Probability Model of Traction Load Harmonics Based on Least Square Approximation

Shaofeng Xie
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Abstract

Mostly traction loads are AC/DC type loads. A great lot of harmonic produced by electrified locomotive (mainly including order 3, 5 and 7) is directly injected into utility. The effect of harmonic to utility must not be ignored. But traction loads have different characteristics from normal loads in power system, such as random and unbalance. So traction load harmonic also has random time-varying characteristic. The distribution characteristics of traction load harmonic are analyzed based on a great deal recorded harmonic data in this paper. Curve fitting for distribution characteristics based on least square approximation is carried out, and probability density function of traction load harmonic is obtained. The accuracy of the proposed model is verified by error analysis. The exact traction load harmonic model is helpful for studying on traction load harmonic.
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基于最小二乘逼近的牵引负荷谐波概率模型
牵引负载多为交直流型负载。电气化机车产生的大量谐波(主要包括3阶、5阶和7阶)直接注入到公用事业中。谐波对效用的影响不容忽视。但牵引负荷具有不同于电力系统正常负荷的随机性和不平衡性。因此牵引负荷谐波也具有随机时变特性。本文在大量实测谐波数据的基础上,分析了牵引负荷谐波的分布特征。基于最小二乘近似对分布特征进行曲线拟合,得到牵引负荷谐波的概率密度函数。通过误差分析验证了所提模型的准确性。准确的牵引负荷谐波模型有助于牵引负荷谐波的研究。
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