Direct Methods for Stability Analysis of Electrical Power Systems

Abstract

The main goal of this research project is the development of direct methods for real time analysis of electrical power systems subjected to large perturbations, including the problem of transient stability (or rotor angle stability) and voltage stability. Direct methods allow the fast assessment of stability of large electrical power systems and are fundamental to the development of dynamic security assessment tools.This research project relies on the results that were obtained in the FAPESP projects 2010/00574-9 (Auxílio Regular) and 2011/06938-5 (Bolsa de Pesquisa no Exterior). In these projects, the characterization of the stability region of singularly perturbed systems was studied in details. Exploring this characterization and the properties of time scale (coexistence of variables with slow and fast dynamics), intrinsic to power system models, the foundations of direct methods for power system models with multiple time-scale and power system models represented by a set of differential-algebraic equations will be developed. Some potential applications of these methods will also be investigated. More specifically, the following topics will be considered: (i) the development of more robust algorithms for CUEP calculation; (ii) the extension of direct methods for the analysis of mid-term stability, where the problem of voltage stability is relevant and (iii) the development of the foundations of the QSS method (Quasi-Steady State Analysis), where fast dynamics are neglected and their differential equations are substituted by equilibrium equations.Other research activities correlated to the main theme will also be developed. These activities include: (i) the development of methods for static analysis of voltage stability that are fast and suitable for real time security analysis of power systems (ii) studies of stability region characterization of nonlinear dynamical systems. (AU)