Proceedings of the KIEE Conference (대한전기학회:학술대회논문집)

The Korean Institute of Electrical Engineers (대한전기학회)
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Modal Analysis of Large Scale Multi-Machine Power System using Rayleigh Quotient and Deflation

Rayleigh Quotient와 Deflation을 이용한 대형다기(多機)전력계통의 고유치 해석

  • Shim, Kwan-Shik (Department of Electrical Engineering, Channam National University) ;
  • Nam, Hae-Kon (Department of Electrical Engineering, Channam National University)
  • 심관식 (전남대학교 전기공학과) ;
  • 남해곤 (전남대학교 전기공학과)
  • Published : 1993.07.18
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Abstract

This paper describes an efficient method of computing any desired number of the most unstable eigenvalues and eigenvectors of a large scale multi-machine power system. Approximate eigenvalues obtained by Hessenberg process are refined using Rayleigh quotient iteration with cubic convergence property. If further eigenvalues and eigenvectors are needed, the procedure described above are repeated with deflation. The proposed algorithm can cover all the model types of synchronous machines, exciters, speed governing system and PSS defined in AESOPS. The proposed algorithm applied to New England test system with 10 machines and 39 buses produced the results same with AESOPS in faster computation time. Also eigenvectors computed in Rayleigh quotient iteration makes it possible to make eigen-analysis for improving unstable modes.

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