IEEE Transactions on Circuits and Systems · 1990 · 21 citations · 10 references
Natural SciencesElectrical EngineeringPhysicsComplex SystemsDynamical SystemsSystem DynamicsBifurcation TheoryFrequency-domain AnalysisNonlinear DynamicsPower System StabilityStabilityStability TheoryBifurcationBifurcation AnalysisElectric Power Distribution NetworksElectric Power NetworksFrequency-domain Network AnalysisFrequency-domain Response AnalysisHopf BifurcationParametric Instabilities
An approach to studying certain types of parametric instabilities in electric power networks that are associated with a Hopf bifurcation is discussed. A particular frequency-domain version of the Hopf bifurcation theorem is used to complete an example of power-system flutter instability. It is shown that the instability encountered therein is a Hopf bifurcation and that it is supercritical. The results of the analysis are verified by computer simulation.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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