A Distortion-Based Potential Game for Secondary Voltage Control in Micro-Grids

In this work, we present a multi-agent learning model based on the maximum entropy (MAXEnt) and the rate distortion function to define, respectively, the environment of the agents and their understanding about it. The avoidance of redundant information under distortion conditions is used to define a...

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Main Authors: David Alejandro Martinez, Eduardo Mojica-Nava, Ameena Saad Al-Sumaiti, Sergio Rivera
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9117110/
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author David Alejandro Martinez
Eduardo Mojica-Nava
Ameena Saad Al-Sumaiti
Sergio Rivera
author_facet David Alejandro Martinez
Eduardo Mojica-Nava
Ameena Saad Al-Sumaiti
Sergio Rivera
author_sort David Alejandro Martinez
collection DOAJ
description In this work, we present a multi-agent learning model based on the maximum entropy (MAXEnt) and the rate distortion function to define, respectively, the environment of the agents and their understanding about it. The avoidance of redundant information under distortion conditions is used to define a distortion-based potential function that is minimized in order to find an equilibrium point in a potential game setting, in which the Lagrange multiplier β, used as input in the Blahut-Arimoto algorithm, determines the rationality in the learning process. The model performance is evaluated in a secondary voltage controller in order to achieve reactive power sharing between distributed generators (DGs) in a micro-grid. Simulation results demonstrate a good response in terms of reactive power distribution when the load is increased in a DG without considerable affectations in the voltage stability.
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spelling doaj.art-5e58b885cb074c3ba781d04cb9ab18eb2022-12-21T17:25:40ZengIEEEIEEE Access2169-35362020-01-01811061111062210.1109/ACCESS.2020.30027139117110A Distortion-Based Potential Game for Secondary Voltage Control in Micro-GridsDavid Alejandro Martinez0https://orcid.org/0000-0001-9750-2653Eduardo Mojica-Nava1Ameena Saad Al-Sumaiti2https://orcid.org/0000-0002-7742-8596Sergio Rivera3https://orcid.org/0000-0002-2995-1147Department of Electrical and Electronics Engineering, Universidad Nacional de Colombia, Bogotá, ColombiaDepartment of Electrical and Electronics Engineering, Universidad Nacional de Colombia, Bogotá, ColombiaDepartment of Electrical Engineering and Computer Science, Khalifa University, Abu Dhabi, United Arab EmiratesDepartment of Electrical and Electronics Engineering, Universidad Nacional de Colombia, Bogotá, ColombiaIn this work, we present a multi-agent learning model based on the maximum entropy (MAXEnt) and the rate distortion function to define, respectively, the environment of the agents and their understanding about it. The avoidance of redundant information under distortion conditions is used to define a distortion-based potential function that is minimized in order to find an equilibrium point in a potential game setting, in which the Lagrange multiplier β, used as input in the Blahut-Arimoto algorithm, determines the rationality in the learning process. The model performance is evaluated in a secondary voltage controller in order to achieve reactive power sharing between distributed generators (DGs) in a micro-grid. Simulation results demonstrate a good response in terms of reactive power distribution when the load is increased in a DG without considerable affectations in the voltage stability.https://ieeexplore.ieee.org/document/9117110/Maximum entropymicro-gridspotential gamesrate distortion function
spellingShingle David Alejandro Martinez
Eduardo Mojica-Nava
Ameena Saad Al-Sumaiti
Sergio Rivera
A Distortion-Based Potential Game for Secondary Voltage Control in Micro-Grids
IEEE Access
Maximum entropy
micro-grids
potential games
rate distortion function
title A Distortion-Based Potential Game for Secondary Voltage Control in Micro-Grids
title_full A Distortion-Based Potential Game for Secondary Voltage Control in Micro-Grids
title_fullStr A Distortion-Based Potential Game for Secondary Voltage Control in Micro-Grids
title_full_unstemmed A Distortion-Based Potential Game for Secondary Voltage Control in Micro-Grids
title_short A Distortion-Based Potential Game for Secondary Voltage Control in Micro-Grids
title_sort distortion based potential game for secondary voltage control in micro grids
topic Maximum entropy
micro-grids
potential games
rate distortion function
url https://ieeexplore.ieee.org/document/9117110/
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