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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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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author Ali Helali
Badreddine Kamoun
David Afungchui
Mohamed Jomaa Safi
author_facet Ali Helali
Badreddine Kamoun
David Afungchui
Mohamed Jomaa Safi
author_sort Ali Helali
collection DOAJ
description 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.
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institution Kabale University
issn 1023-621X
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language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series International Journal of Rotating Machinery
spelling doaj-art-05f79c8434734af2a3bffbb615a4478c2025-02-03T06:08:04ZengWileyInternational Journal of Rotating Machinery1023-621X1542-30342012-01-01201210.1155/2012/476908476908The Circulation Distribution on the Lifting Line for a Given Extracted PowerAli Helali0Badreddine Kamoun1David Afungchui2Mohamed Jomaa Safi3Research Unit of Mechanics and Energetic (URME), National Engineering School of Tunis, 1002 Tunis, TunisiaLaboratory of Applied Physics (LPA), Faculty of Sciences of Sfax, 3038 Sfax, TunisiaDepartment of Physics, Faculty of Sciences, University of Buea, Buea, CameroonResearch Unit of Mechanics and Energetic (URME), National Engineering School of Tunis, 1002 Tunis, TunisiaPresently, 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.http://dx.doi.org/10.1155/2012/476908
spellingShingle Ali Helali
Badreddine Kamoun
David Afungchui
Mohamed Jomaa Safi
The Circulation Distribution on the Lifting Line for a Given Extracted Power
International Journal of Rotating Machinery
title The Circulation Distribution on the Lifting Line for a Given Extracted Power
title_full The Circulation Distribution on the Lifting Line for a Given Extracted Power
title_fullStr The Circulation Distribution on the Lifting Line for a Given Extracted Power
title_full_unstemmed The Circulation Distribution on the Lifting Line for a Given Extracted Power
title_short The Circulation Distribution on the Lifting Line for a Given Extracted Power
title_sort circulation distribution on the lifting line for a given extracted power
url http://dx.doi.org/10.1155/2012/476908
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