The Evolution of Probability Density Function for Power System Excited by Fractional Gaussian Noise

نویسندگان

چکیده

This article is devoted to investigating the evolution of probability density function for power system excited by fractional stochastic noise. First, single-machine-infinite-bus (SMIB) model Gaussian noise (FGN) established. Second, we derive Fokker–Planck–Kolmogorov (FPK) equation proposed and solve FPK using finite difference method. Finally, numerical results verify that addition FGN would influence dynamical stability SMIB under certain conditions.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11132854