KIEE International Transactions on Power Engineering

The Korean Institute of Electrical Engineers (대한전기학회)
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Topological Analysis of Chaos Characteristics in a Power System

  • Li, Shan-Ying (School of Electrical Engineering, Seoul National University) ;
  • Lee, Sang-Seung (Electrical Engineering and Science Research Institute(EESRI), Seoul National University) ;
  • Park, Jong-Keun (School of Electrical Engineering, Seoul National University)
  • Published : 2004.03.01
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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, a bifurcation graph was drawn. As well, the periodic orbits and topological invariants - the local crossing number, relative rotation rates, and linking number during the process of period-doubling 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 a strange attractor were extracted and the result was compared with those obtained from differential equations. This could be a new approach to state detection and fault diagnosis in dynamical systems.

Keywords

References

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