A method for preliminary rotor design – Part 2: Wind turbine Optimization with Radial Independence

Loenbaek, Kenneth; Bak, Christian; McWilliam, Michael

doi:https://doi.org/10.5194/wes-6-917-2021

Articles | Volume 6, issue 3

https://doi.org/10.5194/wes-6-917-2021

© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/wes-6-917-2021

© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 6, issue 3

Research article

|

10 Jun 2021

Research article |

| 10 Jun 2021

A method for preliminary rotor design – Part 2: Wind turbine Optimization with Radial Independence

Kenneth Loenbaek, Christian Bak, and Michael McWilliam

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Final revised paper (published on 10 Jun 2021)
Preprint (discussion started on 06 Oct 2020)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

RC1: 'wes-2020-99 - A Method for Preliminary Rotor Design – Part 2: Wind Turbine Rotor Optimization with Radial Independence - referee comment', Anonymous Referee #1, 03 Nov 2020
- AC1: 'Reply on RC1', Kenneth Loenbaek, 09 Mar 2021
RC2: 'A Method for Preliminary Rotor Design- Part 2: Wind Turbine Rotor Optimization with Radial', Anonymous Referee #2, 23 Nov 2020
- AC2: 'Reply on RC2', Kenneth Loenbaek, 09 Mar 2021
EC1: 'Comment on wes-2020-99', Alessandro Bianchini, 02 Feb 2021
EC2: 'Comment on wes-2020-99', Alessandro Bianchini, 09 Mar 2021

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

AR by Kenneth Loenbaek on behalf of the Authors (09 Mar 2021) Author's response Author's tracked changes Manuscript

ED: Referee Nomination & Report Request started (10 Mar 2021) by Alessandro Bianchini

RR by Anonymous Referee #1 (12 Mar 2021)

RR by Peter Jamieson (14 Mar 2021)

ED: Publish as is (15 Mar 2021) by Alessandro Bianchini

ED: Publish as is (16 Mar 2021) by Joachim Peinke (Chief editor)

AR by Kenneth Loenbaek on behalf of the Authors (18 Mar 2021)

Short summary

A novel wind turbine rotor optimization methodology is presented. Using an assumption of radial independence it is possible to obtain the Pareto-optimal relationship between power and loads through the use of KKT multipliers, leaving an optimization problem that can be solved at each radial station independently. Combining it with a simple cost function it is possible to analytically solve for the optimal power per cost with given inputs for the aerodynamics and the cost function.