2011•Power System Protection and ControlOpen access

An interpolated FFT algorithm based on the Nuttall(I)window

Zhigang Chu

Abstract

The Blackman-harris window interpolated FFT algorithms has high calculation precision. But its correction formula for frequency and complex amplitude is too complicated with large amount of computation. So its application is limited. An interpolated FFT algorithm based on the Nuttall(Ⅰ)window is proposed. This paper discusses the frequency response of the Nuttall(Ⅰ)window and derives the formulas of interpolated FFT algorithm based on the Nuttall(Ⅰ)window in detail. The correction formula for frequency is simple and easy to get. The cubic spline function is used to calculate the correction factor of complex amplitude. Simulation results show that the proposed interpolated FFT algorithm can effectively enhance the measuring accuracy of power systems harmonics in the tenth sampling period. It has a good real-time performance with less calculation compared with other interpolated FFT algorithm based on four-item cosine windows.

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Available abstract

Key concepts: Fast Fourier transform, Computation, Algorithm, Harmonics, Split-radix FFT algorithm, Trigonometric functions, Window function, Window (computing)