A review on accuracy issues related to solving the non-convex economic dispatch problem

Abstract This paper presents a review on common sources of inaccuracy related to solving the non-convex economic dispatch problem. The inaccuracies originate from using invalidated cost function, inaccurate calculation of transmission losses, violating equality or inequality constraints, comparing the performance of different algorithms based on different modeling equations, and comparing the results with different variants of benchmark systems. Numerous observations of unintended inaccuracies reported in previous published research work are used to illustrate the each argument; however, only few variants of benchmark test systems were sufficient to demonstrate and explain the existence of inaccuracies. The observed inaccuracies presented in this paper are explained, and the corresponding accurate results are presented to be used as standards in the future research.

[1]  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 .

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

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

[4]  Tomonobu Senjyu,et al.  Solving economic load dispatch problem with valve-point effects using a hybrid quantum mechanics inspired particle swarm optimisation , 2011 .

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

[6]  Nima Amjady,et al.  Solution of non-convex economic dispatch problem considering valve loading effect by a new Modified Differential Evolution algorithm , 2010 .

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

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

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

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

[11]  Victor O. K. Li,et al.  A social spider algorithm for solving the non-convex economic load dispatch problem , 2015, Neurocomputing.

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

[13]  Nima Amjady,et al.  Solution of nonconvex and nonsmooth economic dispatch by a new Adaptive Real Coded Genetic Algorithm , 2010, Expert Syst. Appl..

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

[15]  K S Swarup,et al.  A Hybrid Interior Point Assisted Differential Evolution Algorithm for Economic Dispatch , 2011, IEEE Transactions on Power Systems.

[16]  H. Shayeghi,et al.  A modified artificial bee colony based on chaos theory for solving non-convex emission/economic dispatch , 2014 .

[17]  Samir Sayah,et al.  A hybrid differential evolution algorithm based on particle swarm optimization for nonconvex economic dispatch problems , 2013, Appl. Soft Comput..

[18]  Malabika Basu,et al.  Modified particle swarm optimization for nonconvex economic dispatch problems , 2015 .

[19]  Manjaree Pandit Discussion of “Hybrid Differential Evolution With Biogeography-Based Optimization for Solution of Economic Load Dispatch” , 2012 .

[20]  Alfredo Vaccaro,et al.  Corrigendum to "Solution of economic dispatch problems by seeker optimization algorithm" by Binod Shaw et al. "Expert Systems with Applications", 39 January (2012) 508-519 , 2012, Expert Syst. Appl..

[21]  Abbas Rabiee,et al.  Iteration PSO with time varying acceleration coefficients for solving non-convex economic dispatch problems , 2012 .

[22]  Leandro dos Santos Coelho,et al.  An improved harmony search algorithm for power economic load dispatch , 2009 .

[23]  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.

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

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

[26]  A. Immanuel Selvakumar,et al.  Anti-predatory particle swarm optimization : Solution to nonconvex economic dispatch problems , 2008 .

[27]  P. Subbaraj,et al.  Enhancement of Self-adaptive real-coded genetic algorithm using Taguchi method for Economic dispatch problem , 2011, Appl. Soft Comput..

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

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

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

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

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

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

[34]  Chao-Lung Chiang,et al.  Improved genetic algorithm for power economic dispatch of units with valve-point effects and multiple fuels , 2005 .

[35]  Kedar Nath Das,et al.  A novel hybrid optimizer for solving Economic Load Dispatch problem , 2016 .

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

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

[38]  Sakti Prasad Ghoshal,et al.  Seeker optimisation algorithm: application to the solution of economic load dispatch problems , 2011 .

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

[40]  Manjaree Pandit,et al.  Particle swarm optimization with time varying acceleration coefficients for non-convex economic power dispatch , 2009 .

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

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

[43]  Bijaya Ketan Panigrahi,et al.  Bacterial foraging optimisation: Nelder-Mead hybrid algorithm for economic load dispatch , 2008 .

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

[45]  Ajit Kumar Barisal,et al.  Dynamic search space squeezing strategy based intelligent algorithm solutions to economic dispatch with multiple fuels , 2013 .

[46]  K. Vaisakh,et al.  Discussion of "Bhattacharya, A., & Chattopadhyay, P. K. (2010). Solving complex economic load dispatch problems using biogeography-based optimization. Expert Systems with Applications, 37(5), 3605-3615" , 2012, Expert Syst. Appl..

[47]  Ling Wang,et al.  An effective differential harmony search algorithm for the solving non-convex economic load dispatch problems , 2013 .

[48]  Provas Kumar Roy,et al.  Grey wolf optimization applied to economic load dispatch problems , 2016 .

[49]  Leandro dos Santos Coelho,et al.  Differential evolution based on truncated Lévy-type flights and population diversity measure to solve economic load dispatch problems , 2014 .

[50]  Weerakorn Ongsakul,et al.  Cuckoo search algorithm for non-convex economic dispatch , 2013 .

[51]  Malabika Basu,et al.  Kinetic gas molecule optimization for nonconvex economic dispatch problem , 2016 .

[52]  Carlos A. Coello Coello,et al.  An immune algorithm with power redistribution for solving economic dispatch problems , 2015, Inf. Sci..

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

[54]  E. S. Ali,et al.  Implementation of flower pollination algorithm for solving economic load dispatch and combined economic emission dispatch problems in power systems , 2016 .

[55]  Mahdi Taghizadeh,et al.  Colonial competitive differential evolution: An experimental study for optimal economic load dispatch , 2016, Appl. Soft Comput..

[56]  Vo Ngoc Dieu,et al.  The application of one rank cuckoo search algorithm for solving economic load dispatch problems , 2015, Appl. Soft Comput..

[57]  Hadi Saadat,et al.  Power System Analysis , 1998 .

[58]  S. Khamsawang,et al.  DSPSO–TSA for economic dispatch problem with nonsmooth and noncontinuous cost functions , 2010 .

[59]  Leandro dos Santos Coelho,et al.  Improved differential evolution algorithms for handling economic dispatch optimization with generator constraints , 2007 .

[60]  K. Vaisakh,et al.  MSFLA/GHS/SFLA-GHS/SDE algorithms for economic dispatch problem considering multiple fuels and valve point loadings , 2013, Appl. Soft Comput..