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

Kim, Eun-Ju (전남대 공대 전기공학과)
Shim, Kwan-Shik (전남대 공업기술연구소)
Kim, Yong-Gu (한국폴리텍 V대학 전기계측제어과)
Kim, Eui-Sun (신경대 정보통신학과)
Nam, Hae-Kon (전남대 공대 전기공학과)
Lim, Young-Chul (전남대 공대 전기공학과)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.58, no.6, 2009 , pp. 1078-1086 More about this Journal
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
Time signal; Low frequency; Parameter estimation; Fourier spectrum; Discrete Fourier transform;
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Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By SCOPUS : 0
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1 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   DOI   ScienceOn
2 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   DOI   ScienceOn
3 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   DOI   ScienceOn
4 Numerical Recipes in FORTRAN, Cambridge University Press, New York, 1992
5 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   DOI   ScienceOn
6 L. L. Scharf, Statistical Signal Processing Detection, Estimation, and Time Series Analysis, Addison-Wesley Publishing Company, New York, 1991
7 심관식, 남해곤, '이산푸리에변환과 시계열데이터의 고속 파라미터 추정', 대한전기학회논문지, Vo1.55, No.7, pp.265-272, 2006   과학기술학회마을
8 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   DOI   ScienceOn
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   DOI   ScienceOn
10 L. Ljung, System Identification, Theory for The User, Prentice Hall Inc., New Jersey, 1999
11 P. A. Lynn, W. Fuerst, Introductory Digital Signal Processing. John Wiley & Sons, Inc.. New York, 1998
12 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   DOI   ScienceOn
13 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   DOI   ScienceOn
14 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   DOI   ScienceOn
15 W. L. Briggs, V. E. Henson, The DFT, An Owner's Manual for the Discrete Fourier Transform, SIAM, Philadelphia, 1995