Abstract
The data sampling frequency of the signals in digital substation is generally fixed to 10 kHz. The fast Fourier transform may not be suitable for its harmonic analysis. The arithmetic Fourier transform (AFT) is more appropriate for analyzing discrete signals due to the advantages such as simpler computation, better parallelism, and no limitation on the number of sampling points. It requires nonuniform sampling points, so the uniform sampled signals should be interpolated when using AFT. The zero interpolation is the most widely used method of AFT. It produces a negative effect on the accuracy of the harmonic analysis, which cannot satisfy the requirements of the power system. This chapter proposes a new interpolation method of AFT after comparing the accuracy performance of four interpolation methods, i.e., the zero interpolation, the first-order linear interpolation, the piecewise cubic hermite interpolation, and the cubic spline interpolation. Finally, the cubic spline interpolation is selected to improve the accuracy due to its higher precision and better stability. The MATLAB simulation results show that the new interpolation can meet the requirements of power system harmonic analysis, make AFT better computational characteristics, and provide new ways for harmonic analysis.
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© 2015 Springer International Publishing Switzerland
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Wu, J., Liu, K., Le, J., Wang, L., Chen, Y. (2015). Harmonic Analyzing Based on Cubic Spline Interpolated Arithmetic Fourier Transform. In: Wang, W. (eds) Proceedings of the Second International Conference on Mechatronics and Automatic Control. Lecture Notes in Electrical Engineering, vol 334. Springer, Cham. https://doi.org/10.1007/978-3-319-13707-0_29
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DOI: https://doi.org/10.1007/978-3-319-13707-0_29
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