IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v334y2025ics0360544225034097.html

Multi-entity pricing-enabled supply recovery for electricity-gas energy system with coordinated flexibilities: a hierarchical game approach

Author

Listed:
  • Lv, Chaoxian
  • Chai, Yuanyuan
  • Qu, Kaiping
  • Liang, Rui

Abstract

Multiple stakeholders coexist in electricity-gas energy system (EGES), challenging multi-resource coordinated recovery in case of emergencies under market circumstances. This paper proposes a multi-entity pricing-enabled resource synergy strategy for supply recovery and benefit equilibrium via hierarchical game approach. Firstly, a Stackelberg game-based pricing framework, with power distribution network (PDN) as leader and integrated energy station cluster (IESC) as follower, is established for price-incentive restoration. By optimal emergency response transactive price incentive, exploitable flexibilities from islanding partition of PDN and bidirectional gas flow of natural gas system (NGS), as well as peer-to peer (P2P) interaction within IESC, are synergistically leveraged with recovery level facilitated. Through leader's convexification and follower's Karush-Kuhn-Tucker (KKT) condition generation constrained by NGS's cone model, bi-level price-guidance recovery is tackled into single-level problem, which is a tractable mixed-integer second-order cone programming (MISOCP) formulation. Secondly, considering recovery contribution related to energy and importance factors, a bargaining ability-aware P2P trading cooperative model is elaborated to obtain fair benefit allocation for individuals in IESC. The asymmetric Nash pricing embedding alternating direction method of multiplier (ADMM) is applied to achieve benefit equilibrium. Finally, numerical simulations are conducted to validate the effectiveness and priority of the employed model in coordinating multi-entity flexibility for fault recovery and balancing conflicts of interest.

Suggested Citation

  • Lv, Chaoxian & Chai, Yuanyuan & Qu, Kaiping & Liang, Rui, 2025. "Multi-entity pricing-enabled supply recovery for electricity-gas energy system with coordinated flexibilities: a hierarchical game approach," Energy, Elsevier, vol. 334(C).
  • Handle: RePEc:eee:energy:v:334:y:2025:i:c:s0360544225034097
    DOI: 10.1016/j.energy.2025.137767
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544225034097
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.energy.2025.137767?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Zhang, Xinyue & Guo, Xiaopeng & Zhang, Xingping, 2023. "Bidding modes for renewable energy considering electricity-carbon integrated market mechanism based on multi-agent hybrid game," Energy, Elsevier, vol. 263(PA).
    2. He, Chuan & Zhou, You & Liu, Xuan & Nan, Lu & Liu, Tianqi & Wu, Lei, 2025. "Reliability-constrained distributionally robust expansion planning of integrated electricity-gas distribution system with demand response," Energy, Elsevier, vol. 321(C).
    3. Wang, Chunling & Liu, Chunming & Chen, Jian & Zhang, Gaoyuan, 2024. "Cooperative planning of renewable energy generation and multi-timescale flexible resources in active distribution networks," Applied Energy, Elsevier, vol. 356(C).
    4. Qiu, Dawei & Baig, Aimon Mirza & Wang, Yi & Wang, Lingling & Jiang, Chuanwen & Strbac, Goran, 2024. "Market design for ancillary service provisions of inertia and frequency response via virtual power plants: A non-convex bi-level optimisation approach," Applied Energy, Elsevier, vol. 361(C).
    5. Ji, Haoran & Wang, Chengshan & Li, Peng & Song, Guanyu & Wu, Jianzhong, 2018. "SOP-based islanding partition method of active distribution networks considering the characteristics of DG, energy storage system and load," Energy, Elsevier, vol. 155(C), pages 312-325.
    6. Zhou, Yizhou & Li, Xiang & Han, Haiteng & Wei, Zhinong & Zang, Haixiang & Sun, Guoqiang & Chen, Sheng, 2024. "Resilience-oriented planning of integrated electricity and heat systems: A stochastic distributionally robust optimization approach," Applied Energy, Elsevier, vol. 353(PA).
    7. Jia, Hongjie & Liang, Shuo & Jin, Xiaolong & Mu, Yunfei & Wei, Wei & Yang, Jiaquan & Yu, Xiaodan & Luan, Tian, 2025. "Bi-level optimization of a low-carbon industrial park with an air source heat pump array considering the cold island effect: A real case from China," Energy, Elsevier, vol. 324(C).
    8. Lv, Chaoxian & Liang, Rui & Jin, Wei & Chai, Yuanyuan & Yang, Tiankai, 2022. "Multi-stage resilience scheduling of electricity-gas integrated energy system with multi-level decentralized reserve," Applied Energy, Elsevier, vol. 317(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. He, Junqiang & Zhao, Haiyan & Yin, Jingyuan & Shi, Changli, 2026. "A hierarchical game-based price-demand-energy hub operation coordinated optimization strategy for near-carbon-neutral hydrogen industrial parks," Renewable Energy, Elsevier, vol. 258(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. Kandpal, Bakul & Backe, Stian & Crespo del Granado, Pedro, 2024. "Enhancing bargaining power for energy communities in renewable power purchase agreements using Gaussian learning and fixed price bargaining," Energy, Elsevier, vol. 309(C).
    2. Li, Peng & Ji, Haoran & Yu, Hao & Zhao, Jinli & Wang, Chengshan & Song, Guanyu & Wu, Jianzhong, 2019. "Combined decentralized and local voltage control strategy of soft open points in active distribution networks," Applied Energy, Elsevier, vol. 241(C), pages 613-624.
    3. Tan, Qinliang & Han, Jian & Liu, Yuan, 2023. "Examining the synergistic diffusion process of carbon capture and renewable energy generation technologies under market environment: A multi-agent simulation analysis," Energy, Elsevier, vol. 282(C).
    4. Min Pang & Yichang Zhang & Sha He & Qiong Li, 2023. "Influencing Factors and Their Influencing Mechanisms on Integrated Power and Gas System Coupling," Sustainability, MDPI, vol. 15(17), pages 1-13, September.
    5. Hanwen Wang & Xiang Li & Haojun Hu & Yizhou Zhou, 2024. "Distributed Dispatch and Profit Allocation for Parks Using Co-Operative Game Theory and the Generalized Nash Bargaining Approach," Energies, MDPI, vol. 17(23), pages 1-19, December.
    6. Hao, Junhong & Feng, Xiaolong & Chen, Xiangru & Jin, Xilin & Wang, Xingce & Hao, Tong & Hong, Feng & Du, Xiaoze, 2024. "Optimal scheduling of active distribution network considering symmetric heat and power source-load spatial-temporal characteristics," Applied Energy, Elsevier, vol. 373(C).
    7. Yang, Jingyue & Zhang, Hao & Li, Chenxi & Guo, Pengcheng & Ming, Bo, 2025. "Quantifying the flexibility regulation potential and economic value of pumped storage in extreme scenarios of multi-energy complementary system," Energy, Elsevier, vol. 329(C).
    8. Nadeem, Muhammad & Wang, Zilong & Shakeel, Muhammad, 2023. "Real output, fossil fuels, clean fuels and trade dynamics: New insights from structural break models in China," Applied Energy, Elsevier, vol. 350(C).
    9. Zhu, Haohao & Wang, Xiluo & Wen, Yutong & Zhu, Jizhong & Li, Jiayi & Luo, Qingju & Liao, Chenlei, 2025. "A review of integrated energy system modeling and operation," Applied Energy, Elsevier, vol. 400(C).
    10. Xiao, Yulong & Li, Chaoshun & Li, Shiqi & Zhu, Qiannan & Chang, Pengxia & Wu, Ting, 2025. "Bidding-clearing-scheduling coordinated optimization for cascade hydro-wind-photovoltaic alliances in electricity spot markets: A multi-stage framework," Energy, Elsevier, vol. 335(C).
    11. Wang, Qi & Huang, Chunyi & Wang, Chengmin & Li, Kangping & Xie, Ning, 2024. "Joint optimization of bidding and pricing strategy for electric vehicle aggregator considering multi-agent interactions," Applied Energy, Elsevier, vol. 360(C).
    12. Xiande, Zhang & Chonghui, Fu & Pengcheng, Xie & Yajie, Bo & Feng, Pan & Wenjun, Wang, 2025. "Carbon price prediction model based on multi-agent and environment co-evolution," Energy, Elsevier, vol. 328(C).
    13. Shi, Shouyuan & Yu, Tao & Lan, Chaofan & Pan, Zhenning, 2024. "Estimating the actual emission cost in an annual compliance cycle: Synergistic generation and carbon trading optimization for price-taking generation companies," Applied Energy, Elsevier, vol. 376(PA).
    14. Wanli Fang & Yijie Bian, 2024. "Do Affordable, Clean, and Modern Energy Matter for Environmental Sustainability? The Dynamic Effects of Different Strategies of Renewable Energy, Carbon Emissions, and Trade Openness on Sustainable Economic Growth," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 15(2), pages 9440-9451, June.
    15. Wang, Benke & Li, Chunhua & Ban, Yongshuang & Zhao, Zeming & Wang, Zengxu, 2024. "A two-tier bidding model considering a multi-stage offer‑carbon joint incentive clearing mechanism for coupled electricity and carbon markets," Applied Energy, Elsevier, vol. 368(C).
    16. Changsen Feng & Zhongliang Huang & Jun Lin & Licheng Wang & Youbing Zhang & Fushuan Wen, 2025. "Aggregation Model and Market Mechanism for Virtual Power Plant Participation in Inertia and Primary Frequency Response," Papers 2503.04854, arXiv.org, revised Jan 2026.
    17. Xiao, Yunpeng & Zhu, Yuerong & Qu, Ying & Xie, Haipeng & Wang, Xiuli & Wang, Xifan, 2025. "A market for power system resilience provision," Applied Energy, Elsevier, vol. 382(C).
    18. Yang, Xiang & Liu, Xinghua & Li, Zhengmao & Xiao, Gaoxi & Wang, Peng, 2025. "Resilience-oriented proactive operation strategy of coupled transportation power systems under exogenous and endogenous uncertainties," Reliability Engineering and System Safety, Elsevier, vol. 262(C).
    19. Xuan, Ang & Shen, Xinwei & Luo, Yangfan, 2025. "Bi-level Integrated Electricity and Natural Gas System retrofit planning model considering Carbon Capture, Utilization and Storage," Applied Energy, Elsevier, vol. 385(C).
    20. Zhao, Conghao & Zhou, Ming & Li, Jian & Fu, Zhihang & Liu, Dazheng & Wu, Zhaoyuan, 2025. "Evolutionary pathways of renewable power system considering low-carbon policies: An agent-based modelling approach," Renewable Energy, Elsevier, vol. 244(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    JEL classification:

    Statistics

    Access and download statistics

    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:334:y:2025:i:c:s0360544225034097. 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.