A superstatistical analytical model reproduces multimodal frequency distributions, heavy-tailed fluctuations, and double-exponential autocorrelations in real grid data from two countries while also fitting spatial phase-angle statistics.
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Derives nonlinear Fokker-Planck equations via a new Linearization Principle in q-deformed geometry, establishing duality between dynamic index q and thermodynamic index 2-q for Tsallis statistics.
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Understanding the complexity of frequency and phase angle fluctuations in power grids
A superstatistical analytical model reproduces multimodal frequency distributions, heavy-tailed fluctuations, and double-exponential autocorrelations in real grid data from two countries while also fitting spatial phase-angle statistics.
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Linearization Principle: The Geometric Origin of Nonlinear Fokker-Planck Equations
Derives nonlinear Fokker-Planck equations via a new Linearization Principle in q-deformed geometry, establishing duality between dynamic index q and thermodynamic index 2-q for Tsallis statistics.