Voltage collapse in power systems: Dynamical studies from a static formulation

Mello, Luis Fernando; Zambroni de Souza, Antonio Carlos; Yoshinari, Gerson Hiroshi; Schneider, Camila Vasconcelos

doi:https://doi.org/10.1155/MPE/2006/91367

Mathematical Problems in Engineering

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Volume 2006 | Article ID 091367 | https://doi.org/10.1155/MPE/2006/91367

Voltage collapse in power systems: Dynamical studies from a static formulation

Luis Fernando Mello,¹Antonio Carlos Zambroni de Souza,²Gerson Hiroshi Yoshinari,³and Camila Vasconcelos Schneider²

Received10 Aug 2004

Revised18 May 2005

Accepted07 Aug 2005

Published02 Apr 2006

Abstract

This paper addresses the problem of voltage collapse in power systems. More precisely, we exhibit a voltage collapse in a power system with two buses. This study is carried out with the help of two approaches. The first is a dynamical approach where a saddle-node bifurcation is analyzed and the second is an algebraic approach. Both approaches deal with the static behavior of the power system, but some dynamic aspects may be observed. An equivalence between the algebraic and dynamical approaches is obtained. The need to use both models comes from the fact that they are usually exploited in the literature, but a deep theoretical justification is still pending. Such a justification is meant in this work.

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Copyright

Copyright © 2006 Luis Fernando Mello et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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