Universität zu Köln

Witthaut, Dirk, Hellmann, Frank ORCID: 0000-0001-5635-4949, Kurths, Jurgen, Kettemann, Stefan ORCID: 0000-0003-2214-9271, Meyer-Ortmanns, Hildegard ORCID: 0000-0001-9882-6529 and Timme, Marc ORCID: 0000-0002-5956-3137 (2022). Collective nonlinear dynamics and self-organization in decentralized power grids. Rev. Mod. Phys., 94 (1). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1539-0756

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Abstract

The ongoing transition to renewable energy supply comes with a restructuring of power grids, changing their effective interaction topologies, more and more strongly decentralizing them and substantially modifying their input, output, and response characteristics. All of these changes imply that power grids become increasingly affected by collective, nonlinear dynamic phenomena, structurally and dynamically more distributed and less predictable in space and time, more heterogeneous in its building blocks, and as a consequence less centrally controllable. Here cornerstone aspects of data driven and mathematical modeling of collective dynamical phenomena emerging in real and model power grid networks by combining theories from nonlinear dynamics, stochastic processes and statistical physics, anomalous statistics, optimization, and graph theory are reviewed. The mathematical background required for adequate modeling and analysis approaches is introduced, an overview of power system models is given, and a range of collective dynamical phenomena are focused on, including synchronization and phase locking, flow (re)routing, Braess's paradox, geometric frustration, and spreading and localization of perturbations and cascading failures, as well as the nonequilibrium dynamics of power grids, where fluctuations play a pivotal role.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Witthaut, Dirk UNSPECIFIED UNSPECIFIED UNSPECIFIED Hellmann, Frank UNSPECIFIED orcid.org/0000-0001-5635-4949 UNSPECIFIED Kurths, Jurgen UNSPECIFIED UNSPECIFIED UNSPECIFIED Kettemann, Stefan UNSPECIFIED orcid.org/0000-0003-2214-9271 UNSPECIFIED Meyer-Ortmanns, Hildegard UNSPECIFIED orcid.org/0000-0001-9882-6529 UNSPECIFIED Timme, Marc UNSPECIFIED orcid.org/0000-0002-5956-3137 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-689519
DOI:	10.1103/RevModPhys.94.015005
Journal or Publication Title:	Rev. Mod. Phys.
Volume:	94
Number:	1
Date:	2022
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1539-0756
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language TRANSIENT STABILITY; COMPLEX NETWORKS; FLOW LITERATURE; REACTIVE POWER; CLIMATE-CHANGE; ENERGY SYSTEM; MODEL; ELECTRICITY; WIND; SYNCHRONIZATION Multiple languages Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/68951