Regulation of Dynamical Systems to Optimal Solutions of Semidefinite Programs: Algorithms and Applications to AC Optimal Power Flow

Emiliano Dall-Anese, Sairaj Dhople, Georgios Giannakis

Research output: Contribution to conferencePaper

8 Scopus Citations

Abstract

This paper considers a collection of networked nonlinear dynamical systems, and addresses the synthesis of feedback controllers that seek optimal operating points corresponding to the solution of pertinent network-wide optimization problems. Particular emphasis is placed on the solution of semidefinite programs (SDPs). The design of the feedback controller is grounded on a dual e-subgradient approach, with the dual iterates utilized to dynamically update the dynamical-system reference signals. Global convergence is guaranteed for diminishing stepsize rules, even when the reference inputs are updated at a faster rate than the dynamical-system settling time. The application of the proposed framework to the control of power-electronic inverters in AC distribution systems is discussed. The objective is to bridge the time-scale separation between real-time inverter control and network-wide optimization. Optimization objectives assume the form of SDP relaxations of prototypical AC optimal power flow problems.
Original languageAmerican English
Pages2087-2092
Number of pages6
DOIs
StatePublished - 2015
Event2015 American Control Conference (ACC) - Chicago, Illinois
Duration: 1 Jul 20153 Jul 2015

Conference

Conference2015 American Control Conference (ACC)
CityChicago, Illinois
Period1/07/153/07/15

NREL Publication Number

  • NREL/CP-5D00-65134

Keywords

  • feedback controller
  • nonlinear dynamical system
  • semidefinite programs

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