Multi-Objective Optimal Power Flow Using Differential Evolution

This paper presents a multi-objective differential-evolution-based approach to solve the optimal power flow (OPF) problem. The OPF problem has been treated as a true multi-objective constrained optimization problem. Different objective functions and operational constraints have been considered in the problem formulation. A clustering algorithm is applied to manage the size of the Pareto set. In addition, an algorithm based on fuzzy set theory is used to extract the best compromise solution. Simulation results on IEEE 30-bus and IEEE 118-bus standard test systems show the effectiveness of the proposed approach in solving true multi-objective OPF and also finding well-distributed Pareto-optimal solutions.

[1]  Y.J. Cao,et al.  A novel multi-objective genetic algorithm for economic power dispatch , 2004, 39th International Universities Power Engineering Conference, 2004. UPEC 2004..

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

[3]  Francisco D. Galiana,et al.  A survey of the optimal power flow literature , 1991 .

[4]  M. A. Abido.  Multiobjective particle swarm optimization for optimal power flow problem , 2008, 2008 12th International Middle-East Power System Conference.

[5]  M. A. Abido,et al.  An optimized fast voltage stability indicator , 1999, PowerTech Budapest 99. Abstract Records. (Cat. No.99EX376).

[6]  M. A. Abido.  Multiobjective optimal power flow using strength Pareto evolutionary algorithm , 2004, 39th International Universities Power Engineering Conference, 2004. UPEC 2004..

[7]  Cao Yijia,et al.  Multiple objective particle swarm optimization technique for economic load dispatch , 2005 .

[8]  R. Adapa,et al.  A review of selected optimal power flow literature to 1993. I. Nonlinear and quadratic programming approaches , 1999 .

[9]  M. Abido.  Multiobjective optimal VAR dispatch considering control variable adjustment costs , 2009 .

[10]  Mohammad Ali Abido,et al.  A novel multiobjective evolutionary algorithm for optimal reactive power dispatch problem , 2003, 10th IEEE International Conference on Electronics, Circuits and Systems, 2003. ICECS 2003. Proceedings of the 2003.

[11]  Lawrence Hasdorff,et al.  Economic Dispatch Using Quadratic Programming , 1973 .

[12]  N. Madavan.  Multiobjective optimization using a Pareto differential evolution approach , 2002, Proceedings of the 2002 Congress on Evolutionary Computation. CEC'02 (Cat. No.02TH8600).

[13]  R. Adapa,et al.  A review of selected optimal power flow literature to 1993. II. Newton, linear programming and interior point methods , 1999 .

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

[15]  M. A. Abido,et al.  Optimal power flow using particle swarm optimization , 2002 .

[16]  K. Lee,et al.  A United Approach to Optimal Real and Reactive Power Dispatch , 1985, IEEE Transactions on Power Apparatus and Systems.

[17]  K. S. Swarup,et al.  Solving multi-objective optimal power flow using differential evolution , 2008 .

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

[19]  B. Yegnanarayana,et al.  Genetic-algorithm-based optimal power flow for security enhancement , 2005 .

[20]  Rainer Storn,et al.  Minimizing the real functions of the ICEC'96 contest by differential evolution , 1996, Proceedings of IEEE International Conference on Evolutionary Computation.

[21]  Carlos A. Coello Coello,et al.  A Comprehensive Survey of Evolutionary-Based Multiobjective Optimization Techniques , 1999, Knowledge and Information Systems.

[22]  René Thomsen,et al.  A comparative study of differential evolution, particle swarm optimization, and evolutionary algorithms on numerical benchmark problems , 2004, Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753).

[23]  J.R. Cedeno-Maldonado,et al.  Differential evolution based economic environmental power dispatch , 2005, Proceedings of the 37th Annual North American Power Symposium, 2005..

[24]  Arthur C. Sanderson,et al.  Pareto-based multi-objective differential evolution , 2003, The 2003 Congress on Evolutionary Computation, 2003. CEC '03..

[25]  Peter J. Fleming,et al.  An Overview of Evolutionary Algorithms in Multiobjective Optimization , 1995, Evolutionary Computation.

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

[27]  I. Dobson,et al.  Voltage collapse in power systems , 1992, IEEE Circuits and Devices Magazine.

[28]  Ramesh C. Bansal,et al.  International Journal of Emerging Electric Power Systems Optimization Methods for Electric Power Systems : An Overview , 2011 .

[29]  Marco Laumanns,et al.  A Tutorial on Evolutionary Multiobjective Optimization , 2004, Metaheuristics for Multiobjective Optimisation.