Calculation of electromechanical oscillation modes in large power systems using Jacobi-Davidson method

An efficient method for the calculation of electromechanical oscillation modes in the small-signal stability analysis of large power systems is presented. The method requires calculating only the critical eigenvalues with increasing damping ratios rather than all rightmost eigenvalues. The Jacobi-Davidson method is a very recent subspace iteration method. It is attractive as a new powerful technique for solving a variety of large sparse eigenproblems and is successfully applied to the calculation of critical eigenvalues. The computational efficiency of the Jacobi-Davidson method is improved by adopting Krylov subspace as the initial search subspace. The proposed method has been tested on 46 and 113 machine systems. The results show that it is capable of effectively finding all electromechanical modes of oscillation with unsatisfactory damping ratios, and suitable for the electromechanical oscillation analysis of large power systems.