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The one-dimension frequency analysis based on DFT (Discrete FT) is sufficient in many cases in detecting power disturbances and evaluating power quality (PQ). To illustrate in a more comprehensive manner the character of the signal, time-frequency analyses are performed. The most common known time-frequency representations (TFR) are spectrogram (SPEC) and Gabor Transform (GT). However, the method has a relatively low time-frequency resolution. The other TFR: Discreet Dyadic Wavelet Transform (DDWT), Smoothed Pseudo Wigner-Ville Distribution (SPWVD) and new Gabor-Wigner Transform (GWT) are described in the paper. The main features of the transforms, on the basis of testing signals, are presented.
Czasopismo
Rocznik
Tom
Strony
383--396
Opis fizyczny
Bibliogr. 19 poz., rys., wykr.
Twórcy
autor
autor
autor
- Opole University of Technology, Sosnkowskiego 31, 45-272 Opole, Poland, m.szmajda@po.opole.pl
Bibliografia
- [1] Z. Hanzelka: “Power Quality”. Międzynarodowa Konferencja jubileuszowa z okazji 50-lecia EAIE, Kraków 7-8 Jun., 2002, pp. 65-68. (in Polish)
- [2] EN 50160: 2007: Voltage characteristics of electricity supplied by public distribution systems.
- [3] EN 61000-4-7:2007: “Electromagnetic compatibility (EMC)”. Testing and measurement techniques - General guide on harmonics and interharmonics measurements and instrumentation, for power supply systems and equipment connected thereto, part 4-7.
- [4] T.P. Zieliński: Time-Frequency and Time-Scale Representation of Nonstationary Signals. Wydawnictwa AGH, Kraków, 1994. (in Polish)
- [5] A.D. Poularikas: The Transforms and Applications Handbook. 2nd ed., CRC Press, Boca Raton, 2000.
- [6] Z. Ming, L. Kaicheng, H. Yisheng: “DSP-FPGA based real-time power quality disturbances classifier”. Metrol. Meas. Syst., vol. XVII, no. 2, 2010, pp. 205-216.
- [7] M. Wang, A.V. Mamishev: “Classification of Power Quality Events Using Optimal Time-Frequency Representations - Part 1: Theory”. IEEE Trans. Power Deliver., vol. 19, no. 3, Jul. 2004, pp. 1488-1495.
- [8] M. Wang, G.I. Rowe, A.V. Mamishev: “Classifiation of Power Quality Events Using Optimal Time-Frequency Representations - Part 2: Application”. IEEE Trans. Power Deliver., vol. 19, no. 3, Jul. 2004, pp. 1496-1503.
- [9] C.K. Chui: An introduction to wavelets. San Diego, Academic Press, 1992, pp. 49-60.
- [10] Y. Meyer: Wavelets, Algorithms and Applications. SIAM, Philadelphia, 1993.
- [11] S.G. Mallat: “A theory for multiresolution signal decomposition: the wavelet representation”. IEEE Trans. Pattern Anal., vol. II, no. 7. Jul. 1989, pp. 674-693.
- [12] A.M. Gaouda, M.M.A. Salama, M.R. Sultan, A.Y. Chikhani: “The Wavelet Representation A: Power Quality and Detection and Classification Using Wavelet-Multiresolution Signal Decomposition”. IEEE Trans. Power Deliver., vol. 14, no. 4, Oct. 1999, pp. 1469-1476.
- [13] A. Cohen, I. Daubechies, B. Jawerth, P. Vial: “Multiresolution analysis, wavelets and fast wavelet transform on an interval”. CRAS, vol. 316, Paris 1993, pp. 417-421.
- [14] M. Szmajda, K. Górecki: “DFT algorithm analysis in low-cost power quality measurement systems based on a DSP processor”. 9th International Conference Electrical Power Quality and Utilisation, Barcelona Spain, 9-11 Oct. 2007.
- [15] K. Górecki, M. Szmajda: “Adaptive digital synchronization of measuring window in low-cost DSP power quality measurement systems”. 9th International Conference Electrical Power Quality and Utilisation, Barcelona, Spain, 9-11 Oct. 2007.
- [16] L. Satish: “Short-time Fourier and wavelet transforms for fault detection in power transformers during impulse tests”. IEEE Proceedings-Science Measurement and Technology, vol. 145, no. 2, Mar. 1998, pp. 77-84.
- [17] F. Zhang, Z. Geng, W. Yuan: “The Algorithm of Interpolating Windowed FFT for Harmonic Analysis of Electric Power System”. IEEE Trans. Power Deliver., vol. 16, no. 2, Apr. 2001, pp. 160-164.
- [18] S.C. Pei, J.J. Ding: “Relations Between Gabor Transforms and Fractional Fourier Transforms and Their Applications for Signal Processing”. IEEE Trans. Signal Proces., vol. 55, no. 10, Oct. 2007, pp. 4839-4850.
- [19] S.H. Cho, G. Jang, S.H. Kwon: “Time-Frequency Analysis of Power-Quality Disturbances via the Gabor-Wigner Transform”. IEEE Trans. Power Deliver., vol. 25, no. 1, Jan. 2010, pp.494-499.
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Bibliografia
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