An Initial Study of Multimodality in Wind Farm Layout Optimization Problems

Benjamin Allen; Lewis Cameron; Tom R O Wainwright; Daniel J Poole

doi:10.2514/6.2022-1919

An Initial Study of Multimodality in Wind Farm Layout Optimization Problems

Benjamin Allen, Lewis Cameron, Tom R O Wainwright, Daniel J Poole^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

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Abstract

A study into the phenomena of multimodality in wind farm layout optimisation problems is presented. Little previous work has studied multimodality so this work aims to begin providing quantifiable results on multimodality in farm layout optimisation. The problems of optimising the location of a four and nine turbine farm within a bound circular domain are considered. Multi-start gradient-based optimisation is used to determine optima present in each case. Clear multimodality was found in all cases tested. With increasing farm size, the number of optima present increases, however the difference in performance of those optima is small. Therefore, while multimodality is present, for large farms, the chance of locating a local minima that has a detrimental performance compared to the global optimum, is small.

Original language	English
Title of host publication	AIAA SciTech Forum 2022
Publisher	American Institute of Aeronautics and Astronautics Inc. (AIAA)
ISBN (Electronic)	9781624106316
DOIs	https://doi.org/10.2514/6.2022-1919
Publication status	Published - 7 Jan 2022
Event	2022 AIAA SciTech Forum - San Diego, United States Duration: 3 Jan 2022 → 7 Jan 2022

Conference

Conference	2022 AIAA SciTech Forum
Country/Territory	United States
City	San Diego
Period	3/01/22 → 7/01/22

Bibliographical note

Publisher Copyright:
© 2022, American Institute of Aeronautics and Astronautics Inc. All rights reserved.

Keywords

Sequential Quadratic Programming
Energy Production
Computational Fluid Dynamics
Wind TurbineHistograms
Numerical Optimization
Search Algorithm
Flow Conditions
Kinetic Energy
Freestream

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10.2514/6.2022-1919

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This is the accepted author manuscript (AAM). The final published version (version of record) is available online via American Institute of Aeronautics and Astronautics at https://doi.org/10.2514/6.2022-1919. Please refer to any applicable terms of use of the publisher.
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Cite this

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title = "An Initial Study of Multimodality in Wind Farm Layout Optimization Problems",

abstract = "A study into the phenomena of multimodality in wind farm layout optimisation problems is presented. Little previous work has studied multimodality so this work aims to begin providing quantifiable results on multimodality in farm layout optimisation. The problems of optimising the location of a four and nine turbine farm within a bound circular domain are considered. Multi-start gradient-based optimisation is used to determine optima present in each case. Clear multimodality was found in all cases tested. With increasing farm size, the number of optima present increases, however the difference in performance of those optima is small. Therefore, while multimodality is present, for large farms, the chance of locating a local minima that has a detrimental performance compared to the global optimum, is small.",

keywords = "Sequential Quadratic Programming, Energy Production, Computational Fluid Dynamics, Wind TurbineHistograms, Numerical Optimization, Search Algorithm, Flow Conditions, Kinetic Energy, Freestream",

author = "Benjamin Allen and Lewis Cameron and Wainwright, {Tom R O} and Poole, {Daniel J}",

note = "Publisher Copyright: {\textcopyright} 2022, American Institute of Aeronautics and Astronautics Inc. All rights reserved.; 2022 AIAA SciTech Forum ; Conference date: 03-01-2022 Through 07-01-2022",

year = "2022",

month = jan,

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doi = "10.2514/6.2022-1919",

language = "English",

booktitle = "AIAA SciTech Forum 2022",

publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",

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AU - Allen, Benjamin

AU - Cameron, Lewis

AU - Wainwright, Tom R O

AU - Poole, Daniel J

PY - 2022/1/7

Y1 - 2022/1/7

N2 - A study into the phenomena of multimodality in wind farm layout optimisation problems is presented. Little previous work has studied multimodality so this work aims to begin providing quantifiable results on multimodality in farm layout optimisation. The problems of optimising the location of a four and nine turbine farm within a bound circular domain are considered. Multi-start gradient-based optimisation is used to determine optima present in each case. Clear multimodality was found in all cases tested. With increasing farm size, the number of optima present increases, however the difference in performance of those optima is small. Therefore, while multimodality is present, for large farms, the chance of locating a local minima that has a detrimental performance compared to the global optimum, is small.

AB - A study into the phenomena of multimodality in wind farm layout optimisation problems is presented. Little previous work has studied multimodality so this work aims to begin providing quantifiable results on multimodality in farm layout optimisation. The problems of optimising the location of a four and nine turbine farm within a bound circular domain are considered. Multi-start gradient-based optimisation is used to determine optima present in each case. Clear multimodality was found in all cases tested. With increasing farm size, the number of optima present increases, however the difference in performance of those optima is small. Therefore, while multimodality is present, for large farms, the chance of locating a local minima that has a detrimental performance compared to the global optimum, is small.

KW - Sequential Quadratic Programming

KW - Energy Production

KW - Computational Fluid Dynamics

KW - Wind TurbineHistograms

KW - Numerical Optimization

KW - Search Algorithm

KW - Flow Conditions

KW - Kinetic Energy

KW - Freestream

U2 - 10.2514/6.2022-1919

DO - 10.2514/6.2022-1919

M3 - Conference Contribution (Conference Proceeding)

BT - AIAA SciTech Forum 2022

PB - American Institute of Aeronautics and Astronautics Inc. (AIAA)

T2 - 2022 AIAA SciTech Forum

Y2 - 3 January 2022 through 7 January 2022

ER -

An Initial Study of Multimodality in Wind Farm Layout Optimization Problems

Abstract

Conference

Bibliographical note

Keywords

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Equipment

HPC (High Performance Computing) and HTC (High Throughput Computing) Facilities

Cite this