Open Access

On the Empirical Estimation of Utility Distribution Damping Parameters Using Power Quality Waveform Data

EURASIP Journal on Advances in Signal Processing20072007:095328

Received: 30 April 2006

Accepted: 24 December 2006

Published: 15 March 2007


This paper describes an efficient yet accurate methodology for estimating system damping. The proposed technique is based on linear dynamic system theory and the Hilbert damping analysis. The proposed technique requires capacitor switching waveforms only. The detected envelope of the intrinsic transient portion of the voltage waveform after capacitor bank energizing and its decay rate along with the damped resonant frequency are used to quantify effective X/R ratio of a system. Thus, the proposed method provides complete knowledge of system impedance characteristics. The estimated system damping can also be used to evaluate the system vulnerability to various PQ disturbances, particularly resonance phenomena, so that a utility may take preventive measures and improve PQ of the system.


Authors’ Affiliations

Department of Electrical and Computer Engineering, The University of Texas at Austin
Department of Signals and Systems, Chalmers University of Technology


  1. Dugan RD, McGranaghan MF, Santoso S, Beaty WH: Electrical Power Systems Quality. 2nd edition. McGraw-Hill, New York, NY, USA; 2003.Google Scholar
  2. Grebe TE: Application of distribution system capacitor banks and their impact on power quality. IEEE Transactions on Industry Applications 1996,32(3):714-719. 10.1109/28.502186View ArticleGoogle Scholar
  3. Banejad M, Ledwich G: Quantification of damping contribution from loads. IEE Proceedings: Generation, Transmission and Distribution 2005,152(3):429-434. 10.1049/ip-gtd:20049017Google Scholar
  4. Hauer JF: Application of Prony analysis to the determination of modal content and equivalent models for measured power system response. IEEE Transactions on Power Systems 1991,6(3):1062-1068. 10.1109/59.119247View ArticleGoogle Scholar
  5. Kundur P: Power System Stability and Control. EPRI, Palo Alto, Calif, USA; 1994.Google Scholar
  6. Bollen MHJ, Styvaktakis E, Gu IYH: Categorization and analysis of power system transients. IEEE Transactions on Power Delivery 2005,20(3):2298-2306. 10.1109/TPWRD.2004.843386View ArticleGoogle Scholar
  7. Gu IYH, Styvaktakis E: Bridge the gap: signal processing for power quality applications. Electric Power Systems Research 2003,66(1):83-96. 10.1016/S0378-7796(03)00074-9View ArticleGoogle Scholar
  8. PES Distribution Systems Analysis Subcommittee Radial Test Feeders. IEEE, Radial Test Feeders. IEEE,
  9. Manitoba HVDC Research Centre Winnipeg, Canada. PSCAD/EMTDC version 4.2Google Scholar
  10. Bendat JS, Piersol AG: Random Data: Analysis and Measurement Procedures. John Wiley & Sons, New York, NY, USA; 1986.MATHGoogle Scholar
  11. Kuo BC, Golnaraghi F: Automatic Control Systems. 8th edition. John Wiley & Sons, New York, NY, USA; 2003.Google Scholar
  12. Greenwood A: Electrical Transients in Power Systems. 2nd edition. John Wiley & Sons, New York, NY, USA; 1991.Google Scholar
  13. Antoulas AC: Approximation of Large-Scale Dynamical Systems. SIAM, Philadelphia, Pa, USA; 2005.View ArticleMATHGoogle Scholar
  14. Santoso S, Powers EJ, Grady WM, Hofmann P: Power quality assessment via wavelet transform analysis. IEEE Transactions on Power Delivery 1996,11(2):924-930. 10.1109/61.489353View ArticleGoogle Scholar
  15. Hur K, Santoso S: An improved method to estimate empirical system parallel resonant frequencies using capacitor switching transient data. IEEE Transactions on Power Delivery 2006,21(3):1751-1753. 10.1109/TPWRD.2006.874559View ArticleGoogle Scholar
  16. Scharf LL: Statistical Signal Processing: Detection, Estimation and Time-Series Analysis. Addison Wesley, New York, NY, USA; 1991.MATHGoogle Scholar


© Kyeon Hur 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.