S行列法のための修正一般化レイリー商反復法

抄録

This paper presents an efficient technique for the S-matrix method that focuses on the most dominant eigenvalue in power system dynamic stability. In order to speed up the convergence characteristics of the S-matrix method, this paper makes use of a shifting technique with the generalizecdRayleigh quotient. Although the generalized Rayleigh quotient iteration method is quite attractive in terms of the efficiency of the shifted matrix, it does not have a theoretical guideline for updating the shift parameter. It is known that the method is very powerful under some good conditions. Indeed, the method follows heuristics on the matrix shift. As a result, the method is not reliable in obtaining solutions with any initial values. To overcome the problem, this paper proposes a modified generalized Rayleigh quotient iteration method with considerations of updating the shift parameter appropriately. The method is based on the recent results of the conditions of the parameter in the S-matrix transform. The effectiveness of the modified generalized Rayleigh quotient iteration method is demonstrated in examples.