A novel interval voltage control method considering interval power data and discrete control variables

Abstract

Uncertainties in input data introduce potential risk to the voltage security of power grids. These uncertainties can be addressed effectively using the reactive power optimization incorporating interval uncertainty (RPOIU) model, which can be solved efficiently by a linear approximation method (LAM). This paper proposed an interval LAM (ILAM), which employed a more accurate interval power flow calculation method, that is, the optimizing-scenarios method (OSM), to compute the range of interval variables in the RPOIU model. Occupation of the OSM enlarged the searching solution space of the iteration model of the ILAM, thus obtaining lower real power losses when compared with previously proposed LAM. In addition, we proposed a Gaussian penalty function to accommodate discrete variables in the RPOIU model. We also proposed a round-off process to implement discrete variables handling. Simulation results demonstrated the effectiveness, good applicability, and robustness of the proposed method in comparison with the previously proposed LAM.