Multi‐objective optimal configuration of stand‐alone microgrids based on Benders decomposition considering power supply reliability

Abstract Power supply reliability (PSR) is a critical factor in the optimal configuration of stand‐alone microgrids. Considering the impact of the failure outage of power generation and energy storage equipment, as well as the uncertainty of renewable energy on PSR, a multi‐objective bi‐level mixed‐...

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Main Authors: Wei Wei, Herong Wang, Kai Hou, Ledong Ji
Format: Article
Language:English
Published: Wiley 2022-06-01
Series:IET Energy Systems Integration
Subjects:
Online Access:https://doi.org/10.1049/esi2.12060
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author Wei Wei
Herong Wang
Kai Hou
Ledong Ji
author_facet Wei Wei
Herong Wang
Kai Hou
Ledong Ji
author_sort Wei Wei
collection DOAJ
description Abstract Power supply reliability (PSR) is a critical factor in the optimal configuration of stand‐alone microgrids. Considering the impact of the failure outage of power generation and energy storage equipment, as well as the uncertainty of renewable energy on PSR, a multi‐objective bi‐level mixed‐integer optimisation model is proposed. Based on Benders decomposition, the model is decoupled into a master problem (MP) of the equipment optimal configuration considering economy and environmental conservation and a sub‐problem (SP) of the PSR check. Considering the load importance hierarchy, two types of slack variables are introduced into the SP to ensure both the reliable power supply of important loads and the PSR of the system. Through interactive iteration of the MP and SP, the complexity of the optimisation model is considerably reduced, improving the solution efficiency while ensuring the rationality of the optimal configuration scheme. Finally, the effectiveness of the proposed model is verified by a typical stand‐alone wind–photovoltaic–diesel–battery microgrid system and analysed in terms of the impact of reliability requirement and energy storage on the configuration scheme and algorithm convergence.
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spelling doaj.art-1a7bb2bacbc04c23bb63731a6721db5f2022-12-22T02:11:42ZengWileyIET Energy Systems Integration2516-84012022-06-014228129510.1049/esi2.12060Multi‐objective optimal configuration of stand‐alone microgrids based on Benders decomposition considering power supply reliabilityWei Wei0Herong Wang1Kai Hou2Ledong Ji3Key Laboratory of Smart Grid of Ministry of Education Tianjin University Tianjin ChinaKey Laboratory of Smart Grid of Ministry of Education Tianjin University Tianjin ChinaKey Laboratory of Smart Grid of Ministry of Education Tianjin University Tianjin ChinaKey Laboratory of Smart Grid of Ministry of Education Tianjin University Tianjin ChinaAbstract Power supply reliability (PSR) is a critical factor in the optimal configuration of stand‐alone microgrids. Considering the impact of the failure outage of power generation and energy storage equipment, as well as the uncertainty of renewable energy on PSR, a multi‐objective bi‐level mixed‐integer optimisation model is proposed. Based on Benders decomposition, the model is decoupled into a master problem (MP) of the equipment optimal configuration considering economy and environmental conservation and a sub‐problem (SP) of the PSR check. Considering the load importance hierarchy, two types of slack variables are introduced into the SP to ensure both the reliable power supply of important loads and the PSR of the system. Through interactive iteration of the MP and SP, the complexity of the optimisation model is considerably reduced, improving the solution efficiency while ensuring the rationality of the optimal configuration scheme. Finally, the effectiveness of the proposed model is verified by a typical stand‐alone wind–photovoltaic–diesel–battery microgrid system and analysed in terms of the impact of reliability requirement and energy storage on the configuration scheme and algorithm convergence.https://doi.org/10.1049/esi2.12060Benders decompositionoptimal configurationpower supply reliabilitystand‐alone microgrid
spellingShingle Wei Wei
Herong Wang
Kai Hou
Ledong Ji
Multi‐objective optimal configuration of stand‐alone microgrids based on Benders decomposition considering power supply reliability
IET Energy Systems Integration
Benders decomposition
optimal configuration
power supply reliability
stand‐alone microgrid
title Multi‐objective optimal configuration of stand‐alone microgrids based on Benders decomposition considering power supply reliability
title_full Multi‐objective optimal configuration of stand‐alone microgrids based on Benders decomposition considering power supply reliability
title_fullStr Multi‐objective optimal configuration of stand‐alone microgrids based on Benders decomposition considering power supply reliability
title_full_unstemmed Multi‐objective optimal configuration of stand‐alone microgrids based on Benders decomposition considering power supply reliability
title_short Multi‐objective optimal configuration of stand‐alone microgrids based on Benders decomposition considering power supply reliability
title_sort multi objective optimal configuration of stand alone microgrids based on benders decomposition considering power supply reliability
topic Benders decomposition
optimal configuration
power supply reliability
stand‐alone microgrid
url https://doi.org/10.1049/esi2.12060
work_keys_str_mv AT weiwei multiobjectiveoptimalconfigurationofstandalonemicrogridsbasedonbendersdecompositionconsideringpowersupplyreliability
AT herongwang multiobjectiveoptimalconfigurationofstandalonemicrogridsbasedonbendersdecompositionconsideringpowersupplyreliability
AT kaihou multiobjectiveoptimalconfigurationofstandalonemicrogridsbasedonbendersdecompositionconsideringpowersupplyreliability
AT ledongji multiobjectiveoptimalconfigurationofstandalonemicrogridsbasedonbendersdecompositionconsideringpowersupplyreliability