Probabilistic assessment of power system transient stability incorporating SMES

This paper presents a stochastic-based approach to evaluate the probabilistic transient stability index of the power system incorporating the wind farm and the SMES. Uncertain factors include both sequence of disturbance in power grid and stochastic generation of the wind farm. The spectrums of disturbance in the grid as the fault type, the fault location, the fault clearing time and the automatic reclosing process with their probabilities of occurrence are used to calculate the probability indices, while the wind speed statistics and parameters of the wind generator are used in a Monte Carlo simulation to generate samples for the studies. With the proposed method, system stability is ”measured”. Quantitative relationship of penetration level, SMES coil size and system stability is established. Considering the stability versus coil size to be the production curve, together with the cost function, the coil size is optimized economically.

► Probabilistic study of power system with wind farm and SMES is proposed.
► Quantitative relationship between system stability and SMES capacity is given.
► System stability increases with the capacity of the SMES.
► System stability decreases with the penetration of wind power.
► Together with the cost function, the coil size is optimized.