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Article

Impact of Social Welfare Metrics on Energy Allocation in Multi-Objective Optimization

1
Center for Energy Informatics, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark
2
Laboratoire d’Informatique de Grenoble, CNRS, Batiment IMAG—700 avenue Centrale, Domaine Universitaire—CS 40700, F-38058 Grenoble cx 9, France
*
Author to whom correspondence should be addressed.
Energies 2020, 13(11), 2961; https://doi.org/10.3390/en13112961
Received: 24 April 2020 / Revised: 25 May 2020 / Accepted: 31 May 2020 / Published: 9 June 2020
(This article belongs to the Special Issue Demand Response in Smart Grids)
Resource allocation problems are at the core of the smart grid where energy supply and demand must match. Multi-objective optimization can be applied in such cases to find the optimal allocation of energy resources among consumers considering energy domain factors such as variable and intermittent production, market prices, or demand response events. In this regard, this paper considers consumer energy demand and system-wide energy constraints to be individual objectives and optimization variables to be the allocation of energy over time to each of the consumers. This paper considers a case in which multi-objective optimization is used to generate Pareto sets of solutions containing possible allocations for multiple energy intensive consumers constituted by commercial greenhouse growers. We consider the problem of selecting a final solution from these Pareto sets, one of maximizing the social welfare between objectives. Social welfare is a set of metrics often applied to multi-agent systems to evaluate the overall system performance. We introduce and apply social welfare ordering using different social welfare metrics to select solutions from these sets to investigate the impact of the type of social welfare metric on the optimization outcome. The results of our experiments indicate how different social welfare metrics affect the optimization outcome and how that translates to general resource allocation strategies. View Full-Text
Keywords: multi-objective optimization; social welfare metrics; energy allocation multi-objective optimization; social welfare metrics; energy allocation
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MDPI and ACS Style

Clausen, A.; Umair, A.; Demazeau, Y.; Jørgensen, B.N. Impact of Social Welfare Metrics on Energy Allocation in Multi-Objective Optimization. Energies 2020, 13, 2961. https://doi.org/10.3390/en13112961

AMA Style

Clausen A, Umair A, Demazeau Y, Jørgensen BN. Impact of Social Welfare Metrics on Energy Allocation in Multi-Objective Optimization. Energies. 2020; 13(11):2961. https://doi.org/10.3390/en13112961

Chicago/Turabian Style

Clausen, Anders; Umair, Aisha; Demazeau, Yves; Jørgensen, Bo N. 2020. "Impact of Social Welfare Metrics on Energy Allocation in Multi-Objective Optimization" Energies 13, no. 11: 2961. https://doi.org/10.3390/en13112961

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