Abstract
The hybrid differential evolution and gravitational search algorithm (DEGSA) to solve economic dispatch (ED) problems with non-convex cost functions is presented in this paper with various generator constraints in power systems. The proposed DEGSA method is an improved differential evolution method based on the gravitational search algorithm scheme. The DEGSA method has the flexible adjustment of the parameters to get a better optimal solution. Moreover, an effective constraint handling framework in the method is employed for properly handling equality and inequality constraints of the problems. The proposed DEGSA has been tested on three systems with 13, 15, 40 units and the obtained results from the DEGSA algorithm have been compared to those from other methods in the literature. The result comparison has indicated that the proposed DEGSA method is more effective than many other methods for obtaining better optimal solution for the test systems. Therefore, the proposed DEGSA is a very favorable method for solving the non-convex ED problems.
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References
Yang, H.T., Yang, P.C., Huang, C.L.: Evolutionary programming based economic dispatch for units with non-smooth fuel cost functions. IEEE Trans. Power Syst. 11(1), 112–118 (1996)
Sinha, N., Chakrabarti, R., Chattopadhyay, P.K.: Evolutionary programming techniques for economic load dispatch. IEEE Trans. Evol. Comput. 7(1), 83–94 (2003)
Walters, D.C., Sheble, G.B.: Genetic algorithm solution of economic dispatch with valve point loading. IEEE Trans. Power Syst. 8(3) (1993)
Lin, W.M., Cheng, F.S., Tsay, M.T.: Improved tabu search for economic dispatch with multiple minima. IEEE Trans. Power Syst. 17(1), 108–112 (2002)
Khamsawang, S., Boonseng, C., Pothiya, S.: Solving the economic dispatch problem with tabu search algorithm. In: Proceeding of the IEEE International Conference on Industrial Technology, Bangkok, Thialand, pp. 274–278 (2002)
Wong, K.P., Wong, Y.W.: Genetic and Genetic/Simulated – Annealing approaches to economic dispatch. IEE Proc. Gener. Transm. Distrib. 141(5), 507–513 (1994)
Wong, K.P.: Solving power system optimization problems using simulated annealing. Engng. Applic. Artif. Intell. 8(6), 665–670 (1996)
Selvakumar, A.I., Thanushkodi, K.: A new particle swarm optimization solution to nonconvex economic dispatch problem. IEEE Trans. Power Syst. 22(1), 42–51 (2007)
Coelho, L.D.S., Souza, R.C.T., Mariani, V.C.: Improved differential evolution approach based on cultural algorithm and diversity measure applied to solve economic load dispatch problems. Math. Comput. Simul. 79, 3136–3147 (2009)
Noman, N., Iba, H.: Differential evolution for economic load dispatch problems. Electr. Power Syst. Res. 78, 1322–1331 (2008)
Coelho, L.D.S., Mariani, V.C.: Combining of chaotic differential evolution and quadratic programming for economic dispatch optimization with valve-point effect. IEEE Trans. Power Syst. 21, 989–996 (2006)
Rashedi, E., Nezamabadi-pour, H., Saryazdi, S.: Filter modeling using gravitational search algorithm. In: Engineering Applications of Artificial Intelligence (to be published, 2010) (accepted for publication)
Victorie, T.A.A., Jeyakumar, A.E.: Hybrid PSO-SQP for economic dispatch with valve-point effect. Electric Power Systems Research 71, 51–59 (2004)
Luong, L.D., Dieu, V.N., Hop, N.T., Dung, L.A.: A Hybrid Differential Evolution and Harmony Search for Nonconvex Economic Dispatch Problems. In: 2013 IEEE 7th International Power Engineering and Optimization Conference (PEOCO), June 3-4, pp. 238–243 (2013)
Chen, C.H., Yeh, S.N.: Particle Swarm Optimization for Economic Power Dispatch with Valve-Point Effects. In: 2006 IEEE PES Transmission and Distribution Conference and Exposition Latin America, Venezuela, August 15-18 (2006)
Victoire, T.A.A.: Hybrid PSO-SQP for economic dispatch with valve point effect. Elec. Power Syst. Res. 71(1), 51–59 (2004)
He, D.-K., Wang, F.-L., Mao, Z.-Z.: Hybrid genetic algorithm for economic dispatch with valvepoint effect. Elec. Power Syst. Res. 78, 626–633 (2008)
Chaturvedi, K.T., Pandit, M., Srivastava, L.: Self-organizing hierar-chical particle swarm optimization for nonconvex economic dispatch. IEEE Trans. Power Systems 23(3), 1079–1087 (2008)
Chen, Y.-P., Peng, W.-C., Jian, M.-C.: Particle swarm optimization with recombination and dynamic linkage discovery. IEEE Trans. Systems, Man, and Cybernetics - Part B: Cybernetics 37(6), 1460–1470 (2007)
Hemamalini, S., Simon, S.P.: Artificial bee colony algorithm for economic load dispatch problem with non-smooth costfunctions. Electric Power Components and Systems 38(7), 786–803 (2010)
dos Santos Coelho, L., Mariani, V.C.: Combining of chaotic differ-ential evolution and quadratic programming for economic dispatch optimization with valve-point effect. IEEE Trans. Power Systems 21(2), 989–996 (2006)
Wang, S.-K., Chiou, J.-P., Liu, C.-W.: Non-smooth/non-convex economic dispatch by a novel hybrid differential evolution algorithm. IET Gener. Transm. Distrib. 1(5), 793–803 (2007)
Chaturvedi, K.T., Pandit, M., Srivastava, L.: Self-organizing hierar-chical particle swarm optimization for nonconvex economic dispatch. IEEE Trans. Power Systems 23(3), 1079–1087 (2008)
Niknam, T.: A new fuzzy adaptive hybrid particle swarm optimization algorithm for non-linear, non-smooth and non-convexeconomic dispatch problem. Applied Energy 87(1), 327–339 (2010)
Noman, N., Iba, H.: Differential evolution for economic load dis-patch problems. Electric Power Systems Research 78(8), 1322–1331 (2008)
Safari, A., Shayeghi, H.: Iteration particle swarm optimization procedure for economic load dispatch with generator constraints. Expert Systems with Applications 38(5), 6043–6048 (2011)
Gaing, Z.L.: Particle swarm optimization to solving the economic dispatch considering the generator constraints. IEEE Trans. Power Syst. 18(3), 1187–1195 (2003)
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Le, L.D., Ho, L.D., Vo, D.N., Vasant, P. (2015). Hybrid Differential Evolution and Gravitational Search Algorithm for Nonconvex Economic Dispatch. In: Handa, H., Ishibuchi, H., Ong, YS., Tan, KC. (eds) Proceedings of the 18th Asia Pacific Symposium on Intelligent and Evolutionary Systems - Volume 2. Proceedings in Adaptation, Learning and Optimization, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-319-13356-0_8
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DOI: https://doi.org/10.1007/978-3-319-13356-0_8
Publisher Name: Springer, Cham
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