An Aerodynamic Optimization Approach for Wind Turbine Blades Using Proper Generalized Decomposition

Nacer Eddine Boumezbeur () and Arezki Smaili
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Nacer Eddine Boumezbeur: Laboratory of Green and Mechanical Development-LGMD, Ecole Nationale Polytechnique, P.B. 182 El-Harrach, Algiers 16200, Algeria
Arezki Smaili: Laboratory of Green and Mechanical Development-LGMD, Ecole Nationale Polytechnique, P.B. 182 El-Harrach, Algiers 16200, Algeria

Energies, 2025, vol. 18, issue 21, 1-20

Abstract: A new approach for optimizing the blade profile of a horizontal axis wind turbine is proposed in this paper, based on the combination of the Blade Element Momentum (BEM) method and Proper Generalized Decomposition (PGD). The resulting algorithm was implemented in MATLAB (R2010A). To investigate the applicability of the proposed BEM-PGD method, simulations were conducted using the NREL phase VI turbine. By focusing on the tangential force coefficient as a parametrized solution, the study demonstrated a 21.7% improvement in the power coefficient relative to the baseline blade corresponding to a 20 kW turbine, while the tip speed ratio (TSR) ranged from 1 to 12, as assessed through a quantitative metric comparing the optimized and reference curves. These advancements are attributed to the algorithm’s capability to parameterize the solution and to select the appropriate airfoil type, thickness, chord, and twist, allowing for an optimized and realistic blade design.

Keywords: horizontal axis wind turbine; aerodynamic optimization; blade design; variables separation; proper generalized decomposition (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2025
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