The Transactions of The Korean Institute of Electrical Engineers (전기학회논문지)

The Korean Institute of Electrical Engineers (대한전기학회)
권호 표지
DOI QR코드

DOI QR Code

Eigenvalue Analysis and Detection of Low Frequency Oscillation using PMU Data in KEPCO System

위상동기신호를 이용한 한전계통의 저주파진동 검출과 고유치해석

  • Shim, Kwan-Shik (Dept. of Electrical Engineering, Chonnam National University) ;
  • Kim, Sang-Tae (Energy Solution Team, LG CNS Ltd.) ;
  • Kim, Tae-Kyun (Korea Electric Power Corporation(KEPCO)) ;
  • Ahn, Seon-Ju (Dept. of Electrical Engineering, Chonnam National University) ;
  • Choi, Joon-Ho (Dept. of Electrical Engineering, Chonnam National University)
  • Received : 2016.08.21
  • Accepted : 2017.01.16
  • Published : 2017.02.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper describes the results of a low-frequency oscillation analysis using data measured in PMU installed in the KEPCO system, and the comparison with eigenvalues computed from the linear model. The dominant oscillation modes are estimated by applying various algorithms. The algorithms are: the extended Prony method; multiple time interval parameter estimation method; subspace system identification method; and spectral analysis. From the measurement data, modes of frequency 0.68[Hz] and 0.92[Hz] were estimated, and modes of frequency 0.63[Hz] and 0.80[Hz] were computed from the eigenvalue calculation. There was a difference between the mode estimated from measurement data and that from the linear model. This is possibly because of an error in the dynamic data of the KEPCO system used in eigenvalue calculation. Because wide area modes exist in the KEPCO system, these modes should be monitored continuously for the reliable operation of the system. In order to prevent total blackouts caused by wide area oscillation, moreover, contingency analysis should be performed in relation to this mode and appropriate measures should be established.

Keywords

References

  1. P. Kundur, Power System Stability and Control, McGraw-Hill, Inc., New York, 1994.
  2. EPRI, Small Signal Stability Analysis Program Package, Ver.3.0, Vol. 1-Vol. 3, Final Report, TR-101850, 1993.
  3. L. Wang and A. Semlyen, "Application of Sparse Eigenvalue Techniques to the Small Signal Analysis of Large Power Systems," IEEE Trans. on Power Systems, Vol. PWRS-4, No. 1, May 1990.
  4. N. Uchida and T. Nagao, "A New Eigen-Analysis Method of Steady State Stability Studies for Large Power Systems : S Matrix Method," IEEE Trans. on Power Systems, Vol. PWRS-3, No. 3, May 1988.
  5. CEPEL, PACDYN user's manual, ver 4.0, 1996.
  6. H. K. Nam, S. G. Song, K. S. Shim, "Hessenberg Method for Small Signal Stability Analysis of Large Power Systems," The Trans of Korean Institute of Electrical Engineers, Vol. 49, No. 4, pp. 168-176, Apr. 2000.
  7. D. N. Kosterev, C. W. Taylor and W. A. Mittelstadt, "Model Validation for the August 10, 1996 WSCC System Outage," IEEE Trans. on Power Systems, Vol. 14, No. 3, pp. 967-979, Aug. 1999. https://doi.org/10.1109/59.780909
  8. 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, Feb. 1990. https://doi.org/10.1109/59.49090
  9. D. J. Trudnowski, "Order Reduction of Large-scale Linear Oscillatory System Models," IEEE Trans. on Power Systems, Vol. 9, pp. 451-458, Feb. 1994. https://doi.org/10.1109/59.317578
  10. D. J. Trudnowski, J. M. Johnson, J. F. Hauer, "Making Prony Analysis More Accurate using Multiple Signals," IEEE Trans. on Power Systems, Vol. 14, pp. 226-231, Feb. 1999. https://doi.org/10.1109/59.744537
  11. I. Kamwa, R. Grondin, "PMU Configuration for System Dynamic Performance Measurement in Large Multiarea Power Systems," IEEE Trans. on Power Systems, Vol. 17, No. 2, pp. 385-394, 2002. https://doi.org/10.1109/TPWRS.2002.1007908
  12. D. Atanackovic, J. H. Clapauch, G. Dwernychuk, J. Gurney, H. Lee, "First Steps to Wide Area Control," IEEE Power Energy, Vol. 6, pp. 61-68, 2008.
  13. A. G. Phadke, R. M. de Moraes, "The Wide World of Wide-Area Measurement," IEEE Power Energy, Vol. 6, pp. 52-65, 2008.
  14. 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. https://doi.org/10.1109/TPWRS.2008.2009429
  15. K. S. Shim, H. K. Nam, Y. C. Lim,"Use of Prony Analysis to Extract Sync Information of Low Frequency Oscillation from Measured Data," European Trans. on Electrical Power, Vol. 21, No. 5, pp. 1746-1762, Jul. 2011. https://doi.org/10.1002/etep.531
  16. C. E. Grund, J. J. Paserba, J. F. Hauer, S. Nilsson, "Comparison of Prony and Eigenanalysis for Power System Control Design," IEEE Trans. on Power Systems, Vol. 8, Aug. 1993.
  17. J. J. Sanchez-Gasca, J. H. Chow, "Performance Comparison of Three Identification Methods for The Analysis of Electromechanical Oscillations," IEEE Trans. on Power Systems, Vol. 14, pp. 995-1002, Aug. 1999. https://doi.org/10.1109/59.780912
  18. R. W. Wies, J. W. Pierre, 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
  19. K. S. Shim, S. T. Kim, J. H. Choi, H. K. Nam, S. J. Ahn, "A Parameter Estimation Method of Multiple Time Interval for Low Frequency Oscillation Analysis," The Transactions of the Korean Institute of Electrical Engineers, Vol. 63, No. 7, pp. 875-882, Jul. 2014. https://doi.org/10.5370/KIEE.2014.63.7.875
  20. D. R. Ostojic, "Spectral Monitoring of Power System Dynamic Performances," IEEE Trans. Power Systems," Vol. 8, No. 2, pp. 445-451, May. 1993.
  21. 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. https://doi.org/10.1109/59.331468
  22. 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. https://doi.org/10.1109/59.898099
  23. 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. https://doi.org/10.1109/TPWRS.2005.861960
  24. K. S. Shim, H. K. 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.
  25. J. H. Choi, K. S. Shim, H. K.Nam, Y. C. Lim and S. R. Nam,"Parameter Estimation Method of Low-Frequency Oscillating Signals Using Discrete Fourier Transforms," Journal of Electrical Engineering & Technology, Vol. 7, No. 2, pp. 163-170, Jul, 2012. https://doi.org/10.5370/JEET.2012.7.2.163
  26. L. L. Scharf, Statistical Signal Processing : Detection, Estimation, and Time Series Analysis, Addison-Wesley Publishing Company, New York, 1991.
  27. 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. on Power Systems, Vol. 6, pp. 118-126, 1991.
  28. A. Hasanovic, A. Feliachi, N. B. Bhatt, A. G. DeGroff, "Practical Robust PSS Design through Identification of Low-order Transfer Functions," IEEE Trans. on Power Systems, Vol. 19, pp. 1492-1500, Aug. 2004. https://doi.org/10.1109/TPWRS.2004.831679
  29. J. H. Hong, J. K. Park, "A Time-domain Approach to Transmission Network Equivalents via Prony Analysis for Electromagnetic Transients Analysis," IEEE Trans. on Power Systems, Vol. 10, pp. 1789-1796, Nov. 1995. https://doi.org/10.1109/59.476042
  30. J. F. Hauer, "Application of Prony Analysis to The Determination of Modal Content and Equivalent Models for Measured Power System Response," IEEE Trans. on Power Systems, Vol.6, pp. 1062-1068, Aug. 1991. https://doi.org/10.1109/59.119247
  31. P. Van Overschee, B. De Moor, "N4SID: Subspace Algorithms for the Identification of Combined Deterministic-Stochastic Systems," Automatica, 30(1), 1994, pp. 75-93. https://doi.org/10.1016/0005-1098(94)90230-5
  32. P. Van Overschee, B. De Moor, Subspace Identification: Theory, Implementation, Application. Dordrecht, The Netherlands: Kluwer, 1996.
  33. L. Ljung, System Identification, Theory for The User, Prentice Hall Inc., New Jersey, 1999.
  34. I. Kamwa, G. Trudei, L. Gerin-Lajoie, "Low-Order Back-box Models for Control System Design in Large Power Systems," IEEE Trans. on Power Systems, Vol. 11, No. 1, Feb. 1996.
  35. J. W. Pierre, D. J. Trudnowski, and M. K. Donnelly, "Initial Results in Electromechanical Mode Identification from Ambient Data," IEEE Trans. Power Syst., Vol. 12, No. 3, pp. 1245-1251, Aug. 1997. https://doi.org/10.1109/59.630467
  36. 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. https://doi.org/10.1109/TPWRS.2002.807116
  37. N. Zhou, J. W. Pierre, 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, Aug. 2006.
  38. D. J. Trudnowski, J. W. Pierre, N. Zhou, J. F. Hauer, M. Parashar, "Performance of Three Mode-meter Block-processing Algorithms for Automated Dynamic Stability Assessment," IEEE Trans on Power Systems, Vol. 23, No. 2, pp. 680-690, 2008. https://doi.org/10.1109/TPWRS.2008.919415
  39. J. H. Wilkinson, The Algebraic Eigenvalue Problem, Clarendon Press, Oxford, 1965.
  40. G. Rogers, Power System Oscillations. Norwell, MA, USA: Kluwer, 2000.
  41. M. Klein, G. J. Rogers, P. Kundur, "A Fundamental Study of Inter-area Oscillations in Power Systems," IEEE Trans. on Power Syst., Vol. 6, No. 3, pp. 914-921, Aug. 1991. https://doi.org/10.1109/59.119229
  42. F. L. Pagola, I. J. Perez-Arriaga, G. C. Verghese, "On Sensitivities, Residues and Participations: Applications to Oscillatory Stability Analysis and Control," IEEE Transactions on Power System. Vol. 4, No. 1, pp. 278-285, Feb. 1989. https://doi.org/10.1109/59.32489
  43. S. T. Kim, "Technology of Smart WAMAC Infra Construction," KIEE Summer Conference 2011, Jul. 2011.
  44. J. Y. Kim, D. J. Woo, S. T. Kim, M. H. Choi, Y. K. Kim, "Designing of Smart WAMAC Infra Architecture Based on Synchro-Phasor," The Transactions of the Korean Institute of Electrical Engineers Vol. 59, No. 9, Sep. 2010.
  45. M. Verhaegen, P. Dewilde, "Subspace Model Identification, Part I: The Output-Error State-Space Model Identification Class of Algorithms," International Journal of Control, Vol. 56, No. 5, pp. 1187-1210 1992. https://doi.org/10.1080/00207179208934363
  46. S. J. Qin, "An Orview of Subspace Identification," Computers and Chemical Engineering, Vol. 30, No. 12, pp. 1502-1513 Sep. 2006. https://doi.org/10.1016/j.compchemeng.2006.05.045
  47. K. S. Shim, S. T. Kim, H. K. Nam, J. H. Choi, "Initial Results of Low Frequency Oscillation Analysis based on PMU in KEPCO System," The Transactions of the Korean Institute of Electrical Engineers, Vol. 63, No. 1, pp. 1-9, 2014. https://doi.org/10.5370/KIEE.2014.63.1.001
  48. K. S. Shim, S. T. Kim, J. H. Choi, "Spectral Analysis of LFO Using PMU in KEPCO Systems," Journal of the KIIEE, Vol. 27, No. 12, pp. 63-73, 2013.
  49. SSAT, Available at:http://www.dsatools.com/ssat/
  50. K. S. Shim, "Eigen-Sensitivity Analysis of Augmented Matrix and Its Applications to Power Systems," Ph.D. dissertation, Dept. Elect. Eng., Chonnam National Univ., Gwangju, 1997.
  51. IEEE Std C37.118TM-2005, IEEE Standard for Synchro-phasors for Power Systems, IEEE, 2005.
  52. J. De La Ree, V. Centeno, J. S. Thorp, A. G. Phadke, "Synchronized Phasor Measurement Applications in Power Systems," IEEE Trans. on Smart Grid, Vol. 1, No. 1, pp. 250-257, June 2010.