Robust Design of Power System Stabilizers Using Adaptive Genetic Algorithms

Genetic algorithms (GAs) have been widely used for global optimization problems. The GA performance depends highly on the choice of the search space for each parameter to be optimized. Often, this choice is a problem-based experience. The search space being a set of potential solutions may contain the global optimum and/or other local optimums. A bad choice of this search space results in poor solutions. In this paper, our approach consists in extending the search space boundaries during the GA optimization, only when it is required. This leads to more diversification of GA population by new solutions that were not available with fixed search space boundaries. So, these dynamic search spaces can improve the GA optimization performances. The proposed approach is applied to power system stabilizer optimization for multimachine power system (16-generator and 68-bus). The obtained results are evaluated and compared with those obtained by ordinary GAs. Eigenvalue analysis and nonlinear system simulation results show the effectiveness of the proposed approach to damp out the electromechanical oscillation and enhance the global system stability.




References:
[1] P. Kundur, Power System Stability and Control. The EPRI Power
System Engineering Series, McGraw-Hill. Inc., 1994.
[2] E.V. Larsen, and D.A. Swann, "Applying power system stabilizers,"
IEEE Trans. Power App. Sys., vol. 100, no. 6, pp. 3017-3046, 1981.
[3] Y.L. Abdel-Magid, and M.A. Abido, "Optimal Multiobjective Design of
Robust Power System Stabilizers Using Genetic Algorithms," IEEE
Trans. Power System, vol. 18. n┬░. 3, pp. 1125-1 132, Aug. 2003.
[4] K. Hongesombut, and Y. Mitani "Implementation of Advanced Genetic
Algorithm to Modern Power System Stabilization Control," IEEE PES,
Power Sys, vol. 2, pp.1050-1055, Oct. 2004.
[5] K. Hongesombut, S. Dechanupaprittha, Y. Mitani, and I. Ngamroo,
"Robust power system stabilizer tuning based on multiobjective design
using hierarchical and parallel micro genetic algorithm," in Proc. 15th
Power Systems Computation Conference: PSCC, Liege, Aug. 2005.
[6] K. Hongesombut, Y. Mitani, and K. Tsuji, "Power System Stabilizer
Tuning in Multimachine Power System Based on a Minimum Phase
Control Loop Method and Genetic Algorithm," in Proc. 14th Power
Systems Computation Conference: PSCC, pp. 1-7, Sevilla, Jun. 2002.
[7] S. Panda, and N. Prasad Padhy, "Power system with PSSs and FACTS
Controller: Modelling, Simulation and Simultaneous Tuning Employing
Genetic Algorithm," International Journal of Electrical, Computer and
Systems Engineering, vol.1, No. 1, pp.9-18, 2007.
[8] F. Rashidi, and M. Rashidi, "Tuning of Power System Stabilizers via
Genetic Algorithm for Stabilization of Power Systems," in Proc.
Innovations in Applied Artificial Intelligence, pp. 1210-1219, Berlin
2004.
[9] T. Bäck, "Self-adaptation in genetic algorithms," in Proc. of the first
European Conference on Artificial Life, pp. 263-271, Cambridge, 1992.
[10] P.J. Angeline, "Adaptive and Self-Adaptive Evolutionary
Computations," in Computational Intelligence: A Dynamic Systems
Perspective, pp. 152-163, IEEE Press, 1995.
[11] É. Pellerin, L. Pigeon, and S. Delisle, "Self-Adaptive Parameters in
Genetic Algorithms," Data Mining and Knowledge Discovery: Theory,
Tools, and Technology VI, USA, vol. 5433, pp. 53-64, 12-16 Apr. 2004.
[12] E. Alba, and J.M. Troya, "A survey of parallel distributed genetic
algorithms," Complexity, vol. 4, no. 4, pp. 31-52, 1999.
[13] M. Tomassini, "Parallel and Distributed Evolutionary Algorithms: A
Review," in. Evolutionary Algorithms in Engineering and Computer
Science, pp. 113-133, J. Wiley and Sons, Chichester, 1999.
[14] G. Rogers, Power System Oscillations, Boston, Kluwer Academic
Publishers. 2000.
[15] H. Alkhatib, J. Duveau, A. Choucha, A. Hellal, and S. Arif,
"Optimisation Globale de la Performance des Stabilisateurs de Puissance
par Algorithmes Génétiques," in Proc. 5th International Conference on
Electrical Engineering CEE-2008, Batna, 27-29 Oct. 2008.
[16] A. Choucha, H.Alkhatib, J. Duveau, A. Hellal, and S. Arif,
"Multiobjective GA to Simultaneous Coordinated Tuning PSS and
Location for Multimachine Power Systems," in Proc. XVIII
International Conference on Electrical Machines ICEM-08, Vilamoura,
6-9 Sep. 2008.