Title :
Efficient calculation of critical eigenvalue clusters in the small signal stability analysis of large power systems
Author :
Angelidis, George ; Semlyen, Adam
Author_Institution :
Dept. of Electr. & Comput. Eng., Toronto Univ., Ont., Canada
fDate :
2/1/1995 12:00:00 AM
Abstract :
The paper presents a methodology for the calculation of a selected set of eigenvalues, considered critical in the small signal stability analysis of power systems. It analyzes several alternatives for refining a preliminary rough solution obtained by subspace iterations. These alternatives range from constant-matrix iterative refinement to Newton´s method. Due to an adaptive solution strategy, the overall algorithm is very robust. Newton´s method is much faster than existing approaches. The performance of these methods is demonstrated on several test systems
Keywords :
Newton method; eigenvalues and eigenfunctions; power system analysis computing; power system stability; sparse matrices; Newton´s method; adaptive solution strategy; constant-matrix iterative refinement; critical eigenvalue clusters; large power systems; power system dynamics; preliminary rough solution refining; small signal stability analysis; sparse matrices; subspace iterations; Clustering algorithms; Eigenvalues and eigenfunctions; Equations; Iterative methods; Jacobian matrices; Power system analysis computing; Power system dynamics; Power system stability; Sparse matrices; Stability analysis;
Journal_Title :
Power Systems, IEEE Transactions on
