Predictive control of a smart grid: a distributed optimization algorithm with centralized performance properties

Title data

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl: Predictive control of a smart grid: a distributed optimization algorithm with centralized performance properties.
Department of Mathematics, University of Bayreuth
Bayreuth
,
2015
. - 8 p.

DFG Priority Program 1305 "Control theory for digitally networked dynamical systems", Project "Performance Analysis for Distributed and Multiobjective Model Predictive Control"

GR1569/13-1

ARC Future Fellowship

FT1101000746

Project financing:

Deutsche Forschungsgemeinschaft

Abstract in another language

The authors recently proposed several model predictive control (MPC) approaches to managing residential level energy generation and storage, including centralized, distributed, and decentralized schemes. As expected, the distributed and decentralized schemes result in a loss of performance but are scalable and more flexible with regards to network topology. In this paper we present a distributed optimization approach which asymptotically recovers the performance of the centralized optimization problem performed in MPC at each time step. Simulations using data from an Australian electricity distribution company, Ausgrid, are provided showing the benefit of a variable step size in the algorithm and the impact of an increasing number of participating residential energy systems. Furthermore, when used in a receding horizon scheme, simulations indicate that terminating the iterative distributed optimization algorithm before convergence does not result in a significant loss of performance.

Further data

Item Type:

Preprint, postprint, working paper, discussion paper

Additional notes:

Accepted for Publication at the 54th IEEE Conference on Decision and Control

Keywords:

distributed control; smart grid; hierarchical control

Predictive control of a smart grid: a distributed optimization algorithm with centralized performance properties. (deposited 04 Apr 2015 21:00)[Currently Displayed]