TY - JOUR

T1 - Multi-objective shape optimization of a hydraulic turbine runner using efficiency, strength and weight criteria

AU - Chirkov, Denis V.

AU - Ankudinova, Anna S.

AU - Kryukov, Artem E.

AU - Cherny, Sergey G.

AU - Skorospelov, Vladimir A.

N1 - Funding Information: The work was done in the framework of state assignment for the Institute of Computational Technologies of Siberian Branch of Russian Academy of Sciences (topic No. 0316-2015-0001). Publisher Copyright: © 2018, Springer-Verlag GmbH Germany, part of Springer Nature. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.

PY - 2018/8

Y1 - 2018/8

N2 - An approach for multi-discipline automatic optimization of the hydraulic turbine runner shape is presented. The approach accounts hydraulic efficiency, mechanical strength and the weight of the runner. In order to effectively control the strength and weight of the runner, a new parameterization of the blade thickness function is suggested. Turbine efficiency is evaluated through numerical solution of Reynolds-averaged Navier-Stokes equations, while the finite element method is used to evaluate the von Mises stress in the runner. An objective function, being the weighted sum of maximal stress and the blade volume, is suggested to account for both the strength and weight of the runner. Multi-objective genetic algorithm is used to solve the optimization problem. The suggested approach has been applied to automatic design of a Francis turbine runner. Series of three-objective optimization runs have been carried out. The obtained results clearly indicate that simultaneous account of stress and weight objectives accompanied by thickness variation allows obtaining high efficiency, light and durable turbine runners.

AB - An approach for multi-discipline automatic optimization of the hydraulic turbine runner shape is presented. The approach accounts hydraulic efficiency, mechanical strength and the weight of the runner. In order to effectively control the strength and weight of the runner, a new parameterization of the blade thickness function is suggested. Turbine efficiency is evaluated through numerical solution of Reynolds-averaged Navier-Stokes equations, while the finite element method is used to evaluate the von Mises stress in the runner. An objective function, being the weighted sum of maximal stress and the blade volume, is suggested to account for both the strength and weight of the runner. Multi-objective genetic algorithm is used to solve the optimization problem. The suggested approach has been applied to automatic design of a Francis turbine runner. Series of three-objective optimization runs have been carried out. The obtained results clearly indicate that simultaneous account of stress and weight objectives accompanied by thickness variation allows obtaining high efficiency, light and durable turbine runners.

KW - Finite element analysis

KW - Genetic algorithm

KW - Hydraulic turbine runner

KW - Thickness function

KW - Three-dimensional flow simulation

KW - STEADY

KW - MULTIDISCIPLINARY

KW - DESIGN

KW - FLUID

KW - Three-dimensional flowsimulation

KW - NUMERICAL-SIMULATION

KW - FLOW

UR - http://www.scopus.com/inward/record.url?scp=85044959247&partnerID=8YFLogxK

U2 - 10.1007/s00158-018-1914-6

DO - 10.1007/s00158-018-1914-6

M3 - Article

AN - SCOPUS:85044959247

VL - 58

SP - 627

EP - 640

JO - Structural and Multidisciplinary Optimization

JF - Structural and Multidisciplinary Optimization

SN - 1615-147X

IS - 2

ER -