An Integer Non-Cooperative Game Approach for the Transactive Control of Thermal Appliances in Energy Communities

Non-cooperative scheduling games can be used to coordinate residential loads in order to achieve a common goal while accounting for individual consumer’s interests, privacy, and autonomy. However, a significant portion of the residential flexibility—Thermostatically Controlled Loads (TCLs) such as w...

Full description

Bibliographic Details
Main Authors: Luciana Marques, Wadaed Uturbey, Miguel Heleno
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/14/21/6971
_version_ 1827678217188671488
author Luciana Marques
Wadaed Uturbey
Miguel Heleno
author_facet Luciana Marques
Wadaed Uturbey
Miguel Heleno
author_sort Luciana Marques
collection DOAJ
description Non-cooperative scheduling games can be used to coordinate residential loads in order to achieve a common goal while accounting for individual consumer’s interests, privacy, and autonomy. However, a significant portion of the residential flexibility—Thermostatically Controlled Loads (TCLs) such as water and space heating/cooling appliances—has not been fully addressed under this game theoretic approach: their comfort constraints and integer control were not considered. This paper presents a method for properly including TCLs in this framework and discusses its application in energy communities. Specifically, we propose a general mathematical formulation for considering users’ comfort in non-cooperative games. We model the integer nature of the TCLs control with binary variables and show that optimal or close to optimal (less than 1%) solutions are reached. Moreover, different total cost functions can be used depending on the market context and the objective of the demand management program. To illustrate and discuss these aspects in practical applications, we used a case study of an energy community in Spain. The results show that the TC solutions are optimal or only 0.80% worse than optimal; different total cost functions result in different results (load curve smoothing or peak load reduction); consumers’ comfort is respected; and the proposed game model cooperates with consumers in order to minimize community’s costs.
first_indexed 2024-03-10T06:03:21Z
format Article
id doaj.art-1cfd37898da54b4cad41f879d580b8d6
institution Directory Open Access Journal
issn 1996-1073
language English
last_indexed 2024-03-10T06:03:21Z
publishDate 2021-10-01
publisher MDPI AG
record_format Article
series Energies
spelling doaj.art-1cfd37898da54b4cad41f879d580b8d62023-11-22T20:41:39ZengMDPI AGEnergies1996-10732021-10-011421697110.3390/en14216971An Integer Non-Cooperative Game Approach for the Transactive Control of Thermal Appliances in Energy CommunitiesLuciana Marques0Wadaed Uturbey1Miguel Heleno2Graduate Program in Electrical Engineering, Universidade Federal de Minas Gerais, Av. Antonio Carlos 6627, Belo Horizonte 31270-901, MG, BrazilGraduate Program in Electrical Engineering, Universidade Federal de Minas Gerais, Av. Antonio Carlos 6627, Belo Horizonte 31270-901, MG, BrazilLawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, CA 94720, USANon-cooperative scheduling games can be used to coordinate residential loads in order to achieve a common goal while accounting for individual consumer’s interests, privacy, and autonomy. However, a significant portion of the residential flexibility—Thermostatically Controlled Loads (TCLs) such as water and space heating/cooling appliances—has not been fully addressed under this game theoretic approach: their comfort constraints and integer control were not considered. This paper presents a method for properly including TCLs in this framework and discusses its application in energy communities. Specifically, we propose a general mathematical formulation for considering users’ comfort in non-cooperative games. We model the integer nature of the TCLs control with binary variables and show that optimal or close to optimal (less than 1%) solutions are reached. Moreover, different total cost functions can be used depending on the market context and the objective of the demand management program. To illustrate and discuss these aspects in practical applications, we used a case study of an energy community in Spain. The results show that the TC solutions are optimal or only 0.80% worse than optimal; different total cost functions result in different results (load curve smoothing or peak load reduction); consumers’ comfort is respected; and the proposed game model cooperates with consumers in order to minimize community’s costs.https://www.mdpi.com/1996-1073/14/21/6971energy communitiesload schedulingnon-cooperative gamesthermostatically controlled loadstransactive control
spellingShingle Luciana Marques
Wadaed Uturbey
Miguel Heleno
An Integer Non-Cooperative Game Approach for the Transactive Control of Thermal Appliances in Energy Communities
Energies
energy communities
load scheduling
non-cooperative games
thermostatically controlled loads
transactive control
title An Integer Non-Cooperative Game Approach for the Transactive Control of Thermal Appliances in Energy Communities
title_full An Integer Non-Cooperative Game Approach for the Transactive Control of Thermal Appliances in Energy Communities
title_fullStr An Integer Non-Cooperative Game Approach for the Transactive Control of Thermal Appliances in Energy Communities
title_full_unstemmed An Integer Non-Cooperative Game Approach for the Transactive Control of Thermal Appliances in Energy Communities
title_short An Integer Non-Cooperative Game Approach for the Transactive Control of Thermal Appliances in Energy Communities
title_sort integer non cooperative game approach for the transactive control of thermal appliances in energy communities
topic energy communities
load scheduling
non-cooperative games
thermostatically controlled loads
transactive control
url https://www.mdpi.com/1996-1073/14/21/6971
work_keys_str_mv AT lucianamarques anintegernoncooperativegameapproachforthetransactivecontrolofthermalappliancesinenergycommunities
AT wadaeduturbey anintegernoncooperativegameapproachforthetransactivecontrolofthermalappliancesinenergycommunities
AT miguelheleno anintegernoncooperativegameapproachforthetransactivecontrolofthermalappliancesinenergycommunities
AT lucianamarques integernoncooperativegameapproachforthetransactivecontrolofthermalappliancesinenergycommunities
AT wadaeduturbey integernoncooperativegameapproachforthetransactivecontrolofthermalappliancesinenergycommunities
AT miguelheleno integernoncooperativegameapproachforthetransactivecontrolofthermalappliancesinenergycommunities