AIMS Mathematics · 2022 · 30 citations · 32 references
EngineeringElectrical EngineeringDynamical SystemsElectric MachinesSystem DynamicsAdaptive ControlChaos TheoryNonlinear DynamicsPermanent Magnet MachinesPower System StabilitySynchronous MachinesAdaptive Fuzzy ControlBifurcationLyapunov FunctionsLyapunov SpectrumPermanent Magnet Synchronous MachinesPoincaré Map AnalysisType-2 Fuzzy SetsWind Turbine Control Systems
<abstract> <p>This article begins with a dynamical analysis of the Permanent Magnet Synchronous Generator (PMSG) in a wind turbine system with quadratic nonlinearities. The dynamical behaviors of the PMSG are analyzed and examined using Poincare map, bifurcation model, and Lyapunov spectrum. Finally, an adaptive type-2 fuzzy controller is designed for different flow configurations of the PMSG. An analysis of the performance for the proposed approach is evaluated for effectiveness by simulating the PMSG. In addition, the proposed controller uses advantages of adaptive type-2 fuzzy controller in handling dynamic uncertainties to approximate unknown non-linear actions.</p> </abstract>
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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