Investigation of Efficient Optimization Approach to the Modernization of Francis Turbine Draft Tube Geometry

The installation of new and revitalization existing hydropower requires the optimal design hydraulic turbine parts, which were previously mostly based on simplified analytical methods engineering practices. With increase in computational power, optimization now present an effective approach to improvement geometry thus enabling fine geometry-tuning adjustments site specifics. However, despite continually increasing such numerical optimizations still require substantial resources time. Therefore, proposed paper, extensive analysis different simplifications was conducted determine best trade-off between accuracy required for draft tube optimization. Additionally, influence parametrization terms greater flexibility, goal functions, parameters investigated. Within considered constraints, a novel obtained, with elbow displacements toward exit, shape that could not be obtained usual parametrization. It also observed improvements single operating point did provide other points. findings regarding setup can used as guidelines future research, where multiobjective multiple points should further