MULTI-PARK COMPREHENSIVE ENERGY OPTIMIZATION METHOD BASED ON NODAL CARBON POTENTIAL AND DUAL GAME

Tuo Xianfeng, Chen Qian, Xu Yang, Wang Sijin

Acta Energiae Solaris Sinica ›› 2026, Vol. 47 ›› Issue (8) : 509-523.

PDF(1687 KB)
Welcome to visit Acta Energiae Solaris Sinica, Today is
PDF(1687 KB)
Acta Energiae Solaris Sinica ›› 2026, Vol. 47 ›› Issue (8) : 509-523. DOI: 10.19912/j.0254-0096.tynxb.2025-0638

MULTI-PARK COMPREHENSIVE ENERGY OPTIMIZATION METHOD BASED ON NODAL CARBON POTENTIAL AND DUAL GAME

  • Tuo Xianfeng1, Chen Qian1, Xu Yang2, Wang Sijin1
Author information +
History +

Abstract

To address the problems of unclear carbon responsibility allocation and insufficient carbon reduction motivation among multiple parks under the carbon trading and green certificate mechanisms, this paper proposes a multi-park comprehensive energy optimization method based on nodal carbon potential and dual game. Firstly, the carbon potential model whose node is the energy sub network of a park is established, then the carbon responsibility allocation method based on the model above is proposed. Secondly, a Stackelberg game model between integrated energy suppliers and load aggregators in the park is established, and a Nash game model is used to address the cooperative game between multiple parks, thereby forming a dual game mechanism. Thirdly, the model is transformed by combining interval possibility transformation and KKT conditions, and an accelerated ADMM algorithm is proposed for solving. Finally, the correctness and effectiveness of the proposed model and improved algorithm are verified through comparison of numerical examples, that carbon responsibilities can be located effectively, with carbon emissions of multiple parks reduced and benefits overall improved.

Key words

game theory / low-carbon economy / energy internet / nodal carbon potential / alternating direction method of multipliers(ADMM) / carbon trading

Cite this article

Download Citations
Tuo Xianfeng, Chen Qian, Xu Yang, Wang Sijin. MULTI-PARK COMPREHENSIVE ENERGY OPTIMIZATION METHOD BASED ON NODAL CARBON POTENTIAL AND DUAL GAME[J]. Acta Energiae Solaris Sinica. 2026, 47(8): 509-523 https://doi.org/10.19912/j.0254-0096.tynxb.2025-0638

References

[1] 陈庆斌, 杨耿煌, 耿丽清, 等. 考虑源荷不确定性和柔性负荷的综合能源系统低碳运行调度[J]. 太阳能学报, 2025, 46(4): 183-192.
Chen Q B, Yang G H, Geng L Q, et al.Low-carbon operation scheduling of integrated energy system considering source-load uncertainty and flexible loads[J]. Acta Energiae Solaris Sinica, 2025, 46(4): 183-192.
[2] 李鹏, 窦真兰, 吴和先, 等. 计及多重不确定性的小型园区多能源系统优化调度方法[J]. 太阳能学报, 2025, 46(3): 214-224.
Li P, Dou Z L, Wu H X, et al.Optimal scheduling method for small-scale community multi-energy system considering multiple uncertainties[J]. Acta Energiae Solaris Sinica, 2025, 46(3): 214-224.
[3] 柳思贤, 丁坤, 董海鹰. 考虑碳捕集和电转气的零碳园区综合能源系统经济调度[J]. 太阳能学报, 2024, 45(9): 188-196.
Liu S X, Ding K, Dong H Y.Zero-carbon economic dispatch of park integrated energy system considering carbon capture and power to gas[J]. Acta Energiae Solaris Sinica, 2024, 45(9): 188-196.
[4] 张沈习, 王丹阳, 程浩忠, 等. 双碳目标下低碳综合能源系统规划关键技术及挑战[J]. 电力系统自动化, 2022, 46(8): 189-207.
Zhang S X, Wang D Y, Cheng H Z, et al.Key technologies and challenges of low-carbon integrated energy system planning for carbon emission peak and carbon neutrality[J]. Automation of Electric Power Systems, 2022, 46(8): 189-207.
[5] 国务院. 国务院关于加快建立健全绿色低碳循环发展经济体系的指导意见(国发[2021]4号)[J]. 中华人民共和国国务院公报, 2021(7): 39-43.
State Council.Guiding opinions of the state council on accelerating the establishment and improvement of a green and low-carbon circular development economic system[J]. Gazette of the State Council of the People’s Republic of China, 2021(7): 39-43.
[6] 杨丽君, 李慧翔, 吕雪姣, 等. 多电-热综合能源微网的热能分级分时利用市场交易策略[J]. 中国电机工程学报, 2021, 41(23): 8046-8056.
Yang L J, Li H X, Lyu X J, et al.Market trading strategy of thermal hierarchical time sharing utilization in multi electric-thermal integrated energy microgrid[J]. Proceedings of the CSEE, 2021, 41(23): 8046-8056.
[7] Yang M, Liu Y S, Kobashi T.Asymmetric Nash bargaining model for operation optimization of multi-integrated energy systems considering peer-to-peer energy trading[J]. Sustainable Cities and Society, 2024, 114: 105791.
[8] Wu Y X, Zhao T Y, Yan H Y, et al.Hierarchical hybrid multi-agent deep reinforcement learning for peer-to-peer energy trading among multiple heterogeneous microgrids[J]. IEEE Transactions on Smart Grid, 2023, 14(6): 4649-4665.
[9] Alskaif T, Crespo-Vazquez J L, Sekuloski M, et al. Blockchain-based fully peer-to-peer energy trading strategies for residential energy systems[J]. IEEE Transactions on Industrial Informatics, 2022, 18(1): 231-241.
[10] He J, Li Y, Li H Q, et al.Application of game theory in integrated energy system systems: a review[J]. IEEE Access, 2020, 8: 93380-93397.
[11] 董雷, 倪佳炜, 张师铭, 等. 基于双重博弈的电价套餐设计方法[J]. 电网技术, 2024, 48(2): 688-696.
Dong L, Ni J W, Zhang S M, et al.Designing of electricity price package method based on dual game[J]. Power System Technology, 2024, 48(2): 688-696.
[12] Fang F, Zhu Z Y, Jin S P, et al.Two-layer game theoretic microgrid capacity optimization considering uncertainty of renewable energy[J]. IEEE Systems Journal, 2021, 15(3): 4260-4271.
[13] Chai B, Chen J M, Yang Z Y, et al.Demand response management with multiple utility companies: a two-level game approach[J]. IEEE Transactions on Smart Grid, 2014, 5(2): 722-731.
[14] 牛焕娜, 王青林, 袁嘉兴, 等. 基于三层博弈的社区综合能源系统电热交易策略[J]. 电力系统保护与控制, 2024, 52(5): 25-37.
Niu H N, Wang Q L, Yuan J X, et al.Heat-electricity trading decisions of a community integrated energy system based on three-layer game theory[J]. Power System Protection and Control, 2024, 52(5): 25-37.
[15] 岳子宜, 刘华志, 李永刚. 基于多阶段双重博弈的多园区随机场景低碳分布式调度优化[J]. 中国电机工程学报, 2024, 44(22): 8860-8873.
Yue Z Y, Liu H Z, Li Y G.Low-carbon distributed scheduling optimization for multi-park stochastic situations based on a multi-stage dual game[J]. Proceedings of the CSEE, 2024, 44(22): 8860-8873.
[16] 颜宁, 马广超, 李相俊, 等. 基于季节性碳交易机制的园区综合能源系统低碳经济调度[J]. 中国电机工程学报, 2024, 44(3): 918-931.
Yan N, Ma G C, Li X J, et al.Low-carbon economic dispatch of park integrated energy system based on seasonal carbon trading mechanism[J]. Proceedings of the CSEE, 2024, 44(3): 918-931.
[17] Wang Y D, Hu J J, Liu N.Energy management in integrated energy system using energy-carbon integrated pricing method[J]. IEEE Transactions on Sustainable Energy, 2023, 14(4): 1992-2005.
[18] 李沅, 陆帅, 顾伟, 等. 考虑热动态的综合能源系统碳排放流建模与分析[J]. 电力自动化设备, 2024, 44(7): 205-213.
Li Y, Lu S, Gu W, et al.Modelling and analysis of carbon emission flow for integrated energy system considering thermal dynamic[J]. Electric Power Automation Equipment, 2024, 44(7): 205-213.
[19] 曹逸滔, 王丹, 贾宏杰, 等. 计及站-网损耗分摊的区域综合能源系统碳排放流计算方法[J]. 电力系统自动化, 2024, 48(12): 14-23.
Cao Y T, Wang D, Jia H J, et al.Calculation method for carbon emission flow in regional integrated energy system considering station-network loss allocation[J]. Automation of Electric Power Systems, 2024, 48(12): 14-23.
[20] 边晓燕, 吴珊, 赵健, 等. 考虑源荷碳责任分摊的新型电力系统多级灵活性资源规划[J]. 电力自动化设备, 2024, 44(2): 155-164.
Bian X Y, Wu S, Zhao J, et al.Multi-level flexible resource planning of new power system considering source-load carbon responsibility allocation[J]. Electric Power Automation Equipment, 2024, 44(2): 155-164.
[21] 杨明, 李明冰, 张玉敏, 等. 基于纳什议价模型的园区综合能源系统低碳优化调度[J]. 电力系统自动化, 2025, 49(19): 39-48.
Yang M, Li M B, Zhang Y M, et al.Low carbon optimal dispatch of integrated energy park based on Nash bargaining model[J]. Automation of Electric Power Systems, 2025, 49(19): 39-48.
[22] 李鹏, 王加浩, 黎灿兵, 等. 计及源荷不确定性与设备变工况特性的园区综合能源系统协同优化运行方法[J]. 中国电机工程学报, 2023, 43(20): 7802-7811.
Li P, Wang J H, Li C B, et al.Collaborative optimal scheduling of the community integrated energy system considering source-load uncertainty and equipment off-design performance[J]. Proceedings of the CSEE, 2023, 43(20): 7802-7811.
[23] 陈丽霞, 孙弢, 周云, 等. 电力系统发电侧和负荷侧共同碳责任分摊方法[J]. 电力系统自动化, 2018, 42(19): 106-111.
Chen L X, Sun T, Zhou Y, et al.Method of carbon obligation allocation between generation side and demand side in power system[J]. Automation of Electric Power Systems, 2018, 42(19): 106-111.
[24] 陈乐飞, 朱自伟, 王凯, 等. 基于混合博弈的配电网与多综合能源微网优化运行[J]. 电网技术, 2023, 47(6): 2229-2238.
Chen L F, Zhu Z W, WANG K, et al.Optimal operation of distribution networks and multiple integrated energy microgrids based on mixed game theory[J]. Power System Technology, 2023, 47(6): 2229-2238.
[25] Han H T, Xu Y T, Wu C, et al.Nash equilibrium-based two-stage cooperative operation strategy for multi-microgrids considering uncertainty[J]. Protection and Control of Modern Power Systems, 2024, 9(6): 42-57.
[26] Chen J, Tang Z Y, Huang Y, et al.Asymmetric Nash bargaining-based cooperative energy trading of multi-park integrated energy system under carbon trading mechanism[J]. Electric Power Systems Research, 2024, 228: 110033.
[27] He B S, Yuan X M.On non-ergodic convergence rate of Douglas-Rachford alternating direction method of multipliers[J]. Numerische Mathematik, 2015, 130(3): 567-577.
[28] O’Donoghue B, CandèS E. Adaptive restart for accelerated gradient schemes[J]. Foundations of Computational Mathematics, 2015, 15(3): 715-732.
[29] 张亚超, 谢仕炜, 朱蜀. 多区域互联电-气耦合系统分散协调分布鲁棒优化调度[J]. 电力系统自动化, 2022, 46(19): 31-42.
Zhang Y C, Xie S W, Zhu S.Decentralized coordinated distributionally robust optimal scheduling of multi-area interconnected electricity-gas coupling system[J]. Automation of Electric Power Systems, 2022, 46(19): 31-42.
PDF(1687 KB)

Accesses

Citation

Detail

Sections
Recommended

/