Affiliation:
1. School of Mathematics and Information Science & Ningxia Key Laboratory of Intelligent Information and Big Data Processing, North Minzu University, Yinchuan 750021, China
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.
Funder
National Natural Science Foundation
Ningxia higher education first-class discipline construction funding project
Major Special project of North Minzu University
2023 Graduate Innovation Project of North Minzu University
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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