Economic dispatch using hybrid grey wolf optimizer

This paper presents the application of one of the latest swarm intelligence algorithms, the grey wolf optimizer, for solving economic dispatch problems that are nonlinear, non-convex and discontinuous in nature, with numerous equality and inequality constraints. Grey wolf optimizer is a new metaheuristic algorithm that is loosely based on the behavior of the grey wolves. The optimizer has been hybridized to include crossover and mutation for better performance. Four economic dispatch problems (6, 15, 40, and 80 generators), with prohibited operating zones, valve point loading effect and ramp rate limit constraints have been solved, with and without transmission losses. The losses are calculated using B-coefficients. The results obtained are compared with those reported using other methods in the literature. The comparisons show that the hybrid grey wolf optimizer used in this paper either matches or outperforms the other methods.

[1]  P. N. Suganthan,et al.  Ensemble of Constraint Handling Techniques , 2010, IEEE Transactions on Evolutionary Computation.

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

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

[4]  A. Srinivasa Reddy,et al.  Shuffled differential evolution for large scale economic dispatch , 2013 .

[5]  Ponnuthurai N. Suganthan,et al.  Efficient constraint handling for optimal reactive power dispatch problems , 2012, Swarm Evol. Comput..

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

[7]  George W. Irwin,et al.  A hybrid harmony search with arithmetic crossover operation for economic dispatch , 2014 .

[8]  Taher Niknam,et al.  Robust, fast and optimal solution of practical economic dispatch by a new enhanced gradient-based simplified swarm optimisation algorithm , 2013 .

[9]  Amir Hossein Alavi,et al.  Krill herd: A new bio-inspired optimization algorithm , 2012 .

[10]  Taher Niknam,et al.  A new modified teaching-learning algorithm for reserve constrained dynamic economic dispatch , 2013, IEEE Transactions on Power Systems.

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

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

[13]  P. Martin,et al.  An optimal formulation and solution of short-range operating problems for a power system with flow constraints , 1972 .

[14]  A. Chowdhury,et al.  Cuckoo search algorithm for economic dispatch , 2013 .

[15]  G. Sheblé,et al.  Power generation operation and control — 2nd edition , 1996 .

[16]  Taher Niknam,et al.  Non-smooth economic dispatch computation by fuzzy and self adaptive particle swarm optimization , 2011, Appl. Soft Comput..

[17]  Aniruddha Bhattacharya,et al.  Oppositional Real Coded Chemical Reaction Optimization for different economic dispatch problems , 2014 .

[18]  Santiago Grijalva,et al.  Game-Theoretic Formulation of Power Dispatch With Guaranteed Convergence and Prioritized BestResponse , 2015, IEEE Transactions on Sustainable Energy.

[19]  Nasrudin Abd Rahim,et al.  Solving non-convex economic dispatch problem via backtracking search algorithm , 2014 .

[20]  Lixiang Li,et al.  A hybrid FCASO-SQP method for solving the economic dispatch problems with valve-point effects , 2012 .

[21]  Hongbin Sun,et al.  A Bi-Level Branch and Bound Method for Economic Dispatch With Disjoint Prohibited Zones Considering Network Losses , 2015, IEEE Transactions on Power Systems.

[22]  Taher Niknam,et al.  A new honey bee mating optimization algorithm for non-smooth economic dispatch , 2011 .

[23]  P. N. Suganthan,et al.  Differential Evolution: A Survey of the State-of-the-Art , 2011, IEEE Transactions on Evolutionary Computation.

[24]  Andrew Lewis,et al.  Grey Wolf Optimizer , 2014, Adv. Eng. Softw..

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

[26]  Taher Niknam,et al.  Enhanced Bee Swarm Optimization Algorithm for Dynamic Economic Dispatch , 2013, IEEE Systems Journal.

[27]  T. Jayabarathi,et al.  Particle swarm optimization for various types of economic dispatch problems , 2006 .

[28]  Xiaoxin Zhou,et al.  Economic Dispatch With Non-Smooth Objectives—Part II: Dimensional Steepest Decline Method , 2015, IEEE Transactions on Power Systems.

[29]  Zwe-Lee Gaing Closure to "Discussion of 'Particle swarm optimization to solving the economic dispatch considering the generator constraints'" , 2004 .

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

[31]  T. Jayabarathi,et al.  Evolutionary programming based economic dispatch of generators with prohibited operating zones , 1999 .

[32]  M. Rafiee,et al.  Species-based Quantum Particle Swarm Optimization for economic load dispatch , 2014 .

[33]  Celal Yaşar,et al.  A new hybrid approach for nonconvex economic dispatch problem with valve-point effect , 2011 .

[34]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .

[35]  Taher Niknam,et al.  Reserve Constrained Dynamic Economic Dispatch: A New Fast Self-Adaptive Modified Firefly Algorithm , 2012, IEEE Systems Journal.

[36]  Ismail H. Altas,et al.  A novel modified hybrid PSOGSA based on fuzzy logic for non-convex economic dispatch problem with valve-point effect , 2015 .

[37]  E. Kyriakides,et al.  A GA-API Solution for the Economic Dispatch of Generation in Power System Operation , 2012, IEEE Transactions on Power Systems.

[38]  Waree Kongprawechnon,et al.  Application of multiple tabu search algorithm to solve dynamic economic dispatch considering generator constraints , 2008 .

[39]  Dinu Calin Secui,et al.  A new modified artificial bee colony algorithm for the economic dispatch problem , 2015 .

[40]  P. K. Chattopadhyay,et al.  Hybrid Differential Evolution With Biogeography-Based Optimization for Solution of Economic Load Dispatch , 2010, IEEE Transactions on Power Systems.

[41]  W. T. Elsayed,et al.  A Fully Decentralized Approach for Solving the Economic Dispatch Problem , 2015, IEEE Transactions on Power Systems.

[42]  Sanjoy Mandal,et al.  Economic load dispatch using krill herd algorithm , 2014 .

[43]  Xiaojun Wu,et al.  Solving the Power Economic Dispatch Problem With Generator Constraints by Random Drift Particle Swarm Optimization , 2014, IEEE Transactions on Industrial Informatics.

[44]  X. X. Zhou,et al.  Fast $\lambda$ -Iteration Method for Economic Dispatch With Prohibited Operating Zones , 2014, IEEE Transactions on Power Systems.

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

[46]  P. K. Chattopadhyay,et al.  Biogeography-Based Optimization for Different Economic Load Dispatch Problems , 2010, IEEE Transactions on Power Systems.

[47]  Malabika Basu,et al.  Improved differential evolution for economic dispatch , 2014 .

[48]  Frank L. Lewis,et al.  Distributed Consensus-Based Economic Dispatch With Transmission Losses , 2014, IEEE Transactions on Power Systems.

[49]  Umberto Amato,et al.  A Hybrid With Cross-Entropy Method and Sequential Quadratic Programming to Solve Economic Load Dispatch Problem , 2015, IEEE Systems Journal.

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

[51]  Xin-She Yang,et al.  Economic dispatch using chaotic bat algorithm , 2016 .

[52]  A. Immanuel Selvakumar,et al.  Optimization using civilized swarm: Solution to economic dispatch with multiple minima , 2009 .

[53]  H. Iba,et al.  Differential evolution for economic load dispatch problems , 2008 .

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

[55]  Frank L. Lewis,et al.  A Distributed Auction-Based Algorithm for the Nonconvex Economic Dispatch Problem , 2014, IEEE Transactions on Industrial Informatics.

[56]  Aniruddha Bhattacharya,et al.  Chemical reaction optimisation for different economic dispatch problems , 2014 .

[57]  Provas Kumar Roy,et al.  Solution of economic load dispatch using hybrid chemical reaction optimization approach , 2014, Appl. Soft Comput..