Quasi-stationarity of electric power grid dynamics based on a spatially embedded Kuramoto model

Author

Mangesius, Herbert ; Hirche, Sandra ; Obradovic, Darko

Author_Institution

Inst. for Adv. Study (IAS), Tech. Univ. Munchen (TUM), Garching, Germany

fYear

2012

fDate

27-29 June 2012

Firstpage

2159

Lastpage

2164

Abstract

A novel and simple network model that is capable to reproduce quasi-stationary behavior and propagation phenomena in electric power grid dynamics is introduced. A new Kuramoto approximation to distributed generator dynamics is obtained from combining a continuous spatial interaction function with a discrete lattice model representing generator positions and network structure over a continuous spatial domain. At hand of model properties and a numerical study quasi-stationarity of electric power grid dynamics results, being related to non-vanishing fluctuation and oscillations in stationary state.

Keywords

approximation theory; electric generators; power grids; power system stability; Kuramoto approximation; continuous spatial domain; continuous spatial interaction function; discrete lattice model; distributed generator dynamics; electric power grid dynamics; nonvanishing fluctuation; nonvanishing oscillations; numerical study quasistationarity; spatially embedded Kuramoto model; Approximation methods; Couplings; Generators; Mathematical model; Oscillators; Power system dynamics;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2012

Conference_Location

Montreal, QC

ISSN

0743-1619

Print_ISBN

978-1-4577-1095-7

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2012.6315520

Filename

6315520