On the Impact of Auto-Correlation of Stochastic Processes on the Transient Behavior of Power Systems

This letter studies the impact of auto-correlation of stochastic processes on the dynamic response of power systems. The frequency spectrum of the trajectories of the state variables of the system is utilized as a metric to evaluate this impact. Simulation results indicate that the auto-correlation have a direct impact on the amplitude of the dominant electro-mechanical modes of the system. Results also show that, for a wide range of the values of the auto-correlation, the impact of stochastic processes on system dynamics is local, affects differently each area of the system and, in some cases, can lead to instability and voltage collapse.