中文摘要：

母线谐波电流是各馈线谐波电流的矢量和。由于各馈线谐波电流占比并不平均,可能出现母线谐波监测正常但实际上个别馈线谐波含量已经超标的情况。为此,提出一种馈线谐波概率评估方法,对馈线谐波状况进行快速评估。基于最大熵原理,推导了馈线谐波电流分配系数的联合概率密度函数,建立了反映下级各馈线谐波电流均未超标的数学模型,求解并绘制了至少存在一条馈线谐波电流超标的概率的曲线图。与拟Mente-Carlo积分比较及实例分析的结果表明了该方法的有效性。

英文摘要：

Bus harmonic current is the vector sum of harmonic currents in feeders. Since the harmonic current in each feeder possesses unequal proportion of the bus harmonic current, so it may occur that the harmonic current content in individual feeder is out of the range although the monitored bus harmonic current is still within its normal range. For this reason, a probabilistic method to assess the harmonics in feeders is proposed to rapidly assess harmonic conditions of feeders. Based on the maximum entropy principle, the joint probability density function of feeder harmonic current distribution coefficient is deduced and a mathematical model, which can reflect that all harmonic currents in feeders are within the specified limit, is established and solved, and a probabilistic curve is plotted to represent that there is at least a feeder, in which the harmonic current exceeds the limit. The results of the proposed method is compared with the results obtained by quail-Monte Carlo integration and the results from case study, comparison results show that the proposed method is effective.