Journal of Electrical Engineering and Technology

  • 제2권4호
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  • Pages.428-433
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  • 2007
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  • 1975-0102(pISSN)
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  • 2093-7423(eISSN)
대한전기학회 (The Korean Institute of Electrical Engineers)
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Application of the Implicit Restarted Arnoldi Method to the Small-Signal Stability of Power Systems

  • 발행 : 2007.12.31
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초록

This paper describes the new eigenvalue algorithm exploiting the Implicit Restarted Arnoldi Method (IRAM) and its application to power systems. IRAM is a technique for combining the implicitly shifted mechanism with a k-step Arnoldi factorization to obtain a truncated form of the implicitly shifted QR iteration. The numerical difficulties and storage problems normally associated with the Arnoldi process are avoided. Two power systems, one of which has 36 state variables and the other 150 state variables, have been tested using the ARPACK program, which uses IRAM, and the eigenvalue results are compared with the results obtained from the conventional QR method.

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참고문헌

  1. J.G.F. Francis. 'The QR Transformation-Part I'. The Computer Journal, 4:265-271, 1961 https://doi.org/10.1093/comjnl/4.3.265
  2. J.G.F. Francis. 'The QR Transformation-Part II'. The Computer Journal, 4:265-271, 1961 https://doi.org/10.1093/comjnl/4.3.265
  3. N. Uchida and T. Nagao, 'A New Eigen-Analysis Method of Steady State Stability Studies for Large Power System: S Matrix Method', IEEE Trans, vol. PWRS-3, Nl.2, pp. 706-714, May 1988
  4. L. Wang and A. Semlyen, 'Application of Sparse Eigenvalue Technique to the small signal stability Analysis of Large Power systems', Proc. of the Sixteenth PICA Conference, Seattle, Washington, pp 358-365, 1989
  5. D.C. Sorensen, 'Implicit application of polynomial filters in a k-step Arnoldi method', SIAM J.Matrix Anal. Appl. 13 (1992), 357-385. MR 92i:65076 https://doi.org/10.1137/0613025
  6. ARPACK Users' Guide, SIAM 1998, Philadelphia. PA
  7. W.E. Arnoldi, 'The principle of minimized iteration in the solution of the matrix eigenvalue problem', Quart. J. Appl. Math., 9:17-29, 1951 https://doi.org/10.1090/qam/42792
  8. Y. Saad, 'Variations on Arnoldi's Method for computing eigenelements of large unsymmetric matrices', Linear Algebra and Its Applications, Vol. 34, pp 269-295, June 1980 https://doi.org/10.1016/0024-3795(80)90169-X
  9. Y. Saad, 'Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems', Math. Comp., 42, 567-588, 1984 https://doi.org/10.2307/2007602
  10. G.H. Golub, C.F. Van Loan, 'Matrix Computations', 3/e, 1996, The Johns Hopkins University Press, Baltimore, MD
  11. J.H. Wilkinson, The Algebraic Eigenvalue Problem, Clarendon Press, Oxford, 1965
  12. D.J. Kim, Y.H. Moon, J.H. Shin, T.K. Kim, 'A Small Signal Stability Program for Tuning PSS Parameters', KIEE Journal 2003, 5. Vol. 52A

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