Efficient time domain response computation of massive wave power farms

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dc.citation.firstpage6339en_US
dc.citation.journalTitleNonlinear Dynamicsen_US
dc.citation.lastpage6356en_US
dc.citation.volumeNumber112en_US
dc.contributor.authorSpanos, Pol D.en_US
dc.contributor.authorMalara, Giovannien_US
dc.contributor.authorArena, Feliceen_US
dc.date.accessioned2024-07-25T20:55:17Zen_US
dc.date.available2024-07-25T20:55:17Zen_US
dc.date.issued2024en_US
dc.description.abstractA potential future challenge in the wave energy sector will involve the design and construction of massive wave power farms. That is, collections of several (> 100) wave energy converters (WEC) operating in identical environmental conditions at a distance comparable with typical water wave lengths. In this context, the WECs are likely to be influenced by each another by radiation force effects that are associated with the radiated wave field propagated by WECs operating in the surrounding wave field. These effects are commonly captured by the Cummins’ equation, where the radiation force is expressed as a convolution integral depending on the past values of the WEC response. Due to this mathematical representation, the time domain computation of the wave farm response can become computationally daunting. This article proposes one approach for computing efficiently the wave farm response in the time domain. Specifically, it demonstrates that the values of the radiation force components can be determined at each time step from their previous values by approximating the retardation function matrix elements via the Prony method. A notable advantage of this approach with respect to the ones available in the open literature is that it does not require either the storage of past response values or additional differential equations. Instead, it uses simple algebraic expressions for updating at each time instant the radiation force values. Obviously, this feature can induce significant computational efficiency in analyzing an actual wave farm facility.en_US
dc.identifier.citationSpanos, P. D., Malara, G., & Arena, F. (2024). Efficient time domain response computation of massive wave power farms. Nonlinear Dynamics, 112(8), 6339–6356. https://doi.org/10.1007/s11071-024-09358-5en_US
dc.identifier.digitals11071-024-09358-5en_US
dc.identifier.doihttps://doi.org/10.1007/s11071-024-09358-5en_US
dc.identifier.urihttps://hdl.handle.net/1911/117518en_US
dc.language.isoengen_US
dc.publisherSpringer Natureen_US
dc.rightsExcept where otherwise noted, this work is licensed under a Creative Commons Attribution (CC BY) license.  Permission to reuse, publish, or reproduce the work beyond the terms of the license or beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.titleEfficient time domain response computation of massive wave power farmsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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