多孔算法谐波功率测量带内误差分析与消除

针对小波变换多孔算法分频带测量谐波功率时误差较大的问题,从理论上分析了测量误差的产生原因.推导的功率分频带测量误差的频域表达式揭示了误差的产生原因和构成,指出子带内泄漏误差的存在且其为主要误差.研究了谐波频率、功率因数和小波滤波器组频率特性对带内泄漏误差的影响.根据交迭窗函数构造理论,利用整系数交迭窗和小波滤波器组抗混迭技术,提出了一种抗子带内泄漏误差的多孔算法谐波功率分频带测量方法.仿真表明,抗带内泄漏算法可将谐波功率分频带测量过程的带内泄漏产生的相对误差从5×10-2减小到1.3 × 10-4,减小了两个数量级.

Analysis and elimination for leakage error in sub-bands of harmonic power measurement based on a trous algorithm

Harmonic power measurement errors produced by wavelet transform trous algorithm in sub-bands are significant.The cause of measurement errors was analyzed in theory.The error expression derived in frequency domain specified the source of power measurement errors in sub-bands and indicates the existence of leakage errors which were the dominant errors.And the impact on leakage errors in sub-bands,of harmonic frequency and power factors and wavelet filter banks spectrum,was studied.The anti-leakage wavelet tro...