# American Institute of Mathematical Sciences

December  2015, 8(6): 1373-1384. doi: 10.3934/dcdss.2015.8.1373

## A geometric inversion algorithm for parameters calculation in Francis turbine

 1 School of Water Conservancy and Electric Power, Hebei University of Engineering, Handan 056021, China, China, China 2 College of Mechanical Engineering, DongHua University, Shanghai 200051, China

Received  May 2015 Revised  September 2015 Published  December 2015

In terms of the structure and working~principle~of Francis turbine, a geometric inversion algorithm for parameters calculation in Francis turbine is proposed in this paper. Firstly through defining unit parameters the linear characteristics of turbine are derived in a certain opening, then the geometric parameters can be reversely calculated. The HL160-LJ--25 model turbine is used to verify the linear relation between the characteristic flow and the characteristic efficiency and reversely perform parameters calculation, and then the relation curves are established between the geometric parameters of turbine and the opening of guide blade, which can make us accurately acquire the energy characteristics of the prototype turbine. It is useful for us to acquire the proper parameters of turbine for purposes of reducing pressure fluctuation of turbine and improving its operating efficiency.
Citation: Liying Wang, Weiguo Zhao, Dan Zhang, Linming Zhao. A geometric inversion algorithm for parameters calculation in Francis turbine. Discrete & Continuous Dynamical Systems - S, 2015, 8 (6) : 1373-1384. doi: 10.3934/dcdss.2015.8.1373
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