Applied Mathematics and Mechanics (English Edition) ›› 2025, Vol. 46 ›› Issue (8): 1417-1432.doi: https://doi.org/10.1007/s10483-025-3279-6

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Optimizing wind energy harvester with machine learning

Shun WENG1, Liying WU1, Zuoqiang LI1, Lanbin ZHANG2, Huliang DAI3,()   

  1. 1.School of Civil and Hydrolic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
    2.Faculty of Engineering, China University of Geosciences, Wuhan 430074, China
    3.School of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2025-03-05 Revised:2025-06-02 Online:2025-07-28 Published:2025-07-28
  • Contact: Huliang DAI, E-mail: daihulianglx@hust.edu.cn
  • Supported by:
    Project supported by the National Key R&D Program of China (No. 2021YFF0501001), the National Natural Science Foundation of China (Nos. 52308315, 51922046, and 52192661), the Research Funds of Huazhong University of Science and Technology (No. 2023JCYJ014), the China Postdoctoral Science Foundation (No. 2023M731206), the Research Funds of China Railway Siyuan Survey and Design Group Co. Ltd. (Nos. KY2023014S, KY2023126S, 2021K085, 2020K006, and 2020K172), and the Autonomous Innovation Fund of Hubei Province of China (No. 5003242027)

Abstract:

Optimizing wind energy harvesting performance remains a significant challenge. Machine learning (ML) offers a promising approach for addressing this challenge. This study proposes an ML-based approach using the radial basis function neural network (RBFNN) and differential evolution (DE) to predict and optimize the structural parameters (the diameter of the spherical bluff body D, the total spring stiffness k, and the length of the piezoelectric cantilever beam L) of the wind energy harvester (WEH). The RBFNN model is trained with theoretical data and validated with wind tunnel experimental results, achieving the coefficient-of-determination scores R2 of 97.8% and 90.3% for predicting the average output power Pavg and aero-electro-mechanical efficiency ηaem, respectively. The DE algorithm is used to identify the optimal parameter combinations for wind speeds U ranging from 2.5 m/s to 6.5 m/s. The maximum Pavg is achieved when D=57.5 mm, k=28.8 N/m, L=112.1 mm, and U=4.6 m/s, while the maximum ηaem is achieved when D=52.7 mm, k=29.2 N/m, L=89.2 mm, and U=4.7 m/s. Compared with that of the non-optimized structure, the WEH performance is improved by 28.6% in Pavg and 19.1% in ηaem.

Key words: wind energy harvester (WEH), vortex-induced vibration (VIV), piezoelectric effect, machine learning (ML), radial basis function neural network (RBFNN), differential evolution (DE)

2010 MSC Number: 

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