Using Implicitly Restarted Arnoldi Method for Eigenanalysis of Power Systems

Abstract

In this paper the implicitly restarted Arnoldi method is applied for the partial eigenanalysis of large power systems. The commonly used complex shift-invert and Cayley transformation are proved to be equivalent for implicitly restarted Arnoldi method under certain conditions. New locking technique is exploited to compute eigenvalue clusters in real large power systems and extensions are made to apply for complex matrix. Comparisons are also made with two other variants of restarted Arnoldi method. The tests show that the implicitly restarted Arnoldi method is fast, robust, and reliable.