The Partial Eigenanalysis Using The Arnoldi-Chebyshev Method in Large Power Systems

아놀디체비셰프를 이용한 전력계통에서의 부분고유치해석

Small-signal stability analysis of large power systems needs the calculation of eigenvalues. But we use the partial eigenanalysis to calculate rightmost eigenvalues, since system matrix is very large. This paper proposes the Arnoldi-Chebyshev method identifying rightmost eigenvalues. This method constructs an optimal ellipse containing unwanted eigenvalues and use the Chebyshev iteration to get approximate eigenvetors corresponding to wanted eigenvalues, and then applies the modified Arnoldi method to calculate wanted eigenvalues.