Modeling and Control of Wave Propagation in a Ring With Applications to Power Grids

Sirota, Lea; Annaswamy, Anuradha M.

doi:10.1109/tac.2018.2889064

Cited by 2 publications

(1 citation statement)

References 38 publications

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“…The first considers the propagation of disturbances in the grid in the form of low frequency (order of 0.1-1 Hz) electromechanical waves 43,44 . A continuum model was constructed to describe the traveling wave along transmission lines 43 , based on which a control method was proposed to damp the dynamics 45 . With the grid getting more and more extensive and complex, it is imperative to ensure that effective protection schemes are in place against damaging electromechanical waves 46 and advanced techniques are used to monitor them 47 .…”

Section: Introductionmentioning

confidence: 99%

Low-frequency oscillations in coupled phase oscillators with inertia

Song

Zhang

et al. 2019

Sci Rep

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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.

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