Global Stability of a Synchronous Regime in Hub Clusters of the Power Networks


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Abstract

We study stability of a synchronous regime in hub clusters of the power networks, which are simulated by ensembles of phase oscillators. An approach allowing one to estimate the regions in the parameter space, which correspond to the global asymptotic stability of this regime, is presented. The method is illustrated by an example of a hub cluster consisting of one generator and two consumers.

About the authors

A. S. Dmitrichev

Institute of Applied Physics of the Russian Academy of Sciences

Author for correspondence.
Email: admitry@neuron.appl.sci-nnov.ru
Russian Federation, Nizhny Novgorod

D. G. Zakharov

Institute of Applied Physics of the Russian Academy of Sciences

Email: admitry@neuron.appl.sci-nnov.ru
Russian Federation, Nizhny Novgorod

V. I. Nekorkin

Institute of Applied Physics of the Russian Academy of Sciences

Email: admitry@neuron.appl.sci-nnov.ru
Russian Federation, Nizhny Novgorod

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