Development of new tip-loss corrections based on vortex theory and vortex methods

Emmanuel Simon Pierre Branlard; Mac Gaunaa

doi:10.1088/1742-6596/555/1/012012

Development of new tip-loss corrections based on vortex theory and vortex methods

Emmanuel Simon Pierre Branlard, Mac Gaunaa

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Abstract

A new analytical formulation of the tip-loss factor is established based on helical vortex lament solutions. The derived tip-loss factor can be applied to wind-turbines, propellers or other rotary wings. Similar numerical formulations are used to assess the influence of wake expansion on tip-losses. Theodorsen's theory is successfully applied for the first time to assess the wake expansion behind a wind turbine. The tip-loss corrections obtained are compared with the ones from Prandtl and Glauert and implemented within a new Blade Element Momentum(BEM) code. Wake expansion is seen to reduce tip-losses and have a greater influence than wake distortion.

Original language	English
Article number	012012
Book series	Journal of Physics: Conference Series (Online)
Volume	555
Number of pages	8
ISSN	1742-6596
DOIs	https://doi.org/10.1088/1742-6596/555/1/012012
Publication status	Published - 2014
Event	The science of Making Torque from Wind 2012: 4th scientific conference - Universität Oldenburg, Oldenburg, Germany Duration: 9 Oct 2012 → 11 Oct 2012 http://www.forwind.de/makingtorque/Home.html

Conference

Conference	The science of Making Torque from Wind 2012
Location	Universität Oldenburg
Country/Territory	Germany
City	Oldenburg
Period	09/10/2012 → 11/10/2012
Internet address	http://www.forwind.de/makingtorque/Home.html

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Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Published under licence by IOP Publishing Ltd

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title = "Development of new tip-loss corrections based on vortex theory and vortex methods",

abstract = "A new analytical formulation of the tip-loss factor is established based on helical vortex lament solutions. The derived tip-loss factor can be applied to wind-turbines, propellers or other rotary wings. Similar numerical formulations are used to assess the influence of wake expansion on tip-losses. Theodorsen's theory is successfully applied for the first time to assess the wake expansion behind a wind turbine. The tip-loss corrections obtained are compared with the ones from Prandtl and Glauert and implemented within a new Blade Element Momentum(BEM) code. Wake expansion is seen to reduce tip-losses and have a greater influence than wake distortion.",

author = "Branlard, {Emmanuel Simon Pierre} and Mac Gaunaa",

note = "Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Published under licence by IOP Publishing Ltd; The science of Making Torque from Wind 2012 : 4th scientific conference ; Conference date: 09-10-2012 Through 11-10-2012",

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AU - Gaunaa, Mac

N1 - Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Published under licence by IOP Publishing Ltd

PY - 2014

Y1 - 2014

N2 - A new analytical formulation of the tip-loss factor is established based on helical vortex lament solutions. The derived tip-loss factor can be applied to wind-turbines, propellers or other rotary wings. Similar numerical formulations are used to assess the influence of wake expansion on tip-losses. Theodorsen's theory is successfully applied for the first time to assess the wake expansion behind a wind turbine. The tip-loss corrections obtained are compared with the ones from Prandtl and Glauert and implemented within a new Blade Element Momentum(BEM) code. Wake expansion is seen to reduce tip-losses and have a greater influence than wake distortion.

AB - A new analytical formulation of the tip-loss factor is established based on helical vortex lament solutions. The derived tip-loss factor can be applied to wind-turbines, propellers or other rotary wings. Similar numerical formulations are used to assess the influence of wake expansion on tip-losses. Theodorsen's theory is successfully applied for the first time to assess the wake expansion behind a wind turbine. The tip-loss corrections obtained are compared with the ones from Prandtl and Glauert and implemented within a new Blade Element Momentum(BEM) code. Wake expansion is seen to reduce tip-losses and have a greater influence than wake distortion.

U2 - 10.1088/1742-6596/555/1/012012

DO - 10.1088/1742-6596/555/1/012012

M3 - Conference article

SN - 1742-6596

VL - 555

JO - Journal of Physics: Conference Series (Online)

JF - Journal of Physics: Conference Series (Online)

M1 - 012012

T2 - The science of Making Torque from Wind 2012

Y2 - 9 October 2012 through 11 October 2012

ER -

Development of new tip-loss corrections based on vortex theory and vortex methods

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