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Boundary Crises, Fractal Basin Boundaries, and Electric Power Collapses by Sura H.C. Marcos; Sérgio R. Lopes; Ricardo L. Viana is a Physics and Astronomy article available to read on EtoBox.

What is Boundary Crises, Fractal Basin Boundaries, and Electric Power Collapses about?

Electric power systems are frequently nonlinear and, when faced with increasing power demands, may behave in unpredictable and rather irregular ways. We investigated the nonlinear dynamics of a single machine infinite bus power system model in order to study the appearance of coexistent periodic and chaotic attractors, characterizing multi-stable behavior. The corresponding basins of attraction present fractal boundaries, for which we have determined the uncertain fraction scaling in phase space. The bifurcation diagrams are studied with respect to variations of the mechanical power input and may lead to voltage collapse under certain circumstances, which we relate to a boundary crisis suffered by a chaotic attractor.

Who reads Boundary Crises, Fractal Basin Boundaries, and Electric Power Collapses?

Author

Sura H.C. Marcos; Sérgio R. Lopes; Ricardo L. Viana

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0960-0779)

Published

2003

Language

EN

Field

Physics and Astronomy (Physical Sciences)