一种基于最优化的标准波形提取方法

有源滤波器是治理电力系统谐波的有效装置 ,补偿性能的好坏关键取决于所采用的检测方法。本文从优化的角度出发 ,提出了单相和三相系统中标准波形的求法。单相解法的结果与傅里叶分解一致 ,得出的是基波分量。三相求法与派克变换有很密切的联系 ,求出的是三相基波正序分量。采用滑动的时间窗来求一个周期内的积分值 ,可以保证该算法的实时性 ,而且可以从补偿功率最小的角度来解释该算法的物理意义

A Method of Extracting the Standard Waveform Based on the Optimization

Active power filter is an effective equipment to suppress harmonics of the power system.The compensation performance greatly depends on the detecting method.From the point of view of optimization,this paper proposes a detecting method of standard waveform of a single phase and three phase system.The single phase detecting method is consistent with the Fourier analysis and the result is the fundamental freqency part.The three phase detecting method closely connects with the Park transform and the result is the positive sequence part of the fundamental frequency.The calculation of the integral of a period time can the moving time window which can guarantee the real time property of the method.What's more,we can illustrate the physical meaning of the fundamental frequency part of single phase and the positive sequence part of the fundamental frequency of three phase from the point of view of the minimization of the compensated power