Cumulant based probabilistic optimal power flow (P-OPF)

This paper introduces the cumulant method for the P-OPF problem and compares the cumulant method and first-order second-moment method (FOSMM). It is shown that for some combinations of independent Gaussian distributions the two methods are equivalent. A numerical example is included comparing the cumulant method and FOSMM results with a 1500 Monte Carlo simulation. The results using the FOSMM exactly equal the results using the cumulant method.