Fast Estimation of Low Frequency Parameter for Real-Time Analysis in Wide Area Systems

광역계통의 실시간해석을 위한 고속 저주파수 파라미터 추정

  • 김은주 (전남대 공대 전기공학과) ;
  • 심관식 (전남대 공업기술연구소) ;
  • 김용구 (한국폴리텍 V대학 전기계측제어과) ;
  • 김의선 (신경대 정보통신학과) ;
  • 남해곤 (전남대 공대 전기공학과) ;
  • 임영철 (전남대 공대 전기공학과)
  • Published : 2009.06.01

Abstract

This paper presents a Fourier based algorithm for estimating the parameters of the low frequency oscillating modes. The proposed methods estimates various parameters(frequency, damping factor, mode magnitude, phase) by fitting Fourier spectrum and phase with a damped exponential cosine function. Dominant frequency is selected by taking frequency corresponding to the peak spectrum, and damping factor is estimated using the left/right spectra of Fourier spectrum. In addition, mode magnitude is calculated by the normalized peak spectrum, and phase is estimated from spectrum phase. Also, we introduce an accuracy index in order to determine the accuracy of the estimated parameters, and the index is calculated using the deviations of the peak spectrum and the left/right spectra. The parameter estimation methods proposed in this paper include very simple arithmetical processes, so the algorithms are simple and the calculation speed is very fast. The proposed methods are applied to test functions with two dominant modes. The results show that the proposed methods are highly applicable to low frequency parameter estimation.

Keywords

References

  1. J. F. Hauer, W. A. :VIittelstadt, K. E. Martin, J. W. Burns, H. Lee, J. W. Pierre, D. J. Trudnowski, 'Use of the WECC W AMS in Wide-Area Probing Tests for Validation of System Performance and Modeling', IEEE Trans. on Power Systems, Vol. 24, No.1, pp.250-257, Feb. 2009 https://doi.org/10.1109/TPWRS.2008.2009429
  2. Ning Zhou, J. W. Pierre, J. F. Hauer, 'Initial Results in Power System Identification from Injected Probing Signals using a Subspace Method', IEEE Trans. on Power Systems, Vol. 21, No.3, pp. 1296-1302, Aug. 2006 https://doi.org/10.1109/TPWRS.2006.879292
  3. I. Kamwa, R. Grondin, Y. Hebert, 'Wide-Area Measurement Based Stabilizing Control of Large Power Systems-A Decentralized/Hierarchical Approach', IEEE Trans. on Power Systems, Vol. 16, No.1, pp.136-153, Feb. 2001 https://doi.org/10.1109/59.910791
  4. M. Klein, G. J. Rogers, P. Kundur, 'A Fundamental Study of Inter-area Oscillations in Power Systems,' IEEE Trans. on Power Systems, Vol. 6, pp.914--921, 1991 https://doi.org/10.1109/59.119229
  5. L. L. Scharf, Statistical Signal Processing Detection, Estimation, and Time Series Analysis, Addison-Wesley Publishing Company, New York, 1991
  6. J. F. Hauer, C. J. Demeure, L. L. Scharf, 'Initial Results in Prony Analysis of Power System Response Signals', IEEE Trans. on Power Systems, Vol. 5, pp.80-89, Aug. 1990 https://doi.org/10.1109/59.49090
  7. J. F. Hauer, D. Trudnowski, G. Rogers, B. Mittelstadt, W. Litzenberger, J. Johnson, 'Keeping an Eye on Power System Dynamics', IEEE Computer Applications in Power, Vol. 10, pp.50-54, 1997 https://doi.org/10.1109/67.625375
  8. Peter O'Shea, 'The Use of Sliding Spectral Windows for Parameter Estimation m Power System Disturbance Monitoring', IEEE Trans. on Power Systems, Vol. 15, No.4, pp.1261-1266, 2000 https://doi.org/10.1109/59.898099
  9. R. W. Wies, J. W. PielTe, D. J. Trudnowski, 'Use of ARMA Block Processing for Estimating Stationary Low-frequency Electromechanical Modes of Power Systems,' IEEE Trans. on Power Systems, Vol. 18, pp.167-173, Feb. 2003 https://doi.org/10.1109/TPWRS.2002.807116
  10. J. W. Pierre, D. J. Trudnowski, M. K. Donnelly, 'Initial Results m Electromechanical Mode Identification from Ambient Data', IEEE Trans. on Power Systems, Vol. 12, pp.1245-1251. Aug. 1997 https://doi.org/10.1109/59.630467
  11. 심관식, 남해곤, '이산푸리에변환과 시계열데이터의 고속 파라미터 추정', 대한전기학회논문지, Vo1.55, No.7, pp.265-272, 2006
  12. W. L. Briggs, V. E. Henson, The DFT, An Owner's Manual for the Discrete Fourier Transform, SIAM, Philadelphia, 1995
  13. P. A. Lynn, W. Fuerst, Introductory Digital Signal Processing. John Wiley & Sons, Inc.. New York, 1998
  14. L. Ljung, System Identification, Theory for The User, Prentice Hall Inc., New Jersey, 1999
  15. Numerical Recipes in FORTRAN, Cambridge University Press, New York, 1992