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

Author

Yiming Li ; Wenyuan Li ; Wei Yan ; Juan Yu ; Xia Zhao

Author_Institution

State Key Lab. of Power Transm. Equip. & Syst. Security & New Technol., Chongqing Univ., Chongqing, China

Volume

29

Issue

4

fYear

2014

fDate

Jul-14

Firstpage

1847

Lastpage

1854

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.

Keywords

load flow; normal distribution; wind power plants; China; IEEE 118-bus system; IEEE 14-bus system; PEM; POPF technique; arbitrary probability distributions; correlated normal distributions; point estimation method; probabilistic optimal power flow; wind farms; wind speed correlations; Correlation; Gaussian distribution; Input variables; Probabilistic logic; Standards; Vectors; Wind speed; Correlation; point estimation method; probabilistic optimal power flow; probability distribution;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/TPWRS.2013.2296505

Filename

6708488