178
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Firefly Algorithm with non-homogeneous population: A case study in economic load dispatch problem

, &
Pages 519-534 | Received 03 Dec 2018, Accepted 17 Nov 2019, Published online: 06 Feb 2020

References

  • Abdullah, M., Tawai, R., & Yousof, M. (2017). Comparison of constraints handling methods for economic load dispatch problem using particle swarm optimization algorithm. International Journal on Advanced Science, Engineering and Information Technology, 7(4), 1322–1327. doi:10.18517/ijaseit.7.4.3146
  • Amjady, N., & Sharifzadeh, H. (2010). Solution of non-convex economic dispatch problem considering valve loading effect by a new modified differential evolution algorithm. International Journal of Electrical Power & Energy Systems, 32(8), 893–903. doi:10.1016/j.ijepes.2010.01.023
  • Andrei, N. (2008). An unconstrained optimization test functions collection. Advanced Modeling Optimization, 10(1), 147–161.
  • Aragón, V. S., Esquivel, S. C., & Coello, C. C. (2015). An immune algorithm with power redistribution for solving economic dispatch problems. Information Sciences, 295, 609–632. doi:10.1016/j.ins.2014.10.026
  • Chalermchaiarbha, S., & Ongsakul, W. (2013). Stochastic weight trade-off particle swarm optimization for nonconvex economic dispatch. Energy Conversion and Management, 70, 66–75. doi:10.1016/j.enconman.2013.02.009
  • Chaturvedi, K. T., Pandit, M., & Srivastava, L. (2008). Self-organizing hierarchical particle swarm optimization for nonconvex economic dispatch. IEEE Transactions on Power Systems, 23(3), 1079–1087. doi:10.1109/TPWRS.2008.926455
  • Cheung, N. J., Ding, X.-M., & Shen, H.-B. (2014). Adaptive Firefly Algorithm: Parameter analysis and its application. PloS One, 9(11), e112634. doi:10.1371/journal.pone.0112634
  • Chiang, C.-L. (2005). Improved genetic algorithm for power economic dispatch of units with valve-point effects and multiple fuels. IEEE Transactions on Power Systems, 20(4), 1690–1699. doi:10.1109/TPWRS.2005.857924
  • Coelho, L., & Mariani, V. (2006a). Combining of chaotic differential evolution and quadratic programming for economic dispatch optimization with valve-point effect. IEEE Transactions on Power Systems, 21(2), 989–996. doi:10.1109/TPWRS.2006.873410
  • Coelho, L., & Mariani, V. (2006b). Erratum correlation to combining of chaotic differential evolution and quadratic programming for economic dispatch optimization with valve point effect. IEEE Transactions on Power Systems, 21(3), 1465. doi:10.1109/TPWRS.2006.873410
  • Coelho, L., & Mariani, V. (2009). An improved harmony search algorithm for power economic load dispatch. Energy Conversion and Management, 50 (10), 2522–2526. doi:10.1016/j.enconman.2009.05.034
  • Conover, W. (1998). Practical nonparametric statistics. New York: Wiley.
  • Dieterich, J. M., & Hartke, B. (2012). Empirical review of standard benchmark functions using evolutionary global optimization. arXiv preprint arXiv:1207.4318.
  • Fletcher, R. (1987). Practical optimization methods. Chichester: Wiley.
  • Gaing, Z.-L. (2003). Particle swarm optimization to solving the economic dispatch considering the generator constraints. IEEE Transactions on Power Systems, 18(3), 1187–1195. doi:10.1109/TPWRS.2003.814889
  • Gandomi, A., Yang, X.-S., Talatahari, S., & Alavi, A. (2013). Firefly Algorithm with chaos. Communications in Nonlinear Science and Numerical Simulation, 18(1), 89–98. doi:10.1016/j.cnsns.2012.06.009
  • Gholamghasemi, M., Akbari, E., Asadpoor, M. B., & Ghasemi, M. (2019). A new solution to the non-convex economic load dispatch problems using phasor particle swarm optimization. Applied Soft Computing, 79, 111–124. doi:10.1016/j.asoc.2019.03.038
  • Hansen, N., Finck, S., Ros, R., & Auger, A. (2009). Real-parameter black-box optimization benchmarking 2009: Noiseless functions definitions (Unpublished doctoral dissertation). INRIA.
  • Hemamalini, S., & Simon, S. P. (2010). Artificial bee colony algorithm for economic load dispatch problem with non-smooth cost functions. Electric Power Components and Systems, 38(7), 786–803. doi:10.1080/15325000903489710
  • Hosseinnezhad, V., Rafiee, M., Ahmadian, M., & Ameli, M. T. (2014). Species-based quantum particle swarm optimization for economic load dispatch. International Journal of Electrical Power & Energy Systems, 63, 311–322. doi:10.1016/j.ijepes.2014.05.066
  • Jamil, M., & Yang, X.-S. (2013). A literature survey of benchmark functions for global optimisation problems. International Journal of Mathematical Modelling and Numerical Optimisation, 4(2), 150–194. doi:10.1504/IJMMNO.2013.055204
  • Kuo, C.-C. (2008). A novel coding scheme for practical economic dispatch by modified particle swarm approach. IEEE Transactions on Power Systems, 23(4), 1825–1835. doi:10.1109/TPWRS.2008.2002297
  • Neyestani, M., Farsangi, M. M., & Nezamabadi-Pour, H. (2010). A modified particle swarm optimization for economic dispatch with non-smooth cost functions. Engineering Applications of Artificial Intelligence, 23(7), 1121–1126. doi:10.1016/j.engappai.2010.06.006
  • Panigrahi, B., & Pandi, V. R. (2008). Bacterial foraging optimisation: Nelder–mead hybrid algorithm for economic load dispatch. IET Generation, Transmission & Distribution, 2(4), 556–565. doi:10.1049/iet-gtd:20070422
  • Panigrahi, B., Pandi, V. R., & Das, S. (2008). Adaptive particle swarm optimization approach for static and dynamic economic load dispatch. Energy Conversion and Management, 49(6), 1407–1415. doi:10.1016/j.enconman.2007.12.023
  • Panigrahi, B., Yadav, S. R., Agrawal, S., & Tiwari, M. (2007). A clonal algorithm to solve economic load dispatch. Electric Power Systems Research, 77(10), 1381–1389. doi:10.1016/j.epsr.2006.10.007
  • Park, J.-B., Jeong, Y.-W., Shin, J.-R., & Lee, K. Y. (2010). An improved particle swarm optimization for nonconvex economic dispatch problems. IEEE Transactions on Power Systems, 25(1), 156–166. doi:10.1109/TPWRS.2009.2030293
  • Pohlheim, H. (2006). GEATbx Examples - Examples of objective functions. Genetic and Evolutionary Algorithm Toolbox for Matlab Documentation. http://www.geatbx.com/download/GEATbx_ObjFunExpl_v38.pdf
  • Pothiya, S., Ngamroo, I., & Kongprawechnon, W. (2008). Application of multiple tabu search algorithm to solve dynamic economic dispatch considering generator constraints. Energy Conversion and Management, 49(4), 506–516. doi:10.1016/j.enconman.2007.08.012
  • Qin, Q., Cheng, S., Chu, X., Lei, X., & Shi, Y. (2017). Solving non-convex/non-smooth economic load dispatch problems via an enhanced particle swarm optimization. Applied Soft Computing, 59, 229–242. doi:10.1016/j.asoc.2017.05.034
  • Rajagopalan, A., Sengoden, V., & Govindasamy, R. (2015). Solving economic load dispatch problems using chaotic self-adaptive differential harmony search algorithm. International Transactions on Electrical Energy Systems, 25(5), 845–858. doi:10.1002/etep.1877
  • Saadat, H. (1999). Power system analysis. Boston, Mass., US: McGraw-Hill.
  • Sharma, B., Prakash, R., Tiwari, S., & Mishra, K. K. (2017). A variant of environmental adaptation method with real parameter encoding and its application in economic load dispatch problem. Applied Intelligence, 47(2), 409–429. doi:10.1007/s10489-017-0900-9
  • Sinha, N., Chakrabarti, R., & Chattopadhyay, P. (2003). Evolutionary programming techniques for economic load dispatch. IEEE Transactions on Evolutionary Computation, 7(1), 83–94. doi:10.1109/TEVC.2002.806788
  • Sorensen, K., Sevaux, M., & Glover, F. (2017). A history of metaheuristics. arXiv Preprint arXiv:1704.00853.
  • Sulaiman, M. H., Mustafa, M. W., Zakaria, Z. N., Aliman, O., & Rahim, S. A. (2012). Firefly Algorithm technique for solving economic dispatch problem. Power Engineering and Optimization Conference (PEDCO) Melaka, Malaysia, 2012 IEEE International, pp. 90–95.
  • Sun, J., Palade, V., Wu, X.-J., Fang, W., & Wang, Z. (2014). Solving the power economic dispatch problem with generator constraints by random drift particle swarm optimization. IEEE Transactions on Industrial Informatics, 10(1), 222–232. doi:10.1109/TII.2013.2267392
  • Talbi, E.-G. (2009). Metaheuristics: From design to implementation (Vol. 74). Hoboken, New Jersey, US: Wiley.
  • Vanaret, C., Gotteland, J.-B., Durand, N., & Alliot, J.-M. (2014). Certified global minima for a benchmark of difficult optimization problems. Working Paper. https://hal-enac.archives-ouvertes.fr/hal-00996713.
  • Victoire, T., & Jeyakumar, A. (2004). Hybrid pso-sqp for economic dispatch with valve-point effect. Electric Power Systems Research, 71(1), 51–59. doi:10.1016/j.epsr.2003.12.017
  • Wang, H., Wang, W., Sun, H., & Rahnamayan, S. (2016). Firefly Algorithm with random attraction. International Journal of Bio-Inspired Computation, 8(1), 33–41. doi:10.1504/IJBIC.2016.074630
  • Wang, S.-K., Chiou, J.-P., & Liu, C.-W. (2007). Nonsmooth/non-convex economic dispatch by a novel hybrid differential evolution algorithm. IET Generation, Transmission & Distribution, 1(5), 793–803. doi:10.1049/iet-gtd:20070183
  • Wolpert, D. H., & Macready, W. G. (1997). No free lunch theorems for optimization. IEEE Transactions on Evolutionary Computation, 1(1), 67–82. doi:10.1109/4235.585893
  • Wood, A. J., Wollenberg, B. F., & Sheblé, G. B. (2014). Power generation, operation, and control (Third Edition). Hoboken, New Jersey, US: Wiley.
  • Xiong, G., Shi, D., & Duan, X. (2013). Multi-strategy ensemble biogeography-based optimization for economic dispatch problems. Applied Energy, 111, 801–811. doi:10.1016/j.apenergy.2013.04.095
  • Yang, X.-S. (2009). Firefly Algorithms for multimodal optimization. International Symposium on Stochastic Algorithms (pp. 169–178).
  • Yang, X.-S. (2012). Efficiency analysis of swarm intelligence and randomization techniques. Journal of Computational and Theoretical Nanoscience, 9(2), 189–198. doi:10.1166/jctn.2012.2012
  • Yang, X.-S. (2012b). Swarm-based metaheuristic algorithms and no-free-lunch theorems. In R. Parpinelli & H. S. Lopes (Eds.), Theory and New Applications of Swarm Intelligence (Chapter 1, pp. 1–16). Rijeka, Croatia: InTech.
  • Yang, X.-S. (2014). Cuckoo search and Firefly Algorithm: Overview and analysis. In X.-S. Yang (Ed.), Cuckoo search and Firefly Algorithm (pp. 1–26). Cham, Switzerland: Springer.
  • Yang, X.-S., Hosseini, S. S. S., & Gandomi, A. H. (2012). Firefly Algorithm for solving non-convex economic dispatch problems with valve loading effect. Applied Soft Computing, 12(3), 1180–1186. doi:10.1016/j.asoc.2011.09.017
  • Zhang, J., & Dong, Z. (2019). A general intelligent optimization algorithm combination framework with application in economic load dispatch problems. Energies, 12(11-2175), 1–22. doi:10.3390/en12112175
  • Zhang, Q., Zou, D., Duan, N., & Shen, X. (2019). An adaptive differential evolutionary algorithm incorporating multiple mutation strategies for the economic load dispatch problem. Applied Soft Computing Journal, 78, 641–669. doi:10.1016/j.asoc.2019.03.019

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.