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.

随着基于可变逆变器的可再生能源的增加，电力系统越来越受到随机源的影响。考虑到转动惯量的下降，连续空间分布扰动的结果是随机频率动力学。在本文中，使用随机微分方程和 Fokker-Planck 方程研究了受空间分布扰动影响的电力系统动力学的随机动力学。该研究表明，扰动源（如风电场）之间的电抗距离与系统惯量（同步发电机/冷凝器）的位置之间的电抗距离降低了系统频率概率密度函数变化率的方差。因此，对于连续且空间分布随机馈入的电力系统，