Analysis of Mode and Dynamic Stability for Wind Turbine Rotating Blades

Jian-Ping Zhang; Zhen Gong; Liang Guo; Helen Wu

doi:10.1115/1.4039717

Journal of Offshore Mechanics and Arctic Engineering | Volume 140 | Issue 5 | research-article

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Research Papers: Ocean Renewable Energy

Analysis of Mode and Dynamic Stability for Wind Turbine Rotating Blades

Jian-Ping Zhang, Zhen Gong, Liang Guo and Helen Wu

[+] Author and Article Information

Jian-Ping Zhang

College of Energy and Mechanical Engineering,
Shanghai University of Electric Power,
Shanghai 200090, China;Shanghai Key Laboratory of Materials Protection
and Advanced Materials in Electric Power,
Shanghai 200090, China
e-mail: jpzhanglzu@163.com

Zhen Gong

College of Energy and Mechanical Engineering,
Shanghai University of Electric Power,
Shanghai 200090, China
e-mail: 13696766267@163.com

Liang Guo

College of Energy and Mechanical Engineering,
Shanghai University of Electric Power,
Shanghai 200090, China
e-mail: guozai.1989@163.com

Helen Wu

School of Computing, Engineering and
Mathematics,
Western Sydney University,
Sydney 2751, Australia
e-mail: Helen.Wu@westernsydney.edu.au

¹Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received June 22, 2017; final manuscript received March 8, 2018; published online May 2, 2018. Assoc. Editor: Zhen Gao.

J. Offshore Mech. Arct. Eng 140(5), 051902 (May 02, 2018) (10 pages) Paper No: OMAE-17-1093; doi: 10.1115/1.4039717 History: Received June 22, 2017; Revised March 08, 2018

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Abstract

For large-scale offshore wind turbine rotating blades (NREL 5MW), the theoretical model of vibration due to fluid-structure interaction (FSI) is established, and the basic equations for modal analysis are given. Based on ANSYS workbench platform, the blade modal characteristics at different rotating speeds are analyzed, and further research on dynamic stability is carried out. The results indicate that the FSI and the blade rotation have a great influence on modal frequencies, which increase with the rotating speed of the blade under FSI. When the frequency of the periodic wind speed is close to the first-order natural frequency of the blade, both the maximum flapping displacement and the maximum von Mises stress increase with time, and the vibration divergence appears. At the safe tower clearance of 4.50 m, the critical value of the blade maximum von Mises stress shows a linear upward trend with the increase of the elasticity modulus, which provides technical references for optimization design and safe operation of wind turbine blades.

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References

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Qin, Y. , Liu, Q. K. , Li, L. , and L, Y. H. , 2013, “ Analysis of the Dynamic Response and Stability for Non-Linear Lead-Lag Vibrations of Wind Turbine Blades,” Chin. Q. Mech., 34(1), pp. 41–48 (in Chinese).

Chaviaropoulos, P. K. , 1999, “ Flap/Lead–Lag Aeroelastic Stability of Wind Turbine Blade Sections,” Wind Energy, 2(2), pp. 99–112. [CrossRef]

Chaviaropoulos, P. K. , Soerensen, N. N. , and Hansen, M. O. L. , 2003, “ Viscous and Aeroelastic Effects on Wind Turbine Blades. The Viscel Project—Part II: Aeroelastic Stability Investigations,” Wind Energy, 6(4), pp. 387–403. [CrossRef]

Wang, Q. , Chen, J. , Li, S. L. , and Guo, X. F. , 2013, “ Study on Dynamic Aeroelastic Stability for a MW-Size Wind Turbine Blade Section,” J. Mach. Des., 30(10), pp. 5–10 (in Chinese).

Leung, A. Y. T. , 2010, “ Dynamics and Buckling of Thin Pre-Twisted Beams Under Axial Load and Torque,” Int. J. Struct. Stab. Dyn., 10(5), pp. 957–981. [CrossRef]

Calabretta, A. , Colella, M. M. , Greco, L. , and Gennaretti, M. , 2016, “ Assessment of a Comprehensive Aeroelastic Tool for Horizontal-Axis Wind Turbine Rotor Analysis,” Wind Energy, 19(12), pp. 2301–2319. [CrossRef]

Bae, Y. H. , and Kim, M. H. , 2014, “ Aero-Elastic-Control-Floater-Mooring Coupled Dynamic Analysis of Floating Offshore Wind Turbine in Maximum Operation and Survival Conditions,” ASME J. Offshore Mech. Arct. Eng., 136(2), p. 020902.

Raghav, V. , and Komerath, N. , 2015, “ Advance Ratio Effects on the Flow Structure and Unsteadiness of the Dynamic-Stall Vortex of a Rotating Blade in Steady Forward Flight,” Phys. Fluids, 27(2), p. 027101. [CrossRef]

Kwon, S. , Chung, J. , and Yoo, H. H. , 2013, “ Structural Dynamic Modeling and Stability of a Rotating Blade Under Gravitational Force,” J. Sound Vib., 332(11), pp. 2688–2700. [CrossRef]

Babu, A. A. , and Vasudevan, R. , 2016, “ Dynamic Instability Analysis of Rotating Delaminated Tapered Composite Plates Subjected to Periodic In-Plane Loading,” Arch. Appl. Mech., 86(12), pp. 1965–1986. [CrossRef]

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Zhang, J. P. , Guo, L. , Wu, H. L. , Zhou, A. X. , Hu, D. M. , and Ren, J. X. , 2014, “ The Influence of Wind Shear on Vibration of Geometrically Nonlinear Wind Turbine Blade Under Fluid-Structure Interaction,” Ocean Eng., 84, pp. 14–19. [CrossRef]

SPC, 2010, “ Wind Turbine Generator System-Rotor Blades,” National Standards of the People's Republic of China, Beijing, China, Standard No. GB/T 25383-2010.

Figures

Fig. 1

Solid model and mesh generation of the blade

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Fig. 2

Flowchart of the numerical calculation under FSI

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Fig. 3

Scaled model of NREL 5 MW wind turbine blade

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Fig. 4

The distribution mode of strain gauges

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Fig. 5

The blade installation in the test section of wind tunnel

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Fig. 6

Comparison of the first principal stress along the wingspan at 20 m/s

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Fig. 7

The first-order modal frequency with different rotating speeds

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Fig. 8

The tenth-order modal frequency with different rotating speeds

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Fig. 9

Blade mode shapes of the first ten orders under the rated condition: (a) the first-order, (b) the third-order, (c) the fifth-order, and (d) the tenth-order

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Fig. 10

The first-order modal frequency varying with rotating speed

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Fig. 11

Response curves of maximum displacement and von Mises stress under periodic wind speed: (a) displacement response under condition I, (b) von Mises stress response under condition I, (c) displacement response under condition III, (d) von Mises stress response under condition III, (e) displacement response under condition V, (f) von Mises stress response under condition V, (g) displacement response under condition VI, (h) von Mises stress response under condition VI, (i) displacement response under condition VII, and (j) von Mises stress response under condition VII

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Fig. 12

(a) Maximum displacement and (b) maximum von Mises stress under different operating conditions

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Fig. 13

Response curves at the elastic modulus of 27.6 GPa: (a) maximum displacement and (b) maximum von Mises stress

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Fig. 14

Variation curves of the critical value of maximum von Mises stress with elastic modulus

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Zhang J, Gong Z, Guo L, Wu H. Analysis of Mode and Dynamic Stability for Wind Turbine Rotating Blades. ASME. J. Offshore Mech. Arct. Eng. 2018;140(5):051902-051902-10. doi:10.1115/1.4039717.

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Analysis of Mode and Dynamic Stability for Wind Turbine Rotating Blades

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