基于复数域偏最小二乘法与等值法的多谐波源责任划分

基于线性回归的谐波阻抗估算方法是常用的谐波阻抗估算方法之一。为确保谐波阻抗估算结果实部与虚部良好的相关性,基于混合建模思想,通过构建复数域偏最小二乘法的准则函数,给出了单因变量复数域偏最小二乘法的严格数学推导及简化求解过程。针对公共连接点处多谐波源情形,基于实测录波数据,通过分析各馈线电流波动量之间的关系,构建了用于筛选关注谐波源谐波电压和电流线性良好数据的指标因子;进而利用复数域偏最小二乘法估算相应的等值谐波阻抗;最终根据所提等值法实现各谐波源责任的定量划分。通过仿真及实测算例验证,体现了所提方法的可行性及有效性。

Responsibility Distinction for Multiple Harmonic Sources Based on Partial Least Square in Complex Field and Equivalent Method

The estimation of the harmonic impedance based on linear regression is one of the commonly used estimation methods. In order to ensure the correlation between real part and imaginary part of the harmonic impedance estimation, the strict mathematical derivation and simplified solution procedure of the single dependent variable complex domain partial least square method is presented. In view of the responsibility distinction for multiple harmonic sources at the public connection point, based on the actual recorded data, by analyzing the relationship between the current fluctuation of each feeder line, the index factor has been obtained, which is used to get the dominant fluctuation filtering to screen the data between voltage and current with good linearity. Then the harmonic impedance of the equivalent system is estimated by the partial least squares regression in the complex field. Finally, the quantitative responsibility distinction of each harmonic source is realized by virtue of the equivalent method proposed, its feasibility and effectiveness are verified by simulation and experimental results. This work is supported by Technology Research and Development Program of China Railway Coperation(No. 2015J005-A).