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Optimization of the basin and inlet channel of a gravitational water vortex hydraulic turbine using the response surface methodology

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

Abstract

The gravitational water vortex hydraulic turbine is an appropriate turbine to be used under from a small to medium water flow rate and at a low head. This turbine extracts energy from an induced vortex in a basin, using a coaxial rotor with a vertical axis. The gravitational turbine has efficiencies that vary between 17 and 85%. Increasing the circulation was required in order to achieve the highest efficiency. The circulation is a function of some geometric parameters of the turbine, such as the ratios between the basin diameter (D) and the outlet diameter (d), d/D; the basin height (H) and D, H/D; the inlet channel width (w) and D, w/D; the inlet channel height (h) and D, h/D; the inlet channel long (L) and D, L/D; and the wrap-around angle (γ). Response surface methodology was utilized to determine the optimal geometry that results in the highest circulation. The values of the six variables that give the highest circulation of 2.089 m2/s were d/D = 0.167, H/D = 1.840, w/D = 0.2, h/D = 0.599, L/D = 0.500 and γ = 179.976°. In addition, an exponential equation was proposed for calculating the inlet velocity for each treatment. This equation is a function of d/D and the coefficient of discharge, Cd. The results of the exponential function were compared with experimental data from other investigations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:renene:v:187:y:2022:i:c:p:508-521
    DOI: 10.1016/j.renene.2022.01.113
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    References listed on IDEAS

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    1. Younhee Choi & Doosam Song & Sungmin Yoon & Junemo Koo, 2021. "Comparison of Factorial and Latin Hypercube Sampling Designs for Meta-Models of Building Heating and Cooling Loads," Energies, MDPI, vol. 14(2), pages 1-23, January.
    2. Sorrell, Steve, 2015. "Reducing energy demand: A review of issues, challenges and approaches," Renewable and Sustainable Energy Reviews, Elsevier, vol. 47(C), pages 74-82.
    3. Ullah, Rizwan & Cheema, Taqi Ahmad & Saleem, Abdul Samad & Ahmad, Sarvat Mushtaq & Chattha, Javed Ahmad & Park, Cheol Woo, 2020. "Preliminary experimental study on multi-stage gravitational water vortex turbine in a conical basin," Renewable Energy, Elsevier, vol. 145(C), pages 2516-2529.
    4. Cuevas, Antonio & Febrero, Manuel & Fraiman, Ricardo, 2004. "An anova test for functional data," Computational Statistics & Data Analysis, Elsevier, vol. 47(1), pages 111-122, August.
    5. Bouvant, Maël & Betancour, Johan & Velásquez, Laura & Rubio-Clemente, Ainhoa & Chica, Edwin, 2021. "Design optimization of an Archimedes screw turbine for hydrokinetic applications using the response surface methodology," Renewable Energy, Elsevier, vol. 172(C), pages 941-954.
    6. 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.
    7. Singh, Vineet Kumar & Singal, S.K., 2017. "Operation of hydro power plants-a review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 69(C), pages 610-619.
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    Cited by:

    1. Lei, Shuaihao & Cheng, Li & Sheng, Weigao, 2024. "Study on power losses and pressure fluctuations of diffuser mixed flow pump as turbine on different power generation speeds based on energy power models," Renewable Energy, Elsevier, vol. 237(PC).
    2. Velásquez, Laura & Romero-Menco, Fredys & Rubio-Clemente, Ainhoa & Posada, Alejandro & Chica, Edwin, 2024. "Numerical optimization and experimental validation of the runner of a gravitational water vortex hydraulic turbine with a spiral inlet channel and a conical basin," Renewable Energy, Elsevier, vol. 220(C).
    3. 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).
    4. 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.

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