Probabilistic Optimal Power Flow Considering Correlations of Wind Speeds Following Different Distributions

Abstract

This paper presents a probabilistic optimal power flow (POPF) technique considering the correlations of wind speeds following arbitrary probability distributions based on the point estimation method (PEM). Correlated wind speeds following different distributions are transformed into random variables following correlated normal distributions and then independent normal distributions so that the traditional 2m+1 point estimation method can be applied to solve the probabilistic optimal power flow with wind speed correlations. The IEEE 14-bus system, IEEE 118-bus system and an actual utility system in the southwest of China with additional wind farms are used to demonstrate the effectiveness of the presented method.