Mathematical Problems in Engineering

Mathematical Problems in Engineering / 2006 / Article

Open Access

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

Luis Fernando Mello, Antonio Carlos Zambroni de Souza, Gerson Hiroshi Yoshinari, Camila Vasconcelos Schneider, "Voltage collapse in power systems: Dynamical studies from a static formulation", Mathematical Problems in Engineering, vol. 2006, Article ID 091367, 11 pages, 2006. https://doi.org/10.1155/MPE/2006/91367

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

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 © 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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