• Title/Summary/Keyword: Hessenberg matrix

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A Prony Method Based on Discrete Fourier Transform for Estimation- of Oscillation Mode in Power Systems (이산푸리에변환에 기초한 Prony 법과 전력계통의 진동모드 추정)

  • Nam Hae-Kon;Shim Kwan-Shik
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.6
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    • pp.293-305
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    • 2005
  • This paper describes an improved Prony method in its speed, accuracy and reliability by efficiently determining the optimal sampling interval with use of DFT (discrete Fourier transformation). In the Prony method the computation time is dominated by the size of the linear prediction matrix, which is given by the number of data times the modeling order The size of the matrix in a general Prony method becomes large because of large number of data and so does the computation time. It is found that the Prony method produces satisfactory results when SNR is greater than three. The maximum sampling interval resulting minimum computation time is determined using the fact that the spectrum in DFT is inversely proportional to sampling interval. Also the process of computing the modes is made efficient by applying Hessenberg method to the companion matrix with complex shift and computing selectively only the dominant modes of interest. The proposed method is tested against the 2003 KEPCO system and found to be efficient and reliable. The proposed method may play a key role in monitoring in real time low frequency oscillations of power systems .

Contingency Selection Using Eigen-Sensitivity Analysis for Voltage Stability. (고유치감도 해석에 의한 전압안정도의 상정사고 선택)

  • Song, S.G.;Nam, H.K.;Shim, K.S.;Moon, Y.H.;Choi, H.K.;NamKung, J.Y.
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.66-68
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    • 2000
  • The Eigen analysis in large power system provides much useful information that is not got in nose curve. The branch participation factor is not quantitative information and is an indirect method calculating incremental change in branch reactive loss. But the Eigen sensitivity analysis to each mode is direct and provides of quantitative information but this method because of needing much time is used in large power system. In this paper the Hessenberg method is used to obtaining dominant eignvalues and corresponding eigenvectors of Jacobian matrix. Ranking the critical contingencies is done by computing the Eigen sensitivity of each dominant eignvalues for changes of each line. The proposed algorithm is tested on the New England 30-bus system and KEPCO system in the year of 2000, which comprises of 791-bus and 2500-branches.

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