An intuitive representation and analysis of multi‐rotor wind turbine whirling modes

Abstract A multi‐rotor wind turbine (MRWT) is a concept that can reduce the size of the rotor blades compared to a single‐rotor wind turbine (SRWT). Making a cost‐optimized MRWT requires a detailed understanding of its stability properties. This paper aims to establish a physical and intuitive repre...

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Main Authors: Oliver Tierdad Filsoof, Xuping Zhang
Format: Article
Language:English
Published: Wiley 2022-03-01
Series:Wind Energy
Subjects:
Online Access:https://doi.org/10.1002/we.2686
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author Oliver Tierdad Filsoof
Xuping Zhang
author_facet Oliver Tierdad Filsoof
Xuping Zhang
author_sort Oliver Tierdad Filsoof
collection DOAJ
description Abstract A multi‐rotor wind turbine (MRWT) is a concept that can reduce the size of the rotor blades compared to a single‐rotor wind turbine (SRWT). Making a cost‐optimized MRWT requires a detailed understanding of its stability properties. This paper aims to establish a physical and intuitive representation of whirling modes for three‐bladed isotropic SRWT and MRWT. An aeroelastic simulation of a nonlinear SRWT model is presented to empathize the importance of whirling. The whirling concept is introduced by simplifying the complexity of the wind turbine rotor into two models. From the models, edgewise and flapwise whirling modes are analyzed. An analytical model of a two‐rotor wind turbine is examined to present the edgewise whirling modes of MRWT. The flapwise whirling modes for MRWT are introduced by using results from edgewise whirling and findings from previous research. The MRWT whirling analysis shows whirling from multiple rotors creates reaction forces to the supporting structure when the rotors have the same speed. This results in whirling coupling modes at the same natural frequency. One is a rotor symmetric whirling mode where the rotors whirling are in phase and a rotor asymmetric mode where whirling of the rotors are out of phase. The whirling coupling effects are minimized in the case that the rotors have different speeds.
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spelling doaj.art-f9b8ca798774480f8d9827cf3291c1122022-12-22T01:11:36ZengWileyWind Energy1095-42441099-18242022-03-0125355357210.1002/we.2686An intuitive representation and analysis of multi‐rotor wind turbine whirling modesOliver Tierdad Filsoof0Xuping Zhang1Department of Engineering Aarhus University Aarhus DenmarkDepartment of Engineering Aarhus University Aarhus DenmarkAbstract A multi‐rotor wind turbine (MRWT) is a concept that can reduce the size of the rotor blades compared to a single‐rotor wind turbine (SRWT). Making a cost‐optimized MRWT requires a detailed understanding of its stability properties. This paper aims to establish a physical and intuitive representation of whirling modes for three‐bladed isotropic SRWT and MRWT. An aeroelastic simulation of a nonlinear SRWT model is presented to empathize the importance of whirling. The whirling concept is introduced by simplifying the complexity of the wind turbine rotor into two models. From the models, edgewise and flapwise whirling modes are analyzed. An analytical model of a two‐rotor wind turbine is examined to present the edgewise whirling modes of MRWT. The flapwise whirling modes for MRWT are introduced by using results from edgewise whirling and findings from previous research. The MRWT whirling analysis shows whirling from multiple rotors creates reaction forces to the supporting structure when the rotors have the same speed. This results in whirling coupling modes at the same natural frequency. One is a rotor symmetric whirling mode where the rotors whirling are in phase and a rotor asymmetric mode where whirling of the rotors are out of phase. The whirling coupling effects are minimized in the case that the rotors have different speeds.https://doi.org/10.1002/we.2686modal analysismulti‐rotor wind turbinewhirling
spellingShingle Oliver Tierdad Filsoof
Xuping Zhang
An intuitive representation and analysis of multi‐rotor wind turbine whirling modes
Wind Energy
modal analysis
multi‐rotor wind turbine
whirling
title An intuitive representation and analysis of multi‐rotor wind turbine whirling modes
title_full An intuitive representation and analysis of multi‐rotor wind turbine whirling modes
title_fullStr An intuitive representation and analysis of multi‐rotor wind turbine whirling modes
title_full_unstemmed An intuitive representation and analysis of multi‐rotor wind turbine whirling modes
title_short An intuitive representation and analysis of multi‐rotor wind turbine whirling modes
title_sort intuitive representation and analysis of multi rotor wind turbine whirling modes
topic modal analysis
multi‐rotor wind turbine
whirling
url https://doi.org/10.1002/we.2686
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