Photovoltaic Inverter Controllers Seeking AC Optimal Power Flow Solutions

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This paper considers future distribution networks featuring inverter-interfaced photovoltaic (PV) systems, and addresses the synthesis of feedback controllers that seek real-and reactive-power inverter setpoints corresponding to AC optimal power flow (OPF) solutions. The objective is to bridge the temporal gap between long-term system optimization and real-time inverter control, and enable seamless PV-owner participation without compromising system efficiency and stability. The design of the controllers is grounded on a dual -subgradient method, while semidefinite programming relaxations are advocated to bypass the non-convexity of AC OPF formulations. Global convergence of inverter output powers is analytically established for diminishing stepsize rules for cases where: i) computational limits dictate asynchronous updates of the controller signals, and ii) inverter reference inputs may be updated at a faster rate than the power-output settling time.

Original languageEnglish (US)
Article number7272777
Pages (from-to)2809-2823
Number of pages15
JournalIEEE Transactions on Power Systems
Issue number4
StatePublished - Jul 2016

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

Copyright 2016 Elsevier B.V., All rights reserved.


  • Distributed optimization and control
  • distribution systems
  • optimal power flow
  • photovoltaic inverter control

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