and then, a multi-objective optimization for 18 optimization objectives is conducted by using a genetic algorithm (NSGA-II). After optimization, the choke flow of one compressor increases by 20%, and its maximum efficiency increases to 80%. Moreover, the pressure ratio significantly increases at medium or high flow, and the variation within the entire flow range is suppressed. As a result, the engine matched with the optimized compressor provides more power with higher efficiency and stability, which verifies the feasibility of the pseudo-MAP optimization method.
Similar content being viewed by others
References
ANSYS Inc. (2012a) ANSYS ICEM CFD 14.5 user manual. Canonsburg, PA
ANSYS Inc. (2012b) ANSYS CFX-Solver CFD 14.5 theory guide. PA, Canonsburg
Baodong L (2015) Basic course in mathematical modeling. Higher Education Press, Beijing
Benini E (2004) Three-dimensional multi-objective design optimization of a transonic compressor rotor. J Propulsion Power 20(3):559–565
Bo L, Xiqiong Y, Zhiyaun C et al (2014) Optimization design of a centrifugal compressor with splitters. J Propulsion Technol 35(11):1461–1468
Ce Y, Chaochen Ma, Dazhong L (2002) Centrifugal compressor performance investigation with changing some geometry parameters using simulating method, 4:1897–1901
CFturbo Software & Engineering GmbH (2011) User manual for CFturbo 9 software. Dresden
Chaolei Z, Qinhua D, Zhenping F (2009) Aerodynamic optimization design of vaned diffuser for centrifugal compressor under stage environment. J Xian Jiao Tong Univ 43(11):32–36
Chunfeng L (2013) Scientific computing and its application. Science Press, Beijing
Daxin Z (1997) Turbocharging and turbocharger. The 70th Institute of Weapon Industry, Datong
Gamma Technologies, Inc. (2014) Software GT-Power users manual. Westmont, IL
Hehn A, Mosdzien M, Grates D et al (2017) Aerodynamic optimization of a transonic centrifugal compressor by using arbitrary blade surfaces. ASME Turbo Expo 2017: turbomachinery technical conference and exposition
Hong Z, Chaochen M (2005) Geometric parameters optimization design and performance analysis in a vehicle turbocharger centrifugal compressor. J Beijing Instit Technol 1:22–26
Huijin Z, Guang X, Zhiheng W et al (2015) Effect of blade trailing edge filing on aerodynamic performance of centrifugal compressors. J Eng Thermophys 36(06):1228–1232
IBM Corporation (2011) IBM SPSS advanced statistics 20. New York, NY
Jin L (2011) Optimization and CFD analysis of long and short blade centrifugal compressors. Dissertation, Huazhong University of Science and Technology
Jinling L, Guang X, Datong Q (2005) Optimization method of meridional channel and blade in 3-D impeller, 9:1021–1025
Jinshan J (2007) Optimization calculation method, South China University of Technology Press, Guangzhou
Kui S (2017) Study on structure and performance optimization of split blade of centrifugal compressor. Dissertation, Dalian Maritime University
Kun H, Zhipeng C, Xin Y (2009) Three dimensional aerodynamic optimization design of centrifugal compressor blades. J Eng Thermophys 30(03):393–396
Li Y, Junjie M, Han Y et al (2018) Numerical analysis of the impact of impeller structure parameters on the compressor performance. Energy Eng 1:62–68
Luo J, Zhou C, Liu F (2013) Multipoint design optimization of a transonic compressor blade by using an adjonit method. J Turbomach 136(5):051005
Luquan R (2009) Experimental design and optimization. Science Press, Beijing
Mengistu T, Ghaly W (2004) Single and multipoint shape optimization of gas turbine blade cascades. In: AIAA/ISSMO multidisciplinary analysis and optimization conference
Noesis Solutions (2014) Optimus Rev 10.15 manual. Leuven
NUMECA International (2010) User manual for autogrid5 V8. Brussels
Oyama A, Mengsing L, Obayashi S (2004) Transonic axial-flow blade shape optimization using evolutionary algorithm and three-dimensional Navier-Stokes solver. J Propulsion Power 20(4):612–619
Peng C (2017) Aerodynamic analysis and design optimization of centrifugal compressor impeller. Dissertation, Xiangtan University
Pierret S, Coelho RF, Kato H (2007) Multidisciplinary and multiple operating points shape optimization of three-dimensional compressor blades. Struc Multidiscip Optim 33(1):61–70
Qiang Z (2006) Elitist nondominated sorting genetic algorithm and its application. Dissertation, Zhejiang University
Shaomei F (2014) Theory, method and application of mathematical modeling. Science Press, Beijing
Shenxu L (2016) Internal flow analysis and structural optimization design of a single stage centrifugal compressor. Dissertation, Harbin Engineering University
Tao C (2010) Research on flow path design of internal combustion engine pressurized centrifugal compressor under multiple conditions. Dissertation, Tsinghua University
Tao T, Fei C (2017) Aerodynamic optimization design of turbocharger compressor impeller. Fluid Mach 45(8):24–28 + 58
Wanzhong W (2004) Design and analysis of experiments. Higher education press, Beijing
Wen C (2014) Radial basis function method in scientific and engineering computation. Science Press, Beijing
Wenqin L (2005) Design of experiments, Qinhua University Press, Beijing
Xinwei S (2009) CFD-based multi-point and multi-constraint blade optimization approach and experimental investigation. Dissertation, Shanghai Jiao Tong University
Xunan G (2015) Optimization design of turbine blade based on parameterized method. Dissertation, Tongji University
Yansheng W, Yousheng W (1984) Exhaust gas turbocharger for vehicle engine. National Defense Industry Press, Beijing
Yibing Q (2008) Experimental design and data processing. China Science and Technology University Press, Hefei
Yizhao G (2013) Simulation analysis of internal flow field of centrifugal compressor and optimization of impeller structural parameters. Dissertation, Dalian Jiaotong University
Yu W (2017) Design strategy and method of the centrifugal compressor for fuel cell vehicle application. Dissertation, Tongji university
Zhibin L (2013) Optimization method and application case. Petroleum Industry Press, Beijing
Acknowledgements
The author is very grateful to Prof. Jimin Ni, Qiwei Wang, Xiuyong Shi, and the Institute of Energy Conservation and Emission Control of Automotive College of Tongji University for conducting research and providing support.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflicts of interest.
Replication of results
In the pseudo-MAP optimization method, the vital task is to set nine characteristic operating points for optimization. These points distribute in near-surge, medium, and near-choke conditions respectively at each low, medium, and high characteristic rotating speeds in the compressor MAP. Their performances (efficiency and flow at the medium and near-choke points, efficiency, and pressure ratio at the near-surge points) are set as optimization objectives, while the compressor parameters are screened by 2k factorial analysis. Then, the appropriate model is constructed via DoE and RBF. The optimal compressor structure is obtained by conducting a multi-objective optimization with 18 optimization objectives. All the involved test plans and data processing methods are provided in the paper and the supplementary Tables 1–8.
Additional information
Responsible Editor: Hai Huang
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Chen, Q., Ni, J., Wang, Q. et al. Match-based pseudo-MAP full-operation-range optimization method for a turbocharger compressor. Struct Multidisc Optim 60, 1139–1153 (2019). https://doi.org/10.1007/s00158-019-02262-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00158-019-02262-2