On the Impact of Probability Distributions of Stochastic Processes on Power System Dynamics

The paper originates from the observation that, when fitting stochastic processes based on data measurements, it is often possible to fit various probability distribution functions (PDFs) to the same data. This paper evaluates the impact of modeling stochastic processes with different PDFs on the dynamic behavior of the power system. The case study uses the well-known two-area system, which is modified to include stochastic processes through wind generation. Simulation results show that modeling stochastic processes such as wind speeds through different PDFs impacts the behavior of the power system differently, despite exhibiting similar statistical properties. The case study also shows that some PDFs worsen the effects of contingencies.