By using the method of the
combination concept of Cumulants and Gram-Charlier series
expansion theory, the DC probabilistic model is extended into AC
probabilistic model, in which a three-parameter Weibull
distribution is adopted to describe the random variation of wind
speed, meanwhile the asynchronous wind turbine generator is
treated as PQ node, then a probabilistic model of wind turbine
generator is built. Based on the built model the calculation of
IEEE 118-bus system is carried out, and then the probabilistic
distributions of nodal voltages as well as the probabilistic
distribution of branch load flow are obtained