基于Prony算法的谐波和间谐波频谱估计

Spectrum Estimation of Harmonics and Interharmonics Based on Prony Algorithm

电力系统中,准确有效的确定信号中的各次谐波分量及间谐波信号,对于改善电能质量有着重要意义。在分析间谐波特性基础上,提出了一种基于Prony算法的信号分解法。该方法将指数变换的时频特性与谐波信号特性描述相结合,可以提供各种分量的特征指标,如频率、幅值、相位等,并利用最小二乘法得到高精度的拟合。经过电弧炉模拟系统试验证明,Prony算法在谐波和间谐波信号分析中,可提供有效、准确的分析结果。

In power system, it is especially important for power quality to identify all modes of harmonics and interharmonics. A signal decomposition algorithm based on the Prony method is presented on the basis of interharmonic characteristics combining the exponential transform in time-frequency domain with the description of transient signal characteristic. The Prony analysis method can estimate all kinds of components characteristic, such as frequency, phase and magnitude, and produce high-accuracy fitting by least-square method. The experiment results of the arc furnace system prove that the Prony method can provide effective and accurate results in the analysis of harmonics and interharmonics.