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Prony Analysis for Power System Transient Harmonics

EURASIP Journal on Advances in Signal Processing volume 2007, Article number: 048406 (2007) Cite this article

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

  1. 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

    Article  Google Scholar 

  2. 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

    Article  Google Scholar 

  3. 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

    Article  Google Scholar 

  4. 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

    Article  Google Scholar 

  5. Arrillaga J, Smith BC, Watson NR, Wood AR: Power System Harmonic Analysis. John Wiley & Sons, New York, NY, USA; 1997.

    Book  Google Scholar 

  6. 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

    Article  Google Scholar 

  7. 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

    Google Scholar 

  8. 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

    Article  Google Scholar 

  9. 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

    Article  Google Scholar 

  10. Hildebrand FB: Introduction to Numerical Analysis. McGraw-Hill Book, New York, NY, USA; 1956.

    MATH  Google Scholar 

  11. 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

    Article  Google Scholar 

  12. Barone P: Some practical remarks on the extended Prony's method of spectrum analysis. Proceedings of the IEEE 1988,76(3):284-285.

    Article  Google Scholar 

  13. Kay SM, Marple SL Jr.: Spectrum analysis—a modern perspective. Proceedings of the IEEE 1981,69(11):1380-1419.

    Article  Google Scholar 

  14. Anderson E, Bai Z, Bischof C, et al.: LAPACK User's Guide. 3rd edition. SIAM, Philadelphia, Pa, USA; 1999.

    Book  Google Scholar 

  15. 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.

    Google Scholar 

  16. 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.

    Google Scholar 

  17. Hydro-Quebec, TransEnergie, SymPowerSystems For Use With Simulink, Online only, The Mathworks, July 2002

  18. Powersim : PSIM User's Guide Version 6.0. Powersim, Andover, Mass, USA, June 2003

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Authors and Affiliations

  1. The Center for Advanced Power Systems, Florida State University, Tallahassee, FL, 32310, USA

    Li Qi, Lewei Qian, Stephen Woodruff & David Cartes

Authors
  1. Li Qi
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  2. Lewei Qian
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  3. Stephen Woodruff
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  4. David Cartes
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Correspondence to Li Qi.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://doi.org/creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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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