The influence of noise on the synchronization regime in an ensemble of first- and second-order phase oscillators simulating the operation of a power grid
Kuprijanov Vladislav, student 1
Vadivasova Tatiana E., professor 1
1 Saratov State University, Institute of Physics, Chair of Radiophysicsand Nonlinear Dynamics
Abstract
The dynamic regimes of the ensemble of phase Kuramoto-like oscillators of first and second order, describing the behavior of a model of the power grid with a ring topology is studied. The synchronous and asynchronous behaviour and also bistability depending on the initial conditions is observed. The influence of the external Gaussian and Levy noise on the regime is considered and the conditions at which the ensemble becomes the most sensitive to the noise is determined. It was demonstrated that the frequency synchronization regime of all oscillators, independent of the initial conditions, is slightly sensitive to the influence of white noise of high intensity, both Gaussian and Levy noise. Whereas, in the region of coexistence of synchronous and asynchronous behavior, depending on the initial conditions, a change of phase dynamics under the influence of different noise is observed. Numerical experiment has shown that the power grid model is more susceptible to Levy noise due to the noise features associated with random emissions, which in turn can be interpreted as random impulses.
Speaker
Kuprijanov Vladislav D.
Saratov State University, Institute of Physics, Chair of Radiophysics and Nonlinear Dynamics, student
Russia
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