A statistical forecasting method based on the measured data is proposed to evaluate the influence of a new electrified railway on the power quality of power grid. Through analysis of statistical distribution characteristics of a large number of traction load test data, parameters such as the charged effective coefficient, maximum value, variance, and skewness coefficient are selected to describe the main characteristics of the traction load in probability distribution. Using the fuzzy C-means clustering algorithm, 42 groups of measured data are divided into 10 types. Based on the characteristic values of traction load provided by railway design departments, the probability model of the new electrified railway can be derived from the above 10 types, and its probability distribution function (PDF) is accordingly obtained. Finally, the feeder currents in traction substation of the new electrified railway are predicted by Monte Carlo sampling method. The validity of the method is verified by the fitting curves of PDF using the predicted data and the mean square error of PDF is less than 0.1.
YE Zhongming, EDWARD L, YUEN K H, et al. Probabilistic characterization of current harmonics of electrical traction power supply system by analytic method[C]//The 25th Annual Conference of the IEEE. San Jose:[s. n.], 1999:360-366.
[4]
CHANG G W, CHANG G W, WANG H L, et al. Probabilistic approach for passive harmonic filter planning in a power system[C]//in Power System Technology, PowerCon 2006. Chongqing:[s. n.], 2006:1-5.
[5]
万庆祝,吴命利,陈建业,等. 基于牵引计算的牵引变电所馈线电流仿真计算[J]. 电工技术学报,2007,22(6):108-113. WAN Qingzhu, WU Mingli, CHEN Jianye, et al. Simulating calculation of traction substation's feeder current based on traction calculation[J]. Transactions of China Electrotechnical Socity, 2007, 22(6):108-113.
ANG A H S, TANG W H. 工程规划与设计中的概率概念[M]. 孙芳垂,译. 北京:冶炼工业出版社,1991:251-286.
[14]
李春喜,姜丽娜,绍云. 现代数据分析[M]. 北京:科学出版社,2008:33-46.
[15]
吴诚鸥,秦伟良. 近代实用多元统计分析[M]. 北京:气象出版社,2007:66-76.
[16]
金光炎. 工程数据统计分析[M]. 南京:东南大学出版社,2002:23-36.
[17]
王学民. 多元统计分析[M]. 上海:上海财经大学出版社,2009:45-46.
[18]
何晓群. 应用多元统计分析[M]. 北京:中国统计出版社,2010:40-43.
[19]
张丽艳,李群湛,解绍锋. 牵引变电所馈线电流的概率模型[J]. 西南交通大学学报,2009,42(6):848-854.ZHANG liyan, lI qunzhan, XIE Shaofeng. Probability distribution of feeder current of traction substation[J]. Journal of Southwest Jiaotong University, 2009, 42(6):848-854.
[20]
YUEN K H, YE Z M, PONG M H, et al. Modeling of traction harmonic current using statistical method[C]//PEDS '99.[S. l.]:IEEE, 1999:194-199.
[21]
解绍锋,李群湛,赵丽平. 电气化铁道牵引负载谐波分布特征与概率模型研究[J]. 中国电机工程学报,2005,25(16):79-83.XIE Shaofeng, LI Qunzhan, ZHAO Liping. Study on harmonic distribution characteristic and probability model of the traction load of electrified railway[J]. Proceedings of the CSEE, 2005, 25(16):79-83.
[22]
杨少兵,吴命利. 电气化铁道牵引变电所负荷概率模型[J]. 电力系统自动化,2010,34(24):40-45.YANG Shaobing, WU Mingli.A load probability model for electrified railway traction substations[J]. Automation of Electric Power Systems, 2010, 34(24):40-45.
[23]
杨少兵,吴命利. 电气化铁道牵引馈线负荷概率模型[J]. 铁道学报,2011,33(5):38-42.YANG Shaobing, WU Mingli. Load probability model of traction feeder for electrified railway[J]. Journal of the China Railway Society, 2011, 33(5):38-42.