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考虑新能源不确定性的电气热耦合系统分布鲁棒优化调度

Distributionally Robust Optimization Scheduling of Electricity-gas-heat Coupled System Considering Uncertainties in New Energy Sources
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摘要 在高比例新能源渗透的背景下,电气热耦合系统能提升能源利用效率,降低碳排放,是助力“双碳”目标的有效途径之一。因此针对考虑新能源不确定性的电气热耦合系统分布鲁棒优化调度开展研究。首先,结合Wasserstein度量与矩信息构建复合模糊集,以剔除分布鲁棒模糊集中极端分布信息,提升调度的经济性与可靠性;其次,结合复合模糊集与联合机会约束,建立考虑碳排放约束的电气热耦合系统分布鲁棒调度模型,以充分考虑新能源不确定性的同时限制系统碳排放;然后,提出一种基于对偶定理与McCormick包络的联合机会约束与目标函数转化方法,将分布鲁棒模型转为确定性线性调度模型;最后,通过算例仿真表明,提出的分布鲁棒联合机会约束模型,能够将成本降低10.04%,并且将总碳排放量降低27.9%。 In the context of high penetration of new energy sources,the electricity-gas-heat coupled system can enhance the energy utilization efficiency and reduce carbon emissions,making it an effective approach to supporting the Dual-carbon goal.In this paper,the distributionally robust optimization scheduling of an electricity-gas-heat coupled system considering uncertainties in new energy sources is studied.First,a composite ambiguity set is constructed by combining the Wasserstein metric with the moment information to exclude the extreme distribution information in the distributionally robust ambiguity set,thereby enhancing the economic efficiency and reliability of scheduling.Second,by integrating the composite ambiguity set with the joint chance constraints,a distributionally robust scheduling model for the electricity-gas-heat coupled system with carbon emission constraints is established to fully account for uncertainties in new energy sources while limiting the carbon emissions from the system.Third,a novel method based on the duality theory and McCormick envelope is proposed for transforming the joint chance constraints and the objective function,which converts the distributionally robust model into a deterministic linear scheduling model.Finally,simulation results demonstrate that the proposed distributionally robust joint chance constraint model can reduce costs by 10.04%and total carbon emissions by 27.9%。
作者 刘升 吕闫 李理 张再驰 沙立成 LIU Sheng;LÜYan;LI Li;ZHANG Zaichi;SHA Licheng(China Electric Power Research Institute,Beijing 100192,China;Electric Power Research Institute,State Grid Beijing Electric Power Company,Beijing 100075,China;State Grid Beijing Electric Power Company,Beijing 100031,China)
出处 《电力系统及其自动化学报》 CSCD 北大核心 2024年第11期109-120,共12页 Proceedings of the CSU-EPSA
基金 国家电网公司科学技术项目(5108-202218280A-2-294-XG)。
关键词 分布鲁棒优化 机会约束 低碳经济调度 不确定性 distributionally robust optimization chance constraint low-carbon economic scheduling uncertainty
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