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

Download (657.53 kB)
posted on 2023-08-07, 15:52 authored by Jonas Schmitt, Stefan EcklebeStefan Ecklebe, Sebastian Krahmer, Klaus Röbenack, Peter Schegner

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 with a certain slope 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 optimisation-based 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.


Deutsche Forschungsgemeinschaft (DFG) - Project number 442893506


Email Address of Submitting Author

ORCID of Submitting Author


Submitting Author's Institution

TUD Dresden University of Technology

Submitting Author's Country

  • Germany