A modified harmony search method for environmental/economic load dispatch of real-world power systems

Abstract Economic load dispatch (ELD) problem is one of the basic and important optimization problems in a power system. However, considering practical constraints of real-world power systems such as ramp rate limits, prohibited operating zones, valve loading effects, multi-fuel options, spinning reserve and transmission system losses in ELD problem makes it a non-convex optimization problem, which is a challenging one and cannot be solved by traditional methods. Moreover, considering environmental issues, results in combined economic and emission load dispatch (CEELD) problem that is a multiobjective optimization model with two non-commensurable and contradictory objectives. In this paper, a modified harmony search algorithm (MHSA) proposed and applied to solve ELD and CEELD problem considering the abovementioned constraints. In the proposed MHSA, a new improvising method based on wavelet mutation together with a new memory consideration scheme based on the roulette wheel mechanism are proposed which improves the accuracy, convergence speed, and robustness of the classical HSA. Performance of the proposed algorithm is investigated by applying it to solve various test systems having non-convex solution spaces. To Show the effectiveness of the proposed method, obtained results compared with classical harmony search algorithm (HSA) and some of the most recently published papers in the area.

[1]  L. Papageorgiou,et al.  A mixed integer quadratic programming formulation for the economic dispatch of generators with prohibited operating zones , 2007 .

[2]  Manjaree Pandit,et al.  Hybrid neuro-fuzzy system for power generation control with environmental constraints , 2008 .

[3]  K. W. Edwin,et al.  Integer Programming Approach to the Problem of Optimal Unit Commitment with Probabilistic Reserve Determination , 1978, IEEE Transactions on Power Apparatus and Systems.

[4]  R. Hahn,et al.  Assessing the Influence of Power Pools on Emission Constrained Economic Dispatch , 1986, IEEE Power Engineering Review.

[5]  Taher Niknam,et al.  A novel hybrid particle swarm optimization for economic dispatch with valve-point loading effects , 2011 .

[6]  K. S. Swarup,et al.  Environmental/economic dispatch using multi-objective harmony search algorithm , 2011 .

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

[8]  K. Lee,et al.  A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice , 2005 .

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

[12]  Kwang Y. Lee,et al.  Economic load dispatch for piecewise quadratic cost function using Hopfield neural network , 1993 .

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

[14]  A. Y. Abdelaziz,et al.  A hybrid HNN-QP approach for dynamic economic dispatch problem , 2008 .

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

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

[17]  Chun-Lung Chen,et al.  Non-convex economic dispatch: A direct search approach , 2007 .

[18]  P. S. Kannan,et al.  Penalty parameter-less constraint handling scheme based evolutionary algorithm solutions to economic dispatch , 2008 .

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

[20]  Yong Zhang,et al.  Environmental/economic power dispatch using a hybrid multi-objective optimization algorithm , 2010 .

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

[22]  Mousumi Basu,et al.  Economic environmental dispatch using multi-objective differential evolution , 2011, Appl. Soft Comput..

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

[24]  Serdar Özyön,et al.  Charged system search algorithm for emission constrained economic power dispatch problem , 2012 .

[25]  Taher Niknam,et al.  Multiobjective economic/emission dispatch by multiobjective θ-particle swarm optimisation , 2012 .

[26]  Yun-Chia Liang,et al.  A normalization method for solving the combined economic and emission dispatch problem with meta-heuristic algorithms , 2014 .

[27]  P. G. Lowery,et al.  Generating Unit Commitment by Dynamic Programming , 1966 .

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

[29]  Serdar Özyön,et al.  Incremental artificial bee colony with local search to economic dispatch problem with ramp rate limits and prohibited operating zones , 2013 .

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

[31]  R. Balamurugan,et al.  Hybrid integer coded differential evolution – dynamic programming approach for economic load dispatch with multiple fuel options , 2008 .

[32]  Leandro dos Santos Coelho,et al.  An efficient cultural self-organizing migrating strategy for economic dispatch optimization with valve-point effect , 2010 .

[33]  G. N. Tiwari,et al.  Simplified method of sizing and life cycle cost assessment of building integrated photovoltaic system , 2009 .

[34]  Lixiang Li,et al.  A multi-objective chaotic particle swarm optimization for environmental/economic dispatch , 2009 .

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

[36]  K. S. Swarup,et al.  Multi Objective Harmony Search Algorithm For Optimal Power Flow , 2010 .

[37]  P. Aravindhababu,et al.  Biogeography based optimization technique for best compromise solution of economic emission dispatch , 2012, Swarm Evol. Comput..

[38]  N. S. Babu,et al.  Analytical solution for combined economic and emissions dispatch , 2008 .

[39]  Ying Wang,et al.  Environmental/economic dispatch problem of power system by using an enhanced multi-objective differential evolution algorithm , 2011 .

[40]  Bijay Ketan Panigrahi,et al.  Multiobjective bacteria foraging algorithm for electrical load dispatch problem , 2011 .

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

[42]  A. A. El-Keib,et al.  Economic dispatch in view of the Clean Air Act of 1990 , 1994 .

[43]  Yaonan Wang,et al.  Environmental/economic power dispatch problem using multi-objective differential evolution algorithm , 2010 .

[44]  N. Amjady,et al.  Nonconvex Economic Dispatch With AC Constraints by a New Real Coded Genetic Algorithm , 2009, IEEE Transactions on Power Systems.

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

[46]  A. Breipohl,et al.  Reserve constrained economic dispatch with prohibited operating zones , 1993 .

[47]  Vahid Vahidinasab,et al.  Joint economic and emission dispatch in energy markets: A multiobjective mathematical programming approach , 2010 .

[48]  M. Jaberipour,et al.  Harmony search algorithm for solving combined heat and power economic dispatch problems , 2011 .

[49]  M. Kalantar,et al.  Optimal reactive power dispatch based on harmony search algorithm , 2011 .

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

[51]  Cheng-Chien Kuo,et al.  A novel string structure for economic dispatch problems with practical constraints , 2008 .

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

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

[54]  Weerakorn Ongsakul,et al.  STOCHASTIC WEIGHT TRADE-OFF PARTICLE SWARM OPTIMIZATION FOR NONCONVEX ECONOMIC DISPATCH , 2013 .

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

[56]  Manoj Kumar Tiwari,et al.  Multiobjective Particle Swarm Algorithm With Fuzzy Clustering for Electrical Power Dispatch , 2008, IEEE Transactions on Evolutionary Computation.

[57]  J. S. Heslin,et al.  A multiobjective production costing model for analyzing emissions dispatching and fuel switching (of power stations) , 1989 .

[58]  Chih-Wen Liu,et al.  Non-smooth/non-convex economic dispatch by a novel hybrid differential evolution algorithm , 2007 .

[59]  M. Fesanghary,et al.  A novel meta-heuristic optimization methodology for solving various types of economic dispatch problem , 2009 .

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

[61]  M. Fesanghary,et al.  An improved harmony search algorithm for solving optimization problems , 2007, Appl. Math. Comput..