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)
| Autor: | Alexey B. Iskakov, Andrey A. Grobovoy, Dmitry E. Kataev, Mikhail Sergeyevich Khmelik, Igor B. Yadykin |
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| Rok vydání: | 2015 |
| Předmět: |
Dynamical systems theory
Mathematics::Optimization and Control Interval (mathematics) Stability (probability) Instability Matrix decomposition Electric power system Computer Science::Systems and Control Control and Systems Engineering Normal mode Control theory Applied mathematics Eigenvalues and eigenvectors Mathematics |
| Zdroj: | IFAC-PapersOnLine. 48:548-553 |
| ISSN: | 2405-8963 |
| Popis: | We present an extension of the method of eigenmode decomposition of Gramians proposed earlier for 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 sub-Gramians 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. |
| Databáze: | OpenAIRE |
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