Invariant Subspace Based Eigenvalue Tracing for Power System Small-signal Stability Analysis

This paper presents a novel eigenvalue computation tool for eigenvalue tracing and stability margin identification of power systems. It provides us advanced features for the small-signal stability analysis as well as improved capabilities for eigenvalue analysis. The algorithm is based on the combination or invariant subspace method and the predictor-corrector scheme. As a result, one can trace any specified set of eigenvalues of interest. The application of eigenvalue tracing to identify various dynamic phenomena is discussed. The eigenvalue and eigenvector sensitivities can also be extracted successively during the continuation process without additional computational cost. An efficient oscillatory stability margin and damping margin identification is described by using the eigenvalue sensitivity information. The numerical results on the New England 39-bus system are described in detail.