Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 45: The Physics of Power grids (joint session DY/SOE)

DY 45.1: Talk

Thursday, April 4, 2019, 10:30–10:45, H6

Comparison of coupled nonlinear oscillator models for the transient response of power generating stations connected to low inertia systems — Marios Zarifakis¹, William Coffey², Yuri Kalmykov³, Serguey Titov⁴, •Declan Byrne², and William Dowling² — ¹Electricity Supply Board, Dublin, Ireland — ²Department of Electronic and Electrical Engineering, Trinity College, Dublin 2, Ireland — ³Laboratoire de Mathematiques et Physique (EA 4217), Universite de Perpignan Via Domitia, F-66860, Perpignan, France — ⁴Kotel'nikov Institute of Radio Engineering and Electronics of the Russian Academy of Sciences, Vvedenskii Square 1, Fryazino, Moscow Region 141120, Russia

Coupled nonlinear oscillators, e.g., Kuramoto models, are commonly used to analyze electrical power systems. Recently the cage model from the statistical mechanics of liquids has also been used for the modelling of the dynamics of synchronously connected generation stations. It appears that while the Kuramoto model is good for describing high inertia grid systems, the cage model allows both high and low inertia grids to be modelled. This is demonstrated by comparing both the synchronization time and relaxation towards synchronization of each model of power generating stations by treating the model equations of motion via a common framework rooted in the dynamics of many coupled phase oscillators. A solution of these equations via matrix continued fractions is implemented rendering the characteristic relaxation times of a grid-generator system over a wide range of inertia and damping.