Power flow analysis under uncertainty using symmetric fuzzy arithmetic

Authors :: David Defour
Manuel Marin
Federico Milano
Digits, Architectures et Logiciels Informatiques (DALI)
Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier (LIRMM)
Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM)-Université de Perpignan Via Domitia (UPVD)
University College Dublin [Dublin] (UCD)
Source :: PES General Meeting 2014 | Conference & Exposition, PES General Meeting 2014 | Conference & Exposition, Jul 2014, National Harbor, MD, United States. pp.1-5, ⟨10.1109/PESGM.2014.6939274⟩
Publication Year :: 2014
Publisher :: IEEE, 2014.
Abstract: International audience; 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.