A proximal atomic coordination algorithm for distributed optimization in distribution grids

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.

Department dc:contributor.department

Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2018

Author dc:creator

• Romvary, Jordan (Jordan Joseph)

Advisor dc:contributor.advisor

• Anuradha Annaswamy.

• Electrical Engineering and Computer Science.

Statement dc:rights

• MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/117843

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/117843