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dc.contributor.authorFalnes, Jen
dc.contributor.authorKurniawan, Aen
dc.date.accessioned2015-06-25T10:25:22Z
dc.date.available2015-06-25T10:25:22Z
dc.date.issued2015-03en
dc.identifier.issn2054-5703en
dc.identifier.urihttp://hdl.handle.net/10026.1/3383
dc.description.abstract

The time-average wave power that is absorbed from an incident wave by means of a wave-energy conversion (WEC) unit, or by an array of WEC units-i.e. oscillating immersed bodies and/or oscillating water columns (OWCs)-may be mathematically expressed in terms of the WEC units' complex oscillation amplitudes, or in terms of the generated outgoing (diffracted plus radiated) waves, or alternatively, in terms of the radiated waves alone. Following recent controversy, the corresponding three optional expressions are derived, compared and discussed in this paper. They all provide the correct time-average absorbed power. However, only the first-mentioned expression is applicable to quantify the instantaneous absorbed wave power and the associated reactive power. In this connection, new formulae are derived that relate the 'added-mass' matrix, as well as a couple of additional reactive radiation-parameter matrices, to the difference between kinetic energy and potential energy in the water surrounding the immersed oscillating WEC array. Further, a complex collective oscillation amplitude is introduced, which makes it possible to derive, by a very simple algebraic method, various simple expressions for the maximum time-average wave power that may be absorbed by the WEC array. The real-valued time-average absorbed power is illustrated as an axisymmetric paraboloid defined on the complex collective-amplitude plane. This is a simple illustration of the so-called 'fundamental theorem for wave power'. Finally, the paper also presents a new derivation that extends a recently published result on the direction-average maximum absorbed wave power to cases where the WEC array's radiation damping matrix may be singular and where the WEC array may contain OWCs in addition to oscillating bodies.

en
dc.format.extent140305 - ?en
dc.languageengen
dc.language.isoengen
dc.subjectarraysen
dc.subjectcollective oscillation amplitudeen
dc.subjectdirection-average maximum absorbed poweren
dc.subjectkinetic–potential energy differenceen
dc.subjectreactive radiation parametersen
dc.subjectwave-energy conversionen
dc.titleFundamental formulae for wave-energy conversion.en
dc.typeJournal Article
plymouth.author-urlhttps://www.ncbi.nlm.nih.gov/pubmed/26064612en
plymouth.issue3en
plymouth.volume2en
plymouth.publication-statusPublished onlineen
plymouth.journalR Soc Open Scien
dc.identifier.doi10.1098/rsos.140305en
plymouth.organisational-group/Plymouth
dc.publisher.placeEnglanden
dcterms.dateAccepted2015-02-17en
dc.rights.embargoperiodNot knownen
rioxxterms.funderEPSRC
rioxxterms.identifier.projectThe hydrodynamics of deformable flexible fabric structures for wave energy conversion
rioxxterms.versionofrecord10.1098/rsos.140305en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2015-03en
rioxxterms.typeJournal Article/Reviewen
plymouth.funderThe hydrodynamics of deformable flexible fabric structures for wave energy conversion::EPSRCen


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