Universität zu Köln

Balestra, Chiara, Kaiser, Franz ORCID: 0000-0002-7089-2249, Manik, Debsankha and Witthaut, Dirk ORCID: 0000-0002-3623-5341 (2019). Multistability in lossy power grids and oscillator networks. Chaos, 29 (12). MELVILLE: AMER INST PHYSICS. ISSN 1089-7682

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Abstract

Networks of phase oscillators are studied in various contexts, in particular, in the modeling of the electric power grid. A functional grid corresponds to a stable steady state such that any bifurcation can have catastrophic consequences up to a blackout. Also, the existence of multiple steady states is undesirable as it can lead to transitions or circulatory flows. Despite the high practical importance there is still no general theory of the existence and uniqueness of steady states in such systems. Analytic results are mostly limited to grids without Ohmic losses. In this article, we introduce a method to systematically construct the solutions of the real power load-flow equations in the presence of Ohmic losses and explicitly compute them for tree and ring networks.We investigate different mechanisms leading to multistability and discuss the impact of Ohmic losses on the existence of solutions. Published under license by AIP Publishing.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Balestra, Chiara UNSPECIFIED UNSPECIFIED UNSPECIFIED Kaiser, Franz UNSPECIFIED orcid.org/0000-0002-7089-2249 UNSPECIFIED Manik, Debsankha UNSPECIFIED UNSPECIFIED UNSPECIFIED Witthaut, Dirk UNSPECIFIED orcid.org/0000-0002-3623-5341 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-125521
DOI:	10.1063/1.5122739
Journal or Publication Title:	Chaos
Volume:	29
Number:	12
Date:	2019
Publisher:	AMER INST PHYSICS
Place of Publication:	MELVILLE
ISSN:	1089-7682
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FLOW SOLUTION; SYNCHRONIZATION; KURAMOTO; UNIQUENESS; EXISTENCE; STABILITY; MODEL Multiple languages Mathematics, Applied; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/12552