Análise do modelo de fluxo de potência retangular intervalar baseado na expansão completa da série de Taylor

Abstract

The power flow analysis aims to calculate bus voltage and current in branches, for a given pre-established scenario of generation and load. It is an essential tool in electrical power systems operation and control In traditional analysis, the parameters are treated as deterministic values. However, in practice, these parameters may present uncertainties associated with measurement as well as their inherent variation over the time. In addition, the growth of intermittent sources participation, such as wind and solar, into power grids has increased the uncertainties level, which demands the development of specific power flow studies in order to deal with data variability. In this context, this work investigates a method published in literature, that models the power flow subject to uncertainties associated with active and reactive bus loads. The basic idea of this method is to carry out the complete expansion of power equations, in terms of Taylor series, expressed in rectangular coordinates of bus voltages. The method is implemented in MATLAB, considering different uncertainties applied to IEEE 57 bus and Brazilian 107 bus. The results are then compared with those generated by interval mathematics and Monte Carlo simulation. In general, the quality of this method generated intervals is better than that presented by interval mathematics.