Influence of reactive power on the dynamics of an ensemble of generators modeled by phase equations with inertia
P.A. Arinushkin1, T.E. Vadivasova1
1Saratov State University, Saratov, Russia
Abstract
The paper investigates the simplest artificial model of the power grid operation. The original model has a ring topology consisting of locally coupled power generators alternating with power consumers. Each node in the network is represented as a phase oscillator such as the Kuramoto oscillator with inertia. The network dynamics equations are transformed according to the efficient network model method proposed in \cite {Nishikawa_2015} and investigated numerically. The purpose of the work is to investigate possible modes of network behavior in the presence of reactive power in the system. The joint influence of reactive power and nonlinear dissipation of oscillators was also considered. As the control parameters of the network, the coefficient of inertia, which is the same for all oscillators, and the reactive power of one of the oscillators are considered. A comparison is made of the maps of regimes on the plane of control parameters obtained with constant and nonlinear dissipation of the oscillators. Research results show that reactive power complicates network behavior and can reduce the phase-locked area. On the contrary, the presence of nonlinear dissipation has a positive effect, leading to the synchronization of the network oscillators even in the presence of the reactive power component.
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Pavel Arinushkin
Saratov State University, Saratov, Russia
Russia
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