Description: Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses, and voltage dynamics

This title appears in the Scientific Report : 2022

Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses, and voltage dynamics

Dynamic stability is imperative for the operation of the electric power system. This article provides analytical results and effective stabilitycriteria focusing on the interplay of network structures and the local dynamics of synchronous machines. The results are based on an extensivelinear stabili...

Personal Name(s):	Böttcher, Philipp (Corresponding author)
	Witthaut, Dirk / Rydin Gorjão, Leonardo
Contributing Institute:	Systemforschung und Technologische Entwicklung; IEK-STE
Published in:	Chaos, 32 (2022) 5, S. 053117 -
Imprint:	Woodbury, NY American Institute of Physics 2022
DOI:	10.1063/5.0082712
Document Type:	Journal Article
Research Program:	Kollektive Nichtlineare Dynamik Komplexer Stromnetze Societally Feasible Transformation Pathways
Link:	Published on 2022-05-10. Available in OpenAccess from 2023-05-10.
	Publikationsportal JuSER

Please use the identifier: http://dx.doi.org/10.1063/5.0082712 in citations.
Please use the identifier: http://hdl.handle.net/2128/31176 in citations.

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