2021
DOI: 10.3390/app11157007
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Fast 10-Point DFT Algorithm for Power System Harmonic Analysis

Abstract: This article presents an efficient algorithm for computing a 10-point DFT. The proposed algorithm reduces the number of multiplications at the cost of a slight increase in the number of additions in comparison with the known algorithms. Using a 10-point DFT for harmonic power system analysis can improve accuracy and reduce errors caused by spectral leakage. This paper compares the computational complexity for an L×10M-point DFT with a 2M-point DFT.

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(1 citation statement)
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“…The steady-state harmonics include steady-state integer harmonics and inter-harmonics, while the transient harmonics mainly include short-time harmonics and time-varying harmonics. For different applications, domestic and foreign scholars have conducted in-depth research and proposed different harmonic detection methods [3], mainly including instantaneous reactive power theory [4], the 𝑖 𝑝 -𝑖 𝑞 algorithm [5], Fourier transform [6], wavelet transform [7], S-transform [8] and Hilbert-Huang transform (HHT) [9]. The instantaneous reactive power theory and the 𝑖 𝑝 -𝑖 𝑞 algorithm have a small amount of calculation and good real-time performance.…”
Section: Introductionmentioning
confidence: 99%
“…The steady-state harmonics include steady-state integer harmonics and inter-harmonics, while the transient harmonics mainly include short-time harmonics and time-varying harmonics. For different applications, domestic and foreign scholars have conducted in-depth research and proposed different harmonic detection methods [3], mainly including instantaneous reactive power theory [4], the 𝑖 𝑝 -𝑖 𝑞 algorithm [5], Fourier transform [6], wavelet transform [7], S-transform [8] and Hilbert-Huang transform (HHT) [9]. The instantaneous reactive power theory and the 𝑖 𝑝 -𝑖 𝑞 algorithm have a small amount of calculation and good real-time performance.…”
Section: Introductionmentioning
confidence: 99%