Damping Controller Design Using Self-Adaptive DE

Abstract Differential Evolution (DE) is one of the most powerful stochastic real parameter, population-based optimization algorithms. It is similar to Genetic Algorithms (GAs), except that it uses differential mutation technique as the main operator to arrive at the best trial solution. The performance of DE is sensitive to the choice of the mutation and crossover strategies and their associated control parameters such as the amplification factor F and the crossover rate CR. Inappropriate choice of control parameter values may result in significant deterioration of the performance of the algorithm. In this paper, a self-adaptive DE is applied to design a controller for damping low frequency oscillations in a power system. In self-adaptive DE, the control parameters such as the mutation scale factor F and crossover rate CR are adapted as the population evolves. The performance of the proposed self-adaptive DE-PSS (jDE-PSS) is compared with that of the classical DE-PSS (CDE-PSS). Simulation results show that for damping low-frequency oscillations, jDE-PSS gives the best performance.

[1]  Arthur C. Sanderson,et al.  Adaptive Differential Evolution: A Robust Approach to Multimodal Problem Optimization , 2009 .

[2]  Glauco N. Taranto,et al.  Simultaneous tuning of power system damping controllers using genetic algorithms , 2000 .

[3]  A. Abraham,et al.  Simplex Differential Evolution , 2009 .

[4]  Jouni Lampinen,et al.  A Fuzzy Adaptive Differential Evolution Algorithm , 2005, Soft Comput..

[5]  Á. Nemcsics,et al.  Investigation of electrochemically etched GaAs (001) surface with the help of image processing , 2009 .

[6]  Amin Safari,et al.  Multimachine Power System Stabilizers Design Using PSO Algorithm , 2008 .

[7]  Rainer Storn,et al.  Differential Evolution-A simple evolution strategy for fast optimization , 1997 .

[8]  Shumeet Baluja,et al.  A Method for Integrating Genetic Search Based Function Optimization and Competitive Learning , 1994 .

[9]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[10]  Janez Brest,et al.  Self-Adapting Control Parameters in Differential Evolution: A Comparative Study on Numerical Benchmark Problems , 2006, IEEE Transactions on Evolutionary Computation.

[11]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .

[12]  Zbigniew Michalewicz,et al.  Genetic algorithms + data structures = evolution programs (3rd ed.) , 1996 .

[13]  A. Kai Qin,et al.  Self-adaptive differential evolution algorithm for numerical optimization , 2005, 2005 IEEE Congress on Evolutionary Computation.

[14]  D. E. Goldberg,et al.  Genetic Algorithms in Search , 1989 .

[15]  M. A. Abido,et al.  Simultaneous stabilization of multimachine power systems via genetic algorithms , 1999 .

[16]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[17]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[18]  D. E. Goldberg,et al.  Genetic Algorithms in Search, Optimization & Machine Learning , 1989 .