Impact of Power Fluctuations on Synchronization in a Power Grid Model with Hub Topology

Abstract

The impact of power fluctuations in nodes of a power grid with a hub topology on the dynamic regime is studied. The grid consists of a central generator (hub) with associated peripheral nodes—synchronous motors modeled by phase oscillators with inertia. Power fluctuations are generated by independent white noise sources, and the impact of Gaussian and non-Gaussian Lévy noise on the synchronous regime is considered. Dependences of average difference frequencies on the frequency detuning and coupling parameter are considered for different noise intensities and stability parameter values. It is shown that the synchronous regime is maintained at low fluctuation intensities of both Gaussian and non-Gaussian α-stable noise, with no qualitative difference observed between them. As noise intensity increases, the synchronization effect gradually disappears. It has been established that noise (both Gaussian and non-Gaussian) disrupts the explosive nature of synchronization characteristic of a deterministic network, making the transition to synchronous operation smoother. Non-identity of peripheral nodes, which determines frequency detuning, also leads to this effect. Thus, the power grid model with a hub-and-spoke topology demonstrates the stability of the synchronous operation to low-intensity, uncorrelated power fluctuations with a Gaussian or α-stable distribution. High-intensity noise disrupts synchronization.

Speaker

Kuprijanov Vladislav D
Saratov State Unuversity
Russia

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