On the Initialization of Transient Stability Models of Power Systems With the Inclusion of Stochastic Processes

This letter addresses the initialization problem of power systems modeled as (SDAEs) and proposes a novel efficient initialization method. The method involves finding the co-variance matrix for the system state variables and initializing the stochastic state variables of the system randomly based on their probability distribution. Deterministic states and algebraic variables are then initialized based on the initial stochastic processes and the system co-variance matrix. The proposed method is illustrated through Monte Carlo simulations of a one-machine infinite-bus system and its numerical performance discussed through a dynamic 1479-bus model of the all-island Irish transmission system. It is shown that by utilizing the proposed method the computation time needed for the Monte Carlo simulations of the system can be reduced significantly compared to other initialization methods used in the literature.