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A memetic-inspired harmony search method in optimal wind generator design

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Abstract

The harmony search (HS) method is an emerging meta-heuristic optimization algorithm inspired by the natural musical performance process, which has been extensively applied to handle numerous optimization problems during the past decade. However, it usually lacks of an efficient local search capability, and may sometimes suffer from weak convergence. In this paper, a memetic HS method, m-HS, with local search function is proposed and studied. The local search in the m-HS is based on the principle of bee foraging like strategy, and performs only at selected harmony memory members, which can significantly improve the efficiency of the overall search procedure. Compared with the original HS method and particle swarm optimization (PSO), our m-HS has been demonstrated in numerical simulations of 16 typical benchmark functions to yield a superior optimization performance. The m-HS is further successfully employed in the optimal design of a practical wind generator.

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References

  1. Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. Simulation 76(2):60–68

    Article  Google Scholar 

  2. Nahas N, Thien-My D (2010) Harmony search algorithm: application to the redundancy optimization problem. Eng Optim 42(9):845–861

    Article  Google Scholar 

  3. Gao XZ, Wang X, Ovaska SJ (2009) Uni-modal and multi-modal optimization using modified harmony search methods. Int J Innov Comput, Inf Control 5(10):2985–2996

    Google Scholar 

  4. Lee KS, Geem ZW (2004) A new structural optimization method based on the harmony search algorithm. Comput Struct 82(9–10):781–798

    Article  Google Scholar 

  5. Cheng YM, Li L, Lansivaara T, Chi SC, Sun YJ (2008) Minimization of factor of safety using different slip surface generation methods and an improved harmony search minimization algorithm. Eng Optim 40(2):95–115

    Article  Google Scholar 

  6. Geem ZW, Kim JH, Loganathan GV (2002) Harmony search optimization: application to pipe network design. Int J Model Simul 22(2):125–133

    Google Scholar 

  7. Lee KS, Geem ZW (2005) A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice. Comput Method Appl Mech Eng 194(36–38):3902–3922

    Article  MATH  Google Scholar 

  8. Poli R, Langdon WB (2002) Foundations of Genetic Programming. Springer-Verlag, Berlin

    MATH  Google Scholar 

  9. Storn R, Price K (1997) Differential evolution: a simple and efficient adaptive scheme for global optimization over continuous spaces. J Global Optim 11:341–359

    Article  MATH  MathSciNet  Google Scholar 

  10. Engelbrecht AP (2005) Fundamentals of Computational Swarm Intelligence. John Wiley & Sons Ltd, West Sussex

    Google Scholar 

  11. Geem ZW (2008) Novel derivative of harmony search algorithm for discrete design variables. Appl Math Comput 199(1):223–230

    Article  MATH  MathSciNet  Google Scholar 

  12. Omran MGH, Mahdavi M (2008) Global-best harmony search. Appl Math Comput 198(2):643–656

    Article  MATH  MathSciNet  Google Scholar 

  13. Pan Q-K, Suganthan PN, Liang JJ, Tasgetiren MF (2010) A local-best harmony search algorithm with dynamic subpopulations. Eng Optim 42(2):101–117

    Article  Google Scholar 

  14. Gao XZ, Wang X, Jokinen T, Ovaska SJ, Arkkio A, Zenger K (2012) A hybrid optimization method for wind generator design. Int J Innov Comput, Inf Control 8(6):4347–4373

    Google Scholar 

  15. Gao XZ, Wang X, Ovaska SJ, Zenger K (2012) A hybrid optimization method of harmony search and opposition-based learning. Eng Optim 44(8):895–914

    Article  Google Scholar 

  16. Gao XZ, Wang X, Jokinen T, Ovaska SJ, Arkkio A, Zenger K (2012) A hybrid PBIL-based harmony search method. Neural Comput Appl 21(5):1071–1083

    Article  Google Scholar 

  17. Neria F, Cottab C (2012) Memetic algorithms and memetic computing optimization: a literature review. Swarm Evol Comput 2:1–14

    Article  Google Scholar 

  18. D. T. Pham and M. Castellani (2009) “The bees algorithm: modelling foraging behaviour to solve continuous optimization problems”. In: proceedings of institution of mechanical engineers, Part C, vol. 223, pp 2919–2938

  19. Wu B, Qian C, Ni W, Fan S (2012) Hybrid harmony search and artificial bee colony algorithm for global optimization problems. Comput Math Appl 64(8):2621–2634

    Article  MATH  MathSciNet  Google Scholar 

  20. M. A. Al-Betar, A. T. Khader, and M. Zaman (2012) “University course timetabling using a hybrid harmony search metaheuristic algorithm”. In: IEEE Transactions on Systems, Man, and Cybernetics—Part C: Applications and reviews, vol. 42(5) pp 664–681

  21. Nguyen K, Nguyen P, Tran N (2012) A hybrid algorithm of harmony search and bees algorithm for a university course timetabling problem. Int J Comp Sci Issues 9(1):12–17

    MathSciNet  Google Scholar 

  22. Michalewicz Z (1996) Genetic Algorithms + Data Structures = Evolution Programs, 3rd edn. Springer-Verlag, Berlin

    MATH  Google Scholar 

  23. Ali MM, Khompatraporn C, Zabinsky ZB (2005) A numerical evaluation of several stochastic algorithms on selected continuous global optimization test problems. J Global Optim 31(4):635–672

    Article  MATH  MathSciNet  Google Scholar 

  24. Pyrhönen J, Jokinen T, Hrabovcová V (2008) Design of Rotating Electrical Machines. John Wiley & Sons Ltd, West Sussex

    Book  Google Scholar 

  25. Y. Shi and R. C. Eberhart, A modified particle swarm optimizer, in Proceedings of the 1998 IEEE Congress on Evolutionary Computation, Anchorage, AK, May 1998, pp. 69-73

  26. Wolpert DH, Macready WG (1997) No free lunch theorems for optimization. IEEE Trans Evol Comput 1(1):67–82

    Article  Google Scholar 

Download references

Acknowledgments

This research work was funded by the Academy of Finland under Grants 135225, 127299, and 137837 and Finnish Funding Agency for Technology and Innovation (TEKES). The authors would like to thank the anonymous reviewers for their insightful comments and constructive suggestions that have improved the paper.

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Correspondence to X. Z. Gao.

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Gao, X.Z., Wang, X. & Zenger, K. A memetic-inspired harmony search method in optimal wind generator design. Int. J. Mach. Learn. & Cyber. 6, 43–58 (2015). https://doi.org/10.1007/s13042-013-0190-4

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  • DOI: https://doi.org/10.1007/s13042-013-0190-4

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