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1998 New Zealand Mathematics Colloquium
July 6-9, 1998
Victoria University of Wellington
Wellington, New Zealand

Organizers
Peter Donelan, Chris Atkin, John Harper, Philip Rhodes-Robinson, Jim Neyland, Geoff Whittle, Steve White, Vladimir Pestov, Tom Crosby

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Ferroresonance - A non-linear phenomenon in power systems
by
Alona Ben-Tal
University of Auckland
Coauthors: Vivien Kirk, Graeme C. Wake

Ferroresonance is a harmful phenomenon found in power systems where over-voltages, over-currents and frequencies different than the frequency of the electric source can be generated. The physical system of interest has been modelled by seven non-linear, non-autonomous, stiff ordinary differential equations. The model has then been investigated using non-linear dynamics techniques and numerical methods. In this talk we will focus on an interesting dynamical behaviour, so called "pseudo periodic" solutions, and show recent results.

Date received: June 3, 1998


Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabd-28.