一种用于电力系统谐波与间谐波分析的超分辨率算法

文中总结了经典DFT方法的缺陷,将现代谱估计理论引入电力系统谐波、间谐波分析领域,详细讨论了基于子空间分解的Min-Norm算法原理,针对其估计性能受噪声影响大的缺点,提出了基于互相关的互谱Min-Norm算法,利用白噪声序列的独立性及互相关运算有效地抑制了噪声对算法的影响,并将其用于电力系统谐波、间谐波分析。仿真结果表明该算法不仅具有超分辨率特性,而且可在低信噪比环境中获得高分辨率、高精度、高稳定性的谐波、间谐波分析结果,具有经典DFT方法无可比拟的优越性,可推广应用于电力系统谐波、间谐波测量领域。

A Super-resolution Algorithm for Harmonic and Inter-harmonic Analysis in Power System

The drawbacks of the classic DFT method is concluded,the modern spectrum estimation theory is introduced to the harmonic and inter-harmonic analysis in the power system,the principle of the subspace-based Min-Norm algorithm is discussed,and a modified Min-Norm algorithm based on cross-spectral estimation is proposed utilizing cross-correlation to reduce the influence of the noises.The simulation results show that the modified algorithm not only have super-resolution ability,but also can achieve high frequency resolution,high precision and high stability in low SNR conditions.It is much more superior to the classic DFT method,and can be used in the actual harmonic and inter-harmonic measurement in the power system.