Objective functionals for optimization  of Kaplan runner blade shape

Recent developments in computational fluid dynamics, methods of solving optimization problems, and more powerful and effective computers ensure automation of desiging the hydraulic turbine runner. Nowadays optimization methods of shaping turbine water passages, based on the Genetic Algorithm (GA), are being widely developed in the world. This paper presents the multi-objective multi-point optimization method of the Kaplan runner blade shape. The authors considered the problems of selecting objective functionals depending on the applied CFD optimization method. The paper provides modified objective functionals used for solving optimization problems of the Kaplan runner blade shape in full load operation point.