• 제목/요약/키워드: rightmost eigenvalue

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계통의 종합적 미소신호 안정도 해석 알고리듬과 ATC 산정에의 응용에 관한 연구 (A Unified Framework for Small Signal Stability Analysis of Power Systems and Its Application to Available Transfer Capability)

  • 김상암;송화창;이병준;권세혁
    • 대한전기학회논문지:전력기술부문A
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    • 제48권10호
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    • pp.1222-1230
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    • 1999
  • This paper presents the framework for analysis of small-signal stability. In this framework the equilibrium points of system DAE model are traced using continuation method and instability points are determined on the solution path. Especially Implicit shift QR-modified Arnoldi method is utilized to calculated the rightmost eigenvalues. Small-signal stability is becoming one of the major factors that affect the ATC in the environment of deregulation. Stability limited ATC is easily evaluated in this stability analysis process.

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On Calculating Eigenvalues In Large Power Systems Using Modified Arnoldi Method

  • 이병준
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 하계학술대회 논문집 B
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    • pp.734-736
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    • 1996
  • This paper presents a method of calculating a selective number of eigenvalues in power systems, which are rightmost, or are largest modulus. The modified Arnoldi method in conjunction with implicit shift OR-algorithm is used to calculate the rightmost eigenvalues. Algorithm requires neither a prior knowledge of the specified shifts nor the calculation of inverse matrix. The key advantage of the algorithm is its ability to converge to the wanted eigenvalues at once. The method is compared with the modified Arnoldi method combined with S-matrix transformation, where the eigenvalues having the largest modulus are to be determined. The two methods are applied to the reduced Kansai system. Convergence characteristics and performances are compared. Results show that both methods are robust and has good convergence properties. However, the implicit shift OR method is seen to be faster than the S-matrix method under the same condition.

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