Uncertainty Feasible Region Analysis for Microgrids in the Coordination with Distribution System Considering Interactive Power Deviation

The coordination of microgrid (MG) and distribution is an emerging trend for future development. This paper proposes an uncertainty feasible region (UFR) analysis method based on outer approximation cutting (OAC) under the coordination of MG and distribution. Firstly, an optimal economic dispatch sc...

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Main Authors: Hao Dong, Peng Lu, Xiang Jiang, Xu Chen, Puyan Wang, Junpeng Zhu
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Algorithms
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Online Access:https://www.mdpi.com/1999-4893/18/3/142
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author Hao Dong
Peng Lu
Xiang Jiang
Xu Chen
Puyan Wang
Junpeng Zhu
author_facet Hao Dong
Peng Lu
Xiang Jiang
Xu Chen
Puyan Wang
Junpeng Zhu
author_sort Hao Dong
collection DOAJ
description The coordination of microgrid (MG) and distribution is an emerging trend for future development. This paper proposes an uncertainty feasible region (UFR) analysis method based on outer approximation cutting (OAC) under the coordination of MG and distribution. Firstly, an optimal economic dispatch scheduling is obtained. It serves as the basis for the intraday analysis of UFR. Drawing on the concepts of robust optimization, a method for determining the intra-day UFR is proposed. Subsequently, the problem is transformed using duality theory by identifying umbrella constraints, ultimately linearizing the problem to enable its solution by commercial software. In the intra-day analysis of the feasible region, the interactive power deviation between the MG and the upper-level grid (ULG) is allowed, which is represented by an interactive power deviation factor (IPDF). Different factors represent varying sizes of controllable resources, and a larger factor positively affects the size of the feasible region, and the volume is used to represent the size of the feasible region. The UFR defined in this paper provides a theoretical basis for renewable energy consumption capacity corresponding to the day-ahead dispatch scheduling. The effectiveness of the proposed method is validated by simulation results in a typical MG scenario.
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spelling doaj-art-e451d26e0b2d406789bac5c004674e982025-08-20T03:40:43ZengMDPI AGAlgorithms1999-48932025-03-0118314210.3390/a18030142Uncertainty Feasible Region Analysis for Microgrids in the Coordination with Distribution System Considering Interactive Power DeviationHao Dong0Peng Lu1Xiang Jiang2Xu Chen3Puyan Wang4Junpeng Zhu5Rugao Power Supply Company, State Grid Jiangsu Electric Power Co., Ltd., Nantong 226503, ChinaSchool of Electrical and Power Engineering, Hohai University, Nanjing 210098, ChinaRugao Power Supply Company, State Grid Jiangsu Electric Power Co., Ltd., Nantong 226503, ChinaRugao Power Supply Company, State Grid Jiangsu Electric Power Co., Ltd., Nantong 226503, ChinaRugao Power Supply Company, State Grid Jiangsu Electric Power Co., Ltd., Nantong 226503, ChinaSchool of Electrical and Power Engineering, Hohai University, Nanjing 210098, ChinaThe coordination of microgrid (MG) and distribution is an emerging trend for future development. This paper proposes an uncertainty feasible region (UFR) analysis method based on outer approximation cutting (OAC) under the coordination of MG and distribution. Firstly, an optimal economic dispatch scheduling is obtained. It serves as the basis for the intraday analysis of UFR. Drawing on the concepts of robust optimization, a method for determining the intra-day UFR is proposed. Subsequently, the problem is transformed using duality theory by identifying umbrella constraints, ultimately linearizing the problem to enable its solution by commercial software. In the intra-day analysis of the feasible region, the interactive power deviation between the MG and the upper-level grid (ULG) is allowed, which is represented by an interactive power deviation factor (IPDF). Different factors represent varying sizes of controllable resources, and a larger factor positively affects the size of the feasible region, and the volume is used to represent the size of the feasible region. The UFR defined in this paper provides a theoretical basis for renewable energy consumption capacity corresponding to the day-ahead dispatch scheduling. The effectiveness of the proposed method is validated by simulation results in a typical MG scenario.https://www.mdpi.com/1999-4893/18/3/142uncertainty feasible regioninteractive power deviationouter approximation cuttingumbrella constraints
spellingShingle Hao Dong
Peng Lu
Xiang Jiang
Xu Chen
Puyan Wang
Junpeng Zhu
Uncertainty Feasible Region Analysis for Microgrids in the Coordination with Distribution System Considering Interactive Power Deviation
Algorithms
uncertainty feasible region
interactive power deviation
outer approximation cutting
umbrella constraints
title Uncertainty Feasible Region Analysis for Microgrids in the Coordination with Distribution System Considering Interactive Power Deviation
title_full Uncertainty Feasible Region Analysis for Microgrids in the Coordination with Distribution System Considering Interactive Power Deviation
title_fullStr Uncertainty Feasible Region Analysis for Microgrids in the Coordination with Distribution System Considering Interactive Power Deviation
title_full_unstemmed Uncertainty Feasible Region Analysis for Microgrids in the Coordination with Distribution System Considering Interactive Power Deviation
title_short Uncertainty Feasible Region Analysis for Microgrids in the Coordination with Distribution System Considering Interactive Power Deviation
title_sort uncertainty feasible region analysis for microgrids in the coordination with distribution system considering interactive power deviation
topic uncertainty feasible region
interactive power deviation
outer approximation cutting
umbrella constraints
url https://www.mdpi.com/1999-4893/18/3/142
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AT penglu uncertaintyfeasibleregionanalysisformicrogridsinthecoordinationwithdistributionsystemconsideringinteractivepowerdeviation
AT xiangjiang uncertaintyfeasibleregionanalysisformicrogridsinthecoordinationwithdistributionsystemconsideringinteractivepowerdeviation
AT xuchen uncertaintyfeasibleregionanalysisformicrogridsinthecoordinationwithdistributionsystemconsideringinteractivepowerdeviation
AT puyanwang uncertaintyfeasibleregionanalysisformicrogridsinthecoordinationwithdistributionsystemconsideringinteractivepowerdeviation
AT junpengzhu uncertaintyfeasibleregionanalysisformicrogridsinthecoordinationwithdistributionsystemconsideringinteractivepowerdeviation