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Active Distribution Network Expansion Planning Based on Wasserstein Distance and Dual Relaxation

Author

Listed:
  • Jianchu Liu

    (Zhongshan Power Supply Bureau, Guangdong Power Grid Co., Ltd., Zhongshan 528405, China)

  • Xinghang Weng

    (Power Grid Planning Center of Guangdong Power Grid Co., Ltd., Guangzhou 510308, China)

  • Mingyang Bao

    (The School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China)

  • Shaohan Lu

    (The School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China)

  • Changhao He

    (Zhongshan Power Supply Bureau, Guangdong Power Grid Co., Ltd., Zhongshan 528405, China)

Abstract

In the future, a high proportion of distributed generations (DG) will be integrated into the distribution network. The existing active distribution network (ADN) planning methods have not fully considered multiple uncertainties, differentiated regulation modes or the cost of multiple types of interconnection switches. Meanwhile, it is difficult to solve large-scale problems at small granularity. Therefore, an expansion planning method of ADN considering the selection of multiple types of interconnection switches is proposed. Firstly, a probability distribution ambiguity set of DG output and electrical-load consumption based on the Wasserstein distance is established for dealing with the issue of source-load uncertainty. Secondly, a distributionally robust optimization model for collaborative planning of distribution network lines and multiple types of switches based on the previously mentioned ambiguity set is established. Then, the original model is transformed into a mixed integer second-order cone programming (SOCP) model by using the convex relaxation method, the Lagrangian duality method and the McCormick relaxation method. Finally, the effectiveness of the proposed method is systematically verified using the example of Portugal 54. The results indicate that the proposed method raises the annual net profit by nearly 5% compared with the traditional planning scheme and improves the reliability and low-carbon nature of the planning scheme.

Suggested Citation

  • Jianchu Liu & Xinghang Weng & Mingyang Bao & Shaohan Lu & Changhao He, 2024. "Active Distribution Network Expansion Planning Based on Wasserstein Distance and Dual Relaxation," Energies, MDPI, vol. 17(12), pages 1-22, June.
    • Handle: RePEc:gam:jeners:v:17:y:2024:i:12:p:3005-:d:1417307
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    References listed on IDEAS

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    1. Ehsan, Ali & Yang, Qiang, 2019. "State-of-the-art techniques for modelling of uncertainties in active distribution network planning: A review," Applied Energy, Elsevier, vol. 239(C), pages 1509-1523.
    2. Li, Junkai & Ge, Shaoyun & Liu, Hong & Zhang, Shida & Wang, Chengshan & Wang, Pengxiang, 2023. "Distribution locational pricing mechanisms for flexible interconnected distribution system with variable renewable energy generation," Applied Energy, Elsevier, vol. 335(C).
    3. Huang, Hongxu & Li, Zhengmao & Beng Gooi, Hoay & Qiu, Haifeng & Zhang, Xiaotong & Lv, Chaoxian & Liang, Rui & Gong, Dunwei, 2023. "Distributionally robust energy-transportation coordination in coal mine integrated energy systems," Applied Energy, Elsevier, vol. 333(C).
    4. Dong, Yingchao & Zhang, Hongli & Ma, Ping & Wang, Cong & Zhou, Xiaojun, 2023. "A hybrid robust-interval optimization approach for integrated energy systems planning under uncertainties," Energy, Elsevier, vol. 274(C).
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    Cited by:

    1. G., Varathan & J., Belwin Edward, 2024. "A review of uncertainty management approaches for active distribution system planning," Renewable and Sustainable Energy Reviews, Elsevier, vol. 205(C).

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