Open Access Open Access  Restricted Access Subscription or Fee Access

A New Sine Cosine Optimization Algorithm for Solving Combined Non-Convex Economic and Emission Power Dispatch Problems

(*) Corresponding author

Authors' affiliations



The current study presents a modified sine cosine optimization (MSCO) algorithm for solving the non-smooth environmental/economic power dispatch problem. In the proposed MSCO algorithm, random search agents’ population is initialized in the search domain for simultaneous optimization of both the combined economic and environmental objectives. Added to that, the proposed MSCO proposes an opposition strategy to preserve the diversity of solutions purposefully. Hence, the Pareto optimal solutions are customized according to the Pareto front concepts. These solutions are evolved using a modified version of the sine cosine algorithm (SCA), where the best agent is selected randomly from the stored Pareto solutions. Furthermore the parameter-based tuning mechanism is designed to improve the balance between the exploration and exploitation abilities. The correctness and effectiveness of the proposed MSCO are validated through experiments results and comparisons on EELD problem. Simulations were conducted on two test systems with non-smooth fuel cost and emission issues. The first system constitutes 6-unit benchmarking system, while the second one constitutes 10- units, and their results are compared with the results of other optimization techniques that were reported in the literature. The numerical comparisons reveal the robustness and effectiveness of the proposed MSCO algorithm.
Copyright © 2017 Praise Worthy Prize - All rights reserved.


Environmental/Economic Dispatch Problem; Optimization; Pareto Optimal Solution; Sine Cosine Algorithm

Full Text:



Sinha, Nidul, R. Chakrabarti, and P. K. Chattopadhyay. "Evolutionary programming techniques for economic load dispatch." IEEE Transactions on evolutionary computation 7, no. 1 (2003): 83-94.

Zhu, J.: 'Optimization of Power System Operation', John Wiley & Sons, Inc. Publication, IEEE, 2009.

El-Sehiemy, Ragab A., Mostafa Abdelkhalik El-Hosseini, and Aboul Ella Hassanien. "Multiobjective real-coded genetic algorithm for economic/environmental dispatch problem." Studies in Informatics and Control 22, no. 2 (2013): 113-122.

Rizk M. Rizk-Allah, Ragab A. El-Sehiemy, Gai-Ge Wang, "A novel parallel hurricane optimization algorithm for secure emission/economic load dispatch solution, Applied Soft Computing, Volume 63, 2018, pp. 206-222.

El-Hosseini, M.A., El-Sehiemy, R.A., Haikal, A.Y.: 'Multiobjective optimization algorithm for secure economical/emission dispatch problems', Journal of Engineering & Applied Science, 2014, 61, (1), pp. 83–103.

Yang, X.S.: 'Firefly algorithm for solving non-convex economic dispatch problems with valve loading effect', Applied Soft Computing, 2012, 12, (3), pp. 1180–1186.

Sayah, S., Abdellatif, H.: 'A hybrid differential evolution algorithm based on particle swarm optimization for nonconvex economic dispatch problems', Applied Soft Computing, 2013, 13, (4), pp. 1608–1619.

Damousis, I.G., Bakirtzis, A.G., Dokopoulos, P.S.: 'Network-constrained economic dispatch using real-coded genetic algorithm', IEEE Transactions on Power Systems, 2003, 18, (1), pp. 198–205.

Abido, M.A.: 'A niched Pareto genetic algorithm for multiobjective environmental/economic dispatch', Electrical Power and Energy Systems, 2009, 25, pp. 97–105.

Gjorgiev, B., Cepin, M.: 'A multi-objective optimization based solution for the combined economic-environmental power dispatch problem', Engineering Applications of Artificial Intelligence, 2013, 26, pp. 417–429.

Wu, L.H., Wang, Y.N., Yuan, X.F., Zhou, S.W.: 'Environmental/economic power dispatch problem using multi-objective differential evolution algorithm', Electric Power Systems Research, 2010, 80, pp. 1171–1181.

Soliman, A.S., Abdel-Aal, H.M.: 'Modern Optimization Techniques with Applications in Electric Power Systems: Optimal Power Flow, Energy Systems Series, ISSN 1867-8998, pp. 281-346, 2012.

Abou El-Ela, A.A., Bishr, M.A., Allam, S.M., El-Sehiemy, R.A.: 'Optimal preventive control actions using multi-objective fuzzy linear programming technique', Electric Power Systems Research, 2005, 74, (1), pp. 147–155.

Abou El-Ela, A.A., Bishr, M.A., Allam, S.M., El-Sehiemy, R.A.: 'An Emergency Power System Control Based on the Multi-stage Fuzzy Based Procedure', Electric Power Systems Research, 2007, 77, (5-6), pp. 421–429.

Abou El-Ela, A.A., El-Sehiemy, R.A.: 'Optimized Generation costs using modified particle Swarm optimization version', WSEAS transactions on power systems, 2007, pp. 225–232.

Abdelaziz AY, Ali ES, Abd Elazim SM. Implementation of flower pollination algorithm for solving economic load dispatch and combined economic emission dispatch problems in power systems. Energy 2016;101:506–18.

Abido, M.A.: 'Environmental/economic power dispatch using multiobjective evolutionary algorithms, IEEE Trans. Power Syst., 2003, 18, (4), pp. 1529–1537.

Abido, M.A.: 'Multiobjective evolutionary algorithms for electric power dispatch problem', IEEE Trans. Evol. Comput. 2006, 10, (3), pp. 315–329.

Abido, M.A.: 'Multiobjective particle swarm optimization for environmental/economic dispatch problem', Electr. Power Syst. Res., 2009, 79, (7), pp.1105–1113.

Wu, L.H., Wang, Y.N., Yuan, X.F., Zhou, S.W.: 'Environmental/economic power dispatch problem using multi-objective differential evolution algorithm', Electr. Power Syst. Res., 2010, 80, pp. 1171–1181.

Basu, M.: 'Economic environmental dispatch using multi-objective differential evolution', Int. J. Appl. Soft Comput., 2011, 11, pp. 2845–2853.

Seyedali, M.: SCA: A Sine Cosine Algorithm for Solving Optimization Problems, Knowledge-Based Systems, 2016.

Abdel Fattah Attia, El-Sehiemy, R.A, Hany Hasaneen, Optimal Power Flow Solution in Power Systems Using a Novel Sine-Cosine Algorithm, International Journal of Electrical Power and Energy Systems 99C (2018) pp. 331-343.

S. M. Ismael, S. H. E. Abdel Aleem, and A. Y. Abdelaziz, "Optimal selection of conductors in Egyptian radial distribution systems using sine-cosine optimization algorithm," presented at the 19th International Middle-East Power Systems Conference, MEPCON' 2017, Cairo, Egypt. December 19-21, 2017.

Ahmed Ahmed El-Sawy, Elsayed M. Zaki, and R.M. Rizk-Allah: 'A hybrid multi-objective optimization algorithm for Environmental/economic power dispatch', Eighth Egyptian Rural Development Conference (ERDC-8), Oct. 23-25, 2012, Mounifia, Egypt.

Bouchekara, H.R.E.H., Chaib, A.E., Abido, M.A., El-Sehiemy, R.A.: 'Optimal power flow using an Improved Colliding Bodies Optimization algorithm', Applied Soft Computing, 2016, 42, pp. 119–131.

Rizk-Allah, Rizk M., Ragab A. El-Sehiemy, and Gai-Ge Wang. "A novel parallel hurricane optimization algorithm for secure emission/economic load dispatch solution." Applied Soft Computing 63 (2018): 206-222.

A. Abou El-Ela, Ragab A. El Sehiemy, R.M. Rizk-Allah, D. Abdel Fatah: 'Multi-Objective Fruit Fly Optimization Algorithm for Solving Economic Power Dispatch Problem', International Conference on New Trends for Sustainable Energy (ICNTSE), pp. 17–22, 2016.

Güvenç, U., Sonmez, Y., Duman, S., Yorükeren, N.: 'Combined economic and emission dispatch solution using gravitational search algorithm', Sci. Iran. D Comput. Sci. Eng. Electr. Eng., 2012, 19, (6), pp. 1754–1762.

Manteaw, E.D., Odero, N.A.: 'Combined economic and emission dispatch solution using ABC-PSO hybrid algorithm with valve point loading effect', Int. J. Sci. Res. Publ, 2012, 2, (12), pp. 1–9.

Zhang, R., Zhou, J., Mo, L., Ouyang, S., Liao, X.: 'Economic environmental dispatch using an enhanced multi-objective cultural algorithm', Electr. Power Syst. Res., 2013, 99, pp. 18–29.

Tizhoosh HR. Opposition-Based Learning: A New Scheme for Machine Intelligence. Comput Intell Model Control Autom 2005 Int Conf Intell Agents, Web Technol Internet Commer Int Conf 2005;1:695–701.


  • There are currently no refbacks.

Please send any question about this web site to
Copyright © 2005-2024 Praise Worthy Prize