Wiener Chaos Random Fourier Series as a Tool to Study the Coupling of Noise With Power System Transient Response

This letter studies the impact of the frequency spectrum of stochastic processes on the transient behavior of dynamic power systems. The Wiener Chaos Random Fourier Series technique is utilized to first decompose the noise into a series of harmonics with the same statistical properties as the original process, and then analyze the influence of specific frequency regions of the spectrum of the stochastic processes on the system transient response and stability. Simulation results show that the coupling between noise and system dynamics does not necessarily occur in the range of frequencies of the critical modes. These results are illustrated and duly interpreted through the Kundur's two-area system.