Local Voltage Control in Distribution Networks: A Game-Theoretic Perspective: Preprint

Emiliano Dall-Anese, Xinyang Zhou, Jie Tian, Lijun Chen

Research output: Contribution to conferencePaper


Inverter-based voltage regulation is gaining importance to alleviate emerging reliability and power-quality concerns related to distribution systems with high penetration of photovoltaic (PV) systems. This paper seeks contribution in the domain of reactive power compensation by establishing stability of local Volt/VAr controllers. In lieu of the approximate linear surrogate used in the existing work, the paper establishes existence and uniqueness of an equilibrium point using nonlinear AC power flow model. Key to this end is to consider a nonlinear dynamical system with non-incremental local Volt/VAr control, cast the Volt/VAr dynamics as a game, and leverage the fixed-point theorem as well as pertinent contraction mapping argument. Numerical examples are provided to complement the analytical results.
Original languageAmerican English
Number of pages8
StatePublished - 2016
Event2016 North American Power Symposium (NAPS) - Denver, Colorado
Duration: 18 Sep 201620 Sep 2016


Conference2016 North American Power Symposium (NAPS)
CityDenver, Colorado

NREL Publication Number

  • NREL/CP-5D00-66847


  • distribution systems
  • game theory
  • photovoltaic systems
  • stability
  • Volt/VAr control
  • voltage regulation


Dive into the research topics of 'Local Voltage Control in Distribution Networks: A Game-Theoretic Perspective: Preprint'. Together they form a unique fingerprint.

Cite this