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

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

Research output: Contribution to conferencePaperpeer-review

16 Scopus Citations


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 pages6
StatePublished - 17 Nov 2016
Event48th North American Power Symposium, NAPS 2016 - Denver, United States
Duration: 18 Sep 201620 Sep 2016


Conference48th North American Power Symposium, NAPS 2016
Country/TerritoryUnited States

Bibliographical note

See NREL/CP-5D00-66847

NREL Publication Number

  • NREL/CP-5D00-67832


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


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