WEN Zhe-nan， ZHANG Ying-li， BA De-chun， YUE Xiang-ji. Optimization Method for the Runner Crown Shape of a Low Specific Speed Francis Turbine[J]. Journal of Northeastern University Natural Science, 2018, 39(6): 839-843.
[1]郑源，陈德新.水轮机［M］.北京:中国水利水电出版社，2011.(Zheng Yuan，Chen De-xin.Hydroturbine［M］.Beijing:China Water & Power Press，2011.) [2]郑源，杨春霞，周大庆，等.卧轴双转轮混流式水轮机的优化设计［J］.排灌机械工程学报，2012，30(3):341-345.(Zheng Yuan，Yang Chun-xia，Zhou Da-qing，et al.Optimization design of horizontal Francis turbine with two runners［J］.Journal of Drainage and Irrigation Machinery Engineering，2012，30(3):341-345.) [3]Wu J C，Shimmei K，Tani K，et al.CFD-based design optimization for hydro turbines［J］. Journal of Fluids Engineering，2007，129(2):159-168. [4]Zhu B，Wang X，Tan L，et al.Optimization design of a reversible pump-turbine runner with high efficiency and stability［J］.Renewable Energy，2015，81:366-376. [5]Wang J，Wang D，Cai W X，et al.Study on the influence of meridional channel to centrifugal compressor performance［J］.Applied Mechanics and Materials，2012，220:592-596. [6]王凯，刘厚林，袁寿其，等.离心泵叶轮轴面图的全自动CFD优化［J］.农业工程学报，2011，27(10):39-43.(Wang Kai，Liu Hou-lin，Yuan Shou-qi，et al.Automatic optimization of impeller meridional shape for centrifugal pumps based on CFD［J］.Transactions of the CSAE，2011，27(10):39-43.) [7]Yang C X，Zheng Y，Li L Y.Optimization design and performance analysis of a pit turbine with ultralow head［J］.Advances in Mechanical Engineering，2014，6(4):226-232. [8]Ruprecht A.Unsteady flow simulation in hydraulic machinery ［J］.Task Quarterly，2002，6(1):187-208. [9]Choi H J，Zullah M A，Roh H W，et al.CFD validation of performance improvement of a 500kW Francis turbine［J］. Renewable Energy，2013，54(6):111-123. [10]Menter F R.Two-equation eddy-viscosity turbulence models for engineering applications［J］.AIAA Journal，2012，32(8):1598-1605. [11]Kennedy J，Eberhart R.Particle swarm optimization［C］//Proceedings of IEEE International Conference on Neural Networks.Perth，1995:1942-1948.
