基于场景分区的半不变量法概率电压稳定评估Probabilistic Voltage Stability Assessment Using Scenario Partition Based Cumulant Method
周艳;赵晋泉;胡晓飞;杨铖;马世英;许鹏飞;包严;
摘要(Abstract):
针对高比例可再生能源电力系统采用半不变量法进行电压稳定负荷裕度计算中存在的由于随机变量波动范围大造成精度低的问题,提出一种基于场景分区的半不变量法负荷裕度概率评估方法。首先采用Wasserstein距离指标和轮盘赌选择算法建立可再生能源随机出力多场景概率模型,形成初始场景集;其次基于改进K-means聚类算法对初始场景集进行分区;继而采用半不变量法和Gram-Charlier级数展开法对每个分区分别计算负荷裕度的概率分布,最后应用全概率公式获得场景全集中负荷裕度的整体概率分布。该文对工程应用中场景分区数目选取策略进行探讨,并对IEEE118节点系统进行仿真分析,验证了所提方法的有效性。
关键词(KeyWords): 高比例可再生能源;电压稳定;概率评估;场景分区;半不变量;负荷裕度
基金项目(Foundation): 国家自然科学基金项目(51577049);; 国家电网公司科技项目:受端电网频率和电压动态稳定全过程辅助决策技术研究~~
作者(Author): 周艳;赵晋泉;胡晓飞;杨铖;马世英;许鹏飞;包严;
Email:
DOI: 10.13335/j.1000-3673.pst.2019.0461
参考文献(References):
- [1]Tan Y T,Kirschen D S.Impact on the power system of a large penetration of photovoltaic generation[C]//IEEE Power Engineering Society General Meeting.Tampa:IEEE,2007.
- [2]Rodrigues A B,Prada R B,Silva M D G D.Voltage stability probabilistic assessment in composite system:modeling unsolvability and controllability loss[J].IEEE Transactions on Power Systems,2010,25(3):1575-1588.
- [3]吴蓓,张焰,陈闽江.基于负荷模糊聚类的电压稳定概率评估[J].电力系统自动化,2007,31(4):23-27.Wu Bei,Zhang Yan,Chen Minjiang.Probabilistic evaluation of voltage stability based on load fuzzy clustering[J].Automation of Electric Power Systems,2007,31(4):23-27(in Chinese).
- [4]卢锦玲,何振民,魏方园,等.计及风光出力相关性的静态电压稳定概率分析[J].华北电力大学学报,2016,43(1):58-64.Lu Jinling,He Zhenmin,Wei Fangyuan,et al.Probabilistic analysis of voltage stability for power system considering correlativity of wind-solar output[J].Journal of North China Electric Power University,2016,43(1):58-64(in Chinese).
- [5]赵建伟,李禹鹏,杨增辉,等.基于拟蒙特卡罗模拟和核密度估计的概率静态电压稳定计算方法[J].电网技术,2016,40(12):3833-3839.Zhao Jianwei,Li Yupeng,Yang Zenghui,et al.Probabilistic static voltage stability calculation based on Quasi-monte Carlo and kernel density estimation[J].Power System Technology,2016,40(12):3833-3839(in Chinese).
- [6]陈刚,包严,赵晋泉,等.考虑负荷增长随机性的大电网电压稳定概率评估[J].电力系统保护与控制,2018,46(23):37-44.Chen Gang,Bao Yan,Zhao Jinquan,et al.Probabilistic voltage stability assessment of large power grid considering stochastic load growth[J].Power System Protection and Control,2018,46(23):37-44(in Chinese).
- [7]Liu Keyan,Sheng Wanxing,Hu Lijuan,et al.Simplified probabilistic voltage stability evaluation considering variable renewable distributed generation in distribution systems[J].IET Generation,Transmission&Distribution,2015,9(12):1464-1473.
- [8]周玮,彭昱,孙辉,等.一种用于含风电场电力系统电压稳定概率分析的混合方法[J].继电器,2008,36(2):26-30.Zhou Wei,Peng Yu,Sun Hui,et al.A mixed method for voltage stability probabilistic analysis of power systems containing wind energy[J].Relay,2008,36(2):26-30(in Chinese).
- [9]张成炬,蒋铁铮,马瑞.含风电场电力系统的静态电压稳定评估[J].电力系统及其自动化学报,2018,30(2):104-108.Zhang Chengju,Jiang Tiezheng,Ma Rui.Assessment on static voltage stability for power system containing wind farms[J].Proceedings of the CSU-EPSA,2018,30(2):104-108(in Chinese).
- [10]陈磊,闵勇,侯凯元.考虑风电随机性的静态电压稳定概率评估[J].中国电机工程学报,2016,36(3):674-680.Chen Lei,Min Yong,Hou Kaiyuan.Probabilistic steady-state voltage stability assessment considering stochastic wind power[J].Proceedings of the CSEE,2016,36(3):674-680(in Chinese).
- [11]Haesen E,Bastiaensen C,Driesen J,et al.A probabilistic formulation of load margins in power systems with stochastic generation[J].IEEETransactions on Power Systems,2009,24(2):951-958.
- [12]鲍海波,韦化.考虑风电的电压稳定概率评估的随机响应面法[J].中国电机工程学报,2012,32(13):77-85.Bao Haibo,Wei Hua.A stochastic response surface method for probabilistic evaluation of the voltage stability considering wind power[J].Proceedings of the CSEE,2012,32(13):77-85(in Chinese).
- [13]王敏,丁明.考虑分布式电源的静态电压稳定概率评估[J].中国电机工程学报,2010,30(25):17-22.Wang Min,Ding Ming.Probabilistic evaluation of static voltage stability taking account of distributed generation[J].Proceedings of the CSEE,2010,30(25):17-22(in Chinese).
- [14]Allan R N,Leite de S A M,Burchett R C.Evaluation methods and accuracy in probabilistic load flow solutions[J].IEEE Transactions on PAS,1981,100(5):2539-2546.
- [15]朱星阳,刘文霞,张建华.考虑大规模风电并网的电力系统随机潮流[J].中国电机工程学报,2013,33(7):77-85.Zhu Xingyang,Liu Wenxia,Zhang Jianhua.Probabilistic load flow method considering large-scale wind power integration[J].Proceedings of the CSEE,2013,33(7):77-85(in Chinese).
- [16]黄煜,徐青山,卞海红,等.基于拉丁超立方采样技术的半不变量法随机潮流计算[J].电力自动化设备,2016,36(11):112-119.Huang Yu,Xu Qingshan,Bian Haihong,et al.Cumulant method based on Latin hypercube sampling for calculating probability power flow[J].Electric Power Automation Equipment,2016,36(11):112-119(in Chinese).
- [17]连浩然,周保荣,秦鹏,等.基于场景分区的随机潮流解析算法[J].电网技术,2017,41(10):3153-3160.Lian Haoran,Zhou Baorong,Qin Peng,et al.Probabilistic power flow analytic algorithm based on scenario partition[J].Power System Technology,2017,41(10):3153-3160(in Chinese).
- [18]Hochreiter R,Pflug G C.Financial scenario generation for stochastic multi-stage decision processes as facility location problems[J].Annals of Operations Research,2007,152(1):257-272.
- [19]黎静华,韦化,莫东.含风电场最优潮流的Wait-and-See模型与最优渐近场景分析[J].中国电机工程学报,2012,32(22):15-23.Li Jinghua,Wei Hua,Mo Dong.Asymptotically optimal scenario analysis and Wait-and-See model for optimal power flow with wind power[J].Proceedings of the CSEE,2012,32(22):15-23(in Chinese).
- [20]王群,董文略,杨莉.基于Wasserstein距离和改进K-medoids聚类的风电/光伏经典场景集生成算法[J].中国电机工程学报,2015,35(11):2654-2661.Wang Qun,Dong Wenlue,Yang Li.A wind power/photovoltaic typical scenario set generation algorithm based on Wasserstein distance metric and revised K-medoids cluster[J].Proceedings of the CSEE,2015,35(11):2654-2661(in Chinese).
- [21]张晓辉,闫柯柯,卢志刚,等.基于场景概率的含风电系统多目标低碳经济调度[J].电网技术,2014,38(7):1835-1841.Zhang Xiaohui,Yan Keke,Lu Zhigang,et al.Scenario probability based multi-objective optimized low-carbon economic dispatching for power grid integrated with wind farms[J].Power System Technology,2014,38(7):1835-1841(in Chinese).
- [22]De Amorim R C,Mirkin B.Minkowski metric,feature weighting and anomalous cluster initializing in K-means clustering[J].Pattern Recognition,2012,45(3):1061-1075.
- [23]Greene S,Dobson I,Alvarado F L.Sensitivity of the loading margin to voltage collapse with respect to arbitrary parameters[J].IEEETransactions on Power Systems,1997,12(1):262-272.
- [24]Yu H,Chung C Y,Wong K P,et al.Probabilistic load flow evaluation with hybrid Latin hypercube sampling and cholesky decomposition[J].IEEE Transactions on Power Systems,2009,24(2):661-667.
- [25]Ajjarapu V,Christy C.The continuation power flow:A tool for steady state voltage stability analysis[J].IEEE Transactions on Power Systems,1992,7(1):416-423.