Proceedings of the KIEE Conference (대한전기학회:학술대회논문집)
- 2003.11a
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- Pages.297-299
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- 2003
Topological analysis of Chaos Characteristics in A Power System
전력계통의 Chaos 위상학적 특성 해석
Abstract
This paper proposes a totally new method in the chaos characteristics analysis of power systems, the introduction of topological invariants. Using a return histogram the bifurcation graph was drawn, the periodic orbits and topological invariants the local crossing number, relative rotation rates, and linking number during the process of period-doubting bifurcation and chaos were extracted. This study also examined the effect on the topological invariants when the sensitive parameters were varied. In addition, the topological invariants of a three-dimensional embedding of the strange attractor was extracted and the result was compared with those obtained from differential equations. This could be a new way for a state detection and fault diagnosis in a dynamical system.