Characterization of power systems near their stability boundary by Lyapunov direct method

Yadykin, Igor B.; Kataev, Dmitry E.; Iskakov, Alexey B.; Shipilov, V.

doi:10.3182/20140824-6-za-1003.01257

Cited by 4 publications

(2 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then the spectral decomposition for the square H 2 norm of the impulse response function from (Yadykin, Kataev et al (2014)) can be generalized for the case of a finite time interval using decomposition of finite Gramians obtained in Theorem 4.…”

Section: System H 2 Norms On a Finite Intervalmentioning

confidence: 99%

See 1 more Smart Citation

Stability analysis of electric power systems using finite Gramians**This work was supported by research project No.14-08-01098-a of the Russian Foundation for Basic Research (RFBR).

et al. 2015

Self Cite

View full text Add to dashboard Cite

We present an extension of the method of eigenmode decomposition of Gramians proposed earlier for the the small-signal stability analysis of dynamical systems. In this paper we derive the spectral decomposition for finite Gramians on any time interval and with arbitrary initial conditions. These expansions allow both a stability analysis of non-stationary systems and a monitoring of instability development in unstable systems. Eigen components in the expansion of Gramians on a finite interval of time we called finite sub-Gramians. Because each sub-Gramian is associated with a particular eigenvector, the sources of instability can be easily localized and tracked in real time. We perform a simulation experiment in which finite subGramians are used to analyze the development of instability arising in an actual power grid on Russky Island when it is disconnected from the mainland network.

show abstract

Section: System H 2 Norms On a Finite Intervalmentioning

confidence: 99%

“…Using (15) and spectral decomposition of the Gramian P c (∞) in the form (8) the corresponding spectral decomposition for the square H 2 norm of the transfer function were obtained in (Yadykin, Kataev et al (2014)). …”

Section: System H 2 Norms On a Finite Intervalmentioning

confidence: 99%