Chaos-enhanced cuckoo search for economic dispatch with valve point effects

Economic dispatch determines the optimal generation outputs to minimize the toal fuel cost while satisfying the load demand and operational constraints. Modern optimization techniques fail to solve the problem in a robust manner and finding robust global optimization techniques is necessary for efficient system operation. In this study, the potentiality of introducing chaos into the standard Cuckoo Search (CS) in order to further enhance its global search ability is investigated. Deterministic chaotic maps are random-based techniques that can provide a balanced exploration and exploitation searches for the algorithm. Four different variants are generated by carefully choosing four different locations (within the standard CS) with potential adoption of a candidate chaotic map.Then detailed studies are carried out on benchmark power system problems with four different locations to find out the most efficient one. The best of all test cases generated is chosen and compared with algorithms presented in the literature. The results show that the proposed method with the proposed chaotic map outperforms standard CS. Additionally, the chaos-enhanced CS has a very good performance in comparison with QPSO and NSS.

[1]  Whei-Min Lin,et al.  A novel stochastic search method for the solution of economic dispatch problems with non-convex fuel cost functions , 2011 .

[2]  Abhinav Sadu,et al.  A hybrid multi-agent based particle swarm optimization algorithm for economic power dispatch , 2011 .

[3]  Sishaj P. Simon,et al.  Maclaurin series-based Lagrangian method for economic dispatch with valve-point effect , 2009 .

[4]  Xin-She Yang,et al.  Cuckoo search: recent advances and applications , 2013, Neural Computing and Applications.

[5]  Jong-Bae Park,et al.  An Improved Particle Swarm Optimization for Nonconvex Economic Dispatch Problems , 2010, IEEE Transactions on Power Systems.

[6]  Leandro dos Santos Coelho,et al.  Chaotic artificial immune approach applied to economic dispatch of electric energy using thermal units , 2009 .

[7]  P. K. Chattopadhyay,et al.  Evolutionary programming techniques for economic load dispatch , 2003, IEEE Trans. Evol. Comput..

[8]  Hardiansyah Hardiansyah,et al.  An Efficient Simulated Annealing Algorithm for Economic Load Dispatch Problems , 2013 .

[9]  Hossein Shahinzadeh,et al.  Applications of Particle Swarm Optimization Algorithm to Solving the Economic Load Dispatch of Units in Power Systems with Valve-Point Effects , 2014 .

[10]  Z. Dong,et al.  Quantum-Inspired Particle Swarm Optimization for Valve-Point Economic Load Dispatch , 2010, IEEE Transactions on Power Systems.

[11]  Amir Hossein Gandomi,et al.  Firefly Algorithm for solving non-convex economic dispatch problems with valve loading effect , 2012, Appl. Soft Comput..

[12]  Ching-Tzong Su,et al.  Nonconvex Power Economic Dispatch by Improved Genetic Algorithm with Multiplier Updating Method , 2004 .

[13]  Whei-Min Lin,et al.  Combining of Direct Search and Signal-to-Noise Ratio for economic dispatch optimization , 2011 .

[14]  Xin-She Yang,et al.  Chaos-enhanced accelerated particle swarm optimization , 2013, Commun. Nonlinear Sci. Numer. Simul..

[15]  Lixiang Li,et al.  A hybrid CPSO–SQP method for economic dispatch considering the valve-point effects , 2012 .

[16]  M. Pandit,et al.  Self-Organizing Hierarchical Particle Swarm Optimization for Nonconvex Economic Dispatch , 2008, IEEE Transactions on Power Systems.

[17]  A. N. Afandi,et al.  Comparing Performances of Evolutionary Algorithms on the Emission Dispatch and Economic Dispatch Problem , 2015 .

[18]  Xin-She Yang,et al.  Cuckoo Search via Lévy flights , 2009, 2009 World Congress on Nature & Biologically Inspired Computing (NaBIC).

[19]  Xin-She Yang,et al.  Nature-Inspired Metaheuristic Algorithms , 2008 .

[20]  Whei-Min Lin,et al.  An Improved Tabu Search for Economic Dispatch with Multiple Minima , 2002, IEEE Power Engineering Review.

[21]  P. Venkatesh,et al.  Glowworm swarm optimization algorithm with topsis for solving multiple objective environmental economic dispatch problem , 2014, Appl. Soft Comput..

[22]  J. J. Jamian,et al.  Empirical study of particle swarm optimization for economic load dispatch with valve-point effects , 2014, 2014 IEEE 8th International Power Engineering and Optimization Conference (PEOCO2014).