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

Author

Listed:
  • Chunyi Wang

    (State Grid Shandong Electric Power Company, Jinan 250001, China)

  • Fengzhang Luo

    (Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, China)

  • Zheng Jiao

    (Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, China)

  • Xiaolei Zhang

    (State Grid Shandong Electric Power Company, Jinan 250001, China)

  • Zhipeng Lu

    (State Grid Shandong Electric Power Company, Jinan 250001, China)

  • Yanshuo Wang

    (Economic and Technology Research Institute, State Grid Shandong Electric Power Company, Jinan 250001, China)

  • Ren Zhao

    (Economic and Technology Research Institute, State Grid Shandong Electric Power Company, Jinan 250001, China)

  • Yang Yang

    (Economic and Technology Research Institute, State Grid Shandong Electric Power Company, Jinan 250001, China)

Abstract

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.

Suggested Citation

  • Chunyi Wang & Fengzhang Luo & Zheng Jiao & Xiaolei Zhang & Zhipeng Lu & Yanshuo Wang & Ren Zhao & Yang Yang, 2022. "An Enhanced Second-Order Cone Programming-Based Evaluation Method on Maximum Hosting Capacity of Solar Energy in Distribution Systems with Integrated Energy," Energies, MDPI, vol. 15(23), pages 1-19, November.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:23:p:9025-:d:987569
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    References listed on IDEAS

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    1. Abeysekera, M. & Wu, J. & Jenkins, N. & Rees, M., 2016. "Steady state analysis of gas networks with distributed injection of alternative gas," Applied Energy, Elsevier, vol. 164(C), pages 991-1002.
    2. Liu, Xuezhi & Wu, Jianzhong & Jenkins, Nick & Bagdanavicius, Audrius, 2016. "Combined analysis of electricity and heat networks," Applied Energy, Elsevier, vol. 162(C), pages 1238-1250.
    3. Wei Wei & Haoyue Jia & Yunfei Mu & Jianzhong Wu & Hongjie Jia, 2019. "A Robust Assessment Model of the Solar Electrical-Thermal Energy Comprehensive Accommodation Capability in a District Integrated Energy System," Energies, MDPI, vol. 12(7), pages 1-26, April.
    4. Gu, Wei & Wang, Jun & Lu, Shuai & Luo, Zhao & Wu, Chenyu, 2017. "Optimal operation for integrated energy system considering thermal inertia of district heating network and buildings," Applied Energy, Elsevier, vol. 199(C), pages 234-246.
    5. Hassan Hijazi & Pierre Bonami & Gérard Cornuéjols & Adam Ouorou, 2012. "Mixed-integer nonlinear programs featuring “on/off” constraints," Computational Optimization and Applications, Springer, vol. 52(2), pages 537-558, June.
    6. Xu, Xu & Li, Jiayong & Xu, Zhao & Zhao, Jian & Lai, Chun Sing, 2019. "Enhancing photovoltaic hosting capacity—A stochastic approach to optimal planning of static var compensator devices in distribution networks," Applied Energy, Elsevier, vol. 238(C), pages 952-962.
    7. Pierre Bonami & João Gonçalves, 2012. "Heuristics for convex mixed integer nonlinear programs," Computational Optimization and Applications, Springer, vol. 51(2), pages 729-747, March.
    8. Wang, Chengshan & Song, Guanyu & Li, Peng & Ji, Haoran & Zhao, Jinli & Wu, Jianzhong, 2017. "Optimal siting and sizing of soft open points in active electrical distribution networks," Applied Energy, Elsevier, vol. 189(C), pages 301-309.
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