连俊轩,赵平,胡海鹏,王坦,李振兴
LIAN Junxuan,ZHAO Ping,HU Haipeng,WANG Tan,Li Zhenxing

• 1:三峡大学电气与新能源学院
• 2:电力系统智能运行与安全防御宜昌市重点实验室

摘要(Abstract)：

为提升配电网的灵活性和经济性，提出一种计及灵活性提升的配电网两阶段分布鲁棒优化调度方法。基于配电网馈线结构将配电网划分为数个供电单元，建立供需平衡区间与灵活性缺额模型并定义量化指标，利用基于Hausdorff距离的灵活性缺额概率分布不确定集来描述其随机特性。构建计及灵活性提升的配电网两阶段分布鲁棒优化模型，以配电网24 h运行成本最小化为目标，综合考虑供电单元间功率交互成本和供电单元运行成本，并采用交替方向乘子法和列与约束生成算法对模型进行求解，得到最优调度策略。仿真结果表明，该方法可有效提升配电网的经济性和灵活性，为高比例光伏的配电网优化运行提供参考。
To enhance the operational flexibility and economic efficiency of distribution networks, this paper proposes a two-stage distributionally robust optimal scheduling method that explicitly accounts for flexibility enhancement. The distribution network is first partitioned into several power supply units based on its feeder topology. On this basis, a supply-demand balance interval and a flexibility deficit model are formulated, along with corresponding quantitative indices. An uncertainty set based on the Hausdorff distance is then constructed to capture the probability distribution of the flexibility deficit and characterize its stochastic nature. Subsequently, a two-stage distributionally robust optimization model is established to minimize the 24-hour total operating cost of the distribution network, comprehensively factoring in both the inter-unit power exchange costs and the internal operating costs of individual power supply units. The model is solved using a hybrid approach combining the alternating direction method of multipliers(ADMM) and the column-and-constraint generation(C&CG) algorithm to determine the optimal scheduling strategy. Simulation results demonstrate that the proposed method effectively improves both the economic efficiency and the operational flexibility of the system, providing a reference for the optimal operation of distribution networks with high penetrations of photovoltaic generation.

关键词(KeyWords)： 配电网;灵活性提升;灵活性缺额不确定性;Hausdorff距离;分布鲁棒优化
distribution network;flexibility enhancement;flexibility deficit uncertainty;Hausdorff distance;distributionally robust optimization

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金（52407118）

作者(Author): 连俊轩,赵平,胡海鹏,王坦,李振兴
LIAN Junxuan,ZHAO Ping,HU Haipeng,WANG Tan,Li Zhenxing

DOI: 10.19585/j.zjdl.202609007

参考文献(References)：

• [1]肖定垚，王承民，曾平良，等.电力系统灵活性及其评价综述[J].电网技术，2014,38(6):1569-1576.Xiao Dingyao,Wang Chengmin,Zeng Pingliang,et al. A survey on power system flexibility and its evaluations[J].Power System Technology,2014,38(6):1569-1576.
• [2]施涛，朱凌志，于若英.电力系统灵活性评价研究综述[J].电力系统保护与控制，2016,44(5):146-154.Shi Tao,Zhu Lingzhi,Yu Ruoying. Overview on power system flexibility evaluation[J].Power System Protection and Control,2016,44(5):146-154.
• [3]华昊辰，张洲赫，邹奕群，等.新型电力系统需求侧灵活性资源低碳协同优化研究综述[J].电力建设，2025,46(6):60-75.Hua Haochen,Zhang Zhouhe,Zou Yiqun,et al.Review of low-carbon co-optimization research on demand-side flexibility resources for new power systems[J].Electric Power Construction,2025,46(6):60-75.
• [4]陈郑平，李文忠，陈飞雄，等.分布式资源助力新型电力系统灵活性提升研究综述[J].电力工程技术，2025,44(2):145-159.Chen Zhengping,Li Wenzhong,Chen Feixiong,et al.Summary of research on improving the flexibility of new power systems with distributed resources[J]. Jiangsu Electrical Engineering,2025,44(2):145-159.
• [5]童宇轩，胡俊杰，刘雪涛，等.新能源电力系统灵活性供需量化及分布鲁棒优化调度[J].电力系统自动化，2023,47(15):80-90.Tong Yuxuan,Hu Junjie,Liu Xuetao,et al.Quantification of flexibility supply and demand and distributionally robust optimal dispatch of renewable energy dominated power systems[J].Automation of Electric Power Systems,2023,47(15):80-90.
• [6]张智刚，康重庆.碳中和目标下构建新型电力系统的挑战与展望[J].中国电机工程学报，2022,42(8):2806-2819.Zhang Zhigang,Kang Chongqing. Challenges and prospects for constructing the new-type power system towards a carbon neutrality future[J]. Proceedings of the CSEE,2022,42(8):2806-2819.
• [7]谢元皓，林声宏，朱建全.基于双重博弈的含多微网配电网分层协调能量管理[J].电测与仪表，2025,62(6):56-66.Xie Yuanhao,Lin Shenghong,Zhu Jianquan. Hierarchical energy management of distribution network with multimicrogrids based on double Stackelberg game[J].Electrical Measurement&Instrumentation,2025,62(6):56-66.
• [8]黄兴华，范元亮，张功林，等.含分布式光伏中低压配电网多时间尺度协同无功优化策略[J].智慧电力，2024,52(11):8-15.Huang Xinghua,Fan Yuanliang,Zhang Gonglin,et al.Multi-time scale collaborative reactive power optimization strategy for medium and low voltage distribution networks with PV[J].Smart Power,2024,52(11):8-15.
• [9]周步祥，姚先禹，臧天磊.计及电-气双向耦合的综合能源配电网优化重构[J].电测与仪表，2024,61(2):17-24.Zhou Buxiang,Yao Xianyu,Zang Tianlei. Optimization and reconfiguration of the integrated energy distribution network considering the electricity-gas two-way coupling[J].Electrical Measurement&Instrumentation,2024,61(2):17-24.
• [10]黎博，陈民铀，钟海旺，等.高比例可再生能源新型电力系统长期规划综述[J].中国电机工程学报，2023,43(2):555-581.Li Bo,Chen Minyou,Zhong Haiwang,et al.A review of long-term planning of new power systems with large share of renewable energy[J].Proceedings of the CSEE,2023,43(2):555-581.
• [11]Azarpour A,Mohammadzadeh O,Rezaei N,et al.Current status and future prospects of renewable and sustainable energy in North America:Progress and challenges[J].Energy Conversion and Management,2022,269:115945.
• [12]Yao H M,Qin W P,Jing X,et al.Possibilistic evaluation of photovoltaic hosting capacity on distribution networks under uncertain environment[J]. Applied Energy,2022,324:119681.
• [13]刘辉，杨坤，王枭枭，等.基于ADMM算法的中低压配电网多目标分布式协调优化运行策略[J].电力建设，2024,45(9):100-112.Liu Hui,Yang Kun,Wang Xiaoxiao,et al.Multi-objective distributed optimal scheduling of distribution network with high-permeability distributed photovoltaic resource access[J].Electric Power Construction,2024,45(9):100-112.
• [14]任彦辉，宋景龙，余瑞，等.考虑需求侧响应的配电网无功补偿装置协调优化[J].智慧电力，2024,52(1):79-86.Ren Yanhui,Song Jinglong,Yu Rui,et al.Coordinated optimization of reactive power compensation device in distribution network considering on demand-side response[J].Smart Power,2024,52(1):79-86.
• [15]文云峰，杨游航，邢鹏翔，等.多维因素制约下新能源消纳能力评估方法研究综述[J].中国电机工程学报，2024,44(1):127-147.Wen Yunfeng,Yang Youhang,Xing Pengxiang,et al.Review on the new energy accommodation capability evaluation methods considering multi-dimensional factors[J].Proceedings of the CSEE,2024,44(1):127-147.
• [16]Wang Z K,Ding T,Jia W H,et al.Multi-stage stochastic programming for resilient integrated electricity and natural gas distribution systems against typhoon natural disaster attacks[J]. Renewable and Sustainable Energy Reviews,2022,159:111784.
• [17]李雨佳，殷文倩，龙覃飞，等.多元不确定性环境下含海量资源电力系统的弹性提升技术[J].高电压技术，2022,48(9):3484-3496.Li Yujia,Yin Wenqian,Long Qinfei,et al.Review on resilience enhancement strategies for power systems with massive resources under multi-source uncertainties[J]. High Voltage Engineering,2022,48(9):3484-3496.
• [18]范宏，盛哲祺，张树卿.分布式灵活性资源的动态聚合调控与协同效益分配研究综述[J].浙江电力，2025,44(9):30-45.Fan Hong,Sheng Zheqi,Zhang Shuqing. Review on dynamic aggregation control and collaborative benefit allocation of distributed flexibility resources[J]. Zhejiang Electric Power,2025,44(9):30-45.
• [19]苗秋愿，邢海军.基于机会约束的风光荷储热灵活性资源优化调度[J].浙江电力，2025,44(8):54-65.Miao Qiuyuan,Xing Haijun. Optimal scheduling of WPLSH flexibility resources based on chance constraints[J].Zhejiang Electric Power,2025,44(8):54-65.
• [20]徐维炜，陈红坤，汤骏，等.计及配电网灵活性的峰谷电价分布鲁棒定价策略[J].电力自动化设备，2024,44(12):178-186.Xu Weiwei,Chen Hongkun,Tang Jun,et al.Distributionally robust pricing strategy of peak-valley electricity price considering flexibility of distribution network[J]. Electric Power Automation Equipment,2024,44(12):178-186.
• [21]王守相，陈建凯，王洪坤，等.综合考虑电动汽车充电与储能及可中断负荷调度的配电网两阶段灵活性提升优化方法[J].电力自动化设备，2020,40(11):1-8.Wang Shouxiang,Chen Jiankai,Wang Hongkun,et al.Two-stage flexibility improvement optimization method of distribution network considering EV charging and scheduling of energy storage and interruptible loads[J]. Electric Power Automation Equipment,2020,40(11):1-8.
• [22]王杰，徐立军，李笑竹，等.计及灵活性不足风险的配电网智能软开关与多类型共享储能协调优化[J].发电技术，2025,46(4):758-767.Wang Jie,Xu Lijun,Li Xiaozhu,et al.Coordinated optimization of intelligent soft open points and multiple types of shared energy storage in distribution networks considering flexibility deficiency risk[J]. Power Generation Technology,2025,46(4):758-767.
• [23]唐波，刘一龙，朱瑞金，等.考虑系统灵活性的配电网分布式电源消纳能力分析[J].电力科学与技术学报，2025,40(2):80-88.Tang Bo,Liu Yilong,Zhu Ruijin,et al.Analysis of distributed generator consumption capacity of distribution networks considering system flexibility[J].Journal of Electric Power Science and Technology,2025,40(2):80-88.
• [24]赵晶晶，朱炯达，李振坤，等.考虑灵活性供需鲁棒平衡的两阶段配电网日内分布式优化调度[J].电力系统自动化，2022,46(16):61-71.Zhao Jingjing,Zhu Jiongda,Li Zhenkun,et al.Two-stage intraday distributed optimal dispatch for distribution network considering robust balance between flexibility supply and demand[J]. Automation of Electric Power Systems,2022,46(16):61-71.