A stochastic model for power system transient stability with wind power

There has been continuous development of methods for evaluating transient stability of power system incorporating wind farms. A stochastic model of power systems with wind farms is proposed in this paper. The model takes into account both of the random initial values and stochastic noise of wind speed, with which power system transient stability analysis is modeled as a stochastic initial value problem (SIVP). Monte Carlo trials transform the model into stochastic differential algebraic equations (SDAEs). An implicit numerical method for SDAEs is discussed, which is similar to implicit trapezoidal integration for deterministic differential algebraic equations (DAEs). Case studies illustrating the proposed model are tested on the IEEE 39-bus 10-machine system. The simulation results demonstrate that the proposed model can provide comprehensive description of stochastic excitation of wind farms.