Cooperative Behavior of Prosumers in Integrated Energy Systems

The technical complexity of organizing energy systems’ operation has recently been compounded by the complexity of reconciling the interests of individual entities involved in interactions. This study proposes a possible solution to the problem of modeling their relationships within a large system....

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Main Authors: Natalia Aizenberg, Evgeny Barakhtenko, Gleb Mayorov
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/12/24/4005
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author Natalia Aizenberg
Evgeny Barakhtenko
Gleb Mayorov
author_facet Natalia Aizenberg
Evgeny Barakhtenko
Gleb Mayorov
author_sort Natalia Aizenberg
collection DOAJ
description The technical complexity of organizing energy systems’ operation has recently been compounded by the complexity of reconciling the interests of individual entities involved in interactions. This study proposes a possible solution to the problem of modeling their relationships within a large system. Our solution takes into account multiple levels of interactions, imperfect information, and conflicting interests. We present a mathematical statement of the problem of optimal interactions between the centralized system and prosumers in the integrated energy system (IES) with due consideration of the layered architecture of the IES. The paper also contributes a model for arranging the interactions between centralized and distributed energy sources for cases when IES prosumers form coalitions. The implementation of this model is based on multi-agent techniques and cooperative game theory tools. In order to arrive at a rational arrangement of the interactions of prosumers in the IES, the model implements different approaches to the allocation of the coalition’s total payoff (the Shapley value, Modiclus, PreNucleolus solution concepts). Furthermore, we propose a criterion for deciding on the “best” imputation. We contribute a multi-agent system that implements the proposed model and use a test IES setup to validate the model by simulations. The results of the simulations ensure optimal interactions between the entities involved in the energy supply process within the IES and driven by their own interests. The results also elucidate the conditions that make it feasible for prosumers to form coalitions.
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spelling doaj-art-f1e26aa1b6c64d71b64a504a528e79a22025-08-20T02:00:29ZengMDPI AGMathematics2227-73902024-12-011224400510.3390/math12244005Cooperative Behavior of Prosumers in Integrated Energy SystemsNatalia Aizenberg0Evgeny Barakhtenko1Gleb Mayorov2Melentiev Energy Systems Institute of Siberian Branch of the Russian Academy of Sciences, 664033 Irkutsk, RussiaMelentiev Energy Systems Institute of Siberian Branch of the Russian Academy of Sciences, 664033 Irkutsk, RussiaMelentiev Energy Systems Institute of Siberian Branch of the Russian Academy of Sciences, 664033 Irkutsk, RussiaThe technical complexity of organizing energy systems’ operation has recently been compounded by the complexity of reconciling the interests of individual entities involved in interactions. This study proposes a possible solution to the problem of modeling their relationships within a large system. Our solution takes into account multiple levels of interactions, imperfect information, and conflicting interests. We present a mathematical statement of the problem of optimal interactions between the centralized system and prosumers in the integrated energy system (IES) with due consideration of the layered architecture of the IES. The paper also contributes a model for arranging the interactions between centralized and distributed energy sources for cases when IES prosumers form coalitions. The implementation of this model is based on multi-agent techniques and cooperative game theory tools. In order to arrive at a rational arrangement of the interactions of prosumers in the IES, the model implements different approaches to the allocation of the coalition’s total payoff (the Shapley value, Modiclus, PreNucleolus solution concepts). Furthermore, we propose a criterion for deciding on the “best” imputation. We contribute a multi-agent system that implements the proposed model and use a test IES setup to validate the model by simulations. The results of the simulations ensure optimal interactions between the entities involved in the energy supply process within the IES and driven by their own interests. The results also elucidate the conditions that make it feasible for prosumers to form coalitions.https://www.mdpi.com/2227-7390/12/24/4005cooperative game theorymulti-agent approachdistributed generationprosumerintegrated energy system
spellingShingle Natalia Aizenberg
Evgeny Barakhtenko
Gleb Mayorov
Cooperative Behavior of Prosumers in Integrated Energy Systems
Mathematics
cooperative game theory
multi-agent approach
distributed generation
prosumer
integrated energy system
title Cooperative Behavior of Prosumers in Integrated Energy Systems
title_full Cooperative Behavior of Prosumers in Integrated Energy Systems
title_fullStr Cooperative Behavior of Prosumers in Integrated Energy Systems
title_full_unstemmed Cooperative Behavior of Prosumers in Integrated Energy Systems
title_short Cooperative Behavior of Prosumers in Integrated Energy Systems
title_sort cooperative behavior of prosumers in integrated energy systems
topic cooperative game theory
multi-agent approach
distributed generation
prosumer
integrated energy system
url https://www.mdpi.com/2227-7390/12/24/4005
work_keys_str_mv AT nataliaaizenberg cooperativebehaviorofprosumersinintegratedenergysystems
AT evgenybarakhtenko cooperativebehaviorofprosumersinintegratedenergysystems
AT glebmayorov cooperativebehaviorofprosumersinintegratedenergysystems