Comparative Study of Various Methods of DFT Calculation in the Wake of IEC Standard 61000-4-7

This paper discusses various methods of calculating coefficients in Fourier series. In particular, the methods recommended in IEC Standard 61000-4-7 and the methods applied in commercial power quality analyzers were investigated. The analysis was carried out for a simulated signal and based on the real voltage registered in an isolated electric power system. It consists of uncertainty evaluation and computational complexity assessment. In the latter case, a digital signal processor simulator and software developed by the author were used. Finally, suggestions for constructors of future power quality analyzers were formulated.

[1]  Michael J. Devaney,et al.  Calculation of power system harmonics via wavelet packet decomposition in real time metering , 2002, IMTC/2002. Proceedings of the 19th IEEE Instrumentation and Measurement Technology Conference (IEEE Cat. No.00CH37276).

[2]  Salvatore Nuccio,et al.  Synchronization Techniques for Power Quality Instruments , 2007, IEEE Transactions on Instrumentation and Measurement.

[3]  G. Roberts.  A computationally efficient power-of-two window for spectral analysis , 1998, 1998 IEEE Aerospace Conference Proceedings (Cat. No.98TH8339).

[4]  K. J. Runtz,et al.  A multistage DFT-FFT-CZT approach for accurate efficient analysis of sparsely distributed spectra , 2002, IEEE CCECE2002. Canadian Conference on Electrical and Computer Engineering. Conference Proceedings (Cat. No.02CH37373).

[5]  A. Cruz Serra,et al.  DSP Based Power Quality Analyzer using New Signal Processing Algorithms for Detection and Classification of Disturbances in a Single-phase Power System , 2007 .

[6]  L. Ferrigno,et al.  A Study on the Feasibility and Effectiveness of Digital Filter Approach for Power Quality Monitoring in Compliance with IEC 61000-4-7 , 2008 .

[7]  T. Tarasiuk.  Application of CZT Transform for Spectrum Analysis in Systems with Varying Frequency , 2007, 2007 4th IEEE Workshop on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications.

[8]  Tomasz Tarasiuk.  The Method Based on Original DBFs for Fast Estimation of Waveform Distortions in Ship Systems—Case Study , 2008, IEEE Transactions on Instrumentation and Measurement.

[9]  T. Tarasiuk,et al.  Hybrid Wavelet–Fourier Method for Harmonics and Harmonic Subgroups Measurement—Case Study , 2007, IEEE Transactions on Power Delivery.

[10]  Neville R. Watson,et al.  Power System Quality Assessment , 2000 .

[11]  C. Landi,et al.  DSP based Instrument for Real-Time PQ Analysis , 2007, 2007 IEEE International Symposium on Industrial Electronics.

[12]  J. Schoukens,et al.  The interpolated fast Fourier transform: a comparative study , 1991 .

[13]  A. Cruz Serra,et al.  DSP BASED POWER QUALITY ANALYZER FOR DETECTION AND CLASSIFICATION OF DISTURBANCES IN A SINGLE-PHASE POWER SYSTEM , 2007 .

[14]  Michael J. Devaney,et al.  Harmonic Analysis Via Wavelet Packet Decomposition Using Special Elliptic Half-Band Filters , 2004, IEEE Transactions on Instrumentation and Measurement.

[15]  A. Testa,et al.  On the Processing of harmonics and interharmonics: using Hanning window in standard framework , 2004, IEEE Transactions on Power Delivery.

[16]  Loi Lei Lai,et al.  Real-time frequency and harmonic evaluation using artificial neural networks , 1999 .

[17]  J.J. Tomic,et al.  A New Power System Digital Harmonic Analyzer , 2007, IEEE Transactions on Power Delivery.

[18]  Richard G. Lyons,et al.  Understanding Digital Signal Processing , 1996 .

[19]  A.K. Ziarani,et al.  A New Technique of Measurement of Nonstationary Harmonics , 2007, IEEE Transactions on Power Delivery.

[20]  Milos Sedlacek,et al.  Interpolations in frequency and time domains used in FFT spectrum analysis , 1998 .

[21]  A. N. Mortensen,et al.  A power system digital harmonic analyzer , 1988 .

[22]  L. Rabiner,et al.  The chirp z-transform algorithm , 1969 .

[23]  Andrew Bateman,et al.  The DSP Handbook: Algorithms, Applications and Design Techniques , 2002 .

[24]  Tomasz Tarasiuk.  A few remarks about assessment methods of electric power quality on ships – Present state and further development , 2009 .

[25]  Salvatore Nuccio,et al.  A Phase-Locked Loop for the Synchronization of Power Quality Instruments in the Presence of Stationary and Transient Disturbances , 2007, IEEE Transactions on Instrumentation and Measurement.

[26]  Irene Yu-Hua Gu,et al.  Signal processing of power quality disturbances , 2006 .

[27]  A. Testa,et al.  Desynchronized Processing technique for Harmonic and interharmonic analysis , 2004, IEEE Transactions on Power Delivery.