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Response of U-Oscillating Water Column arrays: semi-analytical approach and numerical results

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  • Malara, Giovanni
  • Arena, Felice

Abstract

Nowadays, sea waves are recognized as an energy source that may contribute in the future to the global electricity demand. This fact manifests itself with the quite relevant number of proposed devices aimed at converting wave energy to electrical energy. In this context, the Oscillating Water Column (OWC) system plays a leading role, as it demonstrated flexibility, in the sense that it can work in conjunction with other marine systems, and effectiveness from a strict energy harvesting perspective. As a subclass, the U-Oscillating Water Column (U-OWC) was developed for further improving the OWC performance in mild-seas, where the natural resource is not abundant, such as in the Mediterranean Sea. This wave energy converter is composed by a water column in the lower part, an air pocket over the water column which is connected to a Power Take-Off device, and an external vertical duct connecting the water column to the open wave field. This paper deals with the problem of determining the response of a plant composed by an array of U-OWCs. This problem is relevant to the design of upright breakwaters embodying U-OWC chambers, where the interaction between contiguous U-OWCs influences the dynamics of each water column and, thus, the energy-wise performance of the whole plant. The models proposed currently in the literature are based on two-dimensional approaches neglecting three-dimensional effects and the mutual interference among the chambers. Therefore, firstly, the system of integro-differential equations describing the array dynamics is derived. Then, a semi-analytical approach is proposed for determining infinite frequency added mass and retardation function matrices. For this purpose, the wave field is described by the linear water wave theory and the boundary value problems pertaining to the determination of these hydrodynamic parameters are solved by combining Fourier transform and domain decomposition techniques.

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  • Malara, Giovanni & Arena, Felice, 2019. "Response of U-Oscillating Water Column arrays: semi-analytical approach and numerical results," Renewable Energy, Elsevier, vol. 138(C), pages 1152-1165.
    • Handle: RePEc:eee:renene:v:138:y:2019:i:c:p:1152-1165
    DOI: 10.1016/j.renene.2019.02.018
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    References listed on IDEAS

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    1. Arena, Felice & Laface, Valentina & Malara, Giovanni & Romolo, Alessandra & Viviano, Antonino & Fiamma, Vincenzo & Sannino, Gianmaria & Carillo, Adriana, 2015. "Wave climate analysis for the design of wave energy harvesters in the Mediterranean Sea," Renewable Energy, Elsevier, vol. 77(C), pages 125-141.
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    3. Malara, G. & Gomes, R.P.F. & Arena, F. & Henriques, J.C.C. & Gato, L.M.C. & Falcão, A.F.O., 2017. "The influence of three-dimensional effects on the performance of U-type oscillating water column wave energy harvesters," Renewable Energy, Elsevier, vol. 111(C), pages 506-522.
    4. Malara, Giovanni & Arena, Felice, 2013. "Analytical modelling of an U-Oscillating Water Column and performance in random waves," Renewable Energy, Elsevier, vol. 60(C), pages 116-126.
    5. Babarit, A., 2013. "On the park effect in arrays of oscillating wave energy converters," Renewable Energy, Elsevier, vol. 58(C), pages 68-78.
    6. Malara, Giovanni & Romolo, Alessandra & Fiamma, Vincenzo & Arena, Felice, 2017. "On the modelling of water column oscillations in U-OWC energy harvesters," Renewable Energy, Elsevier, vol. 101(C), pages 964-972.
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    2. Güths, A.K. & Teixeira, P.R.F. & Didier, E., 2022. "A novel geometry of an onshore Oscillating Water Column wave energy converter," Renewable Energy, Elsevier, vol. 201(P1), pages 938-949.
    3. Moretti, Giacomo & Malara, Giovanni & Scialò, Andrea & Daniele, Luca & Romolo, Alessandra & Vertechy, Rocco & Fontana, Marco & Arena, Felice, 2020. "Modelling and field testing of a breakwater-integrated U-OWC wave energy converter with dielectric elastomer generator," Renewable Energy, Elsevier, vol. 146(C), pages 628-642.
    4. Guo, Baoming & Ning, Dezhi & Wang, Rongquan & Ding, Boyin, 2021. "Hydrodynamics of an oscillating water column WEC - Breakwater integrated system with a pitching front-wall," Renewable Energy, Elsevier, vol. 176(C), pages 67-80.
    5. Gradowski, M. & Gomes, R.P.F. & Alves, M., 2020. "Hydrodynamic optimisation of an axisymmetric floating Oscillating Water Column type wave energy converter with an enlarged inner tube," Renewable Energy, Elsevier, vol. 162(C), pages 1519-1532.
    6. Scialò, A. & Henriques, J.C.C. & Malara, G. & Falcão, A.F.O. & Gato, L.M.C. & Arena, F., 2021. "Power take-off selection for a fixed U-OWC wave power plant in the Mediterranean Sea: The case of Roccella Jonica," Energy, Elsevier, vol. 215(PA).
    7. Scandura, Pietro & Malara, Giovanni & Arena, Felice, 2021. "The inclusion of non-linearities in a mathematical model for U-Oscillating Water Column wave energy converters," Energy, Elsevier, vol. 218(C).
    8. Zhu, Guixun & Samuel, John & Zheng, Siming & Hughes, Jason & Simmonds, David & Greaves, Deborah, 2023. "Numerical investigation on the hydrodynamic performance of a 2D U-shaped Oscillating Water Column wave energy converter," Energy, Elsevier, vol. 274(C).
    9. Yong Ma & Shan Ai & Lele Yang & Aiming Zhang & Sen Liu & Binghao Zhou, 2020. "Hydrodynamic Performance of a Pitching Float Wave Energy Converter," Energies, MDPI, vol. 13(7), pages 1-27, April.
    10. Trivedi, Kshma & Koley, Santanu, 2023. "Performance of a hybrid wave energy converter device consisting of a piezoelectric plate and oscillating water column device placed over an undulated seabed," Applied Energy, Elsevier, vol. 333(C).
    11. Foteinis, Spyros, 2022. "Wave energy converters in low energy seas: Current state and opportunities," Renewable and Sustainable Energy Reviews, Elsevier, vol. 162(C).
    12. Guo, Baoming & Wang, Rongquan & Ning, Dezhi & Chen, Lifen & Sulisz, Wojciech, 2020. "Hydrodynamic performance of a novel WEC-breakwater integrated system consisting of triple dual-freedom pontoons," Energy, Elsevier, vol. 209(C).

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