Du Zhengchun,Liu Wei,Fang Wanliang,Xia Daozhi
(School of Electrical Engineering,Xi'an Jiaotong University,Xi'an 710049,¡¡China)
Abstract:Eigenvalues ordered in decreasing real parts in large-scale power systems,i.e.critical eigenvalues,are directly computed by explicitly restarted Arnoldi method with Chebyshev acceleration, where an ellipse containing unwanted eigenvalues is constructed and the Chebyshev polynomial is adopted to acquire a restart vector to amplify the components in the direction of the basis vectors for the wanted eigenvalues and damp those in the direction of the remaining basis vectors£®Numerical results of the systems with 3 and 46 machines verify that the critical set of eigenvalues of large-scale power systems can be found efficiently and accurately by the proposed method.
Keywords:large-scale power systems;eigenvalues;Arnoldi method;Chebyshev acceleration