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  • Research Article
  • Open Access

Prony Analysis for Power System Transient Harmonics

EURASIP Journal on Advances in Signal Processing20072007:048406

  • Received: 9 August 2006
  • Accepted: 18 December 2006
  • Published:


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.


  • Information Technology
  • Prior Knowledge
  • Power System
  • Quantum Information
  • Induction Motor

Authors’ Affiliations

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


  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. 10.1109/28.936394View ArticleGoogle 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. 10.1109/28.673715View ArticleGoogle 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. 10.1109/63.750179View ArticleGoogle 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. 10.1109/28.833775View ArticleGoogle Scholar
  5. Arrillaga J, Smith BC, Watson NR, Wood AR: Power System Harmonic Analysis. John Wiley & Sons, New York, NY, USA; 1997.View ArticleGoogle 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. 10.1109/61.400874View ArticleGoogle 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:19960534Google 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. 10.1109/59.49090View ArticleGoogle 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. 10.1109/61.400901View ArticleGoogle Scholar
  10. Hildebrand FB: Introduction to Numerical Analysis. McGraw-Hill Book, New York, NY, USA; 1956.MATHGoogle 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.1980.1163429View ArticleGoogle 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.View ArticleGoogle Scholar
  13. Kay SM, Marple SL Jr.: Spectrum analysis—a modern perspective. Proceedings of the IEEE 1981,69(11):1380-1419.View ArticleGoogle Scholar
  14. Anderson E, Bai Z, Bischof C, et al.: LAPACK User's Guide. 3rd edition. SIAM, Philadelphia, Pa, USA; 1999.View ArticleGoogle 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 2002Google Scholar
  18. Powersim : PSIM User's Guide Version 6.0. Powersim, Andover, Mass, USA, June 2003Google Scholar


© Li Qi et al. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.