Aerodynamic Optimization of the Archimedes Spiral Wind Turbine Blade Based on the Kriging Surrogate Model and Differential Evolution.

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Title: Aerodynamic Optimization of the Archimedes Spiral Wind Turbine Blade Based on the Kriging Surrogate Model and Differential Evolution.
Authors: Li, Mengyao1,2 (AUTHOR), Li, Zhi1,2 (AUTHOR), Xu, Shuhui1,2 (AUTHOR) xushuhui@qlu.edu.cn
Source: Energies (19961073). May2026, Vol. 19 Issue 10, p2298. 23p.
Subject Terms: *Differential evolution, *Turbine blades, *Wind power, *Gaussian processes, *Computational fluid dynamics, *Wind turbine efficiency, *Computational aerodynamics
Abstract: The Archimedes Spiral Wind Turbine (ASWT) is a novel horizontal axis wind turbine for urban low-wind-speed applications. To improve the wind energy capture efficiency of the ASWT, this study adopted a multivariable global optimization strategy. A differential evolution–Kriging surrogate model method was employed for blade structural optimization. The blade geometry was parametrically modeled, and three design variables were selected: spiral pitch, opening angle, and spiral rotation number (SRN). Latin hypercube sampling was used to generate sample points in the design space. The power coefficients (Cp) of all design samples were calculated by Computational Fluid Dynamics (CFD) simulations. A Kriging surrogate model was constructed to map the nonlinear relationship between the design variables and Cp. The optimal blade geometry was obtained by solving the surrogate model with differential evolution (DE) and validated by CFD. The results showed that at the design condition of a wind speed of 8 m/s and a tip speed ratio (TSR) of 1.875, the relative error between Kriging model predictions and CFD simulations was only 0.27%. The optimized blade achieved a Cp of 0.3085, representing a 4.78% improvement over the best sample blade, with both achieving their peak power coefficients at TSR = 1.875. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Aerodynamic Optimization of the Archimedes Spiral Wind Turbine Blade Based on the Kriging Surrogate Model and Differential Evolution.
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  Data: <searchLink fieldCode="AR" term="%22Li%2C+Mengyao%22">Li, Mengyao</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Li%2C+Zhi%22">Li, Zhi</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Xu%2C+Shuhui%22">Xu, Shuhui</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> xushuhui@qlu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Energies+%2819961073%29%22">Energies (19961073)</searchLink>. May2026, Vol. 19 Issue 10, p2298. 23p.
– Name: Subject
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  Data: *<searchLink fieldCode="DE" term="%22Differential+evolution%22">Differential evolution</searchLink><br />*<searchLink fieldCode="DE" term="%22Turbine+blades%22">Turbine blades</searchLink><br />*<searchLink fieldCode="DE" term="%22Wind+power%22">Wind power</searchLink><br />*<searchLink fieldCode="DE" term="%22Gaussian+processes%22">Gaussian processes</searchLink><br />*<searchLink fieldCode="DE" term="%22Computational+fluid+dynamics%22">Computational fluid dynamics</searchLink><br />*<searchLink fieldCode="DE" term="%22Wind+turbine+efficiency%22">Wind turbine efficiency</searchLink><br />*<searchLink fieldCode="DE" term="%22Computational+aerodynamics%22">Computational aerodynamics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The Archimedes Spiral Wind Turbine (ASWT) is a novel horizontal axis wind turbine for urban low-wind-speed applications. To improve the wind energy capture efficiency of the ASWT, this study adopted a multivariable global optimization strategy. A differential evolution–Kriging surrogate model method was employed for blade structural optimization. The blade geometry was parametrically modeled, and three design variables were selected: spiral pitch, opening angle, and spiral rotation number (SRN). Latin hypercube sampling was used to generate sample points in the design space. The power coefficients (Cp) of all design samples were calculated by Computational Fluid Dynamics (CFD) simulations. A Kriging surrogate model was constructed to map the nonlinear relationship between the design variables and Cp. The optimal blade geometry was obtained by solving the surrogate model with differential evolution (DE) and validated by CFD. The results showed that at the design condition of a wind speed of 8 m/s and a tip speed ratio (TSR) of 1.875, the relative error between Kriging model predictions and CFD simulations was only 0.27%. The optimized blade achieved a Cp of 0.3085, representing a 4.78% improvement over the best sample blade, with both achieving their peak power coefficients at TSR = 1.875. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.3390/en19102298
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 23
        StartPage: 2298
    Subjects:
      – SubjectFull: Differential evolution
        Type: general
      – SubjectFull: Turbine blades
        Type: general
      – SubjectFull: Wind power
        Type: general
      – SubjectFull: Gaussian processes
        Type: general
      – SubjectFull: Computational fluid dynamics
        Type: general
      – SubjectFull: Wind turbine efficiency
        Type: general
      – SubjectFull: Computational aerodynamics
        Type: general
    Titles:
      – TitleFull: Aerodynamic Optimization of the Archimedes Spiral Wind Turbine Blade Based on the Kriging Surrogate Model and Differential Evolution.
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            NameFull: Li, Mengyao
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            NameFull: Li, Zhi
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          Name:
            NameFull: Xu, Shuhui
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            – D: 15
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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            – Type: issn-print
              Value: 19961073
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              Value: 19
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              Value: 10
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            – TitleFull: Energies (19961073)
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