Economic Dispatch Problems Using Backtracking Search Optimization

The purpose of this article is to present a backtracking search optimization technique (BSA) to determinethefeasibleoptimumsolutionoftheeconomicloaddispatch(ELD)problemsinvolving differentrealisticequalityandinequalityconstraints,suchaspowerbalance,rampratelimits,and prohibitedoperatingzoneconstraints.Effectsofvalve-pointloading,multi-fueloptionoflarge-scale thermalplants,systemtransmissionlossarealsotakenintoconsiderationformorerealisticapplication. Twoeffectiveoperations,mutationandcrossover,helpBSAalgorithmstofindtheglobalsolution fordifferentoptimizationproblems.BSAhasthecapabilitytodealwithmultimodalproblemsdue toitspowerfulexplorationandexploitationcapability.BSAisfreefromsensitiveparametercontrol operations.Simulationresultssetuptheproposedapproachinabetterstagecomparedtoseveralother existingoptimizationtechniquesintermsqualityofsolutionandcomputationalefficiency.Results alsorevealtherobustnessoftheproposedmethodology. KEywORDS Backtracking Search Optimization, Economic Load Dispatch, Prohibited Operating Zone, Ramp Rate Limits, Valve-Point Loading

[1]  Bin Li,et al.  Estimation of distribution and differential evolution cooperation for large scale economic load dispatch optimization of power systems , 2010, Inf. Sci..

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

[3]  Chandan Kumar Chanda,et al.  A Comparative Study of Improved Teaching Learning Based Optimization Technique on Economic Load Dispatch Problem with Generator Constraints , 2016, Int. J. Energy Optim. Eng..

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

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

[6]  Elias Kyriakides,et al.  Efficient hybrid optimization solution for the economic dispatch with nonsmooth cost function , 2009, 2009 IEEE Bucharest PowerTech.

[7]  Tharam S. Dillon,et al.  Experimental study of a new hybrid PSO with mutation for economic dispatch with non-smooth cost function , 2010 .

[8]  Aniruddha Bhattacharya,et al.  Chemical reaction optimization applied in economic dispatch problems , 2014, 2014 First International Conference on Automation, Control, Energy and Systems (ACES).

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

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

[11]  Pinar Çivicioglu,et al.  Backtracking Search Optimization Algorithm for numerical optimization problems , 2013, Appl. Math. Comput..

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

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

[14]  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.

[15]  J. A. Marmolejo,et al.  Design of a Distribution Network Using Primal-Dual Decomposition , 2016 .

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

[17]  Yunhe Hou,et al.  Generalized ant colony optimization for economic dispatch of power systems , 2002, Proceedings. International Conference on Power System Technology.

[18]  S. Fanshel,et al.  Economic Power Generation Using Linear Programming , 1964 .

[19]  A. A. El-Keib,et al.  Environmentally constrained economic dispatch using the LaGrangian relaxation method , 1994 .

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

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

[22]  M. Sydulu,et al.  A directional search genetic algorithm to the economic dispatch problem with prohibited operating zones , 2008, 2008 IEEE/PES Transmission and Distribution Conference and Exposition.

[23]  Ji-Pyng Chiou,et al.  Variable scaling hybrid differential evolution for large-scale economic dispatch problems , 2007 .

[24]  Jan K. Sykulski,et al.  A hybrid GA–PS–SQP method to solve power system valve-point economic dispatch problems , 2010 .

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

[26]  G. Caicedo,et al.  Methodology for multiarea state estimation solved by a decomposition method , 2015 .

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

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

[29]  L. Coelho,et al.  Solving non-smooth economic dispatch by a new combination of continuous GRASP algorithm and differential evolution , 2017 .

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

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

[32]  Ebrahim Babaei,et al.  ECONOMIC LOAD DISPATCH USING ?-PSO , 2013 .

[33]  Aniruddha Bhattacharya,et al.  A Modern Approach to Solve of Economic Load Dispatch using Group Leader Optimization Technique , 2017, Int. J. Energy Optim. Eng..

[34]  J. A. Marmolejo,et al.  Fat Tail Model for Simulating Test Systems in Multiperiod Unit Commitment , 2015 .

[35]  J.G. Vlachogiannis,et al.  Economic Load Dispatch—A Comparative Study on Heuristic Optimization Techniques With an Improved Coordinated Aggregation-Based PSO , 2009, IEEE Transactions on Power Systems.

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

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

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

[39]  Jonás Velasco,et al.  An adaptive random search for short term generation scheduling with network constraints , 2017, PloS one.

[40]  Aniruddha Bhattacharya,et al.  Teaching Learning Based Optimization for Different Economic Dispatch Problems , 2014 .

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

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

[43]  Weerakorn Ongsakul,et al.  A New Improved Particle Swarm Optimization for Solving Nonconvex Economic Dispatch Problems , 2013, Int. J. Energy Optim. Eng..

[44]  Aboelsood Zidan,et al.  A new rooted tree optimization algorithm for economic dispatch with valve-point effect , 2016 .

[45]  Hesham K. Alfares,et al.  Economic Load Dispatch Using Linear Programming: A Comparative Study , 2016 .

[46]  Manoj Kumar Tiwari,et al.  A clonal algorithm to solve economic load dispatch , 2007 .