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Trajectory simulation and optimization for interactive electricity-carbon system evolution

Author

Listed:
  • Jiang, Kai
  • Wang, Kunyu
  • Wu, Chengyu
  • Chen, Guo
  • Xue, Yusheng
  • Dong, Zhaoyang
  • Liu, Nian

Abstract

Many countries have set power system emissions reduction goals. However, in developing the electricity‑carbon system, regulators may prioritize final targets while overlooking the planning of pathways. The paper aims to develop a simulation framework for the long-term interactive evolution of electricity‑carbon systems and optimize a developing trajectory. To begin, the electricity system is modeled as a daily spot market over 365 days, and simulated by fast unit commitment (FUC) method. Then, considering the internal multi-player gaming, the multi-class mean field game (MMFG) theory is introduced to simulate the carbon market. Subsequently, a state transition equation for the electricity‑carbon evolution is formulated based on the concept of trajectory optimization from optimal control theory. Here, the regulator can steer the evolution by adjusting the carbon emission intensity benchmark (CEIB) in the carbon market. Finally, employing the Twin Delayed Deep Deterministic Policy Gradients (TD3) technique, the problem characterized by high-dimensional state space and continuous action space is efficiently solved. The effectiveness of the proposed method is examined by case studies on a provincial-scale grid with over 200 units, where the optimal CEIB can be achieved within a second and the control precision of trajectory evolution can be limited to 2%.

Suggested Citation

  • Jiang, Kai & Wang, Kunyu & Wu, Chengyu & Chen, Guo & Xue, Yusheng & Dong, Zhaoyang & Liu, Nian, 2024. "Trajectory simulation and optimization for interactive electricity-carbon system evolution," Applied Energy, Elsevier, vol. 360(C).
  • Handle: RePEc:eee:appene:v:360:y:2024:i:c:s0306261924001910
    DOI: 10.1016/j.apenergy.2024.122808
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    1. Ryna Yiyun Cui & Nathan Hultman & Diyang Cui & Haewon McJeon & Sha Yu & Morgan R. Edwards & Arijit Sen & Kaihui Song & Christina Bowman & Leon Clarke & Junjie Kang & Jiehong Lou & Fuqiang Yang & Jiaha, 2021. "A plant-by-plant strategy for high-ambition coal power phaseout in China," Nature Communications, Nature, vol. 12(1), pages 1-10, December.
    2. Chaton, Corinne & Creti, Anna & Peluchon, Benoît, 2015. "Banking and back-loading emission permits," Energy Policy, Elsevier, vol. 82(C), pages 332-341.
    3. Li, Junkai & Ge, Shaoyun & Liu, Hong & Yu, Qi & Zhang, Shida & Wang, Chengshan & Gu, Chenghong, 2024. "An electricity and carbon trading mechanism integrated with TSO-DSO-prosumer coordination," Applied Energy, Elsevier, vol. 356(C).
    4. Tang, Ling & Shi, Jiarui & Bao, Qin, 2016. "Designing an emissions trading scheme for China with a dynamic computable general equilibrium model," Energy Policy, Elsevier, vol. 97(C), pages 507-520.
    5. Sun, Qingkai & Wang, Xiaojun & Liu, Zhao & Mirsaeidi, Sohrab & He, Jinghan & Pei, Wei, 2022. "Multi-agent energy management optimization for integrated energy systems under the energy and carbon co-trading market," Applied Energy, Elsevier, vol. 324(C).
    6. Bel, Germà & Joseph, Stephan, 2015. "Emission abatement: Untangling the impacts of the EU ETS and the economic crisis," Energy Economics, Elsevier, vol. 49(C), pages 531-539.
    7. Xenophon, Aleksis Kazubiernis & Hill, David John, 2019. "Emissions reduction and wholesale electricity price targeting using an output-based mechanism," Applied Energy, Elsevier, vol. 242(C), pages 1050-1063.
    8. Zhu, Bangzhu & Han, Dong & Chevallier, Julien & Wei, Yi-Ming, 2017. "Dynamic multiscale interactions between European carbon and electricity markets during 2005–2016," Energy Policy, Elsevier, vol. 107(C), pages 309-322.
    9. Jiang, Kai & Yan, Xiaohe & Liu, Nian & Wang, Peng, 2022. "Energy trade-offs in coupled ICM and electricity market under dynamic carbon emission intensity," Energy, Elsevier, vol. 260(C).
    10. Dimitriadis, Christos N. & Tsimopoulos, Evangelos G. & Georgiadis, Michael C., 2023. "Optimal bidding strategy of a gas-fired power plant in interdependent low-carbon electricity and natural gas markets," Energy, Elsevier, vol. 277(C).
    11. Ghasemnejad, Homayoun & Rashidinejad, Masoud & Abdollahi, Amir & Dorahaki, Sobhan, 2024. "Energy management in citizen energy communities: A flexibility-constrained robust optimization approach considering prosumers comfort," Applied Energy, Elsevier, vol. 356(C).
    12. Zhang, Lirong & Li, Yakun & Jia, Zhijie, 2018. "Impact of carbon allowance allocation on power industry in China’s carbon trading market: Computable general equilibrium based analysis," Applied Energy, Elsevier, vol. 229(C), pages 814-827.
    13. Zhang, Menghan & Yang, Zhifang & Lin, Wei & Yu, Juan & Dai, Wei & Du, Ershun, 2021. "Enhancing economics of power systems through fast unit commitment with high time resolution," Applied Energy, Elsevier, vol. 281(C).
    14. Li, Yan & Feng, Tian-tian & Liu, Li-li & Zhang, Meng-xi, 2023. "How do the electricity market and carbon market interact and achieve integrated development?--A bibliometric-based review," Energy, Elsevier, vol. 265(C).
    15. repec:dau:papers:123456789/14770 is not listed on IDEAS
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