Parameter Estimation Method of Low-Frequency Oscillating Signals Using Discrete Fourier Transforms

- Journal title : Journal of Electrical Engineering and Technology
- Volume 7, Issue 2, 2012, pp.163-170
- Publisher : The Korean Institute of Electrical Engineers
- DOI : 10.5370/JEET.2012.7.2.163

Title & Authors

Parameter Estimation Method of Low-Frequency Oscillating Signals Using Discrete Fourier Transforms

Choi, Joon-Ho; Shim, Kwan-Shik; Nam, Hae-Kon; Lim, Young-Chul; Nam, Soon-Ryul;

Choi, Joon-Ho; Shim, Kwan-Shik; Nam, Hae-Kon; Lim, Young-Chul; Nam, Soon-Ryul;

Abstract

This paper presents a DFT (Discrete Fourier Transform) based estimation algorithm for the parameters of a low-frequency oscillating signal. The proposed method estimates the parameters, i.e., the frequency, the damping factor, the mode amplitude, and the phase, by fitting a discrete Fourier spectrum with an exponentially damped cosine function. Parameter estimation algorithms that consider the spectrum leakage of the discrete Fourier spectrum are introduced. The multi-domain mode test functions are tested in order to verify the accuracy and efficiency of the proposed method. The results show that the proposed algorithms are highly applicable to the practical computation of low-frequency parameter estimations based on DFTs.

Keywords

Discrete Fourier transform;Fourier spectrum;Time series signal;Low-frequency;Parameter estimation;

Language

English

References

1.

J. F. Hauer, W. A. Mittelstadt, K. E. Martin, J. W. Burns, H. Lee, J. W. Pierre, D. J. Trudnowski, "Use of the WECC WAMS in Wide-Area Probing Tests for Validation of System Performance and Modeling WECC Disturbance Monitoring Work Group," IEEE Trans. Power Systems, vol. 24, no. 1, pp. 250-257, Feb. 2009.

2.

D. Atanackovic, J. H. Clapauch, G. Dwernychuk, J. Gurney, and H .Lee, "First steps to wide area control," IEEE Power & Energy, vol. 6, no.1, pp. 61- 68, Jan./Feb. 2008.

3.

A. G. Phadke, R. M. de Moraes, "The Wide World of Wide-area Measurement," IEEE Power & Energy, vol. 6, No. 5, Sep./Oct. 2008.

4.

N. Zhou, J. Pierre, and J. F. Hauer, "Initial results in power system identification from injected probing signals using a subspace method," IEEE Trans. Power Systems, vol. 21, no. 3, pp. 1296-1302, Aug. 2006.

5.

X. Xie, Y. Xin, J. Xiao, J. Wu, and Y. Han "WAMS applications in Chinese power systems," IEEE Power & Energy, vol. 4, no. 1, pp. 54-63, Jan./Feb. 2006.

6.

IEEE Std C37.118 - 2005, IEEE Standard for Synchrophasors for Power Systems, IEEE, 2005.

7.

J. F. Hauer, "Validation of phasor calculations in the macrodyne PMU for California-Oregon Transmission Project tests of March 1993," IEEE Trans. Power Delivery, vol 11, no 3, pp.1224-1231, July 1996.

8.

J. B. A. London, S. A. R. Piereti, R. A. S. Benedito, N.G. Bretas, "Redundancy and Observability Analysis of Conventional and PMU Measurements," IEEE Trans. Power Systems, vol. 24, no. 3, pp:1629- 1630, Aug. 2009.

9.

A. R. Messina, V. Vittal, D. Ruiz-Vega, G. Enriquez- Harper, "Interpretation and Visualization of Wide- Area PMU Measurements Using Hilbert Analysis," IEEE Trans. Power Systems, vol. 21, no. 4, pp1763- 1771, Nov. 2006

10.

J. F. Hauer, C. J. Demeure, and L. L. Scharf, "Initial results in Prony analysis of power system response signals," IEEE Trans. Power Systems, vol. 5, no. 1, pp. 80-89, Feb. 1990.

11.

D. J. Trudnowski, J. R. Smith, T. A. Short, and D. A. Piene, "An Application of Prony Method in PSS Design for Multimachine Systems," IEEE Trans. Power Systems, vol. 6, no. 1, pp.118-126, 1991.

12.

J. F. Hauer, "Application of Prony Analysis to The Determination of Modal Content and Equivalent Models for Measured Power System Response," IEEE Trans. Power Systems, vol. 6, no. 3, pp.1062- 1068, Aug. 1991.

13.

D. J. Trudnowski, "Order Reduction of Large-scale Linear Oscillatory System Models," IEEE Trans. on Power Systems, vol. 9, no. 1, pp.451-458, Feb. 1994.

14.

J. W. Pierre, D. J. Trudnowski, M. K. Donnelly, "Initial Results in Electromechanical Mode Identification from Ambient Data," IEEE Trans. Power Systems, vol. 12, no. 3, pp.1245-1251. Aug. 1997.

15.

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, Oct. 1997.

16.

D. J. Trudnowski, J. M. Johnson, J. F. Hauer, "Making Prony Analysis More Accurate using Multiple Signals," IEEE Trans. Power Systems, vol. 14, no.1, pp.226-231, Feb. 1999.

17.

R. W. Wies, J. W. Pierre, and D. J. Trudnowski, "Use of ARMA block processing for estimating stationary low-frequency electromechanical modes of power systems," IEEE Trans. Power Systems, vol. 18, no. 1, pp. 167-173, Feb. 2003.

18.

A. Hasanovic, A. Feliachi, N. B. Bhatt, A. G. DeGroff, "Practical Robust PSS Design through Identification of Low-order Transfer Functions," IEEE Trans. Power Systems, vol. 19, no. 3, pp.1492-1500, Aug. 2004.

19.

J. J. Sanchez-Gasca, J. H. Chow, "Performance Comparison of Three Identification Methods for The Analysis of Electromechanical Oscillations," IEEE Trans. Power Systems, vol. 14, no. 3, pp.995-1002, Aug. 1999.

20.

D. Ruiz-Vega, A. R. Messina, M. Pavella, "Online Assessment and Control of Transient Oscillations Damping," IEEE Trans. Power Systems, vol.19, no. 2, pp.1038-1047, May 2004.

21.

N. Zhou, J. W. Pierre, D. J. Trudnowski, and R. T. Guttromson, "Robust RLS methods for online estimation of power system electromechanical modes," IEEE Trans. Power Systems, vol. 22, no. 3, pp. 1240-1249, Aug. 2007.

22.

Soon-Ryul Nam, Dong-Gyu Lee, Sang-Hee Kang, Seon-Ju Ahn, Joon-Ho Choi, "Fundamental Frequency Estimation in Power Systems Using Complex Prony Analysis", Journal of Electrical Engineering & Technology, Vol. 6, No. 2, pp. 154-160, March 2011

23.

K. P. Poon, K. C. Lee, Analysis of Transient Stability Swings in Large Interconnected Power Systems By Fourier Transformation", IEEE Trans. Power Systems, vol. 3, no. 4 : 1573-1581, Nov. 1988.

24.

D. R. Ostojic, "Spectral Monitoring of Power System Dynamic Performances," IEEE Trans. Power Systems," vol. 8, no. 2, pp.445-451, May. 1993.

25.

D. J. Trudnowski, M. K. Donnelly, J. F. Hauer, "A Procedure for Oscillatory Parameter Identification", IEEE Trans. Power Systems, vol. 9, no. 4, Nov. 2049- 2055, 1994.

26.

Peter O'Shea, "The Use of Sliding Spectral Windows for Parameter Estimation in Power System Disturbance Monitering," IEEE Trans. Power Systems, vol. 15, no 4, pp.1261-1267, Nov. 2000.

27.

N. Kakimoto, M. Sugumi, T. Makino, K. Tomiyama, "Monitoring of interarea oscillation mode by synchronized phasor measurement," IEEE Trans. Power Systems, vol. 21, no 1, pp.260-268, Feb. 2006.

28.

J. Z. Yang, C. W. Liu, W. G. Wu, "A Hybrid Method for the Estimation of Power System Low-Frequency Oscillation Parameters," IEEE Trans. Power Systems, vol. 22, no 4, pp.2115-2123, Nov. 2007.

29.

Kwan-Shik Shim, Hae-Kon Nam, "A Fast Parameter Estimation of Time Series Data Using Discrete Fourier Transform", The Trans. of Korean Institute of Electrical Engineers, vol.55, no.7, pp.265-272, Jul. 2006.