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An innovative technique for power system harmonic impedance computation is presented in the paper. We present a brief introduction to harmonic impedance estimation problems as well as a detailed description of the proposed method. Frequency analysis with DFT is strongly affected by frequency leakage and picket fence errors. A number of methods was developed to reduce the impact of these phenomena including hardware solutions like PLL-based sampling synchronization, or software solutions like time- or frequency interpolation. Our work presented in the paper concerns new software-based method for reducing frequency leakage and picket fence errors and an application of this method of power system harmonic impedance estimation. The proposed method of harmonic impedance computation is based on Chirp-Z transform (CZT) instead of discrete Fourier transform (DFT). CZT enables arbitrary sampling of the frequency axis when computing spectra of discrete signals. We apply CZT to fundamental frequency estimation and for evaluating voltage and current frequency bins for higher harmonics. The spectral leakage is reduced by a standard Hanning window. The accuracy of the proposed method was verified by laboratory experiments and compared with the results of DFT-based computation. The proposed method is robust against non-synchronous sampling, thus it is dedicated for widely used data acquisition systems with a fixed sampling frequency. The proposed method is more accurate then DFT-based computations in case of voltage and current signals sampled at a fixed frequency. The advantages of the proposed method are evident for signals with off-nominal frequencies especially for higher harmonics.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
299--311
Opis fizyczny
Bibliogr. 29 poz., rys., tab., wykr.
Twórcy
autor
autor
autor
- AGH University of Science and Technology, Department of Measurement and Instrumentation, Al. Mickiewicza 30, 30-059 Kraków, Poland, kduda@agh.edu.pl
Bibliografia
- [1] A. Robert, T. Deflandre, Joint CIGRE/CIRED Working Group CC02: “A guide for assessing the network harmonic impedance”. Int. Conf. Electricity Distribution (CIRED’97), June 2-5, 1997, Paper 2.3.
- [2] O. Gonbeau, L. Berthet, J.L. Javerzac, D. Boudou: “Method to determine contribution of the customer and the power system to the harmonic disturbance”. Proc. of XVII International Conference on Electricity Distribution CIRED’2003, Barcelona, 2003.
- [3] F. Zhenyu, E. Johan: “Harmonic Impedance Analysis in the Presence of Static Var Compensator (SVC)”. Power Systems Conference and Exposition, 2006. PSCE ‘06. 2006 IEEE PES, Octo., Novemb., 2006, pp. 1485 - 1492
- [4] B. Palethorpe, M. Sumner, D.W.P. Thomas: “System impedance measurement for use with active filter control”. Power Electronics and Variable Speed Drives, 2000. Eighth International Conference on, IEE Conf. Publ., no. 475, 2000.
- [5] C. Li, W. Xu, T. Tayjasanant: “A ‘Critical Impedance’--based method for identyfying harmonic sources”. IEEE Trans. Power Delivery, 19(2), April 2004.
- [6] A. Girgis, R. McManis: “Frequency domain techniques for modeling distribution or transmission networks using capacitor switching induced transients”, IEEE Trans. Power Delivery, 4(3), July 1989.
- [7] A. Menchetti, R. Sasdelli: “Measurement Problems in Power Quality Improvement”, European Trans. on Electric Power, no. 4(5), 1994.
- [8] M. Nagpal, W. Xu, J. Sawada: “Harmonic impedance measurement using three-phase transients”. IEEE Trans. Power Delivery, 13(1), January 1998.
- [9] W. Xu, E. Ahmed, X. Zhang, X. Liu: “Measurement of network harmonic impedances: practical implementation issues and their solutions”. IEEE Trans. on Power Delivery, no. 17(1), January 2002.
- [10] Z. Staroszczyk: “A Method for Real-Time, Wide-Band Identification of the Source Impedance in Power Systems”. IEEE Trans. Instrum. Meas., vol. 54, no. 1, Feb. 2005, pp. 377 - 385.
- [11] R. Langella, A. Testa: “A New Method for Statistical Assessment of the System Harmonic Impedance and of the Background Voltage Distortion”. 9th International Conference on Probabilistic Methods Applied to Power Systems, KTH, Stockholm, Sweden - June 11-15, 2006.
- [12] D. Borkowski: Estimation of power system spectral parameters with coherent resampling. Ph.D. dissertation, Measurement Department, AGH University of Science and Technology, Kraków, Poland, 2007.
- [13] J. Arrilaga, N. R. Watson: Power system harmonics. Chichester: John Wiley & Sons, Ltd, 2003.
- [14] W. Wiechowski: “Validation techniques of network harmonic models based on switching of a series linear component and measuring resultant harmonic increments”. 9th International Conference on Electrical Power Quality and Utilisation, 2007, Barcelona, Spain.
- [15] P. Bettini, A. De Lorenzi: “400-kV-Network Harmonic Impedance Evaluation from Harmonic Distortion Measurements at RFX Site”. European Trans. on Electric Power, 8 (1), February 1998.
- [16] A. Bień, D. Borkowski, A. Wetula: “Estimation of power system parameters based on load variance observations - laboratory studies”. 9th International Conference on Electrical Power Quality and Utilisation, 2007, Barcelona, Spain.
- [17] D. Borkowski, A. Bien: “Improvement of accuracy of power system frequency analysis by coherent resampling”. Accepted to appear in IEEE Trans. Power Delivery, vol. 24, issue 2.
- [18] A. Girgis, W. H. Quaintance III, J. Qui, E.B. Makram: “A time-domain three-phase power system impedance modeling approach for harmonic filter analysis”. IEEE Trans. Power Delivery, vol. 8, no. 2, April 1993.
- [19] T. Lobos, J. Rezmer: “Wavelet transform for realtime estimation of transmission line impedance under transient conditions”. IEEE Instrumentation and Measurement Technology Conference, Brussels, Belgium, pp. 756-760, June 1996.
- [20] A. Ferrero, R. Ottoboni: “A low-cost frequency multiplier for synchronous sampling of periodic signals”. IEEE Trans. Instrum. Meas., vol. 41, no. 2, pp 203 - 207, April 1992.
- [21] H. Karimi, M. Karimi-Ghartemani, M. R. Iravani: “Estimation of frequency and its rate of change for applications in power system”. IEEE Trans. Power Delivery, vol. 19, no. 2, April 2004, pp. 472-480.
- [22] J. Borkowski: “LIDFT - The DFT Linear Interpolation Method”. IEEE Trans. Instrumentation and Measurement, no. 49(4), 2000.
- [23] M. Sedlacek, M. Titera: “Interpolations in frequency and time domains used in FFT spectrum analysis”, Measurement, no. 23, July 1999.
- [24] D. Borkowski: “Numerical aspects of power system modelling targeted at simulation study of non-invasive power system impedance measurement method”. 8th Int. Conf. on Electrical Power Quality and Utilisation, Cracow, Poland, September 2005.
- [25] Testing and Measurement Techniques-Section 7: General Guide on Harmonics and Interharmonics Measurement and Instrumentation for Power Supply Systems and Equipment Connected Thereto, Standard IEC 61000-4-7 Ed.2002.
- [26] L. R. Rabiner, R. W. Shafer, and C. M. Rader: “The chirp-z transform algorithm”. IEEE Trans. Audio Electroacoust., vol. 17, no. 2, Jun. 1969, pp. 86-92.
- [27] M. Aiello, A. Cataliotti, V. Cosentino, S. Nuccio: “Synchronization Techniques for Power Quality Instruments”. IEEE Trans. Instrum. Meas., vol. 56, no. 5, Oct. 2007, pp. 1511-1519.
- [28] M. Aiello, A. Cataliotti, S. Nuccio: “A chirp-z transform-based synchronizer for power system measurements”. IEEE Trans. Instrum. Meas., vol. 54, no. 3, Jun. 2005, pp. 1025-1032.
- [29] M. Aiello, A. Cataliotti, S. Nuccio: “An induction motor speed measurement method based on current harmonic analysis with the chirp-z transform”. IEEE Trans. Instrum. Meas., vol. 54, no. 5, Oct. 2005, pp. 1811-19.
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Bibliografia
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