Abstract
A new class of windows, the even order cosα(x) window (EOCW), is proposed. The main-lobe and side-lobe behaviors of the EOCWs are studied. A EOCW-based weighted dual-point interpolated discrete Fourier transform (WDIpDFT) algorithm for calculating power system harmonic parameters under nonstationary situations is given. The EOCW has a low peak side-lobe level and a high side-lobe decaying rate. Leakage errors and harmonic interferences are thus reduced considerably by weighting samples with the EOCW. The rectification formulae of frequency, amplitude and phase of the fundamental and harmonics were obtained by using the polynomial curve fitting method. The EOCW-based WDIpDFT algorithm is free of solving high order equations, and the overall method can be easily implemented in embedded systems. The effectiveness and correctness of the proposed method were analyzed by means of computer simulations and practical experiments for multi-frequency signals with the variance of the fundamental frequency, the fluctuation of the harmonic voltage as well as with white Gaussian noise.
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