IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v294y2024ics0360544224007461.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544224007461
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.energy.2024.130974?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tan, Hong & Yan, Wei & Ren, Zhouyang & Wang, Qiujie & Mohamed, Mohamed A., 2022. "A robust dispatch model for integrated electricity and heat networks considering price-based integrated demand response," Energy, Elsevier, vol. 239(PA).
    2. Zhang, Menglin & Wu, Qiuwei & Wen, Jinyu & Lin, Zhongwei & Fang, Fang & Chen, Qun, 2021. "Optimal operation of integrated electricity and heat system: A review of modeling and solution methods," Renewable and Sustainable Energy Reviews, Elsevier, vol. 135(C).
    3. Zhang, Menglin & Wu, Qiuwei & Wen, Jinyu & Pan, Bo & Qi, Shiqiang, 2020. "Two-stage stochastic optimal operation of integrated electricity and heat system considering reserve of flexible devices and spatial-temporal correlation of wind power," Applied Energy, Elsevier, vol. 275(C).
    4. Wu, Xiao & Yang, Lihua & Zheng, Bingle, 2024. "Joint capacity configuration and demand response optimization of integrated energy system considering economic and dynamic control performance," Energy, Elsevier, vol. 301(C).
    5. Zhiming Lu & Youting Li & Guying Zhuo & Chuanbo Xu, 2023. "Configuration Optimization of Hydrogen-Based Multi-Microgrid Systems under Electricity Market Trading and Different Hydrogen Production Strategies," Sustainability, MDPI, vol. 15(8), pages 1-23, April.
    6. Hao, Ling & Wei, Mingshan & Xu, Fei & Yang, Xiaochen & Meng, Jia & Song, Panpan & Min, Yong, 2020. "Study of operation strategies for integrating ice-storage district cooling systems into power dispatch for large-scale hydropower utilization," Applied Energy, Elsevier, vol. 261(C).
    7. Dranka, Géremi Gilson & Ferreira, Paula & Vaz, A. Ismael F., 2021. "A review of co-optimization approaches for operational and planning problems in the energy sector," Applied Energy, Elsevier, vol. 304(C).
    8. Wu, Yanjuan & Wang, Caiwei & Wang, Yunliang, 2024. "Cooperative game optimization scheduling of multi-region integrated energy system based on ADMM algorithm," Energy, Elsevier, vol. 302(C).
    9. Zheng, Lingwei & Wu, Hao & Guo, Siqi & Sun, Xinyu, 2023. "Real-time dispatch of an integrated energy system based on multi-stage reinforcement learning with an improved action-choosing strategy," Energy, Elsevier, vol. 277(C).
    10. Jiang, Meihui & Xu, Zhenjiang & Zhu, Hongyu & Hwang Goh, Hui & Agustiono Kurniawan, Tonni & Liu, Tianhao & Zhang, Dongdong, 2024. "Integrated demand response modeling and optimization technologies supporting energy internet," Renewable and Sustainable Energy Reviews, Elsevier, vol. 203(C).
    11. Pan, Zhenning & Yu, Tao & Li, Jie & Qu, Kaiping & Yang, Bo, 2020. "Risk-averse real-time dispatch of integrated electricity and heat system using a modified approximate dynamic programming approach," Energy, Elsevier, vol. 198(C).
    12. Lin, Wei & Wang, Chongyu & Zhang, Wenjie & Liang, Zipeng & Chung, C.Y., 2024. "Integration flexibility of renewable distributed energy resources in active distribution networks: A two-module data-driven characterization method," Energy, Elsevier, vol. 304(C).
    13. Liu, Jing & Zhao, Tong, 2024. "Optimal operation of electricity-gas-heating-cooling integrated energy systems with SCPR-based carbon trading using a novel SMABC algorithm," Renewable Energy, Elsevier, vol. 232(C).
    14. Dezhou Kong & Jianru Jing & Tingyue Gu & Xuanyue Wei & Xingning Sa & Yimin Yang & Zhiang Zhang, 2023. "Theoretical Analysis of Integrated Community Energy Systems (ICES) Considering Integrated Demand Response (IDR): A Review of the System Modelling and Optimization," Energies, MDPI, vol. 16(10), pages 1-22, May.
    15. Yitao Zhao & Xin Lv & Xin Shen & Gang Wang & Zhao Li & Pinqin Yu & Zhao Luo, 2023. "Determination of Weights for the Integrated Energy System Assessment Index with Electrical Energy Substitution in the Dual Carbon Context," Energies, MDPI, vol. 16(4), pages 1-15, February.
    16. Pan, Chongchao & Jin, Tai & Li, Na & Wang, Guanxiong & Hou, Xiaowang & Gu, Yueqing, 2023. "Multi-objective and two-stage optimization study of integrated energy systems considering P2G and integrated demand responses," Energy, Elsevier, vol. 270(C).
    17. Han, Fengwu & Zhao, Yunlong & Zeng, Jianfeng & Zhang, Shengnan & Wu, Tianyu, 2024. "Uncertain parameters adjustable two-stage robust optimization of a rural housing integrated energy system considering biomass on-site utilization," Energy, Elsevier, vol. 296(C).
    18. Kuntuarova, Saltanat & Licklederer, Thomas & Huynh, Thanh & Zinsmeister, Daniel & Hamacher, Thomas & Perić, Vedran, 2024. "Design and simulation of district heating networks: A review of modeling approaches and tools," Energy, Elsevier, vol. 305(C).
    19. Licklederer, Thomas & Hamacher, Thomas & Kramer, Michael & Perić, Vedran S., 2021. "Thermohydraulic model of Smart Thermal Grids with bidirectional power flow between prosumers," Energy, Elsevier, vol. 230(C).
    20. Han, Fengwu & Zeng, Jianfeng & Lin, Junjie & Gao, Chong, 2023. "Multi-stage distributionally robust optimization for hybrid energy storage in regional integrated energy system considering robustness and nonanticipativity," Energy, Elsevier, vol. 277(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:294:y:2024:i:c:s0360544224007461. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.