Home // ENERGY 2021, The Eleventh International Conference on Smart Grids, Green Communications and IT Energy-aware Technologies // View article

Stability and Control of Power Grids with Diluted Network Topology

Authors:
Liudmila Tumash
Simona Olmi
Eckehard Schöll

Keywords: power grids, sychronization, stability, control, diluted network.

Abstract:
We consider sparse random networks of Kuramoto phase oscillators with inertia in order to investigate the dynamics emerging in high-voltage power grids. The corresponding natural frequencies are assumed to be bimodally Gaussian distributed, thus modeling the distribution of both power generators and consumers, which must be in balance. Our main focus is on the theoretical analysis of the linear stability of the frequency-synchronized state, which is necessary for the stable operation of power grids, and the control of unstable synchronous states. We demonstrate by numerical simulations that unstable frequency-synchronized states can be stabilized by feedback control. Further, we extend our study to include stochastic temporal power fluctuations and discuss the interplay of topological disorder and Gaussian white noise for various model configurations. Our results are compared with those obtained for the real power grid topology of Italy.

Pages: 4 to 6

Copyright: Copyright (c) IARIA, 2021

Publication date: May 30, 2021

Published in: conference

ISSN: 2308-412X

ISBN: 978-1-61208-855-6

Location: Valencia, Spain

Dates: from May 30, 2021 to June 3, 2021