一种新的谐波检测算法及其对比研究

摘要

This paper proved that the instantaneous reactive power theory is essentially an orthogonal transformation and inverse transform in a 3-dimensional time-variant vector space by detailed mathematical deduction.With different orthogonal vectors,the theory can detect active or reactive current of any order and any sequence.Compared with traditional FFT algorithm,they are consistent in mathematical essence.The difference between the low-pass filter and the integrator results in their different real-time performance.Finally an improved FFT algorithm with low-pass filter is proposed in the paper.%本文通过详细的数学推导证明了瞬时无功功率理论的数学本质是三维时变向量空间中的正交变换和反变换,在不同正交向量坐标基下,可以检测任意次、任意序的有功或无功电流。通过与传统FFT算法相比,证明二者在数学本质上是一致的,低通滤波器和积分器是二者实时性能差异的根源。据此文中提出了一种采用LPF的FFT改进算法用于谐波提取。