基于改进Hanning窗函数电力系统间谐波检测高精度简明算法

The Concise and High Precision Algorithm of Power System Inter-harmonic Detection Based on Improved Hanning Window

电力信号谐波、间谐波检测时,由于频谱泄露和栅栏效应,需要进行加窗函数和插值计算。针对简单窗函数抑制频谱泄露能力差、复杂窗函数的插值公式无法导出等问题,提出改进Hanning窗函数插值算法。首先,分析加窗插值算法基本原理及问题。其次,根据Hanning窗函数的数学特性,构造新的窗函数,利用该窗函数构造插值算法。根据数学关系,得出改进Hanning窗函数插值计算公式。通过归纳总结,得出通用改进Hanning窗函数插值方案。最后通过算例分析,验证了本算法的可行性及优越性。

Due to spectrum leakage and fence effect,windowing function and interpolation calculation are necessary in detection of harmonic and inter-harmonic of power signal.In light of the poor ability to suppress spectrum leakage of the simple window function and the incapability of complex window function to derive interpolation formula,an improved Hanning window interpolation algorithm was proposed in this paper.On the basis of the analyzing the basic principle and problems of windowed interpolation algorithm first and then according to the mathematical characteristics of Hanning window function,a new window function was constructed,and the interpolation algorithm was constructed by using this window function.Consequently,the improved Hanning window interpolation formula was obtained according to the mathematical relationship and then the general improved Hanning window interpolation scheme was proposed through summarization.Finally,the feasibility and superiority of this method were verified by an example.