기본파 성분의 정확한 측정을 위한 해석적 방법

An Analytic Method for Measuring Accurate Fundamental Frequency Components

  • 남순열 (서울대학교 전기공학부) ;
  • 강상희 (명지대학교 전기공학과/차세대 전력기술 연구센터) ;
  • 박종근 (서울대학교 전기공학부/차세대 전력기술 연구센터)
  • 발행 : 2002.04.01

초록

This paper proposes an analytic method for measuring the accurate fundamental frequency component of a fault current signal distorted with a DC-offset, a characteristic frequency component, and harmonics. The proposed algorithm is composed of four stages: sine filer, linear filter, Prony's method, and measurement. The sine filter and the linear filter eliminate harmonics and the fundamental frequency component, respectively. Then Prony's method is used to estimate the parameters of the DC-offset and the characteristic frequency component. Finally, the fundamental frequency component is measured by compensating the sine-filtered signal with the estimated parameters. The performance evaluation of the proposed method is presented for a-phase to around faults on a 345 kV 200 km overhead transmission line. The EMTP is used to generate fault current signals under different fault locations and fault inception angles. It is shown that the analytic method accurately measures the fundamental frequency component regardless of the characteristic frequency component as well as the DC-offset.

키워드

참고문헌

  1. M. S. Sachedev, and M. A. Baribeau, A new algorithm for digital impedance relays, IEEE Trans. Power Apparatus and Systems, Vol. PAS-98, No. 4, December 1979, pp. 253-260 https://doi.org/10.1109/TPAS.1979.319422
  2. A. A. Girgis, R. G. Brown, Application of Kalman filtering in computer relaying, IEEE Trans. Power Apparatus and Systems, Vol. PAS-100, No. 7, July 1981, pp. 3387-3397 https://doi.org/10.1109/TPAS.1981.316681
  3. M. S. Sachdev, H. C. Wood, and N. G. Johnson, Kalman filtering applied to power system measurements for relaying, IEEE Trans. Power Apparatus and Systems, Vol. PAS-104, No. 12, December 1985, pp. 3565-3573 https://doi.org/10.1109/TPAS.1985.318911
  4. P. K. Dash, and D. K. Panda, Digital impedance protection of power transmission lines using a spectral observer, IEEE Trans. Power Delivery, vol. 3, No. 1, January 1988, pp. 102-110 https://doi.org/10.1109/61.4235
  5. A.G. Phadkc, and J.S. Thorp, Computer Relaying for Power Systems, Research Studies Press Ltd, 1988
  6. M. S. Sachdev, and M. Nagpal, A recursive least error squares algorithm for power system relaying and measurement applications, IEEE Trans. Power Delivery, vol. 6, No. 3, July 1991, pp. 1008-1015 https://doi.org/10.1109/61.85841
  7. O. A. S. Youssef, A fundamental digital approach to impedance relays, IEEE Trans. Power Delivery, vol. 7, No. 4, October 1992, pp. 1861-1870 https://doi.org/10.1109/61.156988
  8. E. Rosolowski, and M. Michalik, Fast identification of symmetrical components by use of a stats observer, IEE Proc.-Gener. Transm. Distrib., vol. 141, No. 6, November 1994, pp. 617-622 https://doi.org/10.1049/ip-gtd:19941483
  9. G. Benmouyal, Removal of DC-offset in current waveforms using digital mimic filtering, IEEE Trans. Power Delivery, vol. 10, No. 2, April 1995, pp. 621-630 https://doi.org/10.1109/61.400869
  10. H. J. Altuve F., I. Diaz V., and E. Vazquez M., Fourier and Walsh digital filtering algorithm for distance protection, IEEE Trans Power Systems, Vol. 11, No. 1, February 1996, pp. 457-462 https://doi.org/10.1109/59.486133
  11. V. V. Terzija, Improved recursive Newton-type algorithm for power system relaying and measurement, IEE Proc.-Gener. Transm. Distrib., vol. 145, No. 1, January 1998, pp. 15-20 https://doi.org/10.1049/ip-gtd:19981540
  12. J. C. Gul, and S. L. Yu, Removal of DC-offset in current and voltage signals using a novel Fourier filter algorithm, IEEE Trans. Power Delivery, vol. 15, No. 1, January 2000, pp. 73-79 https://doi.org/10.1109/61.847231
  13. L. M. Popovic, General equations of the line represented by discrete parameters. II. Resonant Phenomena, IEEE Trans. Power Delivery, vol. 6, No. 1, January 1991, pp. 302-308 https://doi.org/10.1109/61.103752
  14. Y. Tang, H. Chen, H. Wang, and F. Dai, Transmission line models used in travelling wave studies, Transmission and Distribution Conference, Vol. 2, 1999, pp. 797-803 https://doi.org/10.1109/TDC.1999.756151
  15. J. F. Hauer, C. J. Demeure, and L. L. Scharf, Initial results in Prony analysis of power system response signals, IEEE Trans Power System, vol. 5, No. 1, February 1990, pp. 80-89 https://doi.org/10.1109/59.49090
  16. O. Chaari, P. Bastard, and M. Meunier, Pronys Method: an efficient tool for the analysis of earth fault currents in Petersen-coil-protected networks, IEEE Trans. Power Delivery, vol. 10, No. 3, July 1995, pp. 1234-1241 https://doi.org/10.1109/61.400901
  17. T. Lobos, and J. Rezmer, Real-time determination of power system frequency, IEEE Trans. Instrumentation and measurement, vol. 46, No. 4, August 1997, pp. 877-881 https://doi.org/10.1109/19.650792
  18. D. T. Trudnowski, J. M. Johnson, and J. F. Hauer, Making Prony analysis more accurate using multiple signals, IEEE Trans Power System, Vol. 14, No. 1, February 1999, pp. 226-231 https://doi.org/10.1109/59.744537
  19. S. W. Smith, The Scientist and Engineers Guide to Digital Signal Processing, California Technical Publishing, 1997, p. 83