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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.
In: Proceedings of the 54th IEEE Conference on Decision and Control (CDC 2015). - Piscataway, NJ : IEEE , 2015 . - pp. 5593-5598
DOI: https://doi.org/10.1109/CDC.2015.7403096

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Project information

Project title:
Project's official titleProject's id
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 FellowshipFT1101000746

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: Article in a book
Refereed: Yes
Keywords: distributed control; smart grid; hierarchical control
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne)
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS)
Research Institutions
Research Institutions > Research Centres
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 29 Jan 2016 08:06
Last Modified: 15 Dec 2016 11:19
URI: https://eref.uni-bayreuth.de/id/eprint/30103

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