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Influence of a Reactive Power on the Dynamics of an Ensemble of Oscillators Simulated by the Phase Equations with Inertia

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Radiophysics and Quantum Electronics Aims and scope

We study the simplest artificial model of a power-network operation. The original model has a ring topology consisting of locally coupled power generators alternating with power consumers. Each node of the network is represented as a phase oscillator such as the Kuramoto oscillator with inertia. The network dynamics equations are transformed in accordance with the method of effective network model proposed in [1] and are numerically studied. The purpose of the work is to analyze the possible regimes of the nonuniform-network behavior in the presence of a reactive power in the system. We also study the joint influence of the reactive power and nonlinear dissipation of oscillators. The coefficient of inertia, which is the same for all oscillators, and the reactive power of one of the oscillators are considered as the network control parameters. The regime maps on the plane of control parameters, which were obtained for constant and nonlinear dissipation of the oscillators, are compared. The results show that the reactive power complicates the network behavior and reduces the phase-locked region. On the contrary, the nonlinear dissipation has a positive effect, leading to synchronization of the network oscillators even in the presence of a reactive power.

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Authors and Affiliations

  1. N.G. Chernyshevsky Saratov State University, Saratov, Russia

    P. A. Arinushkin & T. E. Vadivasova

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  1. P. A. Arinushkin
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  2. T. E. Vadivasova
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Correspondence to P. A. Arinushkin.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 65, No. 1, pp. 65–78, January 2022. Russian DOI: https://doi.org/10.52452/00213462_2022_65_01_65

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Arinushkin, P.A., Vadivasova, T.E. Influence of a Reactive Power on the Dynamics of an Ensemble of Oscillators Simulated by the Phase Equations with Inertia. Radiophys Quantum El 65, 59–70 (2022). https://doi.org/10.1007/s11141-022-10193-0

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