Multi-Objective Combinatorial Double Auction for Coupled Electricity-Carbon-Green Certificate Trading in Multi-Microgrid Systems
Huang Jingjie1, Yuan Liang2, Xie Yuzheng3, Yang Hongming1
1. State Key Laboratory of Disaster Prevention & Reduction for Power Grid Changsha University of Science & Technology Changsha 410114 China ; 2. Hunan Provincial Key Laboratory of Power Electronic Equipment and Power Electronic Power Networks Central South University Changsha 410083 China; 3. State Grid Hunan Electric Power Company Limited Economic & Technical Research Institute Changsha 410007 China
Abstract:Coordinated low-carbon operation of multi-microgrid (MMG) systems increasingly requires joint participation in electricity trading, carbon emission trading (CET), and green certificate trading (GCT). In practice, fragmented attribute accounting and strategic extreme bidding may reduce renewable accommodation and weaken transaction fairness. A coupled electricity-carbon-green certificate trading framework was developed to improve market linkage and promote low-carbon benefits sharing among multiple microgrids (MGs). A two-stage market-and-operation framework was established. In the day-ahead stage, each MG acted as both buyer and seller and submitted sealed bids for electricity, carbon allowances, and green certificates to a microgrid operator (MGO). A multi-objective combinatorial double auction (CDA) clearing model was formulated to (i) maximize MMG social welfare and (ii) maximize total winning quantities across the three commodities. Auction balance constraints were enforced, and price boundary constraints were imposed to mitigate extreme bids. The multi-objective problem was solved using fuzzy membership-based satisfaction aggregation to obtain a single compromise clearing outcome. To couple CET and GCT, a carbon-green certificate mutual-recognition method was introduced by mapping renewable attributes into carbon compliance credits based on the Chinese Certified Emission Reduction (CCER) mechanism, enabling consistent settlement between certificates and carbon allowances. In the intraday stage, MG operation was optimized using mixed-integer linear programming (MILP). Day-ahead cleared quantities and settlejianshments were embedded in the cost function, while controllable generators, energy storage, and flexible loads were dispatched to minimize operating cost under forecast errors. Residual imbalances in electricity, allowances, and certificates were settled via external markets. Compared with a baseline without coupled internal trading, the proposed framework increased renewable accommodation and reduced emissions by reallocating renewable surplus through internal transactions and by aligning environmental attributes with compliance incentives. After enabling carbon-green certificate mutual recognition, additional cost reductions were achieved for renewable-rich MGs, while renewable-deficit MGs improved renewable accommodation by 514 kW·h and 472.5 kW·h with corresponding emission reductions of 274.8 kg and 389.2 kg. The auction objective choice affected equity and coverage: welfare-only clearing minimized cost and emissions, volume-only clearing expanded transaction scale but increased marginal peak-hour reliance, and the proposed multi-objective rule balanced efficiency and participation. Under the multi-objective rule, the winning volume of MG4 decreased by 244.66 kW·h while that of MG5 increased by 1 097.8 kW·h, indicating improved allocation balance. A price-bounded multi-objective CDA coupled with intraday MILP dispatch enhances renewable accommodation, lowers emissions, and improves participation equity for MMG systems engaged in electricity-carbon-green certificate co-trading. Carbon-green mutual recognition provides a practical linkage that strengthens low-carbon incentives during transitional policy periods.
[1] 董雷, 杨子民, 乔骥, 等. 基于分层约束强化学习的综合能源多微网系统优化调度[J]. 电工技术学报, 2024, 39(5): 1436-1453. Dong Lei, Yang Zimin, Qiao Ji, et al.Optimal scheduling of integrated energy multi-microgrid system based on hierarchical constraint reinforcement learning[J]. Transactions of China Electrotechnical Society, 2024, 39(5): 1436-1453. [2] 洪芦诚, 王梓萩, 林今, 等. 电-碳-绿证市场背景下电氢协同典型形态及参与模式研究综述[J]. 电工技术学报, 2025, 40(23): 7498-7514. Hong Lucheng, Wang Ziqiu, Lin Jin, et al.A review of typical forms and participation models of electricity-hydrogen synergy in the context of electricity-carbon-green certificate markets[J]. Transactions of China Electrotechnical Society, 2025, 40(23): 7498-7514. [3] 袁亮, 宋啸宇, 黄婧杰, 等. 考虑电-热功率柔性平衡的电解铝园区综合能源系统协整优化调度[J/OL]. 中国电机工程学报, 2025: 1-14. (2025-11-07) [2025-12-23]. https://link.cnki.net/urlid/11.2107.tm.20251107.1124.010. Yuan Liang, Song Xiaoyu, Huang Jingjie, et al. Cointegration optimization scheduling of integrated energy systems for aluminum electrolysis parks considering flexible electric-thermal power balance [J/OL]. Proceedings of the CSEE, 2025: 1-14. (2025-11-07)[2025-12-23]. https://link.cnki.net/urlid/11.2107.tm.20251107.1124.010. [4] 梁宁, 缪猛, 徐慧慧, 等. 考虑绿证-碳交易机制的综合能源系统双层优化调度[J]. 太阳能学报, 2024, 45(7): 312-322. Liang Ning, Miao Meng, Xu Huihui, et al.Bi-level optimal scheduling of integrated energy system considering green certificates-carbon emission trading mechanism[J]. Acta Energiae Solaris Sinica, 2024, 45(7): 312-322. [5] 国家发展改革委, 财政部, 国家能源局. 关于做好可再生能源绿色电力证书全覆盖工作促进可再生能源电力消费的通知[EB/OL]. (2023-07-25)[2025-09-01]. https://www.ndrc.gov.cn/xwdt/tzgg/202308/t20230803_1359093.html. [6] 董雷, 李扬, 陈盛, 等. 考虑多重不确定性与电碳耦合交易的多微网合作博弈优化调度[J]. 电工技术学报, 2024, 39(9): 2635-2651. Dong Lei, Li Yang, Chen Sheng, et al.Multi-microgrid cooperative game optimization scheduling considering multiple uncertainties and coupled electricity-carbon transactions[J]. Transactions of China Electrotechnical Society, 2024, 39(9): 2635-2651. [7] 陈传彬. 考虑碳市场与可再生能源配额制的电能量市场交易机制优化[J]. 电气技术, 2025, 26(2): 56-62. Chen Chuanbin.Optimization of the trading mechanism of electric energy market considering carbon market and quota system[J]. Electrical Engineering, 2025, 26(2): 56-62. [8] Zhou Ying, Zhao Xingang.The impact of Renewable Portfolio Standards on carbon emission trading under the background of China’s electricity marketization reform[J]. Energy, 2021, 226: 120322. [9] 陈巍, 江岳文. 碳-绿证-电量市场耦合交易优化研究[J]. 电网技术, 2023, 47(6): 2273-2284. Chen Wei, Jiang Yuewen.Trading optimization of carbon-green certificate-electricity market coupling[J]. Power System Technology, 2023, 47(6): 2273-2284. [10] 李鹏, 刘浩, 李雨薇. 考虑两阶段碳交易的多园区综合能源微网混合博弈优化运行方法[J]. 电工技术学报, 2025, 40(15): 4788-4803. Li Peng, Liu Hao, Li Yuwei.Multi-park integrated energy microgrids hybrid game optimization strategy considering two-stage carbon trading[J]. Transactions of China Electrotechnical Society, 2025, 40(15): 4788-4803. [11] 李鹏, 吴迪凡, 李雨薇, 等. 基于综合需求响应和主从博弈的多微网综合能源系统优化调度策略[J]. 中国电机工程学报, 2021, 41(4): 1307-1321. Li Peng, Wu Difan, Li Yuwei, et al.Optimal dispatch of multi-microgrids integrated energy system based on integrated demand response and Stackelberg game[J]. Proceedings of the CSEE, 2021, 41(4): 1307-1321. [12] Li Qihui, Jia Xiaohua, Huang Chuanhe, et al.A dynamic combinatorial double auction model for cloud resource allocation[J]. IEEE Transactions on Cloud Computing, 2023, 11(3): 2873-2884. [13] 孙偲, 郑天文, 陈来军, 等. 基于组合双向拍卖的共享储能机制研究[J]. 电网技术, 2020, 44(5): 1732-1739. Sun Si, Zheng Tianwen, Chen Laijun, et al.Energy storage sharing mechanism based on combinatorial double auction[J]. Power System Technology, 2020, 44(5): 1732-1739. [14] 骆钊, 刘德文, 贾芸睿, 等. 考虑绿色氢能证书和水电制氢的综合能源系统优化运行[J]. 电网技术, 2024, 48(4): 1445-1454. Luo Zhao, Liu Dewen, Jia Yunrui, et al.Optimal operation of integrated energy system considering green hydrogen certificate and hydrogen production by hydropower[J]. Power System Technology, 2024, 48(4): 1445-1454. [15] Sun Tiankui, Lu Jian, Li Zhimin, et al.Modeling combined heat and power systems for microgrid applications[J]. IEEE Transactions on Smart Grid, 2018, 9(5): 4172-4180. [16] 赵万宗, 韦化, 韦昌福, 等. 考虑市场力风险约束的最优AGC控制模型[J]. 电力自动化设备, 2018, 38(5): 77-82, 109. Zhao Wanzong, Wei Hua, Wei Changfu, et al.Optimal AGC model with risk constraints of market power[J]. Electric Power Automation Equipment, 2018, 38(5): 77-82, 109. [17] 董礼, 王胜华, 华回春, 等. 中国现货电力市场中发电企业滥用市场力违规识别[J]. 中国电机工程学报, 2021, 41(24): 8397-8407. Dong Li, Wang Shenghua, Hua Huichun, et al.Identification of market power abuse in spot market of Chinese electric market[J]. Proceedings of the CSEE, 2021, 41(24): 8397-8407. [18] Huang Jingjie, Zhang Zhiyao, Yuan Liang, et al.Efficiency optimization model for coal-fired power plants with CCS in emissions trading markets[J]. Sustainable Energy Technologies and Assessments, 2026, 85: 104803. [19] 李得民, 吴在军, 赵波. 多微电网系统的合作博弈模型及其优化调度策略[J]. 中国电机工程学报, 2022, 42(14): 5140-5153. Li Demin, Wu Zaijun, Zhao Bo.Cooperative game model and optimal dispatch strategy of multi-microgrid system[J]. Proceedings of the CSEE, 2022, 42(14): 5140-5153. [20] 杨易达, 高红均, 刘挺坚, 等. 考虑CCER收益共享激励火电机组深度调峰的电力系统低碳调度[J]. 电力自动化设备, 2024, 44(9): 121-128. Yang Yida, Gao Hongjun, Liu Tingjian, et al.Low carbon dispatch of power system considering CCER revenue sharing incentive for deep peak-shaving of thermal power units[J]. Electric Power Automation Equipment, 2024, 44(9): 121-128. [21] 尚楠, 陈政, 冷媛. 电碳市场背景下典型环境权益产品衔接互认机制及关键技术[J]. 中国电机工程学报, 2024, 44(7): 2558-2577. Shang Nan, Chen Zheng, Leng Yuan.Mutual recognition mechanism and key technologies of typical environmental interest products in power and carbon markets[J]. Proceedings of the CSEE, 2024, 44(7): 2558-2577. [22] 生态环境部. 2019年度减排项目中国区域电网基准线排放因子[EB/OL]. (2020-12-29)[2025-09-01]. https://www.mee.gov.cn/ywgz/ydqhbh/wsqtkz/202012/t20201229_815386.shtml. [23] 李亚峰, 王维庆, 寇洋, 等. 考虑绿证-碳联合交易与需求响应综合能源系统经济运行[J]. 太阳能学报, 2023, 44(11): 538-546. Li Yafeng, Wang Weiqing, Kou Yang, et al.Considering green certificate-carbon joint trading and demand response integrated energy system economic operation[J]. Acta Energiae Solaris Sinica, 2023, 44(11): 538-546. [24] 周任军, 石亮缘, 汤吉鸿, 等. 多功率曲线协整度约束下的源-荷-储优化协整模型[J]. 中国电机工程学报, 2019, 39(12): 3454-3464. Zhou Renjun, Shi Liangyuan, Tang Jihong, et al.Source-load-storage optimization cointegration model under multi-power curve cointegration degree constraints[J]. Proceedings of the CSEE, 2019, 39(12): 3454-3464. [25] 帅轩越, 王秀丽, 吴雄, 等. 计及条件风险价值下基于合作博弈的多微网协同优化调度[J]. 电网技术, 2022, 46(1): 130-137. Shuai Xuanyue, Wang Xiuli, Wu Xiong, et al.Cooperative optimal scheduling of multi-microgrids based on cooperative game considering conditional value at risk[J]. Power System Technology, 2022, 46(1): 130-137. [26] Xu Shuqin, Xu Qi.Optimal pricing decision of tradable green certificate for renewable energy power based on carbon-electricity coupling[J]. Journal of Cleaner Production, 2023, 410: 137111.