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2016 | OriginalPaper | Chapter

Optimal Battery Control for Smart Grid Nodes

Authors : Andreas Draegert, Andreas Eisenblätter, Inken Gamrath, Axel Werner

Published in: Optimization in the Real World

Publisher: Springer Japan

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Abstract

Energy storages can be of great value when added to power grids. They introduce the possibility to store and release energy whenever this is favorable. This is particularly relevant, for example, if power supply is volatile (as is the case with renewable energy) and the network is small (so that there are few other nodes that might balance fluctuations in consumption or production). We present models and methods from mathematical optimization for computing an optimized storage schedule for this purpose. We look at alternative optimization objectives, such as smallest possible peak load, lowest energy costs, or the closest approximation of a prescribed load curve. The optimization needs to respect general operational and economic constraints as well as limitations in the use of storage, which are imposed by the chosen storage technology. We therefore introduce alternative approaches for modeling the non-linear properties of energy storages and study their impact on the efficiency of the optimization process. Finally, we present a computational study with batteries as storage devices. We use this to highlight the trade-off between solution quality and computational tractability. A version of the model for the purpose of leveling peaks and instabilities has been implemented into a control system for an office-building smart grid scenario.

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Footnotes
1
Scaling factors for the different terms may apply to account for the different time scales involved: whereas the optimization period is usually only 1 day, the transmission fees are computed based on the consumption in a full year, which makes it difficult to arrive at comparable cost values.
 
4
The shifted geometric mean of n values \(a_1,\dots ,a_n \ge 0\) is defined as
$$\bigg (\prod _{i=1}^{n} \left( a_i + s\right) \bigg )^{\frac{1}{n}} - s,$$
where \(s>0\) is a sufficiently small shift parameter.
 
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Metadata
Title
Optimal Battery Control for Smart Grid Nodes
Authors
Andreas Draegert
Andreas Eisenblätter
Inken Gamrath
Axel Werner
Copyright Year
2016
Publisher
Springer Japan
DOI
https://doi.org/10.1007/978-4-431-55420-2_6

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