Impact of Uncertainty Quantification on Small Signal Stability of Power System

Abstract

The statistical uncertainty quantification of the injected uncertainties into a power system has been done to study the response of the power system to such injected randomness. The dominant electromechanical modes have been analysed and the frequency spectrum of the trajectories obtained for various state variables has been used to measure the impact of injected randomness on the system. The idea of Statistical Distance between the point of input perturbations and output measurement data has been explored.The simulation results indicate that there is a direct relationship between the input uncertainty and output measurement variable and is greatly affected by the magnitude and location of random injection. The above framework has been validated using Kundur'stwo area system and IEEE 14 Bus system.