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COBEM 2023

27th International Congress of Mechanical Engineering

Computational tool for preliminary eigenvalues analysis of wind turbine blades

Submission Author: Júlia da Silva Maschietto , SP , Brazil
Co-Authors: Júlia da Silva Maschietto, Antonio Cândido Faleiros, Juan Pablo Julca Avila
Presenter: Júlia da Silva Maschietto

doi://10.26678/ABCM.COBEM2023.COB2023-1087

 

Abstract

With the growing participation of wind energy in the Brazilian and world energy matrix, investments in research are constantly being made by companies for the development of new wind turbines. Wind turbines are equipment that converts wind energy into electrical energy. The first Brazilian wind turbine was installed in Fernando de Noronha in 1992, at the same time the creation of an Incentive Program for Alternative Electric Energy Sources took place and since then Brazil has significantly increased the share of wind energy in its energy matrix. Wind blades are subjected to high-speed winds, which can cause unwanted phenomena if the project is not considering important variables, such as bending and torsion vibrations caused by the rotation movement during the passage of air through the blades of the blade, these are parameters important for a preliminary study during the design of a wind turbine. Coupled bending and torsional vibrations occur in asymmetrical cross-sections because the bending center does not coincide with the centroid. In contrast, asymmetrical profiles are widely used due to greater lift generation. Therefore, the project must contemplate the most optimized scenario so that there are no effects of Fluid-Structure Interaction or damage to the operator and manufacturer in the performance requirements during the operation of the wind turbine. During the first stages of the design of a wind blade, it is necessary to determine the natural frequencies, in addition to predicting what form these coupled modes will assume. The problem that will be addressed in this article is to solve the eigenvalues through a computational tool developed with the help of the Mathematica software capable of solving the flexo-torsional vibrations frequencies of the blade. To solve the problem, studies were carried out with exact and approximate solution methods, through the Assumed Modes Method and Ritz Galerkin. Furthermore, parametric studies were carried out in order to extend the solution to any wind blade. After the simulations, the results were adequate when compared to those in the literature.

Keywords

wind turbine blade, Eigenvalue analysis, Galerkin's method, Euler beam model, Flexo-Torsional Couping

 

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