Abstract
Environmental Economic Dispatch (EED) problem has been paid more attention in recent years as it can save the cost of the fuel while reducing the environmental pollution. A novel Multi-objective Differential Brain Storm Optimization (MDBSO) algorithm is proposed to solve EED problem in this chapter. Different from the classical BSO, the clustering operation is designed in the objective space instead of solution space to improve the computing efficiency. The difference mutation operation is also adopted in the proposed algorithm to replace the Gaussian mutation in the original BSO algorithm for increasing the diversity of the population and improving the speed of convergence. The performance of the proposed algorithm is verified by two test systems with 6 units and 40 units in the literature. The simulation results show that comparing with other intelligent optimization method, MDBSO can maintain the diversity of Pareto optimal solutions and show better convergence at the same time.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Abido, M.A.: Multi objective particle swarm optimization for environmental/economic dispatch problem. Electr. Power Syst. Res. 79(7), 1105–1113 (2009)
Yalcinoz, T., Köksoy, O.: A multi objective optimization method to environmental economic dispatch. Electr. Power Syst. Res. 29(1), 42–50 (2007)
Qu, B.Y., Zhu, Y.S., Jiao, Y.C., et al.: A Survey on multi-objective evolutionary algorithms for the solution of the environmental/economic dispatch problems. Swarm Evol. Comput. 38, 1–11 (2018)
Alomoush, M.I., Oweis, Z.B.: Environmental-economic dispatch using stochastic fractal search algorithm. Int. Trans. Electr. Energ. Syst. 3, e2530 (2018)
Zhao, B.: Research on Swarm Intelligence Computation and Multi-agent Technique and their Applications to Optimal Operation of Electrical Power System. Zhejiang University, Zhejiang (2005)
Abido, A.A.: A new multiobjective evolutionary algorithm for environmental/economic power dispatch. Electr. Power Syst. Res. 65(1), 71–81 (2003)
Rose, L.R., Selvi, B.D.A., Singh, R.L.R.: A novel approach to solve environmental economic dispatch problem using Gauss Newton based genetic algorithm 6(6), 1561 (2016)
El-Sehiemy, R.A., El-Hosseini, M.A., Hassanien, A.E.: Multiobjective real-coded genetic algorithm for economic/environmental dispatch problem. Stud. Inf. Control 22(2), 113–122 (2013)
Lu, Y., Zhou, J., Hui, Q., et al.: Environmental/economic dispatch problem of power system by using an enhanced multi-objective differential evolution algorithm. Energy Convers. Manag. 52(2), 1175–1183 (2011)
Basu, M.: Economic environmental dispatch using multi-objective differential evolution. Appl. Soft Comput. J. 11(2), 2845–2853 (2011)
Pandit, M., Srivastava, L., Sharma, M.: Environmental economic dispatch in multi-area power system employing improved differential evolution with fuzzy selection. Appl. Soft Comput. 28, 498–510 (2015)
Agrawal, S., Panigrahi, B.K., Tiwari, M.K.: Multiobjective particle swarm algorithm with fuzzy clustering for electrical power dispatch. IEEE Trans. Evol. Comput. 12(5), 529–541 (2008)
Rose, R.L., Selvi, B.D.A., Singh, R.L.R.: Development of hybrid algorithm based on PSO and NN to solve economic emission dispatch problem. Circuits Syst. 07(9), 2323–2331 (2016)
Zou, D., Li, S., Li, Z., et al.: A new global particle swarm optimization for the economic emission dispatch with or without transmission losses. Energy Convers. Manag. 139, 45–70 (2017)
Roy, P.K., Bhui, S.: Multi-objective quasi-oppositional teaching learning based optimization for economic emission load dispatch problem. Int. J. Electr. Power Energy Syst. 53(4), 937–948 (2013)
Lu, Z.G., Feng, T., Li, X.P.: Low-carbon emission/economic power dispatch using the multi-objective bacterial colony chemotaxis optimization algorithm considering carbon capture power plant. Int. J. Electr. Power Energy Syst. 53(1), 106–112 (2013)
Shi, Y.: Brain storm optimization algorithm. In: Advances in Swarm Intelligence Second International Conference, ICSI 2011, pp. 1–3. Chongqing, China, 12–15 June 2011
Xue, J., Wu, Y., Shi, Y., et al.: Brain storm optimization algorithm for multi-objective optimization problems. Lect. Notes Comput. Sci. 7331(4), 513–519 (2012)
Wu, Y, Xie, L, Liu, Q.: Multi-objective brain storm optimization based on estimating in knee region and clustering in objective-space. In: International Conference in Swarm Intelligence, pp. 479–490. Springer, Cham (2016)
Guo, X., Wu, Y., Xie, L., et al.: An adaptive brain storm optimization algorithm for multiobjective optimization problems. Lect. Notes Comput. Sci. 9140(4), 365–372 (2015)
Walters, D.C., Sheblé, G.B.: Genetic algorithm solution of economic dispatch with valve point loading. IEEE Trans. Power Syst. 8(3), 1325–1332 (1993)
Farag, A., Al-Baiyat, S., Cheng, T.C.: Economic load dispatch multiobjective optimization procedures using linear programming techniques. IEEE Trans. Power Syst. 10(2), 731–738 (1995)
Yokoyama, R., Bae, S.H., Morita, T., Sasaki, H.: Multiobjective generation dispatch based on probability security criteria. IEEE Trans. Power Syst. 3(1), 317–324 (1988)
Cheng, S, Shi, Y, Qin, Q, et al.: Solution clustering analysis in brain storm optimization algorithm. In: 2013 IEEE Symposium on Swarm Intelligence (SIS), pp. 1391–1399 (2013)
Zitzler, E., Thiele, L.: Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach. IEEE Trans. Evol. Comput. 3(4), 257–271 (1999)
Deb, K., Pratap, A., Agarwal, S., et al.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)
Acknowledgements
This chapter is supported by National Youth Foundation of China with Grant Number 61503299.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Wu, Y., Wang, X., Xu, Y., Fu, Y. (2019). Multi-objective Differential-Based Brain Storm Optimization for Environmental Economic Dispatch Problem. In: Cheng, S., Shi, Y. (eds) Brain Storm Optimization Algorithms. Adaptation, Learning, and Optimization, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-030-15070-9_4
Download citation
DOI: https://doi.org/10.1007/978-3-030-15070-9_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-15069-3
Online ISBN: 978-3-030-15070-9
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)