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Iterative convex relaxation of unbalanced power distribution system integrated multi-energy systems

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  • Sharma, Abhimanyu
  • Padhy, Narayana Prasad

Abstract

This study describes a multi-period, multi-energy operation of a three-phase unbalanced Electric Distribution System (EDS) that coordinates with a District Heating System (DHS) and a Natural Gas (NG) distribution system. The electrical subsystem problem is formulated as a bi-level programming problem, with levels 1 and 2 solving the subsystem’s linearized and relaxed nonlinear versions, respectively. Second-Order Cone Programming (SOCP) and polyhedral relaxations are availed to circumvent the non-convexities involved in the subsystems. The SOCP relaxation for an unbalanced power distribution network is inexact; also, the subsystems applying polyhedral relaxation may not generate a meaningful solution as the relaxations are not tight. Therefore, a solution recovery algorithm is developed for each subsystem to recover a feasible solution from their relaxed counterparts. The successive bound tightening algorithm employing a solution recovery procedure is proposed for each subsystem, improving solution quality and strengthening the relaxations with the desired computational efficiency. The proposed solution strategy to optimize the Multi-Energy System (MES) operation cost is verified on the three-phase IEEE-13 and IEEE-123 bus systems, each coordinating with a 30-node DHS and a 6-bus NG network. The results analyses demonstrate that the proposed solution strategy efficiently achieves an optimal solution, reducing maximum relaxation error below 0.1% for each subsystem. The proposed strategy delivered a 14.58% reduction in real power losses and a 12.73% decrease in phase voltage unbalance rate for the EDS in MES. Furthermore, a 1.96% decrease in operational cost demonstrates the techno-economic benefits of the proposed strategy.

Suggested Citation

  • Sharma, Abhimanyu & Padhy, Narayana Prasad, 2024. "Iterative convex relaxation of unbalanced power distribution system integrated multi-energy systems," Energy, Elsevier, vol. 294(C).
    • Handle: RePEc:eee:energy:v:294:y:2024:i:c:s0360544224007461
    DOI: 10.1016/j.energy.2024.130974
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    References listed on IDEAS

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    1. Hu, Qinran & Liang, Yiheng & Ding, Haohui & Quan, Xiangjun & Wang, Qi & Bai, Linquan, 2022. "Topological partition based multi-energy flow calculation method for complex integrated energy systems," Energy, Elsevier, vol. 244(PB).
    2. Liu, Qian & Li, Wanjun & Zhao, Zhen & Jian, Gan, 2024. "Optimal operation of coordinated multi-carrier energy hubs for integrated electricity and gas networks," Energy, Elsevier, vol. 288(C).
    3. Wang, Jiangjiang & Deng, Hongda & Qi, Xiaoling, 2022. "Cost-based site and capacity optimization of multi-energy storage system in the regional integrated energy networks," Energy, Elsevier, vol. 261(PA).
    4. Huang, Shaojun & Tang, Weichu & Wu, Qiuwei & Li, Canbing, 2019. "Network constrained economic dispatch of integrated heat and electricity systems through mixed integer conic programming," Energy, Elsevier, vol. 179(C), pages 464-474.
    5. Li, Peng & Wang, Zixuan & Liu, Haitao & Wang, Jiahao & Guo, Tianyu & Yin, Yunxing, 2021. "Bi-level optimal configuration strategy of community integrated energy system with coordinated planning and operation," Energy, Elsevier, vol. 236(C).
    6. Maneesha, Ampolu & Swarup, K. Shanti, 2021. "A survey on applications of Alternating Direction Method of Multipliers in smart power grids," Renewable and Sustainable Energy Reviews, Elsevier, vol. 152(C).
    7. Wang, Jianhui & Mao, Jiangwei & Hao, Ruhai & Li, Shoudong & Bao, Guangqing, 2022. "Multi-energy coupling analysis and optimal scheduling of regional integrated energy system," Energy, Elsevier, vol. 254(PC).
    8. Nazari-Heris, M. & Mohammadi-Ivatloo, B. & Gharehpetian, G.B., 2018. "A comprehensive review of heuristic optimization algorithms for optimal combined heat and power dispatch from economic and environmental perspectives," Renewable and Sustainable Energy Reviews, Elsevier, vol. 81(P2), pages 2128-2143.
    9. Liu, Tianhao & Tian, Jun & Zhu, Hongyu & Goh, Hui Hwang & Liu, Hui & Wu, Thomas & Zhang, Dongdong, 2023. "Key technologies and developments of multi-energy system: Three-layer framework, modelling and optimisation," Energy, Elsevier, vol. 277(C).
    10. Wang, Zixuan & Li, Peng & Zhou, Yue & Wu, Jianzhong & Zhang, Chunyan & Zeng, Pingliang & Wang, Jiahao & Pan, Youpeng & Yin, Yunxing, 2023. "Coordinated configuration strategy of multi-energy systems based on capacity-energy-information sharing," Energy, Elsevier, vol. 277(C).
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    1. Wu, Huayi & Xu, Zhao, 2024. "Multi-energy flow calculation in integrated energy system via topological graph attention convolutional network with transfer learning," Energy, Elsevier, vol. 303(C).

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