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Improved linearised models of wind turbine aerodynamics and control system dynamics using harmonic linearisation

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dc.contributor.authorLupton, RC
dc.contributor.authorLangley, RS
dc.contributor.orcidLupton, Rick [0000-0001-8622-3085]
dc.contributor.orcidLangley, Robin [0000-0001-9978-9790]
dc.date.accessioned2018-12-20T00:30:56Z
dc.date.available2018-12-20T00:30:56Z
dc.date.issued2019
dc.description.abstractWhere non-linearities are not too strong, linearised frequency-domain approaches offer fast calculations, which can be valuable for preliminary design of wind turbine blades, foundations and floating platforms. But the aerodynamic and control system behaviour of a wind turbine is noticeably non-linear. Here we show for the first time that the technique of harmonic linearisation can reduce error in the approximation of aerodynamic and control system non-linearities, compared to the more common tangent linearisation. After deriving the linearised models, comparing linearised results to non-linear simulations for the NREL 5MW turbine shows that: (1) harmonic linearisation captures aero-elastic effects and non-linearity in aerodynamic forces, giving a 2–4x reduction in error compared to the tangent linearisation; (2) harmonic linearisation can capture non-linear wake dynamics; and (3) the torque and pitch controller behaviour can be approximated with good results away from the rated wind speed but with some challenges when the two controllers interact. Further improvements in the linearised model of the control system have been identified. By improving the accuracy of linearised models, harmonic linearisation is a promising means to extend the applicability of frequency-domain approaches for initial design and optimisation of wind turbines.
dc.description.sponsorshipThis work was funded by an EPSRC doctoral training award (ref. 1089390) and supported by GL Garrad Hassan.
dc.identifier.doi10.17863/CAM.34535
dc.identifier.eissn1879-0682
dc.identifier.issn0960-1481
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/287228
dc.language.isoeng
dc.publisherElsevier BV
dc.publisher.urlhttp://dx.doi.org/10.1016/j.renene.2018.11.067
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectWind energy
dc.subjectAerodynamic loads
dc.subjectFrequency-domain modelling
dc.subjectHarmonic linearisation
dc.subjectEquivalent linearisation
dc.subjectNon-linearity
dc.titleImproved linearised models of wind turbine aerodynamics and control system dynamics using harmonic linearisation
dc.typeArticle
dcterms.dateAccepted2018-11-15
prism.endingPage162
prism.publicationDate2019
prism.publicationNameRenewable Energy
prism.startingPage148
prism.volume135
pubs.funder-project-idEPSRC (1089390)
rioxxterms.licenseref.startdate2019-05-01
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.typeJournal Article/Review
rioxxterms.versionAM
rioxxterms.versionofrecord10.1016/j.renene.2018.11.067

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