The Circulation Distribution on the Lifting Line for a Given Extracted Power

Presently, there exist few numerical methods which treat the inverse problem for the determination of the geometry of wind turbine blades. In this work, authors intend to solve the inverse optimum project for horizontal axis wind turbine in which the selection of the circulation distribution is obta...

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Bibliographic Details
Main Authors: Ali Helali, Badreddine Kamoun, David Afungchui, Mohamed Jomaa Safi
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:International Journal of Rotating Machinery
Online Access:http://dx.doi.org/10.1155/2012/476908
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Summary:Presently, there exist few numerical methods which treat the inverse problem for the determination of the geometry of wind turbine blades. In this work, authors intend to solve the inverse optimum project for horizontal axis wind turbine in which the selection of the circulation distribution is obtained by resolving two variational problems: the first consists in sorting the circulation distribution on the lifting line, which, for a given power extracted by the wind turbine, minimizes the loses due to the induced velocity. In the second, the optimal circulation distribution is selected such that the kinetic energy of the wind downstream of the rotor disc is minimum, when the energy extracted by the wind turbine for one rotating period is imposed. A code has been developed which incorporates the real pitch of the helicoidal vortex wake. Very promising results have been obtained: the circulation distribution for a given extracted power and the chord lengths distribution law along the blade span.
ISSN:1023-621X
1542-3034