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Mathematical and numerical modeling of the AquaBuOY wave energy converter

Wacher, Abigail; Nielsen, Kim

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Authors

Abigail Wacher

Kim Nielsen



Abstract

This paper presents the mathematical modeling and numerical methodology performed prior to the prototype deployment of the AquaBuOY, one of the few wave energy devices that have reached the ocean deployment stage. The combination of numerical computations, and laboratory testing produced some encouraging findings about how the AquaBuOY responds to real wave conditions. However, it also highlighted deficiencies in some of the early modeling, which emphasized the need for a time domain model in realistic wave conditions that includes accurate hydrodynamic and drag coefficients. This paper focuses on the governing equations that model the vertical dynamics of the AquaBuOY and the numerical solutions of these equations in order to predict the absorbed power of the device. Numerical results are presented in the time domain for both regular and irregular wave regimes (realistic wave conditions) as well as compared to experimental data in a regular wave regime. While the two body system is challenging to model, due to the inclusion of variables such as the wave forcing term as well as identifying the non linear damping term along with a linear spring term needed to model the power takeoff system, it does provide a robust tool for wave energy research.

Citation

Wacher, A., & Nielsen, K. (2010). Mathematical and numerical modeling of the AquaBuOY wave energy converter. Mathematics-in-industry case studies, 2, 16-33

Journal Article Type Article
Publication Date Jan 1, 2010
Deposit Date Jan 26, 2011
Publicly Available Date Mar 28, 2024
Journal Mathematics-in-Industry Case Studies
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 2
Pages 16-33
Keywords Wave energy, Industrial mathematical modeling.
Publisher URL http://micsjournal.ca/index.php/mics/article/view/13

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