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Prony Analysis for Power System Transient Harmonics
EURASIP Journal on Advances in Signal Processing volume 2007, Article number: 048406 (2007)
Abstract
Proliferation of nonlinear loads in power systems has increased harmonic pollution and deteriorated power quality. Not required to have prior knowledge of existing harmonics, Prony analysis detects frequencies, magnitudes, phases, and especially damping factors of exponential decaying or growing transient harmonics. In this paper, Prony analysis is implemented to supervise power system transient harmonics, or time-varying harmonics. Further, to improve power quality when transient harmonics appear, the dominant harmonics identified from Prony analysis are used as the harmonic reference for harmonic selective active filters. Simulation results of two test systems during transformer energizing and induction motor starting confirm the effectiveness of the Prony analysis in supervising and canceling power system transient harmonics.
References
Cheng P-T, Bhattacharya S, Divan D: Operations of the dominant harmonic active filter (DHAF) under realistic utility conditions. IEEE Transactions on Industry Applications 2001,37(4):1037-1044. 10.1109/28.936394
Cheng P-T, Bhattacharya S, Divan D: Control of square-wave inverters in high-power hybrid active filter systems. IEEE Transactions on Industry Applications 1998,34(3):458-472. 10.1109/28.673715
Cheng P-T, Bhattacharya S, Divan D: Line harmonics reduction in high-power systems using square-wave inverters-based dominant harmonic active filter. IEEE Transactions on Power Electronics 1999,14(2):265-272. 10.1109/63.750179
Cheng P-T, Bhattacharya S, Divan D: Experimental verification of dominant harmonic active filter for high-power applications. IEEE Transactions on Industry Applications 2000,36(2):567-577. 10.1109/28.833775
Arrillaga J, Smith BC, Watson NR, Wood AR: Power System Harmonic Analysis. John Wiley & Sons, New York, NY, USA; 1997.
Moo CS, Chang YN, Mok PP: A digital measurement scheme for time-varying transient harmonics. IEEE Transactions on Power Delivery 1995,10(2):588-594. 10.1109/61.400874
Huang SJ, Huang CL, Hsieh CT: Application of Gabor transform technique to supervise power system transient harmonics. IEE Proceedings: Generation, Transmission and Distribution 1996,143(5):461-466. 10.1049/ip-gtd:19960534
Hauer JF, Demeure CJ, Scharf LL: Initial results in Prony analysis of power system response signals. IEEE Transactions on Power Systems 1990,5(1):80-89. 10.1109/59.49090
Chaari O, Bastard P, Meunier M: Prony's method: an efficient tool for the analysis of earth fault currents in Petersen-coil-protected networks. IEEE Transactions on Power Delivery 1995,10(3):1234-1241. 10.1109/61.400901
Hildebrand FB: Introduction to Numerical Analysis. McGraw-Hill Book, New York, NY, USA; 1956.
Marple L: A new autoregressive spectrum analysis algorithm. IEEE Transactions on Acoustics, Speech, and Signal Processing 1980,28(4):441-454. 10.1109/TASSP.1980.1163429
Barone P: Some practical remarks on the extended Prony's method of spectrum analysis. Proceedings of the IEEE 1988,76(3):284-285.
Kay SM, Marple SL Jr.: Spectrum analysis—a modern perspective. Proceedings of the IEEE 1981,69(11):1380-1419.
Anderson E, Bai Z, Bischof C, et al.: LAPACK User's Guide. 3rd edition. SIAM, Philadelphia, Pa, USA; 1999.
Johnson MA, Zarafonitis IP, Calligaris M: Prony analysis and power system stability-some recent theoretical and applications research. Proceedings of IEEE Power Engineering Society General Meeting, July 2000, Seattle, Wash, USA 3: 1918–1923.
Qi L, Qian L, Cartes D, Woodruff S: Initial results in Prony analysis for harmonic selective active filters. Proceedings of IEEE Power Engineering Society General Meeting, June 2006, Montreal, Canada 6.
Hydro-Quebec, TransEnergie, SymPowerSystems For Use With Simulink, Online only, The Mathworks, July 2002
Powersim : PSIM User's Guide Version 6.0. Powersim, Andover, Mass, USA, June 2003
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Qi, L., Qian, L., Woodruff, S. et al. Prony Analysis for Power System Transient Harmonics. EURASIP J. Adv. Signal Process. 2007, 048406 (2007). https://doi.org/10.1155/2007/48406
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DOI: https://doi.org/10.1155/2007/48406