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A general frequency adaptive framework for damped response analysis of wind turbines

Sondipon Adhikari, S. Bhattacharya

Soil Dynamics and Earthquake Engineering, Volume: 143, Start page: 106605

Swansea University Author: Sondipon Adhikari

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DOI (Published version): 10.1016/j.soildyn.2021.106605

Abstract

Dynamic response analysis of wind turbine towers plays a pivotal role in their analysis, design, stability, performance and safety. Despite extensive research, the quantification of general dynamic response remains challenging due to an inherent lack of the ability to model and incorporate damping f...

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Published in: Soil Dynamics and Earthquake Engineering
ISSN: 0267-7261
Published: Elsevier BV 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa56232
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spelling 2021-03-02T12:46:49.9582175 v2 56232 2021-02-11 A general frequency adaptive framework for damped response analysis of wind turbines 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2021-02-11 FGSEN Dynamic response analysis of wind turbine towers plays a pivotal role in their analysis, design, stability, performance and safety. Despite extensive research, the quantification of general dynamic response remains challenging due to an inherent lack of the ability to model and incorporate damping from a physical standpoint. This paper develops a frequency adaptive framework for the analysis of the dynamic response of wind turbines under general harmonic forcing with a damped and flexible foundation. The proposed method is founded on an augmented dynamic stiffness formulation based on a Euler-Bernoulli beam-column with elastic end supports along with tip mass and rotary inertia arising from the nacelle of the wind turbine. The dynamic stiffness coefficients are derived from the complex-valued transcendental displacement function which is the exact solution of the governing partial differential equation with appropriate boundary conditions. The closed-form analytical expressions of the dynamic response derived in the paper are exact and valid for higher frequency ranges. The proposed approach avoids the classical modal analysis and consequently the ad-hoc use of the modal damping factors are not necessary. It is shown that the damping in the wind turbine dynamic analysis is completely captured by seven different physically-realistic damping factors. Numerical results shown in the paper quantify the distinctive nature of the impact of the different damping factors. The exact closed-form analytical expressions derived in the paper can be used for benchmarking related experimental and finite element studies and at the initial design/analysis stage. Journal Article Soil Dynamics and Earthquake Engineering 143 106605 Elsevier BV 0267-7261 Wind turbine, Dynamic response, Damping, Foundation stiffness, Harmonic excitation, Offshore 1 4 2021 2021-04-01 10.1016/j.soildyn.2021.106605 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2021-03-02T12:46:49.9582175 2021-02-11T11:02:18.3851040 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Sondipon Adhikari 1 S. Bhattacharya 2 56232__19356__9714571223344967a634cf7eb7451533.pdf 56232.pdf 2021-02-24T08:59:05.1201108 Output 1102414 application/pdf Accepted Manuscript true 2022-02-10T00:00:00.0000000 ©2021 All rights reserved. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND) true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title A general frequency adaptive framework for damped response analysis of wind turbines
spellingShingle A general frequency adaptive framework for damped response analysis of wind turbines
Sondipon Adhikari
title_short A general frequency adaptive framework for damped response analysis of wind turbines
title_full A general frequency adaptive framework for damped response analysis of wind turbines
title_fullStr A general frequency adaptive framework for damped response analysis of wind turbines
title_full_unstemmed A general frequency adaptive framework for damped response analysis of wind turbines
title_sort A general frequency adaptive framework for damped response analysis of wind turbines
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 Sondipon Adhikari
S. Bhattacharya
format Journal article
container_title Soil Dynamics and Earthquake Engineering
container_volume 143
container_start_page 106605
publishDate 2021
institution Swansea University
issn 0267-7261
doi_str_mv 10.1016/j.soildyn.2021.106605
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
active_str 0
description Dynamic response analysis of wind turbine towers plays a pivotal role in their analysis, design, stability, performance and safety. Despite extensive research, the quantification of general dynamic response remains challenging due to an inherent lack of the ability to model and incorporate damping from a physical standpoint. This paper develops a frequency adaptive framework for the analysis of the dynamic response of wind turbines under general harmonic forcing with a damped and flexible foundation. The proposed method is founded on an augmented dynamic stiffness formulation based on a Euler-Bernoulli beam-column with elastic end supports along with tip mass and rotary inertia arising from the nacelle of the wind turbine. The dynamic stiffness coefficients are derived from the complex-valued transcendental displacement function which is the exact solution of the governing partial differential equation with appropriate boundary conditions. The closed-form analytical expressions of the dynamic response derived in the paper are exact and valid for higher frequency ranges. The proposed approach avoids the classical modal analysis and consequently the ad-hoc use of the modal damping factors are not necessary. It is shown that the damping in the wind turbine dynamic analysis is completely captured by seven different physically-realistic damping factors. Numerical results shown in the paper quantify the distinctive nature of the impact of the different damping factors. The exact closed-form analytical expressions derived in the paper can be used for benchmarking related experimental and finite element studies and at the initial design/analysis stage.
published_date 2021-04-01T04:11:02Z
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