Rapid method for evaluating the margin of voltage stability due to Hopf bifurcation

Author(s)

Karen Rezende Caino de Oliveira

• Document type: Master's Dissertation
• Press: São Carlos.
• Institution: Universidade de São Paulo (USP). Escola de Engenharia de São Carlos (EESC/SBD)
• Defense date: 2009-09-18

Examining board members

Newton Geraldo Bretas; Luís Fernando Costa Alberto; Antonio Carlos Zambroni de Souza

• Advisor: Newton Geraldo Bretas

Abstract

Despite the increasing development of Hopf bifurcations detection methods for electric power systems in the last decades, some aspects still require to progress, especially with the increasing necessity for higher safety in the electrical energy systems operation. One of these aspects concerns to the processing time of these methodologies to be used in real-time system operation. The computational time is disregarded for this purpose by the methods currently available. Therefore, this paper presents a new development for the power system stability margin estimation due to Hopf bifurcation and considers the computational time involved in this process to include the margin due to Hopf in electrical energy real-time operation. The presented development extends a methodology that makes up the state-of-the-art through an interest parameter relaxation in the stability margin due to Hopf bifurcation, namely, the eigenvalue frequency at the bifurcation point. This method uses Newton\'s method on a set of equations, and this work also proposes the use of a sparsity treatment for this set of equations, speeding up the algorithm. In order to demonstrate the proposed methodology efficiency, it was tested in two systems, the two areas Kundur system and the IEEE 39 bus system. The results are compared against the results of the classic methodology used in operation centers. Through these results it is possible to show the possibility of their use in real time and elucidate the major improvements resulting from the proposed development. (AU)

• FAPESP's process: 07/06076-8 - PREDICTION OF VOLTAGE STABILITY MARGIN DUE TO HOPF BIFURCATION
• Grantee: Karen Rezende Caino de Oliveira
• Support Opportunities: Scholarships in Brazil - Master