Robust Scheduling of Smart Appliances in Active Apartments With User Behavior Uncertainty

In this paper, we propose a robust approach for scheduling of smart appliances and electrical energy storages (EESs) in active apartments with the aim of reducing both the electricity bill and the CO 2 emissions. The proposed robust formulation takes the user behavior uncertainty into account so tha...

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Bibliographic Details
Published in:IEEE transactions on automation science and engineering Vol. 13; no. 1; pp. 247 - 259
Main Authors: Paridari, Kaveh, Parisio, Alessandra, Sandberg, Henrik, Johansson, Karl Henrik
Format: Journal Article
Language:English
Published: New York IEEE 01.01.2016
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Apartments
Appliances
Bills
Demand response
Electric appliances
Electricity
Energy consumption
Home appliances
Mathematical models
mixed-integer linear programming
multi-objective robust optimization
Optimal scheduling
Optimization
Processor scheduling
Robust control
robust scheduling of smart appliances
Robustness
Scheduling
Uncertainty
User behavior
user behavior uncertainty
ISSN:1545-5955, 1558-3783, 1558-3783
Online Access:Get full text
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Summary:In this paper, we propose a robust approach for scheduling of smart appliances and electrical energy storages (EESs) in active apartments with the aim of reducing both the electricity bill and the CO 2 emissions. The proposed robust formulation takes the user behavior uncertainty into account so that the optimal appliances schedule is less sensitive to unpredictable changes in user preferences. The user behavior uncertainty is modeled as uncertainty in the cost function coefficients. In order to reduce the level of conservativeness of the robust solution, we introduce a parameter allowing to achieve a trade-off between the price of robustness and the protection against uncertainty. Mathematically, the robust scheduling problem is posed as a multi-objective Mixed Integer Linear Programming (MILP), which is solved by using standard algorithms. The numerical results show effectiveness of the proposed approach to increase both the electricity bill and CO 2 emissions savings, in the presence of user behavior uncertainties. Mathematical insights into the robust formulation are illustrated and the sensitivity of the optimum cost in the presence of uncertainties is investigated. Although home appliances and EESs are considered in this work, we point out that the proposed scheduling framework is generally applicable to many use cases, e.g., charging and discharging of electrical vehicles in an effective way. In addition, it is applicable to various scenarios considering different uncertainty sources, different storage technologies and generic programmable electrical loads, as well as different optimization criteria.
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ISSN:1545-5955
1558-3783
1558-3783
DOI:10.1109/TASE.2015.2497300