Low-frequency oscillations in coupled phase oscillators with inertia

Abstract

This work considers a second-order Kuramoto oscillator network periodically driven at one node to model low-frequency forced oscillations in power grids. The phase fluctuation magnitude at each node and the disturbance propagation in the network are numerically analyzed. The coupling strengths in this work are sufficiently large to ensure the stability of equilibria in the unforced system. It is found that the phase fluctuation is primarily determined by the network structural properties and forcing parameters, not the parameters specific to individual nodes such as power and damping. A new “resonance” phenomenon is observed in which the phase fluctuation magnitudes peak at certain critical coupling strength in the forced system. In the cases of long chain and ring-shaped networks, the Kuramoto model yields an important but somehow counter-intuitive result that the fluctuation magnitude distribution does not necessarily follow a simple attenuating trend along the propagation path and the fluctuation at nodes far from the disturbance source could be stronger than that at the source. These findings are relevant to low-frequency forced oscillations in power grids and will help advance the understanding of their dynamics and mechanisms and improve the detection and mitigation techniques.

Fast Screening Method for an Important Transmission Line in Electrical Power System Uniting Internet Thinking and Physical Features

“…Give initial Authority vector as formula (18) Give initial Hub vector as formula (19) Iteration proceeds according to formula (16) Iteration proceeds according to formula (17) Obtain the ultima Hub vector…”

“…Some algorithms based on K-core raised currently, which shows a better performance for screening the critical transmission lines than the new graph theory indexes [15,16]. A second-order Kuramoto oscillator network model was proposed in [17], which analyzed the various situations causing blackout accidents in the low-frequency condition. Unfortunately, only several small-scale electrical power systems were considered in [17].…”

“…A second-order Kuramoto oscillator network model was proposed in [17], which analyzed the various situations causing blackout accidents in the low-frequency condition. Unfortunately, only several small-scale electrical power systems were considered in [17].…”