SDAE-Based Probabilistic Stability Analysis of Wind Integrated Power Systems

This paper proposes a method for investigating the stability of the power system in presence of significant amounts of wind generation using stochastic differential algebraic equations (SDAEs). Contrary to the traditional approach of modelling the stochasticity only in the initial conditions, the SDAE-based method (SDAEM) describes wind power variation as a continuous stochastic process. Next, the model of a doubly fed induction generator (DFIG) grid-connected power system is also expressed as a SDAE. Finally, the probabilistic small signal stability (PSSS) and the probabilistic transient stability (PTS) conditions are defined. A single machine infinite bus (SMIB) system and a 16-machine, 68-bus system are used as the test systems for this analysis. The results indicate that SDAEM is more accurate and reliable in describing the system conditions in presence of stochastic inputs, and thus can be used to decide the right course of controller action.