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Two-layer coordinated operation of multi-energy system considering carbon-oriented collaborative pricing mechanism via two-stage stochastic programming approach

Author

Listed:
  • Chen, Jie
  • Wu, Panfeng
  • Chen, Wu
  • Guerrero, Josep M.
  • Niu, Zhewen
  • Li, Zhengmao

Abstract

To achieve low-carbon goals in a multi-energy system, coupled with an Electricity-Hydrogen-Transportation (E-H-T) system with a high penetration level of renewables, this paper proposes a dual-layer two-stage Stochastic Programming (SP) method based on the Carbon-Oriented Collaborative Pricing Mechanism (COCPM). Firstly, a dual-layer scheduling model is formulated, integrating dynamic conversions and interactive coupling of multi-energy flows. This model leverages a carbon flow tracking feedback mechanism to accurately characterize the dynamic carbon flow feedback within both layers. Using the pricing criteria derived from the dynamic carbon flow, the COCPM is employed to promote low-carbon energy consumption decisions, thereby achieving coordinated source-load interaction. Secondly, a two-stage SP approach, enhanced with a decision-making method based on confidence intervals, is employed to robustly handle uncertainties from renewable generation and demand fluctuations. Then, KKT optimality conditions, synergistically integrated with adaptive piecewise linearization techniques and a rigorous Big-M complementarity enforcement scheme, are applied to reformulate the original bi-level nonlinear optimization problem into an equivalent single-layer Mixed-Integer Linear Programming (MILP) model, ensuring computationally tractable and provably near-optimal solutions. Finally, a test system based on the E33-H6-T14 system is applied, and simulation results validate that our method can achieve low-carbon, economical, and robust operation under uncertainties.

Suggested Citation

  • Chen, Jie & Wu, Panfeng & Chen, Wu & Guerrero, Josep M. & Niu, Zhewen & Li, Zhengmao, 2026. "Two-layer coordinated operation of multi-energy system considering carbon-oriented collaborative pricing mechanism via two-stage stochastic programming approach," Applied Energy, Elsevier, vol. 406(C).
    • Handle: RePEc:eee:appene:v:406:y:2026:i:c:s0306261925020288
    DOI: 10.1016/j.apenergy.2025.127298
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    1. Siqin, Zhuoya & Diao, Ruisheng & Zhao, Mingrui, 2025. "Two-stage distributionally robust bidding strategies for multi-energy virtual power plants in energy, reserve and carbon markets," Energy, Elsevier, vol. 334(C).
    2. El-Emam, Rami S. & Constantin, Alina & Bhattacharyya, Rupsha & Ishaq, Haris & Ricotti, Marco E., 2024. "Nuclear and renewables in multipurpose integrated energy systems: A critical review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 192(C).
    3. Wang, Can & Liu, Yuzheng & Zhang, Yu & Xi, Lei & Yang, Nan & Zhao, Zhuoli & Lai, Chun Sing & Lai, Loi Lei, 2025. "Strategy for optimizing the bidirectional time-of-use electricity price in multi-microgrids coupled with multilevel games," Energy, Elsevier, vol. 323(C).
    4. Emebu, Samuel & Pecha, Jiří & Janáčová, Dagmar, 2022. "Review on anaerobic digestion models: Model classification & elaboration of process phenomena," Renewable and Sustainable Energy Reviews, Elsevier, vol. 160(C).
    5. Zeng, Guihua & Liu, Mingbo & Lei, Zhenxing & Huang, Xinyi, 2024. "Bi-level robust planning of hydrogen energy system for integrated electricity–heat–hydrogen energy system considering multimode utilization of hydrogen," Energy, Elsevier, vol. 303(C).
    6. Dong, Haiyan & Fu, Yanbo & Jia, Qingquan & Zhang, Tie & Meng, Dequn, 2023. "Low carbon optimization of integrated energy microgrid based on life cycle analysis method and multi time scale energy storage," Renewable Energy, Elsevier, vol. 206(C), pages 60-71.
    7. Li, Jinhang & Chen, Heng & Qi, Yizheng & Wang, Yinan & Lei, Jing, 2025. "Collaborative optimization for cross-regional integrated energy systems producing electricity-heat-hydrogen based on generalized Nash bargaining," Energy, Elsevier, vol. 333(C).
    8. Zhang, Yachao & Xie, Shiwei & Shu, Shengwen, 2022. "Multi-stage robust optimization of a multi-energy coupled system considering multiple uncertainties," Energy, Elsevier, vol. 238(PC).
    9. Liping Huang & Fanxin Zhong & Chun Sing Lai & Bang Zhong & Qijun Xiao & Weitai Hsu, 2025. "A Ladder-Type Carbon Trading-Based Low-Carbon Economic Dispatch Model for Integrated Energy Systems with Flexible Load and Hybrid Energy Storage Optimization," Energies, MDPI, vol. 18(14), pages 1-27, July.
    10. Li, Zepeng & Wu, Qiuwei & Li, Hui & Nie, Chengkai & Tan, Jin, 2024. "Distributed low-carbon economic dispatch of integrated power and transportation system," Applied Energy, Elsevier, vol. 353(PA).
    11. Ghanbarzadeh, Taraneh & Habibi, Daryoush & Aziz, Asma, 2025. "Addressing reliability challenges in generation capacity planning under high penetration of renewable energy resources and storage solutions: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 212(C).
    12. Meschede, Henning & Piacentino, Antonio & Guzovic, Zvonimir & Lund, Henrik & Duic, Neven, 2024. "Integrated renewable energy systems as the basis for sustainable development of energy, water and environment systems," Energy, Elsevier, vol. 313(C).
    13. Lyu, Xiangmei & Liu, Tianqi & Liu, Xuan & He, Chuan & Nan, Lu & Zeng, Hong, 2023. "Low-carbon robust economic dispatch of park-level integrated energy system considering price-based demand response and vehicle-to-grid," Energy, Elsevier, vol. 263(PB).
    14. Fusco, Andrea & Gioffrè, Domenico & Francesco Castelli, Alessandro & Bovo, Cristian & Martelli, Emanuele, 2023. "A multi-stage stochastic programming model for the unit commitment of conventional and virtual power plants bidding in the day-ahead and ancillary services markets," Applied Energy, Elsevier, vol. 336(C).
    15. Pu, Yuchen & Li, Qi & Huo, Shasha & Breaz, Elena & Chen, Weirong & Gao, Fei, 2024. "Optimal configuration for shared electric-hydrogen energy storage for multiple integrated energy systems with mobile hydrogen transportation," Renewable Energy, Elsevier, vol. 237(PC).
    16. Bob van der Zwaan & Amir Fattahi & Francesco Dalla Longa & Mark Dekker & Detlef van Vuuren & Robert Pietzcker & Renato Rodrigues & Felix Schreyer & Daniel Huppmann & Johannes Emmerling & Stefan Pfenni, 2025. "Electricity- and hydrogen-driven energy system sector-coupling in net-zero CO2 emission pathways," Nature Communications, Nature, vol. 16(1), pages 1-12, December.
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