宋钰,郭玥,王旭阳,白宇,赵娟,韩嘉诚,刘洪
SONG Yu,GUO Yue,WANG Xuyang,BAI Yu,ZHAO Juan,HAN Jiacheng,LIU Hong

• 1:国网经济技术研究院有限公司
• 2:智能电网教育部重点实验室(天津大学)

摘要(Abstract)：

针对分布式光伏规模化发展及有望参与调控的新形势，提出一种兼顾运行安全性与全寿命周期低碳经济性的分布式光伏接入配电网承载力评估方法。首先，以年低碳经济收益最大为目标函数，以电网安全稳定运行为约束，建立安全经济承载力确定性评估模型；其次，针对分布式光伏出力不确定性，构建Wasserstein模糊集，建立基于分布鲁棒机会约束的不确定性承载力评估模型，并运用机会约束转化、McCormick松弛等方式对模型作线性化处理；最后，基于IEEE 33节点系统进行算例分析，结果显示，所提方法可提升承载力和低碳经济效益，为分布式光伏参与调控背景下的承载力评估工作提供参考。
In response to the large-scale development of distributed photovoltaic(DPV) and their potential participation in grid regulation, this paper proposes a hosting capacity assessment method for DPV integration in distribution networks that considers both operational security and low-carbon economy throughout the life cycle. First, a deterministic hosting capacity assessment model is established with the objective of maximizing annual low-carbon economic benefits, subject to constraints ensuring secure and stable grid operation. Second, to address the uncertainty of DPV output, a Wasserstein ambiguity set is constructed, and a distributionally robust chance-constrained uncertainty-aware hosting capacity assessment model is developed. The model is linearized using chance constraint transformation and McCormick relaxation techniques. Finally, case studies based on the IEEE 33-node system are conducted. The results demonstrate that the proposed method enhances hosting capacity and low-carbon economic benefits, providing a reference for hosting capacity assessment in the context of DPV participation in grid regulation.

关键词(KeyWords)： 分布式光伏;低碳经济承载能力;Wasserstein模糊集;分布鲁棒机会约束
DPV;low-carbon economic hosting capacity;Wasserstein ambiguity set;distributionally robust chance-constrained

Abstract:

Keywords:

基金项目(Foundation): 国家电网有限公司科技项目（5100-202356429A-3-2-ZN）

作者(Author): 宋钰,郭玥,王旭阳,白宇,赵娟,韩嘉诚,刘洪
SONG Yu,GUO Yue,WANG Xuyang,BAI Yu,ZHAO Juan,HAN Jiacheng,LIU Hong

DOI: 10.19585/j.zjdl.202511009

参考文献(References)：

• [1]国家能源局.分布式电源接入电网承载力评估导则：DL/T 2041—2019[S].北京：中国电力出版社，2019.
• [2]徐非非，冯华，覃洪培，等.计及不确定性的配电网分布式光伏承载能力区间分析方法[J].浙江电力，2023,42(11):86-95.XU Feifei,FENG Hua,QIN Hongpei,et al.An analysis method of DPV hosting capacity interval in distribution networks under uncertainties[J].Zhejiang Electric Power,2023,42(11):86-95.
• [3]王海云，于希娟，张雨璇，等.大型城市电网下分布式光伏承载力评估分析[J].太阳能学报，2023,44(6):260-264.WANG Haiyun,YU Xijuan,ZHANG Yuxuan,et al.Evaluation and analysis of distributed photovoltaic carrying capacity in large urban power grid[J]. Acta Energiae Solaris Sinica,2023,44(6):260-264.
• [4]刘子俊，张华赢，梁晓锐，等.高比例分布式光伏接入下低压配电台区最大可开放容量多阶段评估方法[J].南方电网技术，2024,18(5):135-144.LIU Zijun,ZHANG Huaying,LIANG Xiaorui,et al.Multi-stage assessment method for maximum available capacity of low-voltage distribution substations with high proportion of distributed photovoltaic integration[J].Southern Power System Technology,2024,18(5):135-144.
• [5]郭杉，张源渊，贾俊青，等.基于蒙特卡洛的配电网光伏消纳能力评估[J].浙江电力，2021,40(6):8-14.GUO Shan,ZHANG Yuanyuan,JIA Junqing,et al.Evaluation of photovoltaic consumption capacity of distribution network based on Monte Carlo method[J].Zhejiang Electric Power,2021,40(6):8-14.
• [6]葛少云，侯亭玉，吴鸣，等.柔性互联配电网分布式电源承载能力分布鲁棒优化模型[J].电力系统自动化，2023,47(13):140-148.GE Shaoyun,HOU Tingyu,WU Ming,et al.Distributionally robust optimization model of hosting capability for distributed generators in flexible interconnected distribution network[J].Automation of Electric Power Systems,2023,47(13):140-148.
• [7]王强强，姚良忠，盛万兴，等.基于机会约束规划的配电网分布式光伏承载力提升方法[J].电力系统自动化，2023,47(18):132-141.WANG Qiangqiang,YAO Liangzhong,SHENG Wanxing,et al.Enhancement method for distributed photovoltaic hosting capacity of distribution network based on chanceconstrained programming[J]. Automation of Electric Power Systems,2023,47(18):132-141.
• [8]谢明磊，罗威，曹德发，等.基于改进直流潮流的柔性互联配电网新能源承载力快速评估方法[J/OL].南方电网技术，2024:1-8.(2024-12-04).https：//kns.cnki.net/kcms/detail/44.1643. TK. 20241203.2333.004. html. XIE Minglei,LUO Wei,CAO Defa,et al. Fast evaluation method of new energy capacity of flexible interconnected distribution network based on improved DC power flow[J/OL].Southern Power System Technology,2024:1-8.(2024-12-04). https：//kns. cnki. net/kcms/detail/44.1643. TK.20241203.2333.004.html.
• [9]张宇，魏新迟，冯凯辉，等.计及分布式光伏承载力的配电网侧独立储能充放电策略[J].中国电力，2024,57(4):111-117.ZHANG Yu,WEI Xinchi,FENG Kaihui,et al.Charging and discharging strategies of independent energy storage for distribution grid side considering distributed PV carrying capacity[J].Electric Power,2024,57(4):111-117.
• [10]于昊正，赵寒杰，李科，等.计及需求响应的分布式光伏集群承载能力评估[J].电力建设，2023,44(2):122-131.YU Haozheng,ZHAO Hanjie,LI Ke,et al.Carrying capacity evaluation of distribution network for distributed photovoltaic cluster considering user-side demand response[J].Electric Power Construction,2023,44(2):122-131.
• [11]邹旻昊.分布式光伏电源准入容量计算及无功电压控制策略研究[D].长沙：长沙理工大学，2019.ZOU Minhao.Research on admittance capacity calculation of photovoltaic hosting capacity and reactive power voltage control strategy[D]. Changsha:Changsha University of Science&Technology,2019.
• [12]许翰宸，王立辉，廖宇航.面向分布式电源的改进GWOGS电网承载力提升方法[J].电气工程学报，2021,16(2):141-148.XU Hanchen,WANG Lihui,LIAO Yuhang. Method of improving power grid hosting capacity for distributed generation based on improved GWO-GS[J].Journal of Electrical Engineering,2021,16(2):141-148.
• [13] SANTOS S F,FITIWI D Z,SHAFIE-KHAH M,et al.New multistage and stochastic mathematical model for maximizing RES hosting capacity:part I:problem formulation[J].IEEE Transactions on Sustainable Energy,2016,8(1):304-319.
• [14] CHIHOTA M J,BEKKER B,GAUNT T. Astochastic analytic-probabilistic approach to distributed generation hosting capacity evaluation of active feeders[J]. International Journal of Electrical Power&Energy Systems,2022,136:107598.
• [15] MELGAR-DOMINGUEZ O D, QUIJANO D A,MANTOVANI J R S,et al.A robust multiobjective strategy for short-term distribution system upgrading to increase the distributed generation hosting capacity[J].IEEE Transactions on Power Systems,2022,37(6):4352-4364.
• [16] ZHU R J,WEI H,BAI X Q.Wasserstein metric based distributionally robust approximate framework for unit commitment[J].IEEE Transactions on Power Systems,2019,34(4):2991-3001.
• [17] YAO L,WANG X L,DUAN C,et al.Data-driven distributionally robust reserve and energy scheduling over Wasserstein balls[J].IET Generation, Transmission&Distribution,2018,12(1):178-189.
• [18]丁浩然，张博，唐巍，等.考虑源-网-荷-储协同的配电台区分布式光伏消纳能力评估[J].供用电，2023,40(3):2-8.DING Haoran,ZHANG Bo,TANG Wei,et al.Evaluation of distributed photovoltaic consumption capacity of distribution station area considering source-network-loadstorage collaboration[J].Distribution&Utilization,2023,40(3):2-8.
• [19] TONKOSKI R,LOPES L A C. Impact of active power curtailment on overvoltage prevention and energy production of PV inverters connected to low voltage residential feeders[J].Renewable Energy,2011,36(12):3566-3574.
• [20]凡鹏飞，李宝琴，侯江伟，等.配电网分布式电源经济可承载力评估[J].中国电力，2024,57(7):196-202.FAN Pengfei,LI Baoqin,HOU Jiangwei,et al.Economic capacity assessment of renewables in distribution networks[J].Electric Power,2024,57(7):196-202.
• [21]文艺林，胡泽春，宁剑，等.基于分布鲁棒机会约束的充电运营商参与调峰市场投标策略[J].电力系统自动化，2022,46(7):23-32.WEN Yilin,HU Zechun,NING Jian,et al.Bidding strategy of charging operator participating in peak regulation market based on distributionally robust chance constraint[J].Automation of Electric Power Systems,2022,46(7):23-32.
• [22] WANG C,GAO R,WEI W,et al.Risk-based distributionally robust optimal gas-power flow with Wasserstein distance[J].IEEE Transactions on Power Systems,2019,34(3):2190-2204.
• [23]丁涛，贾文皓，黄雨涵，等.基于分布鲁棒机会约束的移动氢能系统制-储-运氢协同优化[J].电力系统自动化，2023,47(23):1-11.DING Tao,JIA Wenhao,HUANG Yuhan,et al.Collaborative optimization for hydrogen generation,storage,and transportation in mobile hydrogen energy systems based on distributionally robust chance constraint[J]. Automation of Electric Power Systems,2023,47(23):1-11.
• [24] XIE W.On distributionally robust chance constrained programs with Wasserstein distance[J]. Mathematical Programming,Volume 186:115-155.
• [25] MOHAJERIN ESFAHANI P,KUHN D.Data-driven distributionally robust optimization using the Wasserstein metric:performance guarantees and tractable reformulations[J].Mathematical Programming,2018,171(1):115-166.
• [26] LI J K,XU Z Y,LIU H,et al.A Wasserstein distributionally robust planning model for renewable sources and energy storage systems under multiple uncertainties[J].IEEE Transactions on Sustainable Energy,2023,14(3):1346-1356.
• [27] LI J K,GE S Y,LIU H,et al.An electricity and carbon trading mechanism integrated with TSO-DSO-prosumer coordination[J].Applied Energy,2024,356:122328.
• [28] IEEE Guide for Electric Power Distribution Reliability Indices:IEEE Std 1366-2003[S].Institute of Electrical and Electronics Engineers[ieee],2003.