Electrical power and energy systems

Electrical Power and Energy Systems 45 (2013) 489–500

Contents lists available at SciVerse ScienceDirect

Electrical Power and Energy Systems journal homepage: www.elsevier.com/locate/ijepes

Sensitivity and functionally oriented models for power system planning, operation, and control
P. Ekel a,b,⇑, M. Junges b, I. Kokshenev a,b, R. Parreiras a,b a b

Graduate Program in Electrical Engineering, Pontifical Catholic University of Minas Gerais, Av. Dom Jose Gaspar, 500, 30.535-610 Belo Horizonte, MG, Brazil Advanced System Optimization Technologies, Av. Do Contorno, 5351, S. 1503, 30110-923 Belo Horizonte, MG, Brazil

a r t i c l e

i n f o

a b s t r a c t
This paper presents results of research into the use of factorial experimental design for constructing sensitivity as well as functionally oriented models for power system planning, operation, and control. The rationality of applying factorial experimental design for this goal is associated with the possibility to ‘‘build’’ secants but not tangents (how it is done in the use of existing techniques) to improve the adequateness of constructed models. Considering that the experiments with mathematical models of systems (but not with real systems) create difficulties in all stages of statistical evaluating the results of experiments (the impossibility to estimate reproducibility dispersions without the results of so-called parallel experiments), questions of their overcoming are discussed. The sensitivity models obtained with the use of experimental design techniques are applicable to planning, operation, and control technologies related to applying knowledge based approaches (in particular, a fuzzy logic based approach) as well as to utilizing optimization approaches. Taking this into account, the results of the paper are illustrated by their applications to solving the following power engineering problems: (a) fuzzy logic based coordinated voltage and reactive power control in regulated and