一种改进的牵引供电系统同次谐波叠加计算  

An Improved Calculation of the Same Order Harmonic Superposition for the Traction Power Supply System

作　　者：李辉[1] 黄彦全[1] Li Hui;Huang Yanquan(College of Electrical Engineering,Southwest Jiaotong University,Chengdu Sichuan 610031,China)

机构地区：[1]西南交通大学电气工程学院,四川成都610031

出　　处：《电气自动化》2020年第3期7-9,82,共4页Electrical Automation

摘　　要：电气化铁道牵引负荷产生的谐波具有随机性,谐波的相角分布特性不一,国标中给出的推荐谐波叠加系数Kh往往效果欠佳。为了符合实际情况、满足计算精度,首先根据牵引变电所实测数据得到谐波电流的分布特征和概率密度,然后推导了谐波矢量叠加所需的关键量E[cos(φ1-φ2)],接着根据实测相角数据采用蒙特卡洛法结合高斯核函数得到模型函数的期望E(f),确定出谐波叠加时的范围系数E[fmin(φ)]、E[fmax(φ)],最后通过实测合成结果验证了使用方法进行谐波叠加的正确性,并与已有的方法进行比较,证明了方法的准确性。Harmonics generated by the traction load of the electrified railway are random and have different phase angle distribution characteristics.The harmonic superposition coefficient K h recommended in the national standard tends to be ineffective.In order to conform to actual situation and meet the calculation accuracy,firstly,distribution characteristics and probability density of harmonic currents were obtained according to the measured data of the traction substation.Then,the key quantity E[cos(φ1-φ2)]required for harmonic vector superposition was deduced.Next,according to the measured phase angle data,the Monte Carlo method and the Gaussian kernel function were used to obtain the expectation of the model function E(f)and to determine the range coefficient E[f min(φ)],E[f max(φ)]in the case of harmonic superposition.Finally,the synthesized result of actual measurement verified the correctness of the proposed approach used for harmonic superposition,and comparison with existing methods proved the accuracy of the proposed method.

关 键 词：电气化铁道 谐波叠加 国标叠加系数 谐波分布 蒙特卡洛抽样 

分 类 号：TM712[电气工程—电力系统及自动化]