Parametric analysis and optimization of lift-type vertical axis wind turbines using machine learning techniques

The power coefficients ( C p ) of helical and Φ-type vertical axis wind turbines remain insufficiently explored compared with the H-type ones. A unified machine learning (ML) model was developed to conduct the parametric study of C p across the H-type, helical, and Φ-type turbines with various structural parameters and turbulence intensity ( I u ). Three-dimensional computational fluid dynamics (CFD) simulations, validated against experimental data, were conducted to generate a reliable dataset and elucidate the flow mechanisms. C p of the Φ-type turbine is insensitive to the aspect ratio ( AR ) due to minimal tip loss, whereas a larger AR of the helical turbine expands midspan regions unaffected by tip vortices, improving the maximum torque coefficient ( C m ) and C p . Higher solidity ( σ ) reduces the optimal tip speed ratio and induces larger angles of attack, slightly aggravating the dynamic stall of helical turbines and decreasing C m . Positive pitch angles ( β ), orienting leading edges inward, decrease the negative C m and increase C p . For helical turbines, increased twist angles reduce C p , and the effects of parameters on C p are mutually independent. The curvature ratio of the Φ-type turbine and I u only slightly affect C p . The particle swarm optimization algorithm incorporated with the ML model effectively improves C p for all turbines. • A unified machine learning model is proposed to predict C p for various VAWTs. • Comparative aerodynamics of H-type, helical, and Φ-type turbines are revealed. • Dynamic stall and C m under various parameters are examined via ML model and CFD. • The effects of parameters on C p of the helical turbine are mutually independent. • The XGBR-PSO model outperforms in optimizing parameters of different turbines.

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Publication Details

Journal
Ocean Engineering
Published
2026-02-09
DOI
https://doi.org/10.1016/j.oceaneng.2026.124569
Primary Topic
Wind Energy Research and Development
Type
article
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article

Parametric analysis and optimization of lift-type vertical axis wind turbines using machine learning techniques

H.Y. Peng, H.H. Huang, Q.B. Lin, H.J. Liu
Ocean Engineering
Wind Energy Research and Development
article

Parametric analysis and optimization of lift-type vertical axis wind turbines using machine learning techniques

H.Y. Peng, H.H. Huang, Q.B. Lin, H.J. Liu
article en

Abstract

The power coefficients ( C p ) of helical and Φ-type vertical axis wind turbines remain insufficiently explored compared with the H-type ones. A unified machine learning (ML) model was developed to conduct the parametric study of C p across the H-type, helical, and Φ-type turbines with various structural parameters and turbulence intensity ( I u ). Three-dimensional computational fluid dynamics (CFD) simulations, validated against experimental data, were conducted to generate a reliable dataset and elucidate the flow mechanisms. C p of the Φ-type turbine is insensitive to the aspect ratio ( AR ) due to minimal tip loss, whereas a larger AR of the helical turbine expands midspan regions unaffected by tip vortices, improving the maximum torque coefficient ( C m ) and C p . Higher solidity ( σ ) reduces the optimal tip speed ratio and induces larger angles of attack, slightly aggravating the dynamic stall of helical turbines and decreasing C m . Positive pitch angles ( β ), orienting leading edges inward, decrease the negative C m and increase C p . For helical turbines, increased twist angles reduce C p , and the effects of parameters on C p are mutually independent. The curvature ratio of the Φ-type turbine and I u only slightly affect C p . The particle swarm optimization algorithm incorporated with the ML model effectively improves C p for all turbines. • A unified machine learning model is proposed to predict C p for various VAWTs. • Comparative aerodynamics of H-type, helical, and Φ-type turbines are revealed. • Dynamic stall and C m under various parameters are examined via ML model and CFD. • The effects of parameters on C p of the helical turbine are mutually independent. • The XGBR-PSO model outperforms in optimizing parameters of different turbines.

Ocean EngineeringVol. 352
Harbin Institute of Technology (CN)
Affordable and clean energy
Openalex Percentile: Top 62%
Wind Energy Research and Development
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