Coordinated allocation of distributed generation, soft open points and energy storage systems in unbalanced distribution networks considering flexibility deficiency risk

Optimizing the location and capacity of flexible resources is critical. The increase in the permeability of distributed generation (DG) causes the net load to drastically fluctuate, which sharply increases flexibility demand for the distribution network. The asymmetric access of distributed generato...

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Main Authors: Jie Wang, Xiaochao Fan, Lijun Xu, Ruijing Shi, Weiqing Wang
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Alexandria Engineering Journal
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Online Access:http://www.sciencedirect.com/science/article/pii/S1110016824014984
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author Jie Wang
Xiaochao Fan
Lijun Xu
Ruijing Shi
Weiqing Wang
author_facet Jie Wang
Xiaochao Fan
Lijun Xu
Ruijing Shi
Weiqing Wang
author_sort Jie Wang
collection DOAJ
description Optimizing the location and capacity of flexible resources is critical. The increase in the permeability of distributed generation (DG) causes the net load to drastically fluctuate, which sharply increases flexibility demand for the distribution network. The asymmetric access of distributed generators, asymmetric line parameters, and unbalanced loads aggravate the three-phase voltage unbalance of distribution systems. Energy storage systems (ESSs) and soft open points (SOPs) can flexibly adjust power flow direction, which can address the problem. This study analyzed the characteristics of flexibility resources based on the flexibility theory. Furthermore, the potential loss of flexibility demand is quantitatively assessed by conditional value-at-risk, and the coordination planning model of DG, SOP, and ESS for the unbalanced distribution network is constructed considering flexibility and economy. Because the resulting mathematical formulation belongs to a nonconvex quadratic programming problem, an adaptive linear relaxation programming method is proposed to improve computational efficiency. The adaptive linear relaxation technique is constructed based on the properties of quadratic functions and the mean value theorem, and the non-convex quadratic programming problem is converted to a series of parametric linear relaxation programming problems by the technique. Finally, the effectiveness of the proposed model is verified on IEEE 33-bus and IEEE 123-bus systems.
format Article
id doaj-art-871fc66226cd494c9f16141e99586397
institution Kabale University
issn 1110-0168
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publishDate 2025-01-01
publisher Elsevier
record_format Article
series Alexandria Engineering Journal
spelling doaj-art-871fc66226cd494c9f16141e995863972025-01-29T05:00:19ZengElsevierAlexandria Engineering Journal1110-01682025-01-01112569584Coordinated allocation of distributed generation, soft open points and energy storage systems in unbalanced distribution networks considering flexibility deficiency riskJie Wang0Xiaochao Fan1Lijun Xu2Ruijing Shi3Weiqing Wang4Department of Energy Engineering, Xinjiang Institute of Engineering, Urumqi, Xinjiang 830023, China; Corresponding author.Department of Energy Engineering, Xinjiang Institute of Engineering, Urumqi, Xinjiang 830023, ChinaDepartment of Energy Engineering, Xinjiang Institute of Engineering, Urumqi, Xinjiang 830023, ChinaDepartment of Energy Engineering, Xinjiang Institute of Engineering, Urumqi, Xinjiang 830023, ChinaEngineering Research Center of Education Ministry for Renewable Energy Power Generation and Grid-connected Control, Xinjiang University, Urumqi, Xinjiang 830047, ChinaOptimizing the location and capacity of flexible resources is critical. The increase in the permeability of distributed generation (DG) causes the net load to drastically fluctuate, which sharply increases flexibility demand for the distribution network. The asymmetric access of distributed generators, asymmetric line parameters, and unbalanced loads aggravate the three-phase voltage unbalance of distribution systems. Energy storage systems (ESSs) and soft open points (SOPs) can flexibly adjust power flow direction, which can address the problem. This study analyzed the characteristics of flexibility resources based on the flexibility theory. Furthermore, the potential loss of flexibility demand is quantitatively assessed by conditional value-at-risk, and the coordination planning model of DG, SOP, and ESS for the unbalanced distribution network is constructed considering flexibility and economy. Because the resulting mathematical formulation belongs to a nonconvex quadratic programming problem, an adaptive linear relaxation programming method is proposed to improve computational efficiency. The adaptive linear relaxation technique is constructed based on the properties of quadratic functions and the mean value theorem, and the non-convex quadratic programming problem is converted to a series of parametric linear relaxation programming problems by the technique. Finally, the effectiveness of the proposed model is verified on IEEE 33-bus and IEEE 123-bus systems.http://www.sciencedirect.com/science/article/pii/S1110016824014984Unbalanced distribution networksCoordinated planningDistributed generationSoft open points (SOPs)Energy storage systems (ESSs)Flexibility deficiency risk
spellingShingle Jie Wang
Xiaochao Fan
Lijun Xu
Ruijing Shi
Weiqing Wang
Coordinated allocation of distributed generation, soft open points and energy storage systems in unbalanced distribution networks considering flexibility deficiency risk
Alexandria Engineering Journal
Unbalanced distribution networks
Coordinated planning
Distributed generation
Soft open points (SOPs)
Energy storage systems (ESSs)
Flexibility deficiency risk
title Coordinated allocation of distributed generation, soft open points and energy storage systems in unbalanced distribution networks considering flexibility deficiency risk
title_full Coordinated allocation of distributed generation, soft open points and energy storage systems in unbalanced distribution networks considering flexibility deficiency risk
title_fullStr Coordinated allocation of distributed generation, soft open points and energy storage systems in unbalanced distribution networks considering flexibility deficiency risk
title_full_unstemmed Coordinated allocation of distributed generation, soft open points and energy storage systems in unbalanced distribution networks considering flexibility deficiency risk
title_short Coordinated allocation of distributed generation, soft open points and energy storage systems in unbalanced distribution networks considering flexibility deficiency risk
title_sort coordinated allocation of distributed generation soft open points and energy storage systems in unbalanced distribution networks considering flexibility deficiency risk
topic Unbalanced distribution networks
Coordinated planning
Distributed generation
Soft open points (SOPs)
Energy storage systems (ESSs)
Flexibility deficiency risk
url http://www.sciencedirect.com/science/article/pii/S1110016824014984
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