ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Khramenkov V. A. On the conditions for safe connection to hub-cluster power grids. Izvestiya VUZ. Applied Nonlinear Dynamics, 2022, vol. 30, iss. 4, pp. 424-435. DOI: 10.18500/0869-6632-2022-30-4-424-435, EDN: CGKJXX

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
530.182
DOI: 
10.18500/0869-6632-2022-30-4-424-435
EDN: 
CGKJXX

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

Autors: 
Khramenkov Vladislav Anatolevich, Institute of Applied Physics of the Russian Academy of Sciences
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.

Key words: 
power grids
synchronous machines
Kuramoto model
synchronization
Acknowledgments: 
This work was supported by the Scientific and Education Mathematical Center «Mathematics for Future Technologies» (Project No. 075-02-2022-883). The author acknowledges to professor Nekorkin Vladimir Isaakovich and Dmitrichev Aleksey Sergeevich for useful suggestions and discussions of the results
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Received: 
12.05.2022
Accepted: 
19.05.2022
Published: 
01.08.2022
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