基于子空间动态系数回归的系统谐波阻抗估计方法
Estimation Method of System Harmonic Impedance Based on Sub-space Dynamic Coefficient Regression
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摘要: 系统谐波阻抗的准确估计是实现谐波责任定量划分的关键。新能源并网场景下用户侧谐波阻抗并非远大于系统侧谐波阻抗,现有估计方法精度降低甚至失效。文中提出一种基于子空间分解和动态系数回归的系统谐波阻抗估计方法。通过小波包分解将公共连接点(PCC)处谐波电压与电流的观测信号分解成多个子空间,并根据互信息值筛选出解释变量相关度最弱的子空间,以降低解释变量间相关性对回归分析的影响;考虑到网侧谐波波动会干扰PCC处谐波电压与电流间的相关性,将网侧谐波电压视作动态系数,并通过动态系数回归法求解系统谐波阻抗,以降低网侧谐波电压波动对估计结果的影响。仿真分析的结果表明,相比现有方法,所提方法拥有更好的估计精度与鲁棒性。Abstract: The accurate estimation of system harmonic impedance is critical to realize the quantitative determination of harmonic responsibility. The customer-side harmonic impedance is no longer much greater than that of the system side in the situation of new energy resources connecting to the grid, which results in accuracy decrease or ineffectiveness of existing estimation methods. This paper proposes an estimation method of system harmonic impedance based on the sub-space decomposition and the dynamic coefficient regression. The observed signals of the harmonic voltage and current at the point of common coupling(PCC) are decomposed into several sub-spaces by the wavelet packet decomposition. The sub-space with the weakest correlation between the explanatory variables is selected according to the mutual information value, which reduces the impact of the correlation between explanatory variables on the regression analysis. Considering that the system harmonic fluctuation will interfere with the correlation between the harmonic voltage and current at PCC, the system harmonic voltage is regarded as a dynamic coefficient. The system harmonic impedance is calculated by the dynamic coefficient regression method, to reduce the impact of harmonic voltage fluctuation on the estimation results. The simulation results show that the proposed method has better estimation accuracy and robustness compared with the existing methods.