Stochastic analysis of the power systems excited by fractional Gaussian noise

This paper is devoted to studying the impacts of fractional Gaussian noise (FGN) excitation on power systems. Firstly, based on the historical data of power systems, the long-range correlations in power systems are found, and then the power systems under FGN excitation are established. Secondly, to quantify the influences of FGN on the proposed models, the security-domain probability is introduced. Thirdly, according to the pathwise integrals and differential rule with respect to FGN, an analytical method is proposed to evaluate the security-domain probability. In contrast to the Monte Carlo approach, the analytical approach is much faster to yield the security-domain probability without losing the accuracy of results. Finally, some suggestions are offered to enhance the dynamical characteristics of the FGN-excited power systems.