Regensburg 2019 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 45: The Physics of Power grids (joint session DY/SOE)
DY 45.1: Vortrag
Donnerstag, 4. April 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.