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

Author

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  • Ivana Lučin

    (Faculty of Engineering, University of Rijeka, Vukovarska 58, 51000 Rijeka, Croatia
    These authors contributed equally to this work.)

  • Ante Sikirica

    (Faculty of Engineering, University of Rijeka, Vukovarska 58, 51000 Rijeka, Croatia
    Center for Advanced Computing and Modelling, University of Rijeka, Radmile Matejčić 2, 51000 Rijeka, Croatia
    These authors contributed equally to this work.)

  • Marija Šiško Kuliš

    (HEP Proizvodnja d.o.o., Gundulićeva 42, 21000 Split, Croatia
    Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, Ruđera Boškovića 32, 21000 Split, Croatia)

  • Zoran Čarija

    (Faculty of Engineering, University of Rijeka, Vukovarska 58, 51000 Rijeka, Croatia
    Center for Advanced Computing and Modelling, University of Rijeka, Radmile Matejčić 2, 51000 Rijeka, Croatia)

Abstract

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

Suggested Citation

  • Ivana Lučin & Ante Sikirica & Marija Šiško Kuliš & Zoran Čarija, 2022. "Investigation of Efficient Optimization Approach to the Modernization of Francis Turbine Draft Tube Geometry," Mathematics, MDPI, vol. 10(21), pages 1-22, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:4050-:d:959585
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    References listed on IDEAS

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    1. Hunt, Julian David & Zakeri, Behnam & Lopes, Rafael & Barbosa, Paulo Sérgio Franco & Nascimento, Andreas & Castro, Nivalde José de & Brandão, Roberto & Schneider, Paulo Smith & Wada, Yoshihide, 2020. "Existing and new arrangements of pumped-hydro storage plants," Renewable and Sustainable Energy Reviews, Elsevier, vol. 129(C).
    2. Arispe, Tania M. & de Oliveira, Waldir & Ramirez, Ramiro G., 2018. "Francis turbine draft tube parameterization and analysis of performance characteristics using CFD techniques," Renewable Energy, Elsevier, vol. 127(C), pages 114-124.
    3. Arthur Favrel & Nak-joong Lee & Tatsuya Irie & Kazuyoshi Miyagawa, 2021. "Design of Experiments Applied to Francis Turbine Draft Tube to Minimize Pressure Pulsations and Energy Losses in Off-Design Conditions," Energies, MDPI, vol. 14(13), pages 1-25, June.
    4. Riccardo Orso & Ernesto Benini & Moreno Minozzo & Riccardo Bergamin & Andrea Magrini, 2020. "Two-Objective Optimization of a Kaplan Turbine Draft Tube Using a Response Surface Methodology," Energies, MDPI, vol. 13(18), pages 1-13, September.
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