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JOURNALS // Izvestiya VUZ. Applied Nonlinear Dynamics // Archive

Izvestiya VUZ. Applied Nonlinear Dynamics, 2022 Volume 30, Issue 4, Pages 424–435 (Mi ivp488)

APPLIED PROBLEMS OF NONLINEAR OSCILLATION AND WAVE THEORY

On the conditions for safe connection to hub-cluster power grids

V. A. Khramenkov

Federal Research Center Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod, Russia

Abstract: Purpose of this work is studying of the dynamics of a power grid model that results from the expansion of a highly centralized grid, i.e. a hub-cluster, by adding a small subgrid. The main attention is paid to the study of possible power grid operation regimes and their characteristics. Methods. Numerical simulation of power grid operation, the dynamics of which is described by the Kuramoto equations with inertia, is used. Results. Various power grid operation regimes and the boundaries of their existence in the parameter space are given. The main characteristics of these regimes, such as the probability of realization and the magnitude of oscillations of regime variables, are considered. The conditions for safe connection to hub-cluster power grids are obtained. Conclusion. The dynamics of power grid consisting of two subgrids and its operation regimes are considered. Based on the characteristics of these regimes, their safety for subgrids is determined. The results obtained made it possible to formulate conditions for a safe connection to hub-cluster power grids.

Keywords: power grids, synchronous machines, Kuramoto model, synchronization.

UDC: 530.182

Received: 12.05.2022

DOI: 10.18500/0869-6632-2022-30-4-424-435



© Steklov Math. Inst. of RAS, 2026