Niching genetic algorithms for optimization in electromagnetics. II. Shape optimization of electrodes using the CSM

For pt.I see ibid., vol.34, no.5, pp.2984-7 (1998). In this paper, we present a new approach for automatic design of electrodes. The investigated method consists in identifying an optimal shape from an optimal equipotential resulting from a system of point charges. The electric field and potential are computed using the point charge simulation method. Niching genetic algorithms and constrained optimization techniques are applied to the electrode benchmark in order to find multiple optimal profiles.

[1]  Carsten Trinitis,et al.  Optimization of HV electrode systems by neural networks using a new learning method , 1996 .

[2]  João A. Vasconcelos,et al.  Design optimization in electrostatic field analysis using the BEM and the augmented Lagrangian method , 1994 .

[3]  Fabrizio Dughiero,et al.  Optimization of the Loney's solenoid through quasi-analytical strategies: a benchmark problem reconsidered , 1997 .

[4]  Samir W. Mahfoud.  Niching methods for genetic algorithms , 1996 .

[5]  G. F. Uler,et al.  Design optimization of electrical machines using genetic algorithms , 1995 .

[6]  Michael J. Shaw,et al.  Genetic algorithms with dynamic niche sharing for multimodal function optimization , 1996, Proceedings of IEEE International Conference on Evolutionary Computation.

[7]  Hans-Paul Schwefel,et al.  Evolution and optimum seeking , 1995, Sixth-generation computer technology series.

[8]  Alain Pétrowski,et al.  A clearing procedure as a niching method for genetic algorithms , 1996, Proceedings of IEEE International Conference on Evolutionary Computation.

[9]  H. Singer,et al.  A Charge Simulation Method for the Calculation of High Voltage Fields , 1974 .

[10]  João A. Vasconcelos,et al.  Simulated annealing coupled with the tabu search method for continuum optimization in electromagnetics , 1996 .

[11]  Bruno Sareni,et al.  Genetic Algorithms for Optimization in Electromagnetics I. Fundamentals , 1998 .

[12]  Laurent Krähenbühl,et al.  Genetic algorithm coupled with a deterministic method for optimization in electromagnetics , 1997 .

[13]  M. Repetto,et al.  Multiobjective optimization in magnetostatics: a proposal for benchmark problems , 1996 .

[14]  J. Chun,et al.  Shape optimization of electromagnetic devices using immune algorithm , 1997 .

[15]  Georges R. Harik,et al.  Finding Multimodal Solutions Using Restricted Tournament Selection , 1995, ICGA.

[16]  Zbigniew Michalewicz,et al.  Evolutionary algorithms for constrained engineering problems , 1996, Computers & Industrial Engineering.