Power Flow Analysis under Uncertainty using Symmetric Fuzzy Arithmetic

Manuel Marin 1 David Defour 1 Federico Milano 2
1 DALI - Digits, Architectures et Logiciels Informatiques
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier, UPVD - Université de Perpignan Via Domitia
2 UCD - University College Dublin [Dublin]
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 : Equations Power systems Probabilistic logic Symmetric matrices Uncertainty Vectors Jacobian matrices
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Conference papers
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Manuel Marin, David Defour, Federico Milano. Power Flow Analysis under Uncertainty using Symmetric Fuzzy Arithmetic. PES General Meeting 2014 | Conference & Exposition, Jul 2014, National Harbor, MD, United States. pp.1-5, ⟨10.1109/PESGM.2014.6939274⟩. ⟨lirmm-01206373⟩

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