Hybrid differential evolution with biogeography-based optimization algorithm for solution of economic emission load dispatch problems

Abstract This paper presents combination of differential evolution (DE) and biogeography-based optimization (BBO) algorithm to solve complex economic emission load dispatch (EELD) problems of thermal generators of power systems. Emission substances like NO X , SO X , CO X , Power demand equality constraint and operating limit constraint are considered here. Differential evolution (DE) is one of the very fast and robust, accurate evolutionary algorithms for global optimization and solution of EELD problems. Biogeography-based optimization (BBO) is another new biogeography inspired algorithm. Biogeography deals with the geographical distribution of different biological species. This algorithm searches for the global optimum mainly through two steps: migration and mutation. In this paper combination of DE and BBO (DE/BBO) is proposed to accelerate the convergence speed of both the algorithm and to improve solution quality. To show the advantages of the proposed algorithm, it has been applied for solving multi-objective EELD problems in a 3-generator system with NO X and SO X emission, in a 6-generators system considering NO X emission, in a 6-generator system addressing both valve-point loading and NO X emission. The current proposal is found better in terms of quality of the compromising and individual solution obtained.

[1]  Mohamed E. El-Hawary,et al.  Emission-Economic Dispatch using a Novel Constraint Handling Particle Swarm Optimization Strategy , 2006, 2006 Canadian Conference on Electrical and Computer Engineering.

[2]  A. T. Johns,et al.  Environmental/economic dispatch using fuzzy logic controlled genetic algorithms , 1997 .

[3]  T. Thakur,et al.  A Particle Swarm Optimization Solution to NO2 and SO2 Emissions for Environmentally Constrained Economic Dispatch Problem , 2006, 2006 IEEE/PES Transmission & Distribution Conference and Exposition: Latin America.

[4]  Wenyin Gong,et al.  DE/BBO: a hybrid differential evolution with biogeography-based optimization for global numerical optimization , 2010, Soft Comput..

[5]  H.C.S. Rughooputh,et al.  Environmental/economic dispatch of thermal units using an elitist multiobjective evolutionary algorithm , 2003, IEEE International Conference on Industrial Technology, 2003.

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

[7]  Dan Simon,et al.  Markov Models for Biogeography-Based Optimization , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[8]  M. A. Abido.  Environmental/economic power dispatch using multiobjective evolutionary algorithms , 2003 .

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

[10]  Dan Simon,et al.  Population distributions in biogeography-based optimization algorithms with elitism , 2009, 2009 IEEE International Conference on Systems, Man and Cybernetics.

[11]  A. C. Liew,et al.  Dynamic-security-constrained multiobjective generation dispatch of longitudinally interconnected power systems using bicriterion global optimization , 1996 .

[12]  P. K. Chattopadhyay,et al.  Solving complex economic load dispatch problems using biogeography-based optimization , 2010, Expert Syst. Appl..

[13]  J. Nanda,et al.  ECONOMIC-EMISSION LOAD DISPHTCH THROUGH GOAL PROGRAMMING TECHNIIJUES , 1988 .

[14]  Kalyanmoy Deb,et al.  A Fast Elitist Non-dominated Sorting Genetic Algorithm for Multi-objective Optimisation: NSGA-II , 2000, PPSN.

[15]  Halis Altun,et al.  Environmentally constrained economic dispatch via a genetic algorithm with arithmetic crossover , 2002, IEEE AFRICON. 6th Africon Conference in Africa,.

[16]  M. A. Abido,et al.  A niched Pareto genetic algorithm for multiobjective environmental/economic dispatch , 2003 .

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

[18]  G. P. Granelli,et al.  Emission constrained dynamic dispatch , 1992 .

[19]  Dan Simon,et al.  Biogeography-Based Optimization , 2022 .

[20]  H. Sasaki,et al.  Multiobjective optimal generation dispatch based on probability security criteria , 1988 .

[21]  Ryuichi Yokoyama,et al.  Environmental marginal cost evaluation by non-inferiority surface (power systems) , 1990 .

[22]  D. P. Kothari,et al.  Stochastic economic emission load dispatch , 1993 .

[23]  R. Storn,et al.  Differential Evolution - A simple and efficient adaptive scheme for global optimization over continuous spaces , 2004 .