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

Hufei Li and Shaojuan Ma ()
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Hufei Li: School of Mathematics and Information Science & Ningxia Key Laboratory of Intelligent Information and Big Data Processing, North Minzu University, Yinchuan 750021, China
Shaojuan Ma: School of Mathematics and Information Science & Ningxia Key Laboratory of Intelligent Information and Big Data Processing, North Minzu University, Yinchuan 750021, China

Mathematics, 2023, vol. 11, issue 13, 1-16

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

Keywords: Fokker–Planck–Kolmogorov equation; fractional Gaussian noise; probability density function; power system; stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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