IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v330y2023ipbs0306261922016142.html
   My bibliography  Save this article

Surrogate modeling method for multi-objective optimization of the inlet channel and the basin of a gravitational water vortex hydraulic turbine

Author

Listed:
  • Velásquez, Laura
  • Posada, Alejandro
  • Chica, Edwin

Abstract

This work presents a high-fidelity surrogate model for generating a multi-objective genetic algorithm to allow the search for the optimal geometry of the inlet channel and the basin of a gravitational water vortex hydraulic turbine. Six parameters were considered for the optimization: the relations between the basin diameter (D) and the basin height (H), H/D; the wrap-around angle (γ), the outlet diameter (d) and D, d/D; the inlet channel width (w) and D, w/D; the inlet channel height (h) and D, h/D; and the inlet channel length (L) and D, L/D. Two conflicting objectives were studied: maximizing the vortex strength (Γ) and minimizing the volume flow rate (Q). The multi-objective optimization problem was resolved by applying the gamultiobj function in Matlab R2018b software. The optimization combines the genetic algorithm with Kriging interpolation to obtain the Pareto front. To train the gamultiobj function, an initial population of 40 individuals was used. As a stopping criterion, the maximum generation of 500 individuals was established. To improve the Pareto front, 20 optimization cycles (60 new samples) were required, reaching a final population of 100 individuals. It was found from the Pareto front that the values of the six variables providing the compromise solution, between Γ and Q, were H/D=1.572, L/D=1.518, h/D=0.565, w/D=0.361, d/D=0.108, and γ=92.141°. This solution reaches a Q of 0.00305 m3/s and a Γ of 1.699 m2/s. The results of this study were compared with the results reported by other authors, who optimized this type of turbine by applying the response surface methodology. The difference between these results was less than 9.61%.

Suggested Citation

  • Velásquez, Laura & Posada, Alejandro & Chica, Edwin, 2023. "Surrogate modeling method for multi-objective optimization of the inlet channel and the basin of a gravitational water vortex hydraulic turbine," Applied Energy, Elsevier, vol. 330(PB).
    • Handle: RePEc:eee:appene:v:330:y:2023:i:pb:s0306261922016142
    DOI: 10.1016/j.apenergy.2022.120357
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261922016142
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.apenergy.2022.120357?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ganjehkaviri, A. & Mohd Jaafar, M.N. & Hosseini, S.E. & Barzegaravval, H., 2017. "Genetic algorithm for optimization of energy systems: Solution uniqueness, accuracy, Pareto convergence and dimension reduction," Energy, Elsevier, vol. 119(C), pages 167-177.
    2. Tadeusz Dziubak & Leszek Bąkała, 2021. "Computational and Experimental Analysis of Axial Flow Cyclone Used for Intake Air Filtration in Internal Combustion Engines," Energies, MDPI, vol. 14(8), pages 1-28, April.
    3. Chitrakar, Sailesh & Solemslie, Bjørn Winther & Neopane, Hari Prasad & Dahlhaug, Ole Gunnar, 2020. "Review on numerical techniques applied in impulse hydro turbines," Renewable Energy, Elsevier, vol. 159(C), pages 843-859.
    4. Gang Xu & Xifeng Liang & Shuanbao Yao & Dawei Chen & Zhiwei Li, 2017. "Multi-Objective Aerodynamic Optimization of the Streamlined Shape of High-Speed Trains Based on the Kriging Model," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-14, January.
    5. Kumar, Pardeep & Saini, R.P., 2010. "Study of cavitation in hydro turbines--A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(1), pages 374-383, January.
    6. Velásquez, Laura & Posada, Alejandro & Chica, Edwin, 2022. "Optimization of the basin and inlet channel of a gravitational water vortex hydraulic turbine using the response surface methodology," Renewable Energy, Elsevier, vol. 187(C), pages 508-521.
    7. Jonathan Aguilar & Ainhoa Rubio-Clemente & Laura Velasquez & Edwin Chica, 2019. "Design and Optimization of a Multi-Element Hydrofoil for a Horizontal-Axis Hydrokinetic Turbine," Energies, MDPI, vol. 12(24), pages 1-18, December.
    8. Dhakal, Sagar & Timilsina, Ashesh B. & Dhakal, Rabin & Fuyal, Dinesh & Bajracharya, Tri R. & Pandit, Hari P. & Amatya, Nagendra & Nakarmi, Amrit M., 2015. "Comparison of cylindrical and conical basins with optimum position of runner: Gravitational water vortex power plant," Renewable and Sustainable Energy Reviews, Elsevier, vol. 48(C), pages 662-669.
    9. Okot, David Kilama, 2013. "Review of small hydropower technology," Renewable and Sustainable Energy Reviews, Elsevier, vol. 26(C), pages 515-520.
    10. Cobb, Bryan R. & Sharp, Kendra V., 2013. "Impulse (Turgo and Pelton) turbine performance characteristics and their impact on pico-hydro installations," Renewable Energy, Elsevier, vol. 50(C), pages 959-964.
    11. Židonis, Audrius & Benzon, David S. & Aggidis, George A., 2015. "Development of hydro impulse turbines and new opportunities," Renewable and Sustainable Energy Reviews, Elsevier, vol. 51(C), pages 1624-1635.
    12. Kalyanmoy Deb & Kalyanmoy Deb, 2014. "Multi-objective Optimization," Springer Books, in: Edmund K. Burke & Graham Kendall (ed.), Search Methodologies, edition 2, chapter 0, pages 403-449, Springer.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Daniel Sanin-Villa & Oscar Danilo Montoya & Luis Fernando Grisales-Noreña, 2023. "Material Property Characterization and Parameter Estimation of Thermoelectric Generator by Using a Master–Slave Strategy Based on Metaheuristics Techniques," Mathematics, MDPI, vol. 11(6), pages 1-19, March.
    2. Nosare Maika & Wenxian Lin & Mehdi Khatamifar, 2023. "A Review of Gravitational Water Vortex Hydro Turbine Systems for Hydropower Generation," Energies, MDPI, vol. 16(14), pages 1-39, July.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Joe Butchers & Shaun Benzon & Sam Williamson & Julian Booker & George Aggidis, 2021. "A Rationalised CFD Design Methodology for Turgo Turbines to Enable Local Manufacture in the Global South," Energies, MDPI, vol. 14(19), pages 1-23, October.
    2. Dallison, Richard J.H. & Patil, Sopan D., 2023. "Impact of climate change on hydropower potential in the UK and Ireland," Renewable Energy, Elsevier, vol. 207(C), pages 611-628.
    3. Zaher Mundher Yaseen & Ameen Mohammed Salih Ameen & Mohammed Suleman Aldlemy & Mumtaz Ali & Haitham Abdulmohsin Afan & Senlin Zhu & Ahmed Mohammed Sami Al-Janabi & Nadhir Al-Ansari & Tiyasha Tiyasha &, 2020. "State-of-the Art-Powerhouse, Dam Structure, and Turbine Operation and Vibrations," Sustainability, MDPI, vol. 12(4), pages 1-40, February.
    4. Elgammi, Moutaz & Hamad, Abduljawad Ashour, 2022. "A feasibility study of operating a low static pressure head micro pelton turbine based on water hammer phenomenon," Renewable Energy, Elsevier, vol. 195(C), pages 1-16.
    5. Jawahar, C.P. & Michael, Prawin Angel, 2017. "A review on turbines for micro hydro power plant," Renewable and Sustainable Energy Reviews, Elsevier, vol. 72(C), pages 882-887.
    6. Yah, Nor F. & Oumer, Ahmed N. & Idris, Mat S., 2017. "Small scale hydro-power as a source of renewable energy in Malaysia: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 72(C), pages 228-239.
    7. Kan, Kan & Binama, Maxime & Chen, Huixiang & Zheng, Yuan & Zhou, Daqing & Su, Wentao & Muhirwa, Alexis, 2022. "Pump as turbine cavitation performance for both conventional and reverse operating modes: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 168(C).
    8. Benzon, D.S. & Aggidis, G.A. & Anagnostopoulos, J.S., 2016. "Development of the Turgo Impulse turbine: Past and present," Applied Energy, Elsevier, vol. 166(C), pages 1-18.
    9. Elbatran, A.H. & Yaakob, O.B. & Ahmed, Yasser M. & Shabara, H.M., 2015. "Operation, performance and economic analysis of low head micro-hydropower turbines for rural and remote areas: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 43(C), pages 40-50.
    10. Suyesh, Bhattarai & Parag, Vichare & Keshav, Dahal & Ahmed, Al Makky & Abdul-Ghani, Olabi, 2019. "Novel trends in modelling techniques of Pelton Turbine bucket for increased renewable energy production," Renewable and Sustainable Energy Reviews, Elsevier, vol. 112(C), pages 87-101.
    11. Nosare Maika & Wenxian Lin & Mehdi Khatamifar, 2023. "A Review of Gravitational Water Vortex Hydro Turbine Systems for Hydropower Generation," Energies, MDPI, vol. 16(14), pages 1-39, July.
    12. Lin, Tzu-Yuan & Ko, Chia-Yu & Chen, Shih-Jhe & Tsai, Guo Chung & Tsai, Hsieh-Chen, 2022. "A novel total-flow geothermal power generator using Turgo turbine: Design and field tests," Renewable Energy, Elsevier, vol. 186(C), pages 562-572.
    13. Hoffstaedt, J.P. & Truijen, D.P.K. & Fahlbeck, J. & Gans, L.H.A. & Qudaih, M. & Laguna, A.J. & De Kooning, J.D.M. & Stockman, K. & Nilsson, H. & Storli, P.-T. & Engel, B. & Marence, M. & Bricker, J.D., 2022. "Low-head pumped hydro storage: A review of applicable technologies for design, grid integration, control and modelling," Renewable and Sustainable Energy Reviews, Elsevier, vol. 158(C).
    14. Zhang, Yao & Najafi, Mohammad Javid & Beni, Mohsen Heydari & Davar, Ali & Toghraie, Davood & Shafiee, Behzad Mojarad & Jam, Jafar Eskandari & Hekmatifar, Maboud, 2022. "The effects of geometric shapes at different assembly gaps to achieve the optimal hydrodynamic conditions," Renewable Energy, Elsevier, vol. 184(C), pages 452-459.
    15. Ardizzon, G. & Cavazzini, G. & Pavesi, G., 2014. "A new generation of small hydro and pumped-hydro power plants: Advances and future challenges," Renewable and Sustainable Energy Reviews, Elsevier, vol. 31(C), pages 746-761.
    16. Jiaxin Yu & Jun Wang, 2020. "Optimization Design of a Rain-Power Utilization System Based on a Siphon and Its Application in a High-Rise Building," Energies, MDPI, vol. 13(18), pages 1-18, September.
    17. Michels-Brito, Adriane & Rodriguez, Daniel Andrés & Cruz Junior, Wellington Luís & Nildo de Souza Vianna, João, 2021. "The climate change potential effects on the run-of-river plant and the environmental and economic dimensions of sustainability," Renewable and Sustainable Energy Reviews, Elsevier, vol. 147(C).
    18. Yao, Yao & Shen, Zhicheng & Wang, Qiliang & Du, Jiyun & Lu, Lin & Yang, Hongxing, 2023. "Development of an inline bidirectional micro crossflow turbine for hydropower harvesting from water supply pipelines," Applied Energy, Elsevier, vol. 329(C).
    19. Laghari, J.A. & Mokhlis, H. & Bakar, A.H.A. & Mohammad, Hasmaini, 2013. "A comprehensive overview of new designs in the hydraulic, electrical equipments and controllers of mini hydro power plants making it cost effective technology," Renewable and Sustainable Energy Reviews, Elsevier, vol. 20(C), pages 279-293.
    20. Leite Neto, Pedro B. & Saavedra, Osvaldo R. & Souza Ribeiro, Luiz A., 2015. "Optimization of electricity generation of a tidal power plant with reservoir constraints," Renewable Energy, Elsevier, vol. 81(C), pages 11-20.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:appene:v:330:y:2023:i:pb:s0306261922016142. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.