Analyzing probabilistic optimal power flow problem by cubature rules

This paper is devoted to revealing some properties of the probabilistic optimal power flow (POPF) problem. In conjunction with Hermite polynomial model, Nataf transformation introduced map POPF problem independent standard normal space. Firstly, a multivariate model employed represent function relationship between inputs and outputs. Then, moment matching equations are derived characterize uncertainty effects on outputs; three cubature rules calculate statistical moments Finally, along Monte Carlo simulation method, proposed methods tested IEEE 57-bus system 118-bus system, whereby it reveals characteristics relation