Stability of Synchronized Motions of Inverter–Based Microgrids Under Droop Control

Authors

Johannes Schiffer, Romeo Ortega, Alessandro Astolfi, Jörg Raisch, Tevfik Sezi

Abstract

We consider the problems of frequency stability, voltage stability and power sharing in droop–controlled inverter–based microgrids with meshed topologies and dominantly inductive power lines. Assuming that the conductances in the microgrid can be neglected, a port–Hamiltonian description of a droop–controlled microgrid is derived. The model is used to establish sufficient conditions for local stability. Furthermore, we propose a condition for the controller parameters such that a desired steady–state active power distribution is achieved. The robustness of the stability condition with respect to the presence of conductances is analyzed via a simulation example based on the CIGRE benchmark medium voltage distribution network.

Keywords

droop control, inverters, microgrid stability, port–hamiltonian systems

Citation

• Journal: IFAC Proceedings Volumes
• Year: 2014
• Volume: 47
• Issue: 3
• Pages: 6361–6367
• Publisher: Elsevier BV
• DOI: 10.3182/20140824-6-za-1003.00863
• Note: 19th IFAC World Congress

BibTeX

@article{Schiffer_2014,
  title={{Stability of Synchronized Motions of Inverter–Based Microgrids Under Droop Control}},
  volume={47},
  ISSN={1474-6670},
  DOI={10.3182/20140824-6-za-1003.00863},
  number={3},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Schiffer, Johannes and Ortega, Romeo and Astolfi, Alessandro and Raisch, Jörg and Sezi, Tevfik},
  year={2014},
  pages={6361--6367}
}

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