Spiral Optimization Algorithm for solving Combined Economic and Emission Dispatch

Abstract The Spiral Optimization Algorithm (SOA) is an optimization technique developed recently (2011) by K. Tamura and K. Yasuda at Tokyo Metropolitan University-Japan. SOA is a metaheuristic based on an analogy of spiral phenomena in nature and it is simple in concept, few in parameters and easy in implementation. In this paper, SOA is proposed for solving the Combined Economic and Emission Dispatch (CEED) problem. It is aimed, in the CEED problem, that scheduling of generators should operate with both minimum fuel costs and emission levels, simultaneously, while satisfying the load demand and operational constraints. The CEED problem is formulated as a multi-objective problem by considering the fuel cost and emission objectives of generating units. The bi-objective optimization problem is converted into a single objective function using a price penalty factor. The proposed algorithm has been implemented on three test systems with 3, 6, and 40 generating units, with different constraints and various cost curve nature. In order to see the effectiveness of the proposed algorithm, its results are compared to those reported in the recent literature. Those results are quite encouraging showing the good applicability of SOA for CEED problem.

[1]  P. K. Chattopadhyay,et al.  Solving economic emission load dispatch problems using hybrid differential evolution , 2011, Appl. Soft Comput..

[2]  Abdelghani Bekrar,et al.  Efficient hybrid optimization approach for emission constrained economic dispatch with nonsmooth cost curves , 2014 .

[3]  Hadi Hamedi,et al.  Solving the combined economic load and emission dispatch problems using new heuristic algorithm , 2013 .

[4]  Sakti Prasad Ghoshal,et al.  Solution of combined economic and emission dispatch problems of power systems by an opposition-based harmony search algorithm , 2012 .

[5]  P. K. Chattopadhyay,et al.  Application of Biogeography-based Optimization for Solving Multi-objective Economic Emission Load Dispatch Problems , 2010 .

[6]  G. Ravi,et al.  Non-convex Economic Dispatch with Heuristic Load Patterns using Harmony Search Algorithm , 2011 .

[7]  Tianjun Liao,et al.  Artificial bee colony algorithm with dynamic population size to combined economic and emission dispatch problem , 2014 .

[8]  N. Kumarappan,et al.  ANN approach applied to combined economic and emission dispatch for large-scale system , 2002, Proceedings of the 2002 International Joint Conference on Neural Networks. IJCNN'02 (Cat. No.02CH37290).

[9]  Y. H. Song,et al.  Large-Scale Economic Dispatch by Artificial Ant Colony Search Algorithms , 1999 .

[10]  H.C.S. Rughooputh,et al.  Elitist multiobjective evolutionary algorithm for environmental/economic dispatch , 2003, The 2003 Congress on Evolutionary Computation, 2003. CEC '03..

[11]  Keiichiro Yasuda,et al.  Primary study of spiral dynamics inspired optimization , 2011 .

[12]  D. P. Kothari,et al.  Comparison of AI techniques to solve combined economic emission dispatch problem with line flow constraints , 2010 .

[13]  Prakash Kumar Hota,et al.  Economic emission load dispatch through fuzzy based bacterial foraging algorithm , 2010 .

[14]  K. Busawon,et al.  Combined economic emission dispatch problem using chaotic self adaptive PSO , 2013, 2013 International Conference on Power, Energy and Control (ICPEC).

[15]  S. Baskar,et al.  NSGA-II Technique for Multi-objective Generation Dispatch of Thermal Generators with Nonsmooth Fuel Cost Functions , 2014 .

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

[17]  Hong-Tzer Yang,et al.  Bi-objective power dispatch using fuzzy satisfaction-maximizing decision approach , 1997 .

[18]  N. Phanthuna V. Phupha N. Rugthaicharoencheep,et al.  Economic Load Dispatch with Daily Load Patterns and Generator Constraints by Particle Swarm Optimization , 2012 .

[19]  S. A. Al-Baiyat,et al.  Economic load dispatch multiobjective optimization procedures using linear programming techniques , 1995 .

[20]  Ranjit Roy,et al.  A craziness based differential evolution algorithm for thermal-wind generation dispatch considering emission and economy with valve-point effect , 2011, 2011 10th International Conference on Environment and Electrical Engineering.

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

[22]  Kwang Y. Lee,et al.  Application of Multi Objective Evolutionary Programming to Combined Economic Emission Dispatch Problem , 2007, 2007 International Joint Conference on Neural Networks.

[23]  Sishaj P. Simon,et al.  Maclaurin series-based Lagrangian method for economic dispatch with valve-point effect , 2009 .

[24]  D. B. Das,et al.  New multi-objective stochastic search technique for economic load dispatch , 1998 .

[25]  S. Baskar,et al.  Application of modified NSGA-II algorithm to Combined Economic and Emission Dispatch problem , 2011 .

[26]  Keiichiro Yasuda,et al.  Spiral Dynamics Inspired Optimization , 2011, J. Adv. Comput. Intell. Intell. Informatics.

[27]  J. W. Lamont,et al.  Emission dispatch models and algorithms for the 1990s , 1995 .

[28]  Y. Wallach,et al.  Calculations and Programs for Power System Networks , 1986 .

[29]  Mohammad Ali Abido,et al.  Multiobjective evolutionary algorithms for electric power dispatch problem , 2006, IEEE Transactions on Evolutionary Computation.

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

[31]  S. Hemamalini,et al.  Emission constrained economic dispatch with valve-point effect using particle swarm optimization , 2008, TENCON 2008 - 2008 IEEE Region 10 Conference.

[32]  A. Belmadani,et al.  A Fast Harmony Search Algorithm for solving Economic Dispatch problem , 2010 .

[33]  Ugur Güvenc,et al.  Combined economic and emission dispatch solution using gravitational search algorithm , 2012, Sci. Iran..

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