Solving dynamic economic dispatch problem with security constraints using bacterial foraging PSO-DE algorithm

Abstract This paper presents a heuristic optimization methodology, namely, Bacterial foraging PSO-DE (BPSO-DE) algorithm by integrating Bacterial Foraging Optimization Algorithm (BFOA), Particle Swarm Optimization (PSO) and Differential Evolution (DE) for solving non-smooth non-convex Dynamic Economic Dispatch (DED) problem. The DED problem exhibits non-smooth, non-convex nature due to valve-point loading effects, ramp rate limits, spinning reserve capacity, prohibited operating zones and security constraints. The proposed hybrid method eliminates the problem of stagnation of solution with the incorporated PSO and DE operators in original bacterial foraging algorithm. It achieves global cost by selecting the bacterium with good foraging strategies. The bacteria with good foraging strategies are obtained in the updating process of every chemo-tactic step by the PSO operator. The DE operator fine tunes the solution obtained through bacterial foraging and PSO operator. A 3- and 7-unit systems for static economic dispatch, a 26-bus, 6-generator test system and an IEEE 39-bus, 10-unit New England test systems are considered to show the effectiveness of the proposed method over other methods reported in the literature.

[1]  Cheng-Chien Kuo,et al.  A Novel Coding Scheme for Practical Economic Dispatch by Modified Particle Swarm Approach , 2008, IEEE Transactions on Power Systems.

[2]  T.A.A. Victoire,et al.  Reserve constrained dynamic dispatch of units with valve-point effects , 2005, IEEE Transactions on Power Systems.

[3]  Malabika Basu,et al.  Artificial immune system for dynamic economic dispatch , 2011 .

[4]  Narayana Prasad Padhy,et al.  Comparison and application of evolutionary programming techniques to combined economic emission dispatch with line flow constraints , 2003 .

[5]  Kevin M. Passino,et al.  Biomimicry of bacterial foraging for distributed optimization and control , 2002 .

[6]  J. Nanda,et al.  Application of genetic algorithm to economic load dispatch with Lineflow constraints , 2002 .

[7]  Jong-Bae Park,et al.  An Improved Particle Swarm Optimization for Nonconvex Economic Dispatch Problems , 2010 .

[8]  H.K. Youssef,et al.  Power system security with the consideration of economic dispatch , 1994, Proceedings of MELECON '94. Mediterranean Electrotechnical Conference.

[9]  Sishaj P. Simon,et al.  Dynamic economic dispatch using artificial immune system for units with valve-point effect , 2011 .

[10]  Zwe-Lee Gaing,et al.  Constrained dynamic economic dispatch solution using particle swarm optimization , 2004, IEEE Power Engineering Society General Meeting, 2004..

[11]  K. Hindi,et al.  Dynamic economic dispatch for large scale power systems: a Lagrangian relaxation approach , 1991 .

[12]  T. Jayabarathi,et al.  Evolutionary programming techniques for different kinds of economic dispatch problems , 2005 .

[13]  Bijaya Ketan Panigrahi,et al.  Adaptive particle swarm optimization approach for static and dynamic economic load dispatch , 2008 .

[14]  Han Huang,et al.  A Particle Swarm Optimization Algorithm with Differential Evolution , 2007, 2007 International Conference on Machine Learning and Cybernetics.

[15]  A. Immanuel Selvakumar,et al.  Enhanced cross-entropy method for dynamic economic dispatch with valve-point effects , 2011 .

[16]  Pichet Sriyanyong,et al.  A Hybrid Particle Swarm Optimization Solution to Ramping Rate Constrained Dynamic Economic Dispatch , 2008 .

[17]  K. S. Swarup,et al.  A new evolutionary computation technique for economic dispatch with security constraints , 2006 .

[18]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[19]  Malabika Basu,et al.  Simulated Annealing Technique for Dynamic Economic Dispatch , 2006 .

[20]  Antti J. Koivo,et al.  Security Evaluation in Power Systems Using Pattern Recognition , 1974 .

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

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

[23]  Hoay Beng Gooi,et al.  Dynamic Economic Dispatch: Feasible and Optimal Solutions , 2001 .

[24]  K.S. Swarup,et al.  Particle swarm optimization for security constrained economic dispatch , 2004, International Conference on Intelligent Sensing and Information Processing, 2004. Proceedings of.

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

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

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

[28]  M. R. Mohan,et al.  Security constrained economic load dispatch using improved particle swarm optimization suitable for utility system , 2008 .

[29]  Whei-Min Lin,et al.  Quantum genetic algorithm for dynamic economic dispatch with valve-point effects and including wind power system , 2011 .

[30]  R. Balamurugan,et al.  Differential Evolution-based Dynamic Economic Dispatch of Generating Units with Valve-point Effects , 2008 .

[31]  A. Ebenezer Jeyakumar,et al.  Deterministically guided PSO for dynamic dispatch considering valve-point effect , 2005 .

[32]  Furong Li,et al.  Hybrid genetic approaches to ramping rate constrained dynamic economic dispatch , 1997 .

[33]  R. Balamurugan,et al.  An Improved Differential Evolution Based Dynamic Economic Dispatch with Nonsmooth Fuel Cost Function , 2007 .

[34]  Lixiang Li,et al.  CHAOTIC PARTICLE SWARM OPTIMIZATION FOR ECONOMIC DISPATCH CONSIDERING THE GENERATOR CONSTRAINTS , 2007 .

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

[36]  A. Ebenezer Jeyakumar,et al.  A Hybrid EP-PSO-SQP Algorithm for Dynamic Dispatch Considering Prohibited Operating Zones , 2008 .

[37]  Hong-Tzer Yang,et al.  Evolutionary programming based economic dispatch for units with non-smooth fuel cost functions , 1996 .

[38]  G. P. Granelli,et al.  Fast and efficient gradient projection algorithm for dynamic generation dispatching , 1989 .

[39]  A. K. Al-Othman,et al.  Application of pattern search method to power system security constrained economic dispatch with non-smooth cost function , 2007 .

[40]  K. Shailti Swamp,et al.  Constrained optimization using evolutionary programming for dynamic economic dispatch , 2005, Proceedings of 2005 International Conference on Intelligent Sensing and Information Processing, 2005..