考虑多重不确定性因素的分布式电源鲁棒规划方法研究
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摘要
随着不确定性的分布式电源大量接入配电网,配电网中日益增加的多重不确定性因素给其规划带来了新的挑战。面向配电网分布式电源的选址定容问题,考虑了负荷和风速的不确定性以及它们之间的相关性,提出了考虑多重不确定性因素的配电网鲁棒规划方法。首先基于全寿命周期成本和鲁棒优化的思想,构建考虑多重不确定性因素的双层鲁棒规划模型;然后对下层鲁棒优化模型进行对偶变换,通过最坏场景对上层规划方案进行安全约束校验;最后利用拉丁超立方采样和Cholesky分解对风速和负荷的不确定性相关性进行处理,从而寻求多重不确定性因素下的最坏场景。
With a large number of uncertain distributed generation connected to distribution networks,increasing multiple uncertainties in distribution networks bring new challenges to its planning.Considering the uncertainty of load and wind speed and their correlation,a robust planning method is proposed considering multiple uncertainties for distribution network.Firstly,a two-layer robust planning model considering multiple uncertainties is constructed based on life cycle cost and robust optimization.Then the underlying robust optimization model is dually transformed and the upper planning scheme is verified with the worst scenario.Finally,Latin Hypercube Sampling and Cholesky factorization are used to deal with the correlation of uncertainties between wind speed and load to seek the worst scenario under multiple uncertainties.
With a large number of uncertain distributed generation connected to distribution networks,increasing multiple uncertainties in distribution networks bring new challenges to its planning.Considering the uncertainty of load and wind speed and their correlation,a robust planning method is proposed considering multiple uncertainties for distribution network.Firstly,a two-layer robust planning model considering multiple uncertainties is constructed based on life cycle cost and robust optimization.Then the underlying robust optimization model is dually transformed and the upper planning scheme is verified with the worst scenario.Finally,Latin Hypercube Sampling and Cholesky factorization are used to deal with the correlation of uncertainties between wind speed and load to seek the worst scenario under multiple uncertainties.
引文
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[2]胡源,别朝红,宁光涛,等.计及风电不确定性的多目标电网规划期望值模型与算法[J].电工技术学报,2016,31(10):168-175.HU Yuan,BIE Chaohong,NING Guangtao,et al.The expected model and algorithm of multi-objective transmission network planning considering the uncertainty of wind power[J].Transactions of China Electrotechnical Society,2016,31(10):168-175.
[3]温俊强,曾博,张建华.配电网中分布式风电可调鲁棒优化规划[J].电网技术,2016,40(1):227-233.WEN Junqiang,ZENG Bo,ZHANG Jianhua.Adjustable robust optimization for distributed wind power planning in distribution network[J].Power System Technology,2016,40(1):227-233.
[4]刘健,杨文宇,余健明,等.基于改进最小生成树算法并考虑负荷不确定性的配电网架最优规划[J].电网技术,2005,29(16):61-65.LIU Jian,YANG Wenyu,YU Jianming,et al.Optimal distribution network planning based on improved minimal cost spanning tree algorithm and considering indeterminacy of power loads[J].Power System Technology,2005,29(16):61-65.
[5]陶志东,顾浩,张家海,等.考虑不确定性的分布式风电源规划[J].陕西电力,2017,45(4):10-15.TAO Zhidong,GU Hao,ZHANG Jiahai,et al.Planning of distributed wind generation considering uncertainty[J].Shaanxi Electric Power,2017,45(4):10-15.
[6]邢洁,武鹏,顾辰方,等.电动汽车充电站接入配电网的规划研究[J].供用电,2017,34(12):35+43-47.XING Jie,WU Peng.,GU Chenfang,et al.Planning research of electric vehicle charging stations in distribution network[J].Distribution&Utilization,2017,34(12):35+43-47.
[7]蒋煜,丁晓群,郑程拓,等.含电动汽车的主动配电网分布式电源规划[J].广东电力,2017,30(7):1-6.JIANG Yu,DING Xiaoqun,ZHENG Chengtuo,et al.Distributed generation planning for active distribution network with electric vehicle[J].Guangdong Electric Power,2017,30(7):1-6.
[8]杨毅,韦钢,周冰,等.含分布式电源的配电网模糊优化规划[J].电力系统自动化,2010,34(13):19-23.YANG Yi,WEI Gang,ZHOU Bing,et al.Optimized fuzzy planning of the distribution network including distributed generation[J].Automation of Electric Power Systems,2010,34(13):19-23.
[9]张沈习,李珂,程浩忠,等.考虑相关性的间歇性分布式电源选址定容规划[J].电力系统自动化,2015,39(8):53-58+140.ZHANG Shenxi,LI Ke,CHENG Haozhong,et al.Optimal siting and sizing of intermittent distributed generator considering correlation[J].Automation of Electric Power Systems,2015,39(8):53-58+140.
[10]李珂,邰能灵,张沈习,等.考虑相关性的分布式电源多目标规划方法[J].电力系统自动化,2017,41(9):51-57+199.LI Ke,TAI Nengling,ZHANG Shenxi,et al.Multiobjective planning method of distributed generatorsconsidering correlations[J].Automation of Power System,2017,41(9):51-57+199.
[11]颜炯,万涛,李浩松,等.计及不确定性因素的配电网网架规划方法[J].电力系统保护与控制,2017,45(18):76-81.YAN Jiong,WAN Tao,LI Haosong,et al.Distribution network planning considering the uncertainties[J].Power System Protection and Control,2017,45(18):76-81.
[12]张光亚,赵莉莉,边小军,等.考虑供需互动和分布式电源运行特性的主动配电网网架规划[J].智慧电力,2018,46(6):87-93.ZHANG Guangya,ZHAO Lili,BIAN Xiaojun,et al.Framework planning of active distribution network considering supply and demand interaction and DG operation characteristics[J].Smart Power,2018,46(6):87-93.
[13]马丽叶,王玉翠,王楚通.主动配电网中计及网络重构的分布式电源鲁棒规划[J].电力系统自动化,2018,42(11):94-101.MA Liye,WANG Yucui,WANG Chutong.Robust planning of distributed generators in active distribution network considering network reconfiguration[J].Power System Automation,2008,42(11):94-101.
[14]WU Z,ZENG P,ZHANG X P,et al.A solution to the chance-constrained two-stage stochastic program for unit commitment with wind energy integration[J].IEEE Transactions on Power Systems,2016,31(6):4185-4196.
[15]JABR R A.Robust transmission network expansion planning with uncertain renewable generation and loads[J].IEEE Transactions on Power Systems,2013,28(4):4558-4567.
[16]于晗,钟志勇,黄杰波,等.采用拉丁超立方采样的电力系统概率潮流计算方法[J].电力系统自动化,2009,33(21):32-35+81.YU Han,ZHONG Zhiyong,HUANG Jiebo,et al.A probabilistic load flow calculation method with latin hypercube sampling[J].Automation of Electric Power Systems,2009,33(21):32-35+81.
[17]SHU Z,JIRUTITIJAROEN P.Latin hypercube sampling techniques for power systems reliability analysis with renewable energy sources[J].IEEE Transactions on Power Systems,201 1,26(4):2066-2073.