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Improved non-dominated sorting genetic algorithm (NSGA)-II in multi-objective optimization studies of wind turbine blades

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Abstract

The non-dominated sorting genetic algorithm (NSGA) is improved with the controlled elitism and dynamic crowding distance. A novel multi-objective optimization algorithm is obtained for wind turbine blades. As an example, a 5 MW wind turbine blade design is presented by taking the maximum power coefficient and the minimum blade mass as the optimization objectives. The optimal results show that this algorithm has good performance in handling the multi-objective optimization of wind turbines, and it gives a Pareto-optimal solution set rather than the optimum solutions to the conventional multiobjective optimization problems. The wind turbine blade optimization method presented in this paper provides a new and general algorithm for the multi-objective optimization of wind turbines.

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References

  1. Wilson, R. E. and Lissaman, P. B. S. Applied Aerodynamics of Wind Power Machines, Report NSF/RA/N 7413, Oregon State University (1974)

  2. Selig, M. S. and Coverstone-Carroll, V. L. Application of a genetic algorithm to wind turbine design. Journal of Solar Energy Engineering, 118(1), 22–29 (1996)

    Google Scholar 

  3. Wood, D. H. Dual purpose design of small wind turbine blades. Wind Engineering, 28(5), 511–528 (2004)

    Article  Google Scholar 

  4. Sale, D., Jonkman, J., and Musial, W. Development of a hydrodynamic optimization tool for stall-regulated hydrokinetic turbine rotors. ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering, Honolulu, Hawaii, USA, 901–906 (2009)

  5. Roy, R., Hinduja, S., and Teti, R. Recent advances in engineering design optimisation: challenges and future trends. Manufacturing Technology, 57(2), 697–715 (2008)

    Google Scholar 

  6. Horn, J., Nafploitis, N., and Goldberg, D. E. A niched Pareto genetic algorithm for multiobjective optimization. Proceedings of the First IEEE Conference on Evolutionary Computation, IEEE Press, New Jersy, 82–87 (1994)

    Chapter  Google Scholar 

  7. Knowles, J. and Corne, D. The Pareto archived evolution strategy: a new baseline algorithm for multi-objective optimization. Proceedings of the 1999 Congress on Evolutionary Computation, IEEE Press, New Jersy, 98–105 (1999)

    Google Scholar 

  8. Kim, M., Hiroyasu, T., Miki, M., and Watanabe, S. SPEA2+: improving the performance of the strength Pareto evolutionary algorithm 2. Computer Science, 3242, 742–751 (2004)

    Google Scholar 

  9. Watanabe, S., Hiroyasu, T., and Miki, M. NCGA: neighborhood cultivation genetic algorithm for multi-objective optimization problems. Proceedings of the Genetic and Evolutionary Compution Conference (GECCO’2002), New York, USA, 458–465 (2002)

  10. Deb, K., Agrawal, S., Pratab, A., and Meyarivan, T. A fast elitist non-dominated sorting genetic algorithm for multi-objective: NSGA-II. Evolutionary Computation, 6(2), 182–197 (2002)

    Article  Google Scholar 

  11. Srinivas, N. and Deb, K. Multi-objective optimization using non-dominated sorting in genetic algorithms. Evolutionary Computation, 2(3), 221–248 (1994)

    Article  Google Scholar 

  12. Deb, K. and Agrawal, R. B. Simulated binary crossover for continuous search space. Complex Systems, 9, 115–148 (1995)

    MathSciNet  MATH  Google Scholar 

  13. Deb, K. and Goel, T. Controlled elitist non-dominated sorting genetic algorithms for better convergence. Computer Science, 1993/2001, 67–81 (2001)

    Google Scholar 

  14. Luo, B., Zheng, J. H., Xie, J. L., and Wu, J. Dynamic crowding distance — a new diversity maintenance strategy for MOEAs. Proceedings of the IEEE International Conference on Natural Computation, IEEE Press, New Jersy, 580–585 (2008)

    Chapter  Google Scholar 

  15. Par, J., Kima, J., Shina, Y., Leea, J., and Parka, J. 3 MW class offshore wind turbine development. Current Applied Physics, 10(2), 307–310 (2010)

    Article  Google Scholar 

  16. Griffin, D. A. and Zuteck, M. D. Scaling of composite wind turbine blades for rotors of 80 to 120 meter diameter. Journal of Solar Energy Engineering, 123(4), 310–319 (2001)

    Article  Google Scholar 

  17. Bossanyi, E. A. Wind turbine control for load reduction. Wind Energy, 6(2), 229–244 (2003)

    Article  Google Scholar 

  18. Dai, C. H., Tang, R. Y., and Wang, T. G. Prediction of aerodynamic performance of a horizontalaxis rotor in condition of wind shear. Proceedings of Asian and Pacific Wind Energy Conference, Brisbane, 266–278 (1988)

  19. Lindenburg, C. Aeroelastic Analysis of the LMH64-5 Blade Concept, Addison-Wesley, New York (2003)

    Google Scholar 

  20. Jonkman, J., Butterfield, S., Musial, W., and Scott, G. Definition of a 5-MW Reference Wind Turbine for Offshore System Development, NREL/TP-500-38060, National Renewable Energy Laboratory (2009)

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Correspondence to Long Wang  (王 珑).

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Communicated by Wen-rui HU

Project supported by the National Basic Research Program of China (973 Program) (No. 2007CB714600)

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Wang, L., Wang, Tg. & Luo, Y. Improved non-dominated sorting genetic algorithm (NSGA)-II in multi-objective optimization studies of wind turbine blades. Appl. Math. Mech.-Engl. Ed. 32, 739–748 (2011). https://doi.org/10.1007/s10483-011-1453-x

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  • DOI: https://doi.org/10.1007/s10483-011-1453-x

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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