A Markov chain based method for probabilistic load flow with wind power

On the basis of Markov chain, this paper proposes a frequency and duration method for probabilistic load flow (PLF) analysis with wind power by improving the probability-frequency distribution function (PFDF) method. With this proposed method, the probability, frequency, and duration information of random output variables in the PLF problem can be efficiently computed by convolution and addition operation of PFDFs for random input variables. A numerical test on the modified IEEE-RTS79 grid verifies the effectiveness of the proposed method.