Hessenberg method for small signal stability analysis of large scale power systems

Author

Nam, H.K. ; Song, S.G. ; Shim, K.S. ; Kim, D.J. ; Moon, Y.H. ; Moon, C.J.

Author_Institution

Dept. of Electr. Eng., Chonnam Nat. Univ., Kwangju, South Korea

Volume

2

fYear

2000

fDate

2000

Firstpage

872

Abstract

This paper presents the Hessenberg method, a new sparsity-based small signal stability analysis program for large interconnected power systems. The Hessenberg method as well as the Arnoldi method computes the partial eigen-solution of large systems. However, the Hessenberg method with pivoting is numerically very stable comparable to the Householder method and thus re-orthogonalization of the Krylov vectors is not required. The fractional transformation with a complex shift is used to compute the modes around the shift point. The program has been successfully tested on the New England 10-machine 39-bus system and Korea Electric Power Co. (KEPCO) system in the year of 2000, which is comprised of 791-bus, 1575-branch, and 215-machines. The method is so efficient that CPU time for computing five eigenvalues of the KEPCO system is 3.6 sec by a PC with 400 MHz Pentium II processor

Keywords

control system analysis; eigenvalues and eigenfunctions; large-scale systems; power system interconnection; power system stability; sparse matrices; 3.6 s; 400 MHz; Arnoldi method; CPU time; Hessenberg method; Korea; Krylov vectors; interconnected power systems; large-scale power systems; partial eigen-solution; re-orthogonalization; small-signal stability analysis; Eigenvalues and eigenfunctions; Iterative algorithms; Large-scale systems; Moon; Power system analysis computing; Power system interconnection; Power system stability; Stability analysis; System testing; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Power Engineering Society Winter Meeting, 2000. IEEE

Print_ISBN

0-7803-5935-6

Type

conf

DOI

10.1109/PESW.2000.850041

Filename

850041