To improve the design speed and reduce the design cost for the previous blade design method, a modified inverse design method is presented. In the new method, after a series of physical and mathematical simplifications, a sail-like constrained area is proposed, which can be used to configure different runner blade shapes. Then, the new method is applied to redesign and optimize the runner blade of the scale core component of the 1400-MW canned nuclear coolant pump in an established multi-optimization system compromising the Computational Fluid Dynamics (CFD) analysis, the Response Surface Methodology (RSM) and the Non-dominated Sorting Genetic Algorithm-Ⅱ (NSGA-Ⅱ). After the execution of the optimization procedure, three optimal samples were ultimately obtained. Then, through comparative analysis using the target runner blade, it was found that the maximum efficiency improvement reached 1.6%, while the head improvement was about 10%. Overall, a promising runner blade inverse design method which will benefit the hydraulic design of the mixed-flow pump has been proposed.
Ye-Ming Lu
,
Xiao-Fang Wang
,
Wei Wang
,
Fang-Ming Zhou
. Application of the Modifed Inverse Design Method in the Optimization of the Runner Blade of a Mixed-Flow Pump[J]. Chinese Journal of Mechanical Engineering, 2018
, 31(6)
: 105
-105
.
DOI: 10.1186/s10033-018-0302-x
To improve the design speed and reduce the design cost for the previous blade design method, a modified inverse design method is presented. In the new method, after a series of physical and mathematical simplifications, a sail-like constrained area is proposed, which can be used to configure different runner blade shapes. Then, the new method is applied to redesign and optimize the runner blade of the scale core component of the 1400-MW canned nuclear coolant pump in an established multi-optimization system compromising the Computational Fluid Dynamics (CFD) analysis, the Response Surface Methodology (RSM) and the Non-dominated Sorting Genetic Algorithm-Ⅱ (NSGA-Ⅱ). After the execution of the optimization procedure, three optimal samples were ultimately obtained. Then, through comparative analysis using the target runner blade, it was found that the maximum efficiency improvement reached 1.6%, while the head improvement was about 10%. Overall, a promising runner blade inverse design method which will benefit the hydraulic design of the mixed-flow pump has been proposed.
[1] J H Kim, B M Cho, S Kim, et al. Design technique to improve the energy efficiency of a counter-rotating type pump-turbine. Renewable Energy, 2017, 101:647-659.
[2] S Kim, K Y Lee, J H Kim, et al. High performance hydraulic design techniques of mixed-flow pump impeller and diffuser. Journal of Mechanical Science & Technology, 2015, 29(1):227-240.
[3] L H Liu, B S Zhu, L Bai, et al. Parametric design of an ultrahigh-head pump-turbine runner based on multiobjective optimization. Energies, 2017, 10(8):1169.
[4] J S Anagnostopoulos. A fast numerical method for flow analysis and blade design in centrifugal pump impellers. Computers & Fluids, 2009, 38(2):284-289.
[5] J E Borges. A three dimensional inverse method in turbomachinery:Part Ⅰ-theory. ASME 1989 International Gas Turbine and Aeroengine Congress and Exposition, Toronto, Canada, June 4-8, 1989:V001T01A055-V001T01A055.
[6] M Zangeneh. A compressible three-dimensional design method for radial and mixed flow turbomachinery blades. International Journal for Numerical Methods in Fluids, 2010, 13(5):599-624.
[7] P Wang, M Zangeneh, B Richards, et al. Redesign of a compressor stage for a high-performance electric supercharger in a heavily downsized engine. ASME Turbo Expo 2017:Turbomachinery Technical Conference and Exposition, Charlotte, USA, June 26-30, 2017:V008T26A027.
[8] B S Zhu, X Wang, L Tan, et al. Optimization design of a reversible pump-turbine runner with high efficiency and stability. Renewable Energy, 2015, 81:366-376.
[9] R F Huang, X W Luo, J Bin, et al. Multi-objective optimization of a mixed-flow pump impeller using modified NSGA-Ⅱ algorithm. Science China Technological Sciences, 2015, 58(12):2122-2130.
[10] X J Li, Z Y Pan, D Q Zhang, et al. Centrifugal pump performance drop due to leading edge cavitation. IOP Conference Series:Earth and Environmental Science, London, UK, June 7-13, 2012:032058.
[11] T Tuzson. Centrifugal pump design. 1st ed. New York:John Wiley & Sons, Inc., 1986.
[12] G Y Peng, S L Cao, M Ishizuka, et al. Design optimization of axial flow hydraulic turbine runner:Part Ⅰ-an improved Q3D inverse method. International Journal for Numerical Methods in Fluids, 2002, 39(6):517-531.
[13] G Y Peng, S L Cao, M Ishizuka, et al. Design optimization of axial flow hydraulic turbine runner:Part Ⅱ-multi-objective constrained optimization method. International Journal for Numerical Methods in Fluids, 2002, 39(6):533-548.
[14] H Bing, S L Cao, L Tan, et al. Parameterization of velocity moment distribution and its effects on performance of mixed-flow pump. Transactions of the Chinese Society of Agricultural Engineering, 2012, 28(13):100-105. (in Chinese)
[15] V Pachidis, I Templalexis, P Pilidis. A dynamic convergence control algorithm for the solution of two-dimensional streamline curvature methods. ASME Turbo Expo 2009:Power for Land, Sea, and Air, Florida, USA, June 8-12, 2009:287-296.
[16] M Casey, C Robinson. A new streamline curvature throughflow method for radial turbomachinery. Journal of Turbomachinery, 2010, 132(3):031021.
[17] S L Cao, G Y Peng, Z Y Yu. Hydrodynamic design of rotodynamic pump impeller for multiphase pumping by combined approach of inverse design and CFD analysis. Journal of Fluids Engineering, 2005, 127(2):330-338.
[18] N X Chen, Y L Wu. Centrifugal pumps. Beijing:China Machine Press, 2002. (in Chinese)
[19] Y M Lu, X F Wang, R Xie. Derivation of the mathematical approach to the radial pump's meridional channel design based on the controlment of the medial axis. Mathematical Problems in Engineering. 2017, 2017(2):1-16.
[20] J Pei, W J Wang, S Q Yuan. Multi-point optimization on meridional shape of a centrifugal pump impeller for performance improvement. Journal of Mechanical Science and Technology, 2016, 30(11):4949-4960.
[21] Y M Lu, Z X Liu. Quantitative analysis of influence factors on leakage flow of tip clearance in centrifugal impellers. Journal of Propulsion Technology, 2017, 38(1):76-84. (in Chinese)
[22] G W Imbens, T Lancaster. Efficient estimation and stratified sampling. Journal of Econometrics, 1996, 74(2):289-318.
[23] F M Zhou, X F Wang. Effects of staggered blades on the hydraulic characteristics of a 1400-MW canned nuclear coolant pump. Advances in Mechanical Engineering, 2016, 8(8):1687814016657944.
[24] H Gao, F Gao, X C Zhao, et al. Analysis of reactor coolant pump transient performance in primary coolant system during start-up period. Annals of Nuclear Energy, 2013, 54(54):202-208.
[25] S Kang. Numerical investigation of a high speed centrifugal compressor impeller. ASME Turbo Expo 2005:Power for Land, Sea, and Air, Nevada, USA, June 6-9, 2005:813-821.
[26] D R Giosio, A D Henderson, J M Walker, et al. Design and performance evaluation of a pump-as-turbine micro-hydro test facility with incorporated inlet flow control. Renewable Energy, 2015, 78:1-6.
