谐波责任统计特征计算方法
Calculation Method for the Harmonic Contribution Statistical Characteristics
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摘要: 谐波责任的研究有利于完善电力系统谐波的管理。以往的谐波责任研究侧重于探讨谐波责任的衡量指标和样本谐波责任的计算方法,并未涉及谐波责任统计特征的计算,而谐波责任统计特征是电能质量经济性评估的关键指标。该文提出了核密度估计方法以逼近概率密度函数,实现了基于重要抽样蒙特卡洛法的谐波责任抽样,构建了谐波责任统计特征与抽样谐波责任的函数关系,最终实现了谐波责任统计特征的计算。仿真算例与实测数据表明,与直接通过原始数据计算样本均值和标准差相比,抽样谐波责任的均值和标准差结果更为准确,更适合应用于电能质量的经济性评估。Abstract: The research of the harmonic contribution is helpful to improve the power system harmonic management. Previous harmonic contribution research focuses on the harmonic contribution indices and the calculation method for sample harmonic contribution, did not involve the calculation method of the harmonic contribution statistical characteristics, which is the key index of power quality economical evaluation. In the paper, kernel density estimation method was proposed to approximate probability density function firstly. Secondly, the importance sampling Monte Carlo method was adopted to realize the harmonic contribution sampling. Finally, the function relationship between the harmonic contribution statistical characteristics and the harmonic contribution samples was established to realize the statistical characteristics calculation. The simulation and the field test show that the expectation and variance results from the harmonic contribution samples are more accurate and suitable for the power quality economical evaluation, compared with the results from the original harmonic contribution data.