Airfoil Optimization Design of Vertical-Axis Wind Turbine Based on Kriging Surrogate Model and MIGA.

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Title: Airfoil Optimization Design of Vertical-Axis Wind Turbine Based on Kriging Surrogate Model and MIGA.
Authors: Wang, Quan1,2 (AUTHOR) quan_wang2003@163.com, Zhang, Zhaogang1,2 (AUTHOR)
Source: Energies (19961073). Jun2025, Vol. 18 Issue 11, p2927. 22p.
Subjects: Computational fluid dynamics, Latin hypercube sampling, Flow separation, Bernstein polynomials, Wind turbines, Hypercubes
Abstract: The aerodynamic optimization of the airfoil of vertical-axis wind turbines (VAWTs) is limited by the time-consuming nature of computational fluid dynamics (CFD), resulting in difficulty in the efficient implementation of multi-parameter optimization. In response to this challenge, this study constructed a collaborative optimization framework based on the Kriging surrogate model and the multi-island genetic algorithm (MIGA). Based on the NACA 0015 airfoil, 13 geometric variables (including 12 Bernstein polynomial coefficients and 1 installation angle) were defined through the Classification and Shape Transformation (CST) parameterization method. Through sensitivity analysis, seven key parameters were screened as design variables. Seventy training samples and ten validation samples were generated via Latin hypercube sampling to construct a high-precision Kriging surrogate model (R2 = 0.91368). The optimized results show that the power coefficient of the new airfoil increases by 14.2% under the condition of the tip velocity ratio (TSR > 1.5), and the average efficiency of the entire working condition increases by 9.8%. The drag reduction mechanism is revealed through pressure cloud maps and velocity field analysis. The area of the high-pressure zone at the leading edge decreases by 23%, and the flow separation phenomenon at the trailing edge is significantly weakened. This research provides an engineering solution that takes into account both computational efficiency and optimization accuracy for the VAWT airfoil design. [ABSTRACT FROM AUTHOR]
Copyright of Energies (19961073) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Airfoil Optimization Design of Vertical-Axis Wind Turbine Based on Kriging Surrogate Model and MIGA.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Quan%22">Wang, Quan</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> quan_wang2003@163.com</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Zhaogang%22">Zhang, Zhaogang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Energies+%2819961073%29%22">Energies (19961073)</searchLink>. Jun2025, Vol. 18 Issue 11, p2927. 22p.
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  Data: <searchLink fieldCode="DE" term="%22Computational+fluid+dynamics%22">Computational fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Latin+hypercube+sampling%22">Latin hypercube sampling</searchLink><br /><searchLink fieldCode="DE" term="%22Flow+separation%22">Flow separation</searchLink><br /><searchLink fieldCode="DE" term="%22Bernstein+polynomials%22">Bernstein polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Wind+turbines%22">Wind turbines</searchLink><br /><searchLink fieldCode="DE" term="%22Hypercubes%22">Hypercubes</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The aerodynamic optimization of the airfoil of vertical-axis wind turbines (VAWTs) is limited by the time-consuming nature of computational fluid dynamics (CFD), resulting in difficulty in the efficient implementation of multi-parameter optimization. In response to this challenge, this study constructed a collaborative optimization framework based on the Kriging surrogate model and the multi-island genetic algorithm (MIGA). Based on the NACA 0015 airfoil, 13 geometric variables (including 12 Bernstein polynomial coefficients and 1 installation angle) were defined through the Classification and Shape Transformation (CST) parameterization method. Through sensitivity analysis, seven key parameters were screened as design variables. Seventy training samples and ten validation samples were generated via Latin hypercube sampling to construct a high-precision Kriging surrogate model (R2 = 0.91368). The optimized results show that the power coefficient of the new airfoil increases by 14.2% under the condition of the tip velocity ratio (TSR > 1.5), and the average efficiency of the entire working condition increases by 9.8%. The drag reduction mechanism is revealed through pressure cloud maps and velocity field analysis. The area of the high-pressure zone at the leading edge decreases by 23%, and the flow separation phenomenon at the trailing edge is significantly weakened. This research provides an engineering solution that takes into account both computational efficiency and optimization accuracy for the VAWT airfoil design. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Energies (19961073) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.3390/en18112927
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      – Code: eng
        Text: English
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        PageCount: 22
        StartPage: 2927
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      – SubjectFull: Computational fluid dynamics
        Type: general
      – SubjectFull: Latin hypercube sampling
        Type: general
      – SubjectFull: Flow separation
        Type: general
      – SubjectFull: Bernstein polynomials
        Type: general
      – SubjectFull: Wind turbines
        Type: general
      – SubjectFull: Hypercubes
        Type: general
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      – TitleFull: Airfoil Optimization Design of Vertical-Axis Wind Turbine Based on Kriging Surrogate Model and MIGA.
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            NameFull: Wang, Quan
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            NameFull: Zhang, Zhaogang
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            – D: 01
              M: 06
              Text: Jun2025
              Type: published
              Y: 2025
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            – TitleFull: Energies (19961073)
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