Análisis de D-estabilidad de Sistemas Descriptores con Aplicación en Sistemas de Potencia (D-stability Analysis of Descriptor Systems and Application in Power Systems)

Esteban Aranguiz (, Karina Acosta Barbosa (, Humberto Verdejo (

1Universidad de Santiago de Chile

This paper appears in: Revista IEEE América Latina

Publication Date: June 2015
Volume: 13,   Issue: 6 
ISSN: 1548-0992

This paper focuses on D-stability analysis problem for descriptor systems in algebraic differential representation. Necessary and sufficient conditions are proposed in order to ensure that all system eigenvalues belongs to a given set in the complex plane. Note that, the location of the eigenvalues in the study of dynamic systems is an important aspect to be considered since it allows obtaining important information about the system´s response. The proposed results are described as a set of LMIs and are applied to a single-machine infinite-bus power system.

Index Terms:
D-stability, Descriptor Systems, Power Systems, LMI   

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