An extended stability criterion for grids with Q(V)-controlled distributed energy resources

Research output: Contribution to conferencesPaperContributedpeer-review



As the number of distributed energy resources in today’s energy distribution grids is growing, measures must be taken to keep the voltage magnitudes in the grid within the operational limits. One prevalent way of doing this is to use voltage dependent reactive power provisioning, so-called Q(V )-control, where a Q(V )-characteristic prescribes how much reactive power is used to stabilise the node voltage. However, due to their interconnection by the power grid, the combined Q(V )-controls of several plants may become unstable. The first part of this paper revisits an existing stability criterion from the literature, based on a discrete-time model of Q(V )-control but limited to radial topologies, in order to assess how steep the slopes can be chosen. In the second part, this criterion is
extended to grids with arbitrary topologies by introducing a more general grid model which explicitly takes the current operating point of the grid into account. Furthermore, an optimisationbased procedure is presented to exploit this new criterion for the direct maximisation of the slopes of the Q(V )-characteristics while guaranteeing stability of the system. Finally, both criteria are compared by applying them on selected benchmark grids.


Original languageEnglish
Number of pages6
Publication statusPublished - 17 Nov 2023


TitleIEEE Power and Energy Student Summit 2023
Abbreviated titlePESS 2023
Duration15 - 17 November 2023
Degree of recognitionNational event
LocationHochschule Bielefeld

External IDs

ORCID /0000-0001-8439-7786/work/142659469
ORCID /0000-0002-4911-1233/work/142660475
ORCID /0000-0002-3347-0864/work/142660632


Research priority areas of TU Dresden

Subject groups, research areas, subject areas according to Destatis

Sustainable Development Goals


  • Power system stability, Automatic voltage control, Discrete-time systems, Reactive power, Stability criteria, Stabilitätskriterium, Automatische Spannungsregelung, Zeitdiskrete Systeme, Blindleistung, Energiesystem