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

For citation:

Khramenkov V. A., Dmitrichev A. S., Nekorkin V. I. Stability of multi-machine power grid with a common load to connecting and disconnecting of generators. Izvestiya VUZ. Applied Nonlinear Dynamics, 2026, vol. 34, iss. 1, pp. 49-67. DOI: 10.18500/0869-6632-003195, EDN: JGCTLP

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
530.182
DOI: 
10.18500/0869-6632-003195
EDN: 
JGCTLP

Stability of multi-machine power grid with a common load to connecting and disconnecting of generators

Autors: 
Khramenkov Vladislav Anatolevich, Institute of Applied Physics of the Russian Academy of Sciences
Dmitrichev Aleksej Sergeevich, Institute of Applied Physics of the Russian Academy of Sciences
Nekorkin Vladimir Isaakovich, Institute of Applied Physics of the Russian Academy of Sciences
Abstract: 

The purpose of this work is studying the stability of the power grid, consisting of an arbitrary number of synchronous generators supplying a common passive linear load, to disconnection and connection of generators.

Methods. In this paper, numerical modeling of the power grid operation and the second Lyapunov method are used.

Results. Conditions for safe disconnection and connection of generators have been revealed, under which a synchronous mode is established in the disturbed power grid.

Conclusion. The power grid consisting of an arbitrary number of synchronous generators supplying a common passive linear load is considered. Using the approach based on the second Lyapunov method, conditions on parameters are found that ensure safe disconnection of generators, including, if any, a generator involving in the “inhomogeneous” load supply path, that differs from the others in current and transmitted power. The obtained estimates are confirmed numerically for power grids of various sizes. The evolution of the area corresponding to the safe connection of a generator to the power grid of five generators is also numerically traced.
 

Key words: 
power grids
synchronous machines
synchronous modes
stability
multistability
disconnection and connection of generators
Acknowledgments: 
This work was supported by the Russian Science Foundation, project No. 24-12-00245.
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Received: 
21.07.2025
Accepted: 
05.09.2025
Available online: 
12.09.2025
Published: 
30.01.2026
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