Direct Methods for Stability Analysis of Electrical Power Systems

• Grant number: 12/14194-9
• Support Opportunities: Regular Research Grants
• Start date: October 01, 2012
• End date: September 30, 2014
• Field of knowledge: Engineering - Electrical Engineering - Power Systems
• Principal Investigator: Luís Fernando Costa Alberto
• Grantee: Luís Fernando Costa Alberto
• Host Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated researchers: Fabíolo Moraes Amaral

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)

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

PILLCO, EDWIN CHOQUE; ALBERTO, LUIS F. C.. On the Foundations of Stability Analysis of Power Systems in Time Scales. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, v. 62, n. 5, p. 1230-1239, MAY 2015. (12/14194-9, 11/00657-4)

GOUVEIA, JR., JOSAPHAT R. R.; AMARAL, FABIOLO MORAES; ALBERTO, LUIS F. C.. STABILITY BOUNDARY CHARACTERIZATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS IN THE PRESENCE OF A SUPERCRITICAL HOPF EQUILIBRIUM POINT. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 23, n. 12, DEC 2013. (11/06938-5, 12/14194-9, 10/00574-9)

MANSOUR, MOUSSA REDA; COSTA ALBERTO, LUIS FERNANDO; RAMOS, RODRIGO ANDRADE. Preventive Control Design for Voltage Stability Considering Multiple Critical Contingencies. IEEE Transactions on Power Systems, v. 31, n. 2, p. 1517-1525, MAR 2016. (12/14194-9, 09/05167-5)

AMARAL, FABIOLO MORAES; ALBERTO, LUIS FERNANDO C.; GOUVEIA, JR., JOSAPHAT R. R.. Saddle-node equilibrium points on the stability boundary of nonlinear autonomous dynamical systems. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, v. 33, n. 1, p. 113-135, 2018. (12/14194-9)