Geodesic
On the conditions for safe connection to hub-cluster power grids
Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 30 (2022) no. 4, pp. 424-435.

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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. 
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     author = {V. A. Khramenkov},
     title = {On the conditions for safe connection to hub-cluster power grids},
     journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
     pages = {424--435},
     publisher = {mathdoc},
     volume = {30},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVP_2022_30_4_a3/}
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V. A. Khramenkov. On the conditions for safe connection to hub-cluster power grids. Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 30 (2022) no. 4, pp. 424-435. http://geodesic.mathdoc.fr/item/IVP_2022_30_4_a3/