Abstract
It is challenging to obtain global minima for practical economic dispatch (ED) problem with heavy constraints. Traditional PSO is easy to fall into local optimum when it is applied to solve the ED problem; therefore, in this paper, an efficient self-adaptive chaos and Kalman filter-based particle swarm optimization algorithm (SCKF-PSO) is proposed to solve economic dispatch (ED) problem while considering minimizing the cost with various equality and inequality constraints. The algorithm adopts both the learning mechanism of PSO and the estimation strategy of Kalman filter to update the position of the particle, which can improve the convergence performance. Moreover, a novel self-adaptive chaotic strategy is utilized to increase the diversity of the population. The feasibility of SCKF-PSO algorithm is illustrated by testing on several benchmark functions and three different ED problems in power systems. The simulation results show that compared with previous approaches reported in the literature, the proposed SCKF-PSO can obtain higher quality solutions with stability and efficiency in the ED problem.
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Cai J, Ma X, Li Q, Li L, Peng Haipeng (2009) A multi-objective chaotic particle swarm optimization for environmental/economic dispatch. Energy Convers Manag 50:1318–1325
Chandram K, Subrahmanyam N, Sydulu M (2009) Secant method with PSO for economic dispatch with valve point loading. In: IEEE conference of power & energy society general meeting, pp 1–6
Chaturvedi KT, Pandit M, Srivastava L (2008) Self organizing hierarchical particle swarm optimization for nonconvex economic dispatch. IEEE Trans Power Syst 23(3):1079–1087
Chaturvedi KT, Pandit M, Srivastava L (2009) Particle swarm optimization with crazy particles for nonconvex economic Dispatch. Appl Soft Comput 9:962–969
Gaing Z-L (2003) Particle swarm optimization to solving the economic dispatch considering the generator constraints. IEEE Trans Power Syst 18(3):661–669
Gutiérrez AL, Lanza M, Barriuso I, Valle L, Domingo M, Pérez JR, Basterrechea J (2011) Comparison of different pso initialization techniques for high dimensional search space problems: a test with FSS and antenna arrays. In: 2011 Second international conference on mechanic automation and control engineering (MACE), pp 965–969
Hindi KS, Ab Ghani MR (1991) Dynamic economic dispatch for large scale power systems: a Lagrangian relaxation approach. Int J Electr Power Energy 13(1):51–56
Izquierdo J, Montalvo I, Pérez R, Fuertes VS (2008) Design optimization of wastewater collection networks by PSO. Comput Math Appl 56(3):777–784
Jayabharathi T, Jayaprakash K, Jeyakumar N, Raghunathan T (2005) Evolutionary programming techniques for different kinds of economic dispatch problems. Electr Power Syst Res 73(2):169–176
Jiejin C, Xiaoqian M, Lixiang L, Haipeng P (2007) Chaotic particle swarm optimization for economic dispatch considering the generator constraints. Energy Convers Manag 48:645–653
Jong-Bae P, Yun-Won J, Joong-Rin S, Lee K, Wang Y (2010) An improved particle swarm optimization for non convex economic dispatch problems. IEEE Trans Power Syst 25(1):156–166
Lee KY et al (1984) Fuel cost minimize at ion for both real- and reactive power dispatches. IEEE Proc Gener Transit Distrib Part C 131(3):85–93
Neyestani M, Malihe M, Farsangin HN (2010) A modified particle swarm optimization for economic dispatch with non-smooth cost functions. Eng Appl Artif Intell 23:1121–1126
Niknama T, Mojarrad HD, Meymand HZ (2011) Non-smooth economic dispatch computation by fuzzy and self adaptive particle swarm optimization. Appl Soft Comput 11:2805–2817
Park B, Lee KS, Shin JR, Lee KY (2005) A particle swarm optimization for economic dispatch with non-smooth cost functions. IEEE Trans Power Syst 20(1):34–42
Rong A, Hakonen H, Lahdelma R (2008) A variant of the dynamic programming algorithm for unit commitment of combined heat and power systems. Eur J Oper Res 190:741–755
Safari A, Shayeghi H (2011) Iteration particle swarm optimization procedure for economic load dispatch with generator constraints. Expert Syst Appl 38:6043–6048
Satapathy SC, Chittineni S, Krishna M et al (2012) Kalman particle swarm optimized polynomials for data classification. Appl Math Model 36:115–126
Song Y, Chen Z, Yuan Z (2007) New chaotic PSO-based neural network predictive control for nonlinear process. IEEE Trans Neural Netw 18(2):595–600
Sun J, Fang W, Wang D, Wenbo X (2009) Solving the economic dispatch problem with a modified quantum-behaved particle swarm optimization method. Energy Convers Manag 50:2967–2975
Vaisakh K, Praveena P, Rao SRM, Meah K (2012) Solving dynamic economic dispatch problem with security constraints using bacterial foraging PSO-DE algorithm. Electr Power Energy Syst 39:56–67
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This paper was supported by the National Science Youth foundation of China under Number 61503299 and National Natural Science Foundation of China under Grant Number 61203183.
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Wu, Y., Liu, G., Guo, X. et al. A self-adaptive chaos and Kalman filter-based particle swarm optimization for economic dispatch problem. Soft Comput 21, 3353–3365 (2017). https://doi.org/10.1007/s00500-015-2013-x
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DOI: https://doi.org/10.1007/s00500-015-2013-x