Squirrel search algorithm for economic dispatch with valve-point effects and multiple fuels

References

• Abdullah, M. N., A. H. A. Bakar, and N. A. Rahim. 2013. Economic load dispatch with nonsmooth cost functions using evolutionary particle swarm optimization. IEEJ Transaction on Electrical & Electronic Engineering 8 (S1):S30–S37. doi:10.1002/tee.21915.
   Google Scholar
• Adarsh, B., T. Raghunathan, T. Jayabarathi, and X-S.. Yang. 2016. Economic dispatch using chaotic bat algorithm. Energy 96:666–75. doi: 10.1016/j.energy.2015.12.096.
   Web of Science ®Google Scholar
• Alsumait, J. S., J. K. Sykulski, and A. K. Al-Othman. 2010. A hybrid GA–PS–SQP method to solve power system valve-point economic dispatch problems. Applied Energy 87 (5):1773–81. doi:10.1016/j.apenergy.2009.10.007.
   Web of Science ®Google Scholar
• Amjady, N., and H. Nasiri-Rad. 2010. Solution of nonconvex and nonsmooth economic dispatch by a new adaptive real coded genetic algorithm. Expert Systems with Applications 37 (7):5239–45. doi:10.1016/j.eswa.2009.12.084.
   Web of Science ®Google Scholar
• Arul, R., S. Velusami, and G. Ravi. 2015. Solving economic load dispatch problems using chaotic self-adaptive differential harmony search algorithm. International Transactions on Electrical Energy Systems 25 (5):845–58. doi:10.1002/etep.1877.
   Web of Science ®Google Scholar
• Banerjee, S., D. Maity, and C. K. Chanda. 2015. Teaching learning based optimization for economic load dispatch problem considering valve point loading effect. International Journal of Electric Power Energy Systems 73:456–64. doi:10.1016/j.ijepes.2015.05.036.
   Web of Science ®Google Scholar
• Barcelo, W. R., and P. Rastgoufard. 1997. Dynamic economic dispatch using the extended security constrained economic dispatch algorithm. IEEE Transaction on Power Systems 12 (2):961–67. doi:10.1109/59.589791.
   Web of Science ®Google Scholar
• Barisal, A. K. 2013. Dynamic search space squeezing strategy based intelligent algorithm solutions to economic dispatch with multiple fuels. International Journal of Electrical Power & Energy Systems 45 (1):50–59. doi:10.1016/j.ijepes.2012.08.049.
   Web of Science ®Google Scholar
• Barisal, A. K., and R. C. Prusty. 2015. Large scale economic dispatch of power systems using oppositional invasive weed optimization. Applied Soft Computing 29:122–37. doi:10.1016/j.asoc.2014.12.014.
   Web of Science ®Google Scholar
• Basu, M. 2019. Squirrel search algorithm for multi-region combined heat and power economic dispatch incorporating renewable energy sources. Energy 182:296–305. doi:10.1016/j.energy.2019.06.087.
   Web of Science ®Google Scholar
• Basu, M., and A. Chowdhury. 2013. Cuckoo search algorithm for economic dispatch. Energy 60:99–108. doi:10.1016/j.energy.2013.07.011.
   Web of Science ®Google Scholar
• Bhattacharjee, K., A. Bhattacharya, and S. H. N. Dey. 2014. Solution of economic emission load dispatch problems of power systems by real coded chemical reaction algorithm. International Journal of Electrical Power Energy Systems 59:176–87. doi:10.1016/j.ijepes.2014.02.006.
   Web of Science ®Google Scholar
• Bhattacharjee, K., A. Bhattacharya, and S. N. H. Dey. 2015. Backtracking search optimization based economic environmental power dispatch problems. International Journal of Electrical Power & Energy Systems 73:830–42. doi:10.1016/j.ijepes.2015.06.018.
   Web of Science ®Google Scholar
• Bhattacharya, A., and P. K. Chattopadhyay. 2010. Hybrid differential evolution with biogeography-based optimization for solution of economic load dispatch. IEEE Transactions on Power Systems 25 (4):1955–64. doi:10.1109/TPWRS.2010.2043270.
   Web of Science ®Google Scholar
• Bulbul, S. M. A., M. Pradhan, P. K. Roy, and T. Pal. 2018. Opposition-based krill herd algorithm applied to economic load dispatch problem. Ain Shams Engineering Journal 9 (3):423–40. doi:10.1016/j.asej.2016.02.003.
   Web of Science ®Google Scholar
• Cai, J., Q. Li, L. Li, H. Peng, and Y. Yang. 2012. A hybrid CPSO-SQP method for economic dispatch considering the valve-point effects. Energy Conversion Management 53 (1):175–81. doi:10.1016/j.enconman.2011.08.023.
   Web of Science ®Google Scholar
• 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):1690–99. doi:10.1109/TPWRS.2005.857924.
   Web of Science ®Google Scholar
• Coelho, L., S. and V. C. Mariani. 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.
   Google Scholar
• Coelho, L. S. T., C. Bora, and V. C. Mariani. 2014. Differential evolution based on truncated Levy-type flights and population diversity measure to solve economic load dispatch problems. Electrical Power and Energy Systems 57:178–88. doi:10.1016/j.ijepes.2013.11.024.
   Web of Science ®Google Scholar
• Dhiman, G. 2020. MOSHEPO: A hybrid multi-objective approach to solve economic load dispatch and micro grid problems. Applied Intelligence 50 (4):119–37. doi:10.1007/s10489-019-01522-4.
   Google Scholar
• Dubey, H. M., M. Pandit, and B. K. Panigrahi. 2015. A biologically inspired modified flower pollination algorithm for solving economic dispatch problems in modern power systems. Cognitive Computation 7 (5):594–608. doi:10.1007/s12559-015-9324-1.
   Web of Science ®Google Scholar
• Duman, S., U. Guvenc, and N. Yorukeren. 2010. Gravitational search algorithm for economic dispatch with valve-point effects. International Review of Electrical Engineering (I.R.E.E.) 5 (6):2890–95. https://pdfs.semanticscholar.org/5683/ee20926c5cfa1c009a2f005b42caebb0d921.pdf.
   Web of Science ®Google Scholar
• Elanchezhian, E. B., S. Subramanian, and S. Ganesan. 2016. Economic dispatch of energy sources with restrictions on fuel using TLBO algorithm. Energy Sources, Part B: Economics, Planning, and Policy 11 (10):920–28. doi:10.1080/15567249.2013.792398.
   Web of Science ®Google Scholar
• El-Keib, A. A., H. Ma, and J. L. Hart. 1994. Environmentally constrained economic dispatch using the Lagrangian relaxation method. IEEE Transaction on Power Systems 9 (4):1723–27. doi:10.1109/59.331423.
   Web of Science ®Google Scholar
• Elsayed, W. T., Y. G. Hegazy, F. M. Bendary, and M. S. El-bages. 2016. Modified social spider algorithm for solving the economic dispatch problem. Engineering Science &technology, an International Journal 19 (4):1672–81. doi:10.1016/j.jestch.2016.09.002.
   Web of Science ®Google Scholar
• Gaing, Z. L. 2003. Particle swarm optimization to solving the economic dispatch considering the generator constraints. IEEE Transactions on Power Systems 18 (3):1187–95. doi:10.1109/TPWRS.2003.814889.
   Web of Science ®Google Scholar
• Ghasemi, M., S. Ghavidel, J. Aghaei, E. Akbari, and L. I. Li. 2018. CFA optimizer: A new and powerful algorithm inspired by Franklin’s and Coulomb’s laws theory for solving the economic load dispatch problems. International Transaction on Electrical Energy Systems 28 (5):e2536. doi:10.1002/etep.2536.
   Web of Science ®Google Scholar
• Gholamghasemi, M., E. Akbari, M. B. Asadpoor, and M. Ghasemi. 2019. A new solution to the non-convex economic load dispatch problems using phasor particle swarm optimization. Applied Soft Computing Journal 79:111–24. doi:10.1016/j.asoc.2019.03.038.
   Web of Science ®Google Scholar
• Ghorbani, N., and E. Babaei. 2016. Exchange market algorithm for economic load dispatch. International Journal of Electrical Power & Energy Systems 75:19–27. doi: 10.1016/j.ijepes.2015.08.013.
   Web of Science ®Google Scholar
• Ghorbani, N., E. Babaei, and F. Sadikoglu. 2016. Exchange market algorithm for economic load dispatch. International Journal of Electrical Power & Energy Systems 75:19–27. doi:10.1016/j.procs.2017.11.289.
   Web of Science ®Google Scholar
• Ghorbani, N., S. Vakili, E. Babaei, and A. Sakhavati. 2014. Particle swarm optimization with smart inertia factor for solving non-convex economic load dispatch problems. International Transaction on Electrical Energy Systems 24 (8):1120–33. doi:10.1002/etep.1766.
   Web of Science ®Google Scholar
• Guvenc, U., S. Duman, Y. Sonmez, H. T. Kahraman, and M. K. Dosoglu. 2018. Symbiotic organisms search algorithm for economic load dispatch problem with valve-point effect. Scientia Iranica 25 (6):3490–506. doi:10.24200/sci.2017.4378.
   Web of Science ®Google Scholar
• Hemamalini, S., and S. P. Simon. 2010. Artificial bee colony algorithm for economic load dispatch problem with non-smooth cost functions. Electric Power Components & Systems 38 (7):786–803. doi:10.1080/15325000903489710.
   Web of Science ®Google Scholar
• Hosseinnezhad, V., and E. Babaei. 2013. Economic load dispatch using θ-PSO. Internation Journal of Electrical Power& Energy Systems 49:160–69. doi:10.1016/j.ijepes.2013.01.002.
   Web of Science ®Google Scholar
• Hosseinnezhad, V., M. Rafiee, and M. Ahmadian. 2014. Species-based quantum particle swarm optimization for economic load dispatch. International Journal of Electrical Power & Energy Systems 63:311–22. doi:10.1016/j.ijepes.2014.05.066.
   Web of Science ®Google Scholar
• Hota, P. K., A. K. Barisal, and R. Chakrabarti. 2010. Economic emission load dispatch through fuzzy based bacterial foraging algorithm. International Journal of Electrical Power & Energy Systems 32 (7):794–803. doi:10.1016/j.ijepes.2010.01.016.
   Web of Science ®Google Scholar
• Jabr, R. A., A. H. Coonick, and B. J. Cory. 2000. A homogeneous linear programming algorithm for the security constrained economic dispatch problem. IEEE Transactions on Power Systems 15 (3):930–37. doi:10.1109/59.871715.
   Web of Science ®Google Scholar
• Jadoun, V. K., Gupta, N. Niazi, K. R. and A. Swarnkar. 2015. Modulated particle swarm optimization for economic emission dispatch. International Journal of Electrical Power & Energy Systems 73: 80-88. doi: 10.1016/j.ijepes.2015.04.004.
   Google Scholar
• Jain, M., V. Singh, and A. Rani. 2019. A novel nature-inspired algorithm for optimization: Squirrel search algorithm. Swarm and Evolutionary Computation 44 (2):148–75. doi:10.1016/j.swevo.2018.02.013.
   Google Scholar
• Ji-Yuan, F., and L. Zhang. 1998. Real-time economic dispatch with line flow and emission constraints using quadratic programming. IEEE Transactions on Power Systems 13 (2):320–26. doi:10.1109/59.667345.
   Web of Science ®Google Scholar
• Kaboli, S. H. A., and A. K. Alqallaf. 2019. Solving non-convex economic load dispatch problem via artificial cooperative search algorithm. Expert Systems with Applications 128:14–27. doi:10.1016/j.eswa.2019.02.002.
   Web of Science ®Google Scholar
• Labbi, Y., D. B. Attous, and H. A. Gabbar. 2016. A new rooted tree optimization algorithm for economic dispatch with valve-point effect. Electric Power Energy Systems 79:298–311. doi:10.1016/j.ijepes.2016.01.028.
   Web of Science ®Google Scholar
• Mahdad, B., and K. Srairi. 2014. Solving practical economic dispatch using hybrid GA-DE-PS method. International Journal of System Assurance Engineering Management 5 (3):391–98. doi:10.1007/s13198-013-0180-7.
   Google Scholar
• Mahdad, B., and K. Srairi. 2015. Interactive gravitational search algorithm and pattern search algorithms for practical dynamic economic dispatch. International Transaction on Electrical Energy Systems 25:2289–309. doi:10.1002/etep.1961.
   Web of Science ®Google Scholar
• Mandal, B., P. K. Roy, and S. Mandal. 2014. Economic load dispatch using krill herd algorithm. International Journal of Electrical Power & Energy Systems 57:1–10. doi:10.1016/j.ijepes.2013.11.016.
   Web of Science ®Google Scholar
• Manoharan, P. S., P. S. Kannan, and S. Baskar. 2008. Penalty parameter-less constraint handling scheme based evolutionary algorithm solutions to economic dispatch. IET Generation, Transmission & Distribution 2 (4):478–90. doi:10.1049/iet-gtd:20070423.
   Web of Science ®Google Scholar
• Modiri-Delshad, M., S. H. Aghay Kaboli, and E. Taslimi-Renani. 2016. Backtracking search algorithm for solving economic dispatch problems with valve-point effects and multiple fuel options. Energy 116 (1):637–49. doi:10.1016/j.energy.2016.09.140.
   Google Scholar
• Moradi-Dalvand, M., B. Mohammadi-Ivatloo, and A. Najafi. 2012. Continuous quick group search optimizer for solving non-convex economic dispatch problems. Electric Power Systems Research 93:93–105. doi:10.1016/j.epsr.2012.07.009.
   Web of Science ®Google Scholar
• Nanda, J., L. Hari, and M. L. Kothari. 1994. Economic emission load dispatch with line flow constraints using a classical technique. IEE- Proceeding Generation, Transmission & Distribution 141 (1):1–10. doi:10.1049/ip-gtd:19949770.
   Google Scholar
• Nguyen, T. T., and D. N. Vo. 2015. The application of one rank cuckoo search algorithm for solving economic load dispatch problems. Applied Soft Computing 37:763–73. doi:10.1016/j.asoc.2015.09.010.
   Web of Science ®Google Scholar
• Niknam, T., Mojarrad, H. D. and H. Zeinoddini-Meymand. 2011. A new honey bee mating optimization algorithm for non-smooth economic dispatch. Energy 36 (2):896–908 doi: 10.1016/j.energy.2010.12.021.
   Web of Science ®Google Scholar
• Niu, Q., H. Zhang, X. Wang, K. Li, and G. W. Irwin. 2014. A hybrid harmony search with arithmetic crossover operation for economic dispatch. International Journal of Electrical Power Energy Systems 62:237–57. doi:10.1016/j.ijepes.2014.04.031.
   Web of Science ®Google Scholar
• Pandit, M., Srivastava, L. and M. Sharma. 2014. Large-scale multi-zone optimal power dispatch using hybrid hierarchical evolution technique. The Journal of Engineering (3):71–80. doi: 10.1049/joe.2013.0262.
   Google Scholar
• Panigrahi, B. K., S. R. Yadav, and S. Agrawal. 2007. A clonal algorithm to solve economic load dispatch. Electric Power Systems Research 77 (10):1381–89. doi:10.1016/j.epsr.2006.10.007.
   Web of Science ®Google Scholar
• Pothiya, S., I. Ngamroo, and W. Kongprawechnon. 2010. Ant colony optimisation for economic dispatch problem with non-smooth cost functions. International Journal of Electrical Power & Energy Systems 32 (5):478–87. doi:10.1016/j.ijepes.2009.09.016.
   Web of Science ®Google Scholar
• Ravikumar Pandi, V., B. K. Panigrahi, W. C. Hong, and R. Sharma. 2014. A Multi-objective bacterial foraging algorithm to solve the environmental economic dispatch problem. Energy Sources, Part B: Economics, Planning, and Policy 9 (3):236–47. doi:10.1080/15567249.2010.485167.
   Web of Science ®Google Scholar
• Reddy, A. S., and K. Vaisakh. 2013. Shuffled differential evolution for large scale economic dispatch. Electric Power System Research 96 (3):237–45. doi:10.1016/j.epsr.2012.11.010.
   Google Scholar
• Roy, P. K., S. Bhui, and C. Paul. 2014. Solution of economic load dispatch using hybrid chemical reaction optimization approach. Applied Soft Computing 24:109–25. doi:10.1016/j.asoc.2014.07.013.
   Web of Science ®Google Scholar
• Sakthivel, V., P. M. Suman, and P. D. Sathya. 2020a. Non-convex economic dispatch problem with valve loading effect via electromagnetic field optimization. Journal of Xidian University 14 (4). doi: 10.37896/jxu14.4/315.
   Google Scholar
• Sakthivel, V. P. 2018. New particle swarm optimizer with nature inspired dynamic inertia weight for economic power dispatch. Global Journal of Engineering Science & Research 5 (2):97–104. http://www.gjesr.com/Issues%20PDF/Archive-2018/February-2018/14.pdf.
   Google Scholar
• Sakthivel, V. P., M. Suman, and P. D. Sathya. 2020b. Physics inspired metaheuristic approach for solving economic load dispatch in large scale power systems. Power Engineering POWER COIN’20 proceedings of international Conference at Sona College of Technology, Salem, India, 12-13, pp. 1.
   Google Scholar
• Sakthivel, V. P., and P. D. Sathya. 2017. Economic load dispatch using glowworm swarm optimization. International Innovative Research Journal of Engineering & Technology (IIRJET) 3 (1):24–31. doi:10.32595/iirjet.org/v3i1.2017.49.
   Google Scholar
• Sayah, S., A. Hamouda, and A. Bekrar. 2014. Efficient hybrid optimization approach for emission economic dispatch with nonsmooth cost curves. International Journal of Electrical Power & Energy Systems 56:127–39. doi:10.1016/j.ijepes.2013.11.001.
   Web of Science ®Google Scholar
• Secui, D. C. 2015. A new modified artificial bee colony algorithm for the economic dispatch problem. Energy Conversion Management 89:43–62. doi:10.1016/j.enconman.2014.09.034.
   Web of Science ®Google Scholar
• Secui, D. C. 2016. A modified symbiotic organisms search algorithm for large scale economic dispatch problem with valve-point effects. Energy 113:366–84. doi:10.1016/j.energy.2016.07.056.
   Web of Science ®Google Scholar
• Selvakumar, A. I., and K. Thanushkodi. 2009. Optimization using civilized swarm: Solution to economic dispatch with multiple minima. Electric Power Systems Research 79 (1):8–16. doi:10.1016/j.epsr.2008.05.001.
   Web of Science ®Google Scholar
• Singh, D., and J. S. Dhillon. 2019. Ameliorated grey wolf optimization for economic load dispatch problem. Energy 169:398–419. doi:10.1016/j.energy.2018.11.034.
   Web of Science ®Google Scholar
• Singh, N. J., J. S. Dhillon, and D. P. Kothari. 2016. Synergic predator-prey optimization for economic thermal power dispatch problem. Applied Soft Computing 43:298–311. doi:10.1016/j.asoc.2016.02.042.
   Web of Science ®Google Scholar
• Srinivasa Reddy, A., and K. Vaisakh. 2013. Shuffled differential evolution for economic dispatch with valve point loading effects. International Journal of Electrical Power & Energy Systems 46:342–52. doi:10.1016/j.ijepes.2012.10.012.
   Web of Science ®Google Scholar
• Suman, M., and V. P. Sakthivel. 2020. Coulomb’s and Franklin’s laws based optimization for nonconvex economic and emission dispatch problems. International Energy Journal 20 (2):225–38. http://rericjournal.ait.ac.th/index.php/reric/article/view/2273/pdf.
   Web of Science ®Google Scholar
• Vijay, R. 2012. Intelligent bacterial foraging optimization technique to economic load dispatch problem. International Journal of Soft Computing Engineering 2 (2):55–59. http://www.ijsce.org/wp-content/uploads/papers/v2i2/B0513032212.pdf.
   Google Scholar
• Vishwakarma, K., K. and H. M. Dubey. 2012. Simulated annealing based optimization for solving large scale economic load dispatch problems. International Journal of Engineering Research and Technology (IJERT) 1 (3):1-7. https://www.ajol.info/index.php/ijest/article/viewFile/168695/158166.
   Google Scholar
• Vo, D. N., P. Schegner, and W. Ongsakul. 2013. Cuckoo search algorithm for non-convex economic dispatch. IET Generation, Transmission & Distribution 7 (6):645–54. doi: 10.1049/iet-gtd.2012.0142.
   Web of Science ®Google Scholar
• Wang, L., and L-P.. Li. 2013. An effective differential harmony search algorithm for the solving non-convex economic load dispatch problems. International Journal of Electrical Power & Energy Systems44(1):832– 843. doi: 10.1016/j.ijepes.2012.08.021. 44
   Web of Science ®Google Scholar
• Xiong, G., D. Shi, and X. Duan. 2013. Multi-strategy ensemble biogeography-based optimization for economic dispatch problems. Applied Energy 111 (1):801–11. doi:10.1016/j.apenergy.2013.04.095.
   Google Scholar
• Yang, X. S., S. S. S. Hosseini, and A. H. Gandomi. 2012. Firefly algorithm for solving non- convex economic dispatch problems with valve loading effect. Applied Soft Computing 12 (3):1180–86. doi:10.1016/j.asoc.2011.09.017.
   Web of Science ®Google Scholar
• Yu, J., C. Kim, A. Wadood, T. Khurshaid, and S. Rhee. 2019. Jaya algorithm with self-adaptive multi-population and lévy flights for solving economic load dispatch problems. IEEE Access 7:21372–84. doi:10.1109/ACCESS.2019.2899043.
   Google Scholar
• Zhang, Q., D. Zou, N. Duan, and X. Shen. 2019. An adaptive differential evolutionary algorithm incorporating multiple mutation strategies for the economic load dispatch problem. Applied Soft Computing Journal 78:641–69. doi:10.1016/j.asoc.2019.03.019.
   Web of Science ®Google Scholar