Small-signal probabilistic stability of power systems considering the stocastic uncertainty of grid-connected wind farm

The impact of stochastic uncertainty brought about by the grid-connected wind farm penetration on power system small-signal stability is investigated in this paper. An analytical method to carry out the probabilistic analysis is proposed. The cumulants and central moments of the system critical eigenvalues are computed on the basis of the normal probabilistic distribution of wind power generation. The Gram-Charlier expansion is employed to obtain the probabilistic distribution of the eigenvalues. All the conclusions gained by the analytical method proposed have been confirmed by Monte Carlo simulations in the case study presented in the paper.