IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 1999 · 92 citations · 10 references
Natural SciencesElectrical EngineeringMathematicsDynamical SystemsEnergy SystemsSystem DynamicsBifurcation TheoryChaos TheoryLimit CyclesNonlinear DynamicsPower System StabilityStabilityAttractorsChaotic AttractorsChaotic DynamicsChaotic OscillatorsDynamical Systems StabilityPower System ModelingPower System OperationStrange Attractors
This paper reports the occurrence of a rare phenomenon in dynamical systems when four different attractors namely a stable equilibrium, a stable limit cycle and two strange attractors coexist in a fundamental power system model. The paper shows that power system operation could get trapped into sustained chaotic oscillations after a large disturbance even when there exists a viable stable equilibrium point in the model.
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Determining Lyapunov exponents from a time series
Alan Wolf, J. B. Swift, Harry L. Swinney et al. · Physica D Nonlinear Phenomena · 1985 · 9.4K citations · Full text
Chaos in a simple power system
Hsiao‐Dong Chiang, Chih‐Wen Liu, Pravin Varaiya et al. · IEEE Transactions on Power Systems · 1993 · 216 citations