Optimisation of arrays of flap-type oscillating wave surge converters |
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| Institution: | 1. Hydraulics, Water Resources and Environment Division, Department of Civil Engineering, Faculty of Engineering, University of Porto (FEUP), Rua Dr. Roberto Frias, s/n, 4200-465 Porto, Portugal;2. Laboratory of Ocean Technology (LabOceano), Department of Naval Architecture and Ocean Engineering, Universidade Federal do Rio de Janeiro, Caixa Postal No. 68.508, Rio de Janeiro, RJ CEP 21.945-970, Brazil;3. Interdisciplinary Centre of Marine and Environmental Research of the University of Porto, Terminal de Cruzeiros do Porto de Leixões, Avenida General Norton de Matos, S/N, 4450-208 Matosinhos, Portugal;1. UCD School of Mathematical Sciences, University College Dublin, Belfield Dublin 4, Ireland;2. Aquamarine Power Limited, Elder House, 24 Elder Street, Edinburgh EH1 3DX, UK;3. Centre de Mathématiques et de Leurs Applications (CMLA), Ecole Normale Supérieure de Cachan, 94235 Cachan, France;1. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, 510641, China;2. School of Marine Science and Engineering, South China University of Technology, Guangzhou, 511442, China;3. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, 116024, China;1. Department of Ocean Engineering, College of Engineering, Ocean University of China, 238, Songling Road, Qingdao, 266100, China;2. Shandong Provincial Key Laboratory of Ocean Engineering, Ocean University of China, 238, Songling Road, Qingdao, 266100, China;3. Qingdao Municipal Key Laboratory of Ocean Renewable Energy, Ocean University of China, 238, Songling Road, Qingdao, 266100, China;4. Pilot National Laboratory for Marine Science and Technology (Qingdao), 1, Wenhai Road, Qingdao, 266237, China |
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| Abstract: | In this paper a finite array of hinged flap-type wave energy converters are modelled using a mathematical approach. These are illustrative of the Oyster device of Aquamarine Power Ltd.1 A novel semi-analytic solution method is presented for a set of boundary-value problems involving the scattering and radiation of waves by thin barriers used to model the device hydrodynamics. The approach makes use of the geometry to apply Fourier transforms, deriving non-singular integral equations in terms of the jumps in pressure across the flaps. These are then solved numerically using a highly efficient Galerkin expansion method. The focus of the results is on optimisation. We suggest optimal parameters for a single device, identifying flap length as crucial to device performance. This optimisation is then carried through to arrays with optimal arrangements and spacings being determined for a model sea state. Here, the lateral displacement of the devices emerges as a critical factor in optimal array configuration. |
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| Keywords: | Optimisation Wave surge converters Array Flap |
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