Abstract
The challenge of wind turbine blade design is to balance the conflict between high capacity and heavy system loads introduced by the large scale rotor. To solve this problem, we present a multi-objective optimization method to maximize the Annual energy production (AEP) and minimize the blade mass. The well-known Blade element momentum (BEM) theory is employed to predict the aerodynamic performance and AEP of the blade. The blade is simplified as a thin Bernoulli beam. The cross section is modelled as a combination of composite layer, shear webs and spar caps typically. The strain of every cross section has been considered as a constraint to minimize the spar cap thickness for minimizing the blade mass. An improved genetic algorithm (NSGA-II) is applied to obtain the Pareto front set. Several solutions of the Pareto set are selected to compare with the reference blade (NREL 5MW blade). Performance of the rotors on design condition is simulated by STAR-CCM+ to verify the results of BEM theory. Optimal results show that the present blade, which is fully superior to the reference blade, can be selected from the Pareto set. The optimization design method can provide a superior blade with an increase by 2.48% of AEP and a reduction by 5.52% of the blade mass. It indicates the present optimization method is effective. Results of numerical simulations show that the spanwise flow would be increased obviously in tip region of the reference blade. The reason is that chord length variation in blade tip affects the flow and causes minor stall. The abrupt change of chord distribution in blade tip should be avoided to reduce the spanwise flow in initial blade design.
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References
B. Tony, Wind energy handbook, 2nd Ed., Wiley, New York, USA (2011).
C. Li, Z. Ye, W. G. Wei and Z. Jiang, Modern large-scale wind turbine design principe, Shanghai Scientific & Technology Publishers, Shanghai, China (2012).
M. S. Selig and L, Victoria, Application of a genetic algorithm to wind turbine design, J. of Energy Resources Technology, 118 (1) (1996) 22–28.
P. Fuglsang and A. Madsen, Optimization method for wind turbine rotors, J. of Wind Engineering and Industrial Aerodynamics, 80 (1) (1999) 191–206.
K. Jureczko, M. Pawlak and A. Mężyk, Optimisation of wind turbine blades, J. of Materials Processing Technology, 167 (2) (2005) 463–471.
X. D. Wang, W. Z. Shen, W. J. Zhu and J. Chen, Shape optimization of wind turbine blades, Wind Energy, 12 (8) (2009) 781–803.
G. Kenway and A. Martins, Aerostructural shape optimization of wind turbine blades considering site-specific winds, Proceedings of the 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Victoria, British Columbia, Canada (2008) 10–22.
J. Jeong, K. Park, S. Jun and D. H. Lee, Design optimization of a wind turbine blade to reduce the fluctuating unsteady aerodynamic load in turbulent wind, JMST, 26 (3) (2012) 827–838.
C. X. Yang, X. Lv, G. Tong and X. C. Song, Aerodynamic optimization design and calculation of a 2MW horizontal axial wind turbine rotor based on blade theory and particle swarm optimization, 2011 Power and Energy Engineering Conference of Asia-Pacific, Wuhan, Hebei, China (2011) 1–4.
W. Liu, W. Lin and X. Z. Tang, Optimized linearization of chord and twist angle profiles for fixed-pitch fixedspeed wind turbine blades, Renewable Energy, 57 (9) (2013) 111–119.
S. Ahmad, M. Mirhosseini and Z. M. Moghimi, Aerodynamic design and economical evaluation of site specific horizontal axis wind turbine (HAWT), Energy Equipment and Systems, 2 (1) (2014) 43–56.
P. Giguere and M. S. Selig, Blade geometry optimization for the design of wind turbine rotors, Proceedings of AIAA/ASME Wind Energy Symposium, Nevada, USA (2000) 1–12.
E. Benini and T. Andrea, Optimal design of horizontalaxis wind turbines using blade-element theory and evolutionary computation, J. of Solar Energy Engineering, 124 (4) (2002) 357–363.
R. W. Vesel and J. J. McNamara, Performance enhancement and load reduction of a 5 MW wind turbine blade, Renewable Energy, 66 (6) (2014) 391–401.
R. Fischer, K. Timoleon and M. S. Anthony, Multiobjective optimisation of horizontal axis wind turbine structure and energy production using aerofoil and blade properties as design variables, Renewable Energy, 62 (2) (2014) 506–515.
M. Sessarego, K. R. Dixon, D. E. Rival and D. H Wood, A A hybrid multi-objective evolutionary algorithm for windturbine blade optimization, Engineering Optimization, 47 (8) (2014) 1–20.
X. Shen, J. G. Chen, X. C. Zhu, P. Y. Liu and Z. H. Du, Multi-objective optimization of wind turbine blades using lifting surface method, Energy, 90 (1) (2015) 1111–1121.
Q. Wang, J. Wang, J. Chen, S. Luo and J. F. Sun, Aerodynamic shape optimized design for wind turbine blade using new airfoil series, Journal of Mechanical Science and Technology, 29 (7) (2015) 2871–2882.
J. M. Jonkman, S. Butterfield, W. Musial and G. Scott, Definition of a 5-MW reference wind turbine for offshore system development, National Renewable Energy Laboratory, Colorado, USA (2009).
E. A. Bossanyi, GH Bladed user manual, Garrad Hassan and Partners Limited, Bristol, UK (2009).
J. Jonkman and B. Marshall, FAST user’s guide, National Renewable Energy Laboratory, Colorado, USA (2005).
M. O. Hansen, Aerodynamics of wind turbines, Routledge, New York, USA (2015).
D. M. Eggleston and S. Forrest, Wind turbine engineering design, Van Nostrand Reinhold, New York, USA (1987).
Z. H. Du and M. S. Selig, A 3-D stall-delay model for horizontal axis wind turbine performance prediction, Reno, Nevada, USA (1998).
L. A. Viterna and R. D. Corrigan, Fixed pitch rotor performance of large horizontal axis wind turbines, Proceedings of the DOE/NASA Workshop on Large Horizontal Axis Wind Turbine, Cleveland, USA (1982).
I. Troen and E. L. Petersen, European wind atlas, Risø National Laboratory, Roskilde, Denmark (1989).
D. T. Griffith and D. A. Thomas, The Sandia 100-meter all-glass baseline wind turbine blade: SNL100-00, Sandia National Laboratories, Livermore, California, USA (2011).
L. Librescu and S. Ohseop, Thin-walled composite beams: theory and application, Springer, Berlin, German (2006).
K. Deb, A. Pratap, S. Agarwal and T. Meyarivan, A A fast and elitist multiobjective genetic algorithm: NSGA-II, Evolutionary Computation, 6 (2) (2002) 182–197.
K. Deb and G. Tushar, Controlled elitist non-dominated sorting genetic algorithms for better convergence, Evolutionary Multi-Criterion Optimization, Springer Berlin, Berlin (2001).
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Recommended by Associate Editor Beomkeun Kim
Yang Yang is a Ph.D. candidate at the University of Shanghai for Science and Technology. His research area is wind turbine blade design.
Chun Li is currently a Professor at the University of Shanghai for Science and Technology. His research fields include the flow control of wind farms, stall of VAWT and aeroelasticity of wind turbines.
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Yang, Y., Li, C., Zhang, W. et al. A multi-objective optimization for HAWT blades design by considering structural strength. J Mech Sci Technol 30, 3693–3703 (2016). https://doi.org/10.1007/s12206-016-0731-3
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DOI: https://doi.org/10.1007/s12206-016-0731-3