Application of Extended Vortex Theory for Blade Element Analysis of Horizontal-axis Wind Turbines

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dc.contributor.authorWood, D.H.
dc.date.accessioned2018-01-15T19:55:48Z
dc.date.available2018-01-15T19:55:48Z
dc.date.issued2018
dc.description.abstractVortex theory is used in blade element analysis (BEA) of wind turbines to account for the finite number of blades, N, usually in terms of Prandtl's “tip loss function”, F. Wood et al. [1] calculated alternative “trailing vorticity functions” using helical vortex theory. F was found to be inaccurate over the entire blade at low tip speed ratio and in error near the hub at any tip speed ratio. Further, the trailing vorticity function is not constrained to be less than unity as is F. Wood & Okulov [2] analyzed the nonlinear terms in the streamtube equations for angular and axial momentum and found an accurate way of including these in BEA. This paper describes the use of the trailing vorticity functions, which can be different in the axial and azimuthal directions, in an otherwise standard blade element analyses. Comparison is made to wind tunnel tests of model rotors and to calculations using F. There is only a small difference in the calculated power and thrust coefficients. The present calculations show higher induced axial velocities in the tip and hub regions and it is suggested that the trailing vorticity functions can be used in situations where F cannot.en_US
dc.description.grantingagencyNatural Sciences and Engineering Research Council - Discovery Granten_US
dc.identifier.citationWood, D. H. (2018). Application of extended vortex theory for blade element analysis of horizontal-axis wind turbines. Renewable Energy. 10.1016/j.renene.2017.12.085en_US
dc.identifier.doi10.1016/j.renene.2017.12.085en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/35039
dc.identifier.urihttp://hdl.handle.net/1880/106262
dc.language.isoenen_US
dc.publisherRenewable Energyen_US
dc.publisher.facultySchulich School of Engineeringen_US
dc.publisher.hasversionPost-printen_US
dc.publisher.institutionUniversity of Calgaryen_US
dc.publisher.policyhttps://www.elsevier.com/about/our-business/policies/sharingen_US
dc.rightsUnless otherwise indicated, this material is protected by copyright and has been made available with authorization from the copyright owner. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.en_US
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0en_US
dc.subjectwind turbineen_US
dc.subjecttip lossen_US
dc.subjectblade element analysisen_US
dc.subjecttrailing vorticity functionen_US
dc.titleApplication of Extended Vortex Theory for Blade Element Analysis of Horizontal-axis Wind Turbinesen_US
dc.typejournal article
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