# ANALYSIS OF THE RESULTS OF THE DISCRETE FOURIER TRANSFORM IN ELECTRICAL ENGINEERING PROBLEMS

General problems of signal analysis using Fourier transform in the context of electrical engineering problems are considered. A detailed description of the relationship between the continuous Fourier transform, discrete-time Fourier transform (FFT) and discrete Fourier transform (FFT) is given. Comparison of methods of high resolution DFT in frequency. The algorithm of analysis of DPF results is given. The main tool of the analysis is the transition from discrete Fourier transform to discrete-time Fourier transform in the vicinity of the reference having the maximum amplitude, which allows to clarify the value of the frequency corresponding to the maximum amplitude. In subsequent analysis, the refined harmonic is removed from the signal. The proposed algorithm makes it possible to improve the accuracy of determining the harmonic composition of the signal, as well as to identify closely spaced harmonics that differ significantly in amplitude. The estimation of the minimum amplitude suitable for refinement is given.

**Authors:** G. D. Baranov, K. I. Matus , M. A. Vaganov, E. A. Bubnov

**Direction:** Electrical Engineering

**Keywords:** Spectral analysis, FFT, DFT, DTFT, discrete Fourier transform, spectrum leakage, current harmonics, voltage harmonics, zero padding

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