Distributed control enforcing group sparsity in smart grids

Authors

P. Sauerteig, Y. Jiang, B. Houska, K. Worthmann

Reference

IFAC-PapersOnLine
Volume 53, Issue 2, 2020, Pages 13269-13274

Abstract

In modern smart grids, charging of local energy storage devices is coordinated on a residential level to compensate the volatile aggregated power demand on the time interval of interest. However, this results in a perpetual usage of all batteries which reduces their lifetime. We enforce group sparsity by using an l-p-q-regularization on the control to counteract this phenomenon. This leads to a non-smooth convex optimization problem, for which we propose a tailored Alternating Direction Method of Multipliers algorithm. We elaborate further how to embed it in a Model Predictive Control framework. We show that the proposed scheme yields sparse control while achieving reasonable overall peak shaving by numerical simulations.

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Bibtex

@INPROCEEDINGS{Sauerteig2020,
author = {Sauerteig, P. and Jiang, Y. and Houska, B. and Worthmann, K.},
title = {Distributed control enforcing group sparsity in smart grids},
booktitle = {In Proceedings of the 21st IFAC World Congress, Berlin, Germany},
year = {2020},
pages = {13269–13274},
volume = {53},
number = {2}
}