Mixed-integer second-order cone programming method for active distribution network

Developing a novel type of power system is an important means of achieving the “dual carbon” goals of achieving peak carbon emissions and carbon neutrality in the near future. Given that the distribution network has access to a wide range of distributed and flexible resources, reasonably controlling...

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Main Authors: Dai Wan, Miao Zhao, Zimu Yi, Fei Jiang, Qi Guo, Qianfan Zhou
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-08-01
Series:Frontiers in Energy Research
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fenrg.2023.1259445/full
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author Dai Wan
Dai Wan
Miao Zhao
Zimu Yi
Fei Jiang
Qi Guo
Qianfan Zhou
author_facet Dai Wan
Dai Wan
Miao Zhao
Zimu Yi
Fei Jiang
Qi Guo
Qianfan Zhou
author_sort Dai Wan
collection DOAJ
description Developing a novel type of power system is an important means of achieving the “dual carbon” goals of achieving peak carbon emissions and carbon neutrality in the near future. Given that the distribution network has access to a wide range of distributed and flexible resources, reasonably controlling large-scale and adjustable resources is a critical factor influencing the safe and stable operation of the active distribution network (ADN). In light of this, the authors of this study propose a mixed-integer second-order cone programming method for an active distribution network by considering the collaboration between distributed, flexible resources. First, Monte Carlo sampling is used to simulate the charging load of electric vehicles (EVs), and the auto regressive moving average (ARMA) and the scenario reduction algorithms (SRA) based on probability distance are used to generate scenarios of the outputs of distributed generation (DG). Second, we establish an economical, low-carbon model to optimize the operation of the active distribution network to reduce its operating costs and carbon emissions by considering the adjustable characteristics of the distributed and flexible resources, such as on-load tap changer (OLTC), devices for reactive power compensation, and EVs and electric energy storage equipment (EES). Then, the proposed model is transformed into a mixed-integer second-order cone programming (SOCP) model with a convex feasible domain by using second-order cone relaxation (SOCR), and is solved by using the CPLEX commercial solver. Finally, we performed an arithmetic analysis on the improved IEEE 33-node power distribution system, the results show that ADN’s day-to-day operating costs were reduced by 47.9% year-on-year, and carbon emissions were reduced by 75.2% year-on-year. The method proposed in this paper has significant effects in reducing the operating cost and carbon emissions of ADNs, as well as reducing the amplitude of ADN node voltages and branch currents.
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spelling doaj.art-993d9f1f9c954af48f0aebc8cb04a8122023-08-24T10:41:44ZengFrontiers Media S.A.Frontiers in Energy Research2296-598X2023-08-011110.3389/fenrg.2023.12594451259445Mixed-integer second-order cone programming method for active distribution networkDai Wan0Dai Wan1Miao Zhao2Zimu Yi3Fei Jiang4Qi Guo5Qianfan Zhou6State Grid Hunan Electric Power Company Limited Research Institute, Changsha, ChinaState Grid Joint Laboratory for Intelligent Application and Key Equipment in Distribution Network, Changsha, ChinaState Grid Hunan Electric Power Company Limited Research Institute, Changsha, ChinaCollege of Electrical and Information Engineering, Changsha University of Science and Technology, Changsha, ChinaCollege of Electrical and Information Engineering, Changsha University of Science and Technology, Changsha, ChinaCollege of Electrical and Information Engineering, Hunan University, Changsha, ChinaState Grid Hunan Electric Power Company Limited Research Institute, Changsha, ChinaDeveloping a novel type of power system is an important means of achieving the “dual carbon” goals of achieving peak carbon emissions and carbon neutrality in the near future. Given that the distribution network has access to a wide range of distributed and flexible resources, reasonably controlling large-scale and adjustable resources is a critical factor influencing the safe and stable operation of the active distribution network (ADN). In light of this, the authors of this study propose a mixed-integer second-order cone programming method for an active distribution network by considering the collaboration between distributed, flexible resources. First, Monte Carlo sampling is used to simulate the charging load of electric vehicles (EVs), and the auto regressive moving average (ARMA) and the scenario reduction algorithms (SRA) based on probability distance are used to generate scenarios of the outputs of distributed generation (DG). Second, we establish an economical, low-carbon model to optimize the operation of the active distribution network to reduce its operating costs and carbon emissions by considering the adjustable characteristics of the distributed and flexible resources, such as on-load tap changer (OLTC), devices for reactive power compensation, and EVs and electric energy storage equipment (EES). Then, the proposed model is transformed into a mixed-integer second-order cone programming (SOCP) model with a convex feasible domain by using second-order cone relaxation (SOCR), and is solved by using the CPLEX commercial solver. Finally, we performed an arithmetic analysis on the improved IEEE 33-node power distribution system, the results show that ADN’s day-to-day operating costs were reduced by 47.9% year-on-year, and carbon emissions were reduced by 75.2% year-on-year. The method proposed in this paper has significant effects in reducing the operating cost and carbon emissions of ADNs, as well as reducing the amplitude of ADN node voltages and branch currents.https://www.frontiersin.org/articles/10.3389/fenrg.2023.1259445/fulldistributed flexible resourceactive distribution networkcollaborative optimizationlow-carbon economysecond-order cone relaxation
spellingShingle Dai Wan
Dai Wan
Miao Zhao
Zimu Yi
Fei Jiang
Qi Guo
Qianfan Zhou
Mixed-integer second-order cone programming method for active distribution network
Frontiers in Energy Research
distributed flexible resource
active distribution network
collaborative optimization
low-carbon economy
second-order cone relaxation
title Mixed-integer second-order cone programming method for active distribution network
title_full Mixed-integer second-order cone programming method for active distribution network
title_fullStr Mixed-integer second-order cone programming method for active distribution network
title_full_unstemmed Mixed-integer second-order cone programming method for active distribution network
title_short Mixed-integer second-order cone programming method for active distribution network
title_sort mixed integer second order cone programming method for active distribution network
topic distributed flexible resource
active distribution network
collaborative optimization
low-carbon economy
second-order cone relaxation
url https://www.frontiersin.org/articles/10.3389/fenrg.2023.1259445/full
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AT zimuyi mixedintegersecondorderconeprogrammingmethodforactivedistributionnetwork
AT feijiang mixedintegersecondorderconeprogrammingmethodforactivedistributionnetwork
AT qiguo mixedintegersecondorderconeprogrammingmethodforactivedistributionnetwork
AT qianfanzhou mixedintegersecondorderconeprogrammingmethodforactivedistributionnetwork