基于求根多重信号分类和遗传算法的谐波间谐波频谱估计

Harmonic and Interharmonic Spectrum Estimation Based on Root-MUSIC and GA

为了改善电能质量,需要准确估计电网电压或电流的谐波、间谐波频谱。将空域处理技术的空间谱估计方法应用到电网信号的谐波、间谐波频谱估计。使用求根多重信号分类方法估计电压或电流的不同频率成分数及各成分的频率,各成分的幅值和相角估计由遗传算法完成。首先介绍频谱估计使用空间谱估计的理论依据,然后详尽地说明了求根多重信号分类方法和遗传算法的原理及算法流程。仿真结果和与其他方法的比较证明此方法在数据长度有限和噪声干扰时可以准确估计谐波、间谐波的频谱。

In order to improve power quality, it is necessary to estimate accurately harmonic and interharmonic spectrum of voltage or current of electric power system. Spatial spectrum estimation of spatial signal processing technique was applied to estimate harmonic and interharmonic spectrum of the signal of electric power system. The number of sinusoidal components of the voltage or current and their frequencies are obtained by using root multiple signal classification （Root-MUSIC）, and their amplitudes and phase angles estimation is completed by gene algorithm （GA）. Firstly, the theoretical foundation of using spatial spectrum estimation is introduced, and then the principles and algorithms of Root-MUSIC and GA are detailed. The simulation results and comparison with other methods prove that this method can achieve accurate spectrum estimation of harmonic and interharmonic when suffering from short-length data and noise interference.