Non-Linear Aeroelastic Stability of Wind Turbines

Zili Zhang; Mahdi Teimouri Sichani; Jie  Li; Jianbing Chen; Søren R.K. Nielsen

doi:10.4028/www.scientific.net/KEM.569-570.531

Non-Linear Aeroelastic Stability of Wind Turbines

Zili Zhang, Mahdi Teimouri Sichani, Jie Li, Jianbing Chen, Søren R.K. Nielsen

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

4 Citations (Scopus)

Abstract

As wind turbines increase in magnitude without a proportional increase in stiffness, the risk of dynamic instability is believed to increase. Wind turbines are time dependent systems due to the coupling between degrees of freedom defined in the fixed and moving frames of reference, which may trigger off internal resonances. Further, the rotational speed of the rotor is not constant due to the stochastic turbulence, which may also influence the stability. In this paper, a robust measure of the dynamic stability of wind turbines is suggested, which takes the collective blade pitch control and non-linear aero-elasticity into consideration. The stability of the wind turbine is determined by the maximum Lyapunov exponent of the system, which is operated directly on the non-linear state vector differential equations. Numerical examples show that this approach is promising for stability identification of the non-linear wind turbine system.

Original language	English
Title of host publication	Damage Assesment of Strucure X : 10th International Conference on Damage Assessment of Structures (DAMAS 2013), July 8-10, 2013, Dublin, Ireland
Editors	Biswajit Basu
Number of pages	8
Volume	1
Place of Publication	Schweiz
Publisher	Trans Tech Publications Ltd.
Publication date	2013
Pages	531-538
Chapter	4
ISBN (Print)	978-3-03785-796-0
ISBN (Electronic)	978-3-03795-522-2
DOIs	https://doi.org/10.4028/www.scientific.net/KEM.569-570.531
Publication status	Published - 2013
Event	10th International Conference on Damage Assessment of Structures - Dublin, Ireland Duration: 8 Jul 2013 → 10 Jul 2013 Conference number: 10 https://www.damas2013.org/

Conference

Conference	10th International Conference on Damage Assessment of Structures
Number	10
Country/Territory	Ireland
City	Dublin
Period	08/07/2013 → 10/07/2013
Internet address	https://www.damas2013.org/

Series	Key Engineering Materials
Volume	569
ISSN	1013-9826

Keywords

Wind Turbine
Non-Linear Systems
Aeroelastic Stability
Lyapunov Exponent

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Zhang, Z., Sichani, M. T., Li, J., Chen, J., & Nielsen, S. R. K. (2013). Non-Linear Aeroelastic Stability of Wind Turbines. In B. Basu (Ed.), Damage Assesment of Strucure X: 10th International Conference on Damage Assessment of Structures (DAMAS 2013), July 8-10, 2013, Dublin, Ireland (Vol. 1, pp. 531-538). Trans Tech Publications Ltd.. https://doi.org/10.4028/www.scientific.net/KEM.569-570.531

Zhang, Zili ; Sichani, Mahdi Teimouri ; Li, Jie et al. / Non-Linear Aeroelastic Stability of Wind Turbines. Damage Assesment of Strucure X: 10th International Conference on Damage Assessment of Structures (DAMAS 2013), July 8-10, 2013, Dublin, Ireland. editor / Biswajit Basu. Vol. 1 Schweiz : Trans Tech Publications Ltd., 2013. pp. 531-538 (Key Engineering Materials, Vol. 569).

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title = "Non-Linear Aeroelastic Stability of Wind Turbines",

abstract = "As wind turbines increase in magnitude without a proportional increase in stiffness, the risk of dynamic instability is believed to increase. Wind turbines are time dependent systems due to the coupling between degrees of freedom defined in the fixed and moving frames of reference, which may trigger off internal resonances. Further, the rotational speed of the rotor is not constant due to the stochastic turbulence, which may also influence the stability. In this paper, a robust measure of the dynamic stability of wind turbines is suggested, which takes the collective blade pitch control and non-linear aero-elasticity into consideration. The stability of the wind turbine is determined by the maximum Lyapunov exponent of the system, which is operated directly on the non-linear state vector differential equations. Numerical examples show that this approach is promising for stability identification of the non-linear wind turbine system.",

keywords = "Wind Turbine, Non-Linear Systems, Aeroelastic Stability, Lyapunov Exponent, Wind Turbine, Non-Linear Systems, Aeroelastic Stability, Lyapunov Exponent",

author = "Zili Zhang and Sichani, {Mahdi Teimouri} and Jie Li and Jianbing Chen and Nielsen, {S{\o}ren R.K.}",

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Zhang, Z, Sichani, MT, Li, J, Chen, J & Nielsen, SRK 2013, Non-Linear Aeroelastic Stability of Wind Turbines. in B Basu (ed.), Damage Assesment of Strucure X: 10th International Conference on Damage Assessment of Structures (DAMAS 2013), July 8-10, 2013, Dublin, Ireland. vol. 1, Trans Tech Publications Ltd., Schweiz, Key Engineering Materials, vol. 569, pp. 531-538, 10th International Conference on Damage Assessment of Structures, Dublin, Ireland, 08/07/2013. https://doi.org/10.4028/www.scientific.net/KEM.569-570.531

Non-Linear Aeroelastic Stability of Wind Turbines. / Zhang, Zili; Sichani, Mahdi Teimouri; Li, Jie et al.
Damage Assesment of Strucure X: 10th International Conference on Damage Assessment of Structures (DAMAS 2013), July 8-10, 2013, Dublin, Ireland. ed. / Biswajit Basu. Vol. 1 Schweiz: Trans Tech Publications Ltd., 2013. p. 531-538 (Key Engineering Materials, Vol. 569).

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

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T1 - Non-Linear Aeroelastic Stability of Wind Turbines

AU - Zhang, Zili

AU - Sichani, Mahdi Teimouri

AU - Li, Jie

AU - Chen, Jianbing

AU - Nielsen, Søren R.K.

N1 - Conference code: 10

PY - 2013

Y1 - 2013

N2 - As wind turbines increase in magnitude without a proportional increase in stiffness, the risk of dynamic instability is believed to increase. Wind turbines are time dependent systems due to the coupling between degrees of freedom defined in the fixed and moving frames of reference, which may trigger off internal resonances. Further, the rotational speed of the rotor is not constant due to the stochastic turbulence, which may also influence the stability. In this paper, a robust measure of the dynamic stability of wind turbines is suggested, which takes the collective blade pitch control and non-linear aero-elasticity into consideration. The stability of the wind turbine is determined by the maximum Lyapunov exponent of the system, which is operated directly on the non-linear state vector differential equations. Numerical examples show that this approach is promising for stability identification of the non-linear wind turbine system.

AB - As wind turbines increase in magnitude without a proportional increase in stiffness, the risk of dynamic instability is believed to increase. Wind turbines are time dependent systems due to the coupling between degrees of freedom defined in the fixed and moving frames of reference, which may trigger off internal resonances. Further, the rotational speed of the rotor is not constant due to the stochastic turbulence, which may also influence the stability. In this paper, a robust measure of the dynamic stability of wind turbines is suggested, which takes the collective blade pitch control and non-linear aero-elasticity into consideration. The stability of the wind turbine is determined by the maximum Lyapunov exponent of the system, which is operated directly on the non-linear state vector differential equations. Numerical examples show that this approach is promising for stability identification of the non-linear wind turbine system.

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KW - Non-Linear Systems

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KW - Lyapunov Exponent

KW - Wind Turbine

KW - Non-Linear Systems

KW - Aeroelastic Stability

KW - Lyapunov Exponent

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VL - 1

T3 - Key Engineering Materials

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BT - Damage Assesment of Strucure X

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T2 - 10th International Conference on Damage Assessment of Structures

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ER -

Zhang Z, Sichani MT, Li J, Chen J, Nielsen SRK. Non-Linear Aeroelastic Stability of Wind Turbines. In Basu B, editor, Damage Assesment of Strucure X: 10th International Conference on Damage Assessment of Structures (DAMAS 2013), July 8-10, 2013, Dublin, Ireland. Vol. 1. Schweiz: Trans Tech Publications Ltd. 2013. p. 531-538. (Key Engineering Materials, Vol. 569). doi: 10.4028/www.scientific.net/KEM.569-570.531

Non-Linear Aeroelastic Stability of Wind Turbines

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