IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v344y2023ics0306261923005275.html
   My bibliography  Save this article

A novel analytical unified energy flow calculation method for integrated energy systems based on holomorphic embedding

Author

Listed:
  • Ma, Houzhen
  • Liu, Chunyang
  • Zhao, Haoran
  • Zhang, Hengxu
  • Wang, Mengxue
  • Wang, Xiaobing

Abstract

The multiple energy flow (MEF) calculation plays a key role in the operational analysis of the integrated energy system (IES). This paper proposes a novel analytical unified approach based on the fast and flexible holomorphic embedding (FFHE) method for solving the MEF problem. In the proposed approach, the power flow model of heating and natural gas networks in matrix form is established first. On this basis, the power flow equations of electrical, heating, and natural gas networks are holomorphically embedded in FFHE form, and the recursive equations of each network are determined according to the methodology of the holomorphic embedding (HE) method. By performing the modifications concerning coupling equipment, the recursive relationships of subnetworks are modified and integrated, thereby a unified HE recursive solution form is obtained to solve the energy flow of all networks uniformly. In addition, the Newton–Raphson (NR) method is used to assist in selecting the initial guess for better performance of the proposed approach. Simulation results of the test case verify the accuracy of the proposed FFHE models. Moreover, several case studies are implemented in the testing IES to demonstrate the superiority of the proposed approach in convergence and computational efficiency.

Suggested Citation

  • Ma, Houzhen & Liu, Chunyang & Zhao, Haoran & Zhang, Hengxu & Wang, Mengxue & Wang, Xiaobing, 2023. "A novel analytical unified energy flow calculation method for integrated energy systems based on holomorphic embedding," Applied Energy, Elsevier, vol. 344(C).
    • Handle: RePEc:eee:appene:v:344:y:2023:i:c:s0306261923005275
    DOI: 10.1016/j.apenergy.2023.121163
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261923005275
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.apenergy.2023.121163?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. 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.
    2. Jiaqi Shi & Ling Wang & Yingrui Wang & Jianhua Zhang, 2017. "Generalized Energy Flow Analysis Considering Electricity Gas and Heat Subsystems in Local-Area Energy Systems Integration," Energies, MDPI, vol. 10(4), pages 1-17, April.
    3. 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.
    4. Qin, Xin & Sun, Hongbin & Shen, Xinwei & Guo, Ye & Guo, Qinglai & Xia, Tian, 2019. "A generalized quasi-dynamic model for electric-heat coupling integrated energy system with distributed energy resources," Applied Energy, Elsevier, vol. 251(C), pages 1-1.
    5. Zhang, Tong & Li, Zhigang & Wu, Qiuwei & Pan, Shixian & Wu, Q.H., 2022. "Dynamic energy flow analysis of integrated gas and electricity systems using the holomorphic embedding method," Applied Energy, Elsevier, vol. 309(C).
    6. Sun, Qiuye & Dong, Qianyu & You, Shi & Li, Zhibo & Wang, Rui, 2020. "A unified energy flow analysis considering initial guesses in complex multi-energy carrier systems," Energy, Elsevier, vol. 213(C).
    7. Liu, Xuezhi & Mancarella, Pierluigi, 2016. "Modelling, assessment and Sankey diagrams of integrated electricity-heat-gas networks in multi-vector district energy systems," Applied Energy, Elsevier, vol. 167(C), pages 336-352.
    8. Tian, Hang & Zhao, Haoran & Liu, Chunyang & Chen, Jian & Wu, Qiuwei & Terzija, Vladimir, 2022. "A dual-driven linear modeling approach for multiple energy flow calculation in electricity–heat system," Applied Energy, Elsevier, vol. 314(C).
    Full references (including those not matched with items on IDEAS)

    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. Tian, Hang & Zhao, Haoran & Liu, Chunyang & Chen, Jian & Wu, Qiuwei & Terzija, Vladimir, 2022. "A dual-driven linear modeling approach for multiple energy flow calculation in electricity–heat system," Applied Energy, Elsevier, vol. 314(C).
    2. Dancker, Jonte & Wolter, Martin, 2021. "Improved quasi-steady-state power flow calculation for district heating systems: A coupled Newton-Raphson approach," Applied Energy, Elsevier, vol. 295(C).
    3. Yao, Shuai & Gu, Wei & Wu, Jianzhong & Lu, Hai & Zhang, Suhan & Zhou, Yue & Lu, Shuai, 2022. "Dynamic energy flow analysis of the heat-electricity integrated energy systems with a novel decomposition-iteration algorithm," Applied Energy, Elsevier, vol. 322(C).
    4. Steinegger, Josef & Wallner, Stefan & Greiml, Matthias & Kienberger, Thomas, 2023. "A new quasi-dynamic load flow calculation for district heating networks," Energy, Elsevier, vol. 266(C).
    5. Dancker, Jonte & Klabunde, Christian & Wolter, Martin, 2021. "Sensitivity factors in electricity-heating integrated energy systems," Energy, Elsevier, vol. 229(C).
    6. Zhang, Suhan & Gu, Wei & Lu, Hai & Qiu, Haifeng & Lu, Shuai & Wang, Dada & Liang, Junyu & Li, Wenyun, 2021. "Superposition-principle based decoupling method for energy flow calculation in district heating networks," Applied Energy, Elsevier, vol. 295(C).
    7. Tian, Xingtao & Lin, Xiaojie & Zhong, Wei & Zhou, Yi, 2022. "Security assessment of electricity-gas-heat integrated energy systems based on the vulnerability index," Energy, Elsevier, vol. 249(C).
    8. Chen, Yuxin & Jiang, Yuewen, 2023. "Interval energy flow calculation method for electricity-heat-hydrogen integrated energy system considering the correlation between variables," Energy, Elsevier, vol. 263(PB).
    9. Luo, Xi & Liu, Yanfeng & Feng, Pingan & Gao, Yuan & Guo, Zhenxiang, 2021. "Optimization of a solar-based integrated energy system considering interaction between generation, network, and demand side," Applied Energy, Elsevier, vol. 294(C).
    10. 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).
    11. Hosseini, Seyed Hamid Reza & Allahham, Adib & Walker, Sara Louise & Taylor, Phil, 2020. "Optimal planning and operation of multi-vector energy networks: A systematic review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 133(C).
    12. Wang, Lixiao & Jing, Z.X. & Zheng, J.H. & Wu, Q.H. & Wei, Feng, 2018. "Decentralized optimization of coordinated electrical and thermal generations in hierarchical integrated energy systems considering competitive individuals," Energy, Elsevier, vol. 158(C), pages 607-622.
    13. Guoqiang Sun & Wenxue Wang & Yi Wu & Wei Hu & Zijun Yang & Zhinong Wei & Haixiang Zang & Sheng Chen, 2019. "A Nonlinear Analytical Algorithm for Predicting the Probabilistic Mass Flow of a Radial District Heating Network," Energies, MDPI, vol. 12(7), pages 1-20, March.
    14. Beigvand, Soheil Derafshi & Abdi, Hamdi & La Scala, Massimo, 2017. "A general model for energy hub economic dispatch," Applied Energy, Elsevier, vol. 190(C), pages 1090-1111.
    15. Yu Huang & Weiting Zhang & Kai Yang & Weizhen Hou & Yiran Huang, 2019. "An Optimal Scheduling Method for Multi-Energy Hub Systems Using Game Theory," Energies, MDPI, vol. 12(12), pages 1-20, June.
    16. Patrick Sunday Onen & Geev Mokryani & Rana H. A. Zubo, 2022. "Planning of Multi-Vector Energy Systems with High Penetration of Renewable Energy Source: A Comprehensive Review," Energies, MDPI, vol. 15(15), pages 1-25, August.
    17. Zhang, Suhan & Gu, Wei & Qiu, Haifeng & Yao, Shuai & Pan, Guangsheng & Chen, Xiaogang, 2021. "State estimation models of district heating networks for integrated energy system considering incomplete measurements," Applied Energy, Elsevier, vol. 282(PA).
    18. Wang, Jiawei & You, Shi & Zong, Yi & Træholt, Chresten & Dong, Zhao Yang & Zhou, You, 2019. "Flexibility of combined heat and power plants: A review of technologies and operation strategies," Applied Energy, Elsevier, vol. 252(C), pages 1-1.
    19. Wang, L.X. & Zheng, J.H. & Li, M.S. & Lin, X. & Jing, Z.X. & Wu, P.Z. & Wu, Q.H. & Zhou, X.X., 2019. "Multi-time scale dynamic analysis of integrated energy systems: An individual-based model," Applied Energy, Elsevier, vol. 237(C), pages 848-861.
    20. Chen, Dongwen & Hu, Xiao & Li, Yong & Abbas, Zulkarnain & Wang, Ruzhu & Li, Dehong, 2023. "Nodal conservation principle of potential energy flow analysis for energy flow calculation in energy internet," Energy, Elsevier, vol. 263(PA).

    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:appene:v:344:y:2023:i:c:s0306261923005275. 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.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    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.