中文摘要：

采用矩形窗、三角窗等基本窗函数和广义余弦窗函数对信号加权可减少非整数周期截断造成的频谱泄漏和栅栏效应的影响，但其效果受到窗函数固定旁瓣性能的制约。通过分析凯塞（Kaiser）窗函数的主瓣与旁瓣衰减可自由选择的特性，提出基于Kaiser窗插值快速傅里叶变换（fast Fouriertrans form，FFT）的电力谐波分析方法，建立奇次、偶次谐波求解的数学模型和实用的插值修正公式，推导信号基波与各次谐波频率、幅值、初相角的计算式。仿真和实测结果表明，Kaiser窗插值FFT方法设计实现灵活、抑制频谱泄漏效果好，据此研制的三相多功能谐波电能表的基波有功误差≤0．2％，基波无功误差≤1％，2—21次谐波分析满足GB／T14549—1993的A类谐波测量仪器要求。

英文摘要：

The fundamental windows such as the rectangular window and triangular window and generalized cosine windows can be used to eliminate the errors caused by spectral leakage and picket fence effect under the non-integral period truncation conditions, but effect is restricted by the performance of the fixed side lobes of these windows. The free characteristics of the major lobe and side lobes of the Kaiser window are discussed in this paper, and an approach for the harmonic analysis based on Kaiser window interpolation fast Fourier transform （FFT） is proposed. The mathematic models of odd and even harmonic solutions and the rectification formulas of the interpolation were established. The arithmetic expressions of fundamental and harmonic frequencies, amplitudes and initial phases were deduced. The simulation and test results show that the approach based on Kaiser window interpolation FFT can be designed and realized easily and restrain spectral leakage effectively. The error of fundamental active power measurement on the three-phase multi-functional harmonic energy meter based on this approach is below or equal to 0.2% and the error of fundamental reactive power measurement below or equal to 1%. Data results of the harmonic analysis meet the accuracy requirement according to GB/T 14549--1993.