Abstract
With the increase in variable inverter-based renewable energy sources, power systems become increasingly subjected to stochastic sources. Considering the decline in rotational inertia, the consequence of the continuous spatially distributed perturbations is stochastic frequency dynamics. In this paper, the stochastic dynamics of the power system dynamics, subjected to spatially distributed disturbances, are investigated using a stochastic differential equation and the Fokker-Planck equation. This research shows that the reactance distance between perturbation sources, like wind farms, and the location of system inertia (synchronous generators/condensers), reduces the variance of the system’s rate of change of frequency probability density function. Thus, for a power system under continuous and spatially distributed stochastic feed-in, greater reactance distances decrease the probability of significant frequency dynamics.
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