Secant method with PSO for economic dispatch with valve point loading

This paper describes Secant method with Particle Swarm Optimization (PSO) for solving the Economic Dispatch (ED) problem with valve point loading. The ED problem is solved in two stages. The range of output powers near the global optimal solution is determined by the Secant method and then the final optimal solution is obtained by PSO. The proposed algorithm has been tested on 3-, 13- and 40-units. Simulation results of the proposed approach are compared with existing algorithms. From the different case studies, it is observed that the proposed approach provides qualitative solution with less computational time compared to various methods available in the literature.

[1]  Y. W. Wong,et al.  Genetic and genetic/simulated-annealing approaches to economic dispatch , 1994 .

[2]  Joong-Rin Shin,et al.  A particle swarm optimization for economic dispatch with nonsmooth cost functions , 2005, IEEE Transactions on Power Systems.

[3]  P. Dez,et al.  A Note on the Convergence of the Secant Method for Simple and Multiple Roots , 2004 .

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

[5]  G. Sheblé,et al.  Genetic algorithm solution of economic dispatch with valve point loading , 1993 .

[6]  A. Selvakumar,et al.  A New Particle Swarm Optimization Solution to Nonconvex Economic Dispatch Problems , 2007, IEEE Transactions on Power Systems.

[7]  L. Coelho,et al.  Combining of chaotic differential evolution and quadratic programming for economic dispatch optimization with valve-point effect , 2006, IEEE Transactions on Power Systems.

[8]  A. Ebenezer Jeyakumar,et al.  Hybrid PSO–SQP for economic dispatch with valve-point effect , 2004 .

[9]  Yuhui Shi,et al.  Particle swarm optimization: developments, applications and resources , 2001, Proceedings of the 2001 Congress on Evolutionary Computation (IEEE Cat. No.01TH8546).

[10]  P. Attaviriyanupap,et al.  A Hybrid EP and SQP for Dynamic Economic Dispatch with Nonsmooth Fuel Cost Function , 2002, IEEE Power Engineering Review.

[11]  Pedro Díez,et al.  A note on the convergence of the secant method for simple and multiple roots , 2003, Appl. Math. Lett..

[12]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[13]  Zwe-Lee Gaing,et al.  Particle swarm optimization to solving the economic dispatch considering the generator constraints , 2003 .

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

[15]  A. Breipohl,et al.  Reserve constrained economic dispatch with prohibited operating zones , 1993 .

[16]  Z.-X. Liang,et al.  A zoom feature for a dynamic programming solution to economic dispatch including transmission losses , 1992 .

[17]  Osvaldo R. Saavedra,et al.  EFFICIENT EVOLUTIONARY STRATEGY OPTIMISATION PROCEDURE TO SOLVE THE NONCONVEX ECONOMIC DISPATCH PROBLEM WITH GENERATOR CONSTRAINTS , 2005 .

[18]  T. Jayabarathi,et al.  Evolutionary programming‐based economic dispatch for units with multiple fuel options , 2007 .

[19]  Allen J. Wood,et al.  Power Generation, Operation, and Control , 1984 .