An Enhanced Second-Order Cone Programming-Based Evaluation Method on Maximum Hosting Capacity of Solar Energy in Distribution Systems with Integrated Energy

In order to adjust to the change of the large-scale deployment of photovoltaic (PV) power generation and fully exploit the potentialities of an integrated energy distribution system (IEDS) in solar energy accommodation, an evaluation method on maximum hosting capacity of solar energy in IEDS based o...

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Main Authors: Chunyi Wang, Fengzhang Luo, Zheng Jiao, Xiaolei Zhang, Zhipeng Lu, Yanshuo Wang, Ren Zhao, Yang Yang
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/15/23/9025
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author Chunyi Wang
Fengzhang Luo
Zheng Jiao
Xiaolei Zhang
Zhipeng Lu
Yanshuo Wang
Ren Zhao
Yang Yang
author_facet Chunyi Wang
Fengzhang Luo
Zheng Jiao
Xiaolei Zhang
Zhipeng Lu
Yanshuo Wang
Ren Zhao
Yang Yang
author_sort Chunyi Wang
collection DOAJ
description In order to adjust to the change of the large-scale deployment of photovoltaic (PV) power generation and fully exploit the potentialities of an integrated energy distribution system (IEDS) in solar energy accommodation, an evaluation method on maximum hosting capacity of solar energy in IEDS based on convex relaxation optimization algorithm is proposed in this paper. Firstly, an evaluation model of maximum hosting capacity of solar energy for IEDS considering the electrical-thermal comprehensive utilization of solar energy is proposed, in which the maximization of PV capacity and solar collector (SC) capacity are fully considered. Secondly, IEDS’s potential in electricity, heat, and gas energy coordinated optimization is fully exploited to enhance the hosting capacity of solar energy in which the electric distribution network, heating network, and natural gas network constraints are fully modeled. Then, an enhanced second-order cone programming (SOCP)-based method is employed to solve the proposed maximum hosting capacity model. Through SOCP relaxation and linearization, the original nonconvex nonlinear programming model is converted into the mixed-integer second-order cone programming model. Meanwhile, to ensure the exactness of SOCP relaxation and improve the computation efficiency, increasingly tight linear cuts of distribution system and natural gas system are added to the SOCP relaxation. Finally, an example is given to verify the effectiveness of the proposed method. The analysis results show that the maximum hosting capacity of solar energy can be improved significantly by realizing the coordination of an integrated multi-energy system and the optimal utilization of electricity, heat, and gas energy. By applying SOCP relaxation, linearization, and adding increasingly tight linear cuts of distribution system and natural gas system to the SOCP relaxation, the proposed model can be solved accurately and efficiently.
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spelling doaj.art-ac82bb155af042d58ffcaf14715721d62023-11-24T10:54:07ZengMDPI AGEnergies1996-10732022-11-011523902510.3390/en15239025An Enhanced Second-Order Cone Programming-Based Evaluation Method on Maximum Hosting Capacity of Solar Energy in Distribution Systems with Integrated EnergyChunyi Wang0Fengzhang Luo1Zheng Jiao2Xiaolei Zhang3Zhipeng Lu4Yanshuo Wang5Ren Zhao6Yang Yang7State Grid Shandong Electric Power Company, Jinan 250001, ChinaKey Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, ChinaKey Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, ChinaState Grid Shandong Electric Power Company, Jinan 250001, ChinaState Grid Shandong Electric Power Company, Jinan 250001, ChinaEconomic and Technology Research Institute, State Grid Shandong Electric Power Company, Jinan 250001, ChinaEconomic and Technology Research Institute, State Grid Shandong Electric Power Company, Jinan 250001, ChinaEconomic and Technology Research Institute, State Grid Shandong Electric Power Company, Jinan 250001, ChinaIn order to adjust to the change of the large-scale deployment of photovoltaic (PV) power generation and fully exploit the potentialities of an integrated energy distribution system (IEDS) in solar energy accommodation, an evaluation method on maximum hosting capacity of solar energy in IEDS based on convex relaxation optimization algorithm is proposed in this paper. Firstly, an evaluation model of maximum hosting capacity of solar energy for IEDS considering the electrical-thermal comprehensive utilization of solar energy is proposed, in which the maximization of PV capacity and solar collector (SC) capacity are fully considered. Secondly, IEDS’s potential in electricity, heat, and gas energy coordinated optimization is fully exploited to enhance the hosting capacity of solar energy in which the electric distribution network, heating network, and natural gas network constraints are fully modeled. Then, an enhanced second-order cone programming (SOCP)-based method is employed to solve the proposed maximum hosting capacity model. Through SOCP relaxation and linearization, the original nonconvex nonlinear programming model is converted into the mixed-integer second-order cone programming model. Meanwhile, to ensure the exactness of SOCP relaxation and improve the computation efficiency, increasingly tight linear cuts of distribution system and natural gas system are added to the SOCP relaxation. Finally, an example is given to verify the effectiveness of the proposed method. The analysis results show that the maximum hosting capacity of solar energy can be improved significantly by realizing the coordination of an integrated multi-energy system and the optimal utilization of electricity, heat, and gas energy. By applying SOCP relaxation, linearization, and adding increasingly tight linear cuts of distribution system and natural gas system to the SOCP relaxation, the proposed model can be solved accurately and efficiently.https://www.mdpi.com/1996-1073/15/23/9025solar energymaximum hosting capacityintegrated energy distribution systemenhanced second-order cone programming
spellingShingle Chunyi Wang
Fengzhang Luo
Zheng Jiao
Xiaolei Zhang
Zhipeng Lu
Yanshuo Wang
Ren Zhao
Yang Yang
An Enhanced Second-Order Cone Programming-Based Evaluation Method on Maximum Hosting Capacity of Solar Energy in Distribution Systems with Integrated Energy
Energies
solar energy
maximum hosting capacity
integrated energy distribution system
enhanced second-order cone programming
title An Enhanced Second-Order Cone Programming-Based Evaluation Method on Maximum Hosting Capacity of Solar Energy in Distribution Systems with Integrated Energy
title_full An Enhanced Second-Order Cone Programming-Based Evaluation Method on Maximum Hosting Capacity of Solar Energy in Distribution Systems with Integrated Energy
title_fullStr An Enhanced Second-Order Cone Programming-Based Evaluation Method on Maximum Hosting Capacity of Solar Energy in Distribution Systems with Integrated Energy
title_full_unstemmed An Enhanced Second-Order Cone Programming-Based Evaluation Method on Maximum Hosting Capacity of Solar Energy in Distribution Systems with Integrated Energy
title_short An Enhanced Second-Order Cone Programming-Based Evaluation Method on Maximum Hosting Capacity of Solar Energy in Distribution Systems with Integrated Energy
title_sort enhanced second order cone programming based evaluation method on maximum hosting capacity of solar energy in distribution systems with integrated energy
topic solar energy
maximum hosting capacity
integrated energy distribution system
enhanced second-order cone programming
url https://www.mdpi.com/1996-1073/15/23/9025
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