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考虑碳排放与合作博弈的多能互补系统双层优化OA

Bi-level Multi-energy Complementary System Optimization Considering Carbon Emissions and Cooperative Games

中文摘要英文摘要

针对多能互补系统在容量配置与运行调度中难以兼顾低碳目标与多主体经济协调性的问题,提出一种融合阶梯式碳交易机制与合作博弈理论的双层优化模型.在系统架构上,将风光发电集成为清洁能源单元,火力发电作为传统能源单元,多种储能装置集成为储能单元,并采用分层控制策略,以提升系统运行效率及稳定性.上层模型以系统全生命周期等年值成本最低为目标,引入阶梯式碳交易成本,优化各设备的容量配置;下层模型以调度期内系统运行收益最大为目标,采用合作博弈方法将3个子单元构建为多主体联盟,并利用Shapley值法进行收益分配,以优化系统运行策略,采用多目标灰狼算法结合CPLEX求解器进行求解.算例结果表明,所提模型可有效降低火电配置容量与碳排成本,调度期内收益达92.47万元,风光消纳率达99.4%,验证了碳交易与合作博弈在多能互补系统优化中的协同效应.

A bi-level optimization model integrating a stepped carbon trading mechanism and cooperative game theory is proposed to address the challenge of balancing low-carbon objectives with multi-agent economic coordination in the capacity configuration and operation scheduling of multi-energy complementary systems.In terms of system architecture,wind and solar power generation are integrated into a clean energy unit,thermal power serves as a traditional energy unit,and multiple energy storage devices are consolidated into an energy storage unit.A hierarchical control strategy is adopted to enhance system operational efficiency and stability.The upper-level model aims to minimize the equivalent annual cost over the system's full life cycle by introducing a stepped carbon trading cost to optimize the capacity configuration of each device.The lower-level model seeks to maximize the system's operational revenue during the scheduling period by employing a cooperative game approach to form a multi-agent alliance among the three subsystems.The Shapley value method is used for revenue allocation to optimize system operation strategies,and the model is solved using a multi-objective grey wolf optimizer combined with the CPLEX solver.Case study results demonstrate that the proposed model effectively reduces the configured capacity of thermal power and carbon emission costs,achieving an operational revenue of 924 700 yuan during the scheduling period,and a wind and solar power accommodation rate of 99.4%.These findings validate the synergistic effects of carbon trading and cooperative game theory in optimizing multi-energy complementary systems.

丁帅;王继选;田浩

河北工程大学 水利水电学院,河北 邯郸 056038河北工程大学 水利水电学院,河北 邯郸 056038||河北省智慧水利重点实验室,河北 邯郸 056038||水资源智慧调控与综合管理省部共建协同创新中心,河北 邯郸 056038河北工程大学 水利水电学院,河北 邯郸 056038

信息技术与安全科学

碳交易合作博弈双层优化多能互补系统容量配置运行调度

carbon tradingcooperative gamebi-level optimizationmulti-energy complementary systemcapacity configurationoperation scheduling

《广东电力》 2026 (8)

64-74,11

河北省科技厅中央引导地方科技发展资金项目(246Z4509G)

10.3969/j.issn.1007-290X.2026.08.007

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