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Modelling of a wave energy converter array with a nonlinear power take-off system in the frequency domain
Affiliation:1. Computational Mechanical and Materials Engineering, Engineering and Technology Institute Groningen, Faculty of Science & Engineering, University of Groningen, Nijenborgh 4, Groningen 9747AG, The Netherlands;2. Computational Mechanical and Materials Engineering, Engineering and Technology Institute Groningen, Faculty of Science & Engineering, University of Groningen, Nijenborgh 4, Groningen 9747AG, The Netherlands;1. The School of Engineering and Materials Science, Queen Mary, University of London, Mile End Road, London E1 4NS, UK;2. College of Engineering, Mathematics and Physical Sciences, University of Exeter, Exeter EX4 4QF, UK
Abstract:This paper presents a nonlinear frequency domain model and uses this to assess the performance of a wave energy converter (WEC) array with a nonlinear power take-off (PTO). In this model, the nonlinear PTO forces are approximated by a truncated Fourier series, while the dynamics of the WEC array are described by a set of linear motion equations in the frequency domain, and the hydrodynamic coefficients are obtained with the boundary element method. A single heave absorber is firstly investigated to establish the accuracy of the new model in capturing the nonlinear behaviour of the pumping system. Subsequently, simulations of a 2D array with 18 WECs and a pillar in the centre (representing the tower of a wind turbine) are carried out to understand wave interference effects. Several optimisation strategies are proposed to improve the overall performance of the WEC array. These results demonstrate a computationally effective method for accounting for nonlinear effects in large WEC arrays. The proposed approach may potentially be applied for developing control algorithms for the adaptability of a 2D array to incoming wave excitation.
Keywords:Ocean Grazer  Nonlinear power take-off  Wave energy converter arrays  Fourier approximation approach
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