Atomic scheduling of appliance energy consumption in residential smart grids
Article
Kim, K., Lee, S., Ting, T. and Yang, X. 2019. Atomic scheduling of appliance energy consumption in residential smart grids. Energies. 12 (19). https://doi.org/10.3390/en12193666
Type | Article |
---|---|
Title | Atomic scheduling of appliance energy consumption in residential smart grids |
Authors | Kim, K., Lee, S., Ting, T. and Yang, X. |
Abstract | Most of the current formulations of the optimal scheduling of appliance energy consumption use the vectors of appliances’ scheduled energy consumption over equally divided time slots of a day as optimization variables, which does not take into account the atomicity of certain appliances’ operations, i.e., the non-interruptibility of appliances’ operations and the non-throttleability of the energy consumption patterns specific to their operations. In this paper, we provide a new formulation of atomic scheduling of energy consumption based on the optimal routing framework; the flow configurations of users over multiple paths between the common source and destination nodes of a ring network are used as optimization variables, which indicate the starting times of scheduled energy consumption, and optimal scheduling problems are now formulated in terms of the user flow configurations. Because the atomic optimal scheduling results in a Boolean-convex problem for a convex objective function, we propose a successive convex relaxation technique for efficient calculation of an approximate solution, where we iteratively drop fractional-valued elements and apply convex relaxation to the resulting problem until we find a feasible suboptimal solution. Numerical results for the cost and peak-to-average ratio minimization problems demonstrate that the successive convex relaxation technique can provide solutions close to and often identical to global optimal solutions. |
Keywords | atomic scheduling, convex relaxation, demand-side management, energy consumption scheduling, optimal routing, smart grid |
Publisher | MDPI AG |
Journal | Energies |
ISSN | 1996-1073 |
Publication dates | |
Online | 25 Sep 2019 |
Publication process dates | |
Deposited | 27 Sep 2019 |
Accepted | 19 Sep 2019 |
Output status | Published |
Publisher's version | License |
Copyright Statement | © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
Additional information | Article number = 3666 |
Digital Object Identifier (DOI) | https://doi.org/10.3390/en12193666 |
Language | English |
https://repository.mdx.ac.uk/item/887qq
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