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Bifurcation, chaos, and voltage collapse in power systems

Journal Article · · Proceedings of the IEEE
OSTI ID:137106
 [1]; ; ;  [2]
  1. GeoStar Technology Inc., Santa Clara, CA (United States)
  2. Univ. of California, Berkeley, CA (United States). Electrical Engineering and Computer Sciences Dept.

A model of a power system with load dynamics is studied by investigating qualitative changes in its behavior as the reactive power demand at a load bus is increased. In addition to the saddle node bifurcation often associated with voltage collapse, the system exhibits sub- and supercritical Hopf bifurcations, cyclic fold bifurcation, and period doubling bifurcation. Cascades of period doubling bifurcations terminate in chaotic invariant sets. The presence of these new bifurcations motivates a reexamination of the saddle-node bifurcation as the boundary of the feasible set of power injections.

OSTI ID:
137106
Journal Information:
Proceedings of the IEEE, Journal Name: Proceedings of the IEEE Journal Issue: 11 Vol. 83; ISSN IEEPAD; ISSN 0018-9219
Country of Publication:
United States
Language:
English

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