Universität zu Köln

Boettcher, Philipp C., Witthaut, Dirk and Rydin Gorjao, Leonardo (2022). Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses, and voltage dynamics. Chaos, 32 (5). MELVILLE: AIP Publishing. ISSN 1089-7682

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Abstract

Dynamic stability is imperative for the operation of the electric power system. This article provides analytical results and effective stability criteria focusing on the interplay of network structures and the local dynamics of synchronous machines. The results are based on an extensive linear stability analysis of the third-order model for synchronous machines, comprising the classical power-swing equations and the voltage dynamics. The article addresses the impact of Ohmic losses, which are important in distribution and microgrids but often neglected in analytical studies. We compute the shift of the stability boundaries to leading order, and thus provide a detailed qualitative picture of the impact of Ohmic losses. A subsequent numerical study of the criteria is presented, without and with resistive terms, to test how tight the derived analytical results are. Published under an exclusive license by AIP Publishing.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Boettcher, Philipp C. UNSPECIFIED UNSPECIFIED UNSPECIFIED Witthaut, Dirk UNSPECIFIED UNSPECIFIED UNSPECIFIED Rydin Gorjao, Leonardo UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-675478
DOI:	10.1063/5.0082712
Journal or Publication Title:	Chaos
Volume:	32
Number:	5
Date:	2022
Publisher:	AIP Publishing
Place of Publication:	MELVILLE
ISSN:	1089-7682
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SYNCHRONIZATION; MODEL; IMPACT Multiple languages Mathematics, Applied; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/67547