A proximal atomic coordination algorithm for distributed optimization in distribution grids
Author(s)Romvary, Jordan (Jordan Joseph)
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science.
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The control and regulation of power grids has historically relied upon large-scale scheduleable generation and relatively stable load demand profiles. With the advent of extensive local renewable energy generation technologies as well as the incorporation of load responsive demand response (DR) methodologies, it has become imperative that new distributed control strategies are developed to better regulate the increasingly volatile nature of modern generation and load profiles. In this thesis, we introduce a distributed control strategy called Proximal Atomic Coordination (PAC) to solve for optimal control strategies in distributed power grids, a problem called Optimal Power Flow (OPF). Using a convex relaxed variant of OPF, we show that PAC exhibits sub-linear convergence to the optimal ergodic cost, and linear convergence to the OPF solution. We demonstrate our results on various power grid topologies with large levels of renewable energy penetration and DR, and show that PAC converges to optimal control profiles in these scenarios. We further show that in certain regimes PAC outperforms the standard distributed 2-Block ADMM algorithm, and we discuss the benefits of using PAC over 2-Block ADMM and other standard distributed solvers.
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2018.This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.Cataloged from student-submitted PDF version of thesis.Includes bibliographical references (pages 299-304).
DepartmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Science.; Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology
Electrical Engineering and Computer Science.