基于Edgeworth级数和多重线性化的 概率潮流算法

Abstract: On the problem of large-scale probabilistic power flow problems with random variables, if the Gram-Charlier series expansion was used to approximate the cumulative distribution of random variables, the amount of calculation was large. In order to reduce the computational complexity of higher order expansion by using the recurrence of Hermite orthogonal matrix of edgeworth, a probabilistic power flow model considering the randomness of wind power output and load fluctuation is established. According to the method of high-order series transform is eliminated the influence of calculation accuracy, the method of multiple linear systems by uniform division of the total active power is used to reduce the truncation error caused by the large variation range of the input random variables due to linearization of the power flow equation. Simulation results of IEEE 39 system verify the effectiveness of the proposed method.