Iterative Two-Point Interpolated DFT Algorithm for Accurate Frequency Estimation

• Published in: IEEE transactions on power delivery Vol. 37; no. 3; pp. 1671 - 1681
• Main Authors: Wang, Kai, Wen, He, Li, Guoqing, Wang, Lanlan
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.06.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Discrete Fourier transforms; Electric potential; Estimation; Fourier transforms; Frequency estimation; Iteration IpDFT; Iterative algorithms; Power harmonic filters; rectangular window; Sine waves; spectral leakage; Time-domain analysis; Time-frequency analysis; Unbalance; Voltage
• ISSN: 0885-8977; 1937-4208
• DOI: 10.1109/TPWRD.2021.3095526

The literature on the subject of frequency estimation algorithms has discussed the use of interpolated discrete Fourier transform (IpDFT) for the unbalanced/balanced three-phase voltage signal in a power system. It is diffcult to estimate frequency of the unbalanced signal with high accuracy since the unknown parameters of the unbalanced signal make the spectrum different from the real-valued sinusoid signal. Moreover, the spectral leakage of the spectrum of the unbalanced signal also brings large estimation errors when the acquired signal cycles become very small. In this paper, we propose a two-point iterative IpDFT algorithm for frequency estimation of the unbalanced/balanced three-phase voltage signal. We decompose the unbalanced signal into a real-valued sinusoid signal, and then search the system frequency iteratively with the minimum error by a bisection method. Both long- and short- range leakages are compensated to estimate the frequency accurately. Simulation results prove the effectiveness of our method, compared with other iterative/noniterative IpDFT methods.