A training laboratory about bifurcations and chaos in electrical power systems
An introductory laboratory about bifurcations and chaos in electrical power systems is proposed to students in final year of electrical engineering. They learn the basic principles of the related new theories on stability and realise simple circuits that exhibit puzzling effects like ferroresonance, subharmonics and chaos.
Get full access to this article
View all access options for this article.
References
1.
TravisI., and WeygandtC. N., ‘Subharmonics in circuits containing iron-cored reactors’, AIEE Trans., 57, No. 8, pp. 423–430 (August 1938)
2.
SbaiA., and KienyC., ‘Application des méthodes de Galerkine et des fonctions descriptives à l'étude de la ferrorésonance’, EDF, bulletin du DER, série B, No. 3, pp. 21–40(1986)
3.
JanssensN., ‘Determination of the risk of ferrorésonance in high voltage networks. Experimental verification on a 245 kV voltage transformer’, Laborelec, info 49–4 (June 1989)
4.
DolanE. J., GilliesD. A., and KimbarkE. W., ‘Ferrorésonance in a transformer switched with an EHV line’, IEEE Summer Meeting and International Symposium on High Power Testing, Portland, Oregon (July 1971)
5.
DeaneJ. H. B., and HamillD. C., ‘Instability, Subharmonics, and Chaos in Power Electronic Systems’, IEEE Trans. on Power Electronics, 3, No. 3 (July 1990)
6.
ThompsonJ. M. T., and StewartH. B., Nonlinear Dynamics and Chaos — Geometrical methods for engineers and scientists, John Wiley (1986)
7.
TrogerH., and SteindlA., Nonlinear Stability and Bifurcation Theory — An introduction for engineers and applied scientists, Springer-Verlag (1991)
8.
HakenH., and WunderlinA. ‘Le chaos déterministe’, La Recherche, 225, 21, pp. 1248–1255(1990)
9.
GleickJ., La Théorie du Chaos. Vers une nouvelle science, Flammarion (1991)