Title :
Power flow analysis under uncertainty using symmetric fuzzy arithmetic
Author :
Marin, Mario ; Defour, David ; Milano, F.
Author_Institution :
LIRMM, Univ. Montpellier 2, Montpellier, France
Abstract :
This paper present a novel approach using symmetric fuzzy numbers to deal with uncertainty in power system analysis. Special attention is put on reducing overestimation due to conservatism inherent in fuzzy arithmetic. The midpoint-radius interval representation and a linear programming optimization problem are used in order to enhance efficiency and accuracy, respectively. The proposed method is tested over the IEEE 14-bus test system and compared with other techniques available in the literature. The case study that the proposed method yields accurate results at a reduced computational cost.
Keywords :
fuzzy set theory; linear programming; load flow; IEEE 14-bus test system; linear programming optimization problem; midpoint-radius interval representation; power flow analysis; power system uncertainty analysis; reduced computational cost; symmetric fuzzy arithmetic; symmetric fuzzy numbers; Equations; Jacobian matrices; Power systems; Probabilistic logic; Symmetric matrices; Uncertainty; Vectors;
Conference_Titel :
PES General Meeting | Conference & Exposition, 2014 IEEE
Conference_Location :
National Harbor, MD
DOI :
10.1109/PESGM.2014.6939274