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计及惯量和风电双重不确定性的两阶段分布鲁棒机组组合OA

Two-Stage Distributionally Robust Unit Commitment Considering Dual Uncertainties of Inertia and Wind Power

中文摘要英文摘要

[目的]针对高比例新能源渗透率下电网惯量来源多元化和不确定性所导致的系统频率响应能力不足,提出一种在机组组合中考虑惯量来源多元化以及惯量和风电不确定性的方法.[方法]首先,综合调度部门所掌控的同步发电机组惯量、不被调度部门掌控的小型同步发电机组惯量、虚拟惯量和负荷侧惯量,建立惯量不确定性模型.其次,采用基于数据驱动的两阶段分布鲁棒优化模型刻画惯量和风电的双重不确定性,并用1-范数及∞-范数约束不确定性概率分布置信集合,同时在第二阶段模型中考虑动态频率约束.最后,将模型中含有绝对值的部分线性化,采用列与约束生成算法对两阶段模型求解.[结果]相较于仅考虑大型同步发电机惯量的机组组合模型,所提模型具有更充足的频率响应能力,且发电总成本降低了3.3%.[结论]与其他不确定性方法相比,所构建的模型有更好的经济性,相较于随机优化模型有更强的鲁棒性,有效平衡了电力系统经济性与鲁棒性之间的关系,从而确保系统在可再生能源高渗透场景下具备动态适应能力.

[Objective]To address the insufficient system frequency response capability caused by the diversification and uncertainty of grid inertia under high renewable energy penetration,this paper proposes a method for unit commitment that considers diverse inertia sources as well as the uncertainties associated with inertia and wind power.[Methods]First,an inertia uncertainty model is established by integrating various inertia sources,including synchronous generator inertia controlled by the dispatch center,inertia from small-scale synchronous generators not directly controlled by the dispatch center,virtual inertia,and demand-side inertia.Second,a data-driven two-stage distributionally robust optimization(DRO)model is formulated to characterize the dual uncertainties of inertia and wind power.The 1-norm and ∞-norm are utilized to constrain the confidence set of uncertain probability distributions.Meanwhile,dynamic frequency constraints are incorporated into the second-stage model.Finally,the absolute value terms within the model are linearized,and the Column-and-Constraint Generation(C&CG)algorithm is employed to solve the two-stage model.[Results]Compared with the unit commitment model considering only the inertia of large synchronous generators,the proposed two-stage DRO model,which accounts for the dual uncertainties of inertia and wind power,demonstrates superior frequency response capability and reduces the total generation cost by 3.3%.[Conclusions]Compared with other uncertainty-handling methods,the constructed model achieves better economic efficiency than robust optimization models and enhanced robustness compared to stochastic optimization models.It effectively balances the relationship between economic efficiency and robustness,thereby ensuring the power system′s dynamic adaptability under high renewable energy penetration scenarios.

张磊;宋坤泽;叶婧;林宇琦;高任飞

三峡大学电气与新能源学院,湖北省 宜昌市 443002||新能源微电网湖北省协同创新中心(三峡大学),湖北省 宜昌市 443002三峡大学电气与新能源学院,湖北省 宜昌市 443002||新能源微电网湖北省协同创新中心(三峡大学),湖北省 宜昌市 443002三峡大学电气与新能源学院,湖北省 宜昌市 443002||新能源微电网湖北省协同创新中心(三峡大学),湖北省 宜昌市 443002国网湖北省电力有限公司鄂州供电公司,湖北省 鄂州市 436000三峡大学电气与新能源学院,湖北省 宜昌市 443002||新能源微电网湖北省协同创新中心(三峡大学),湖北省 宜昌市 443002

信息技术与安全科学

系统惯量不确定性动态频率约束机组组合分布鲁棒优化

system inertiauncertaintydynamic frequency constraintunit combinationdistributionally robust optimization

《电力建设》 2026 (2)

147-160,14

国家自然科学基金重点项目(62233006) This work is supported by National Natural Science Foundation of China Key Project(No.62233006).

10.12204/j.issn.1000-7229.2026.02.012

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