An overview of critical eigenvalue tracing and decoupled time domain simulation in power system analysis

This paper presents an overview of two computational methods in power system analysis: critical eigenvalue tracing and decoupled time domain simulation. In the first part, critical eigenvalue tracing algorithms are presented via continuation concept as well as integration. Eigenvalue tracing method can obtain trajectories of critical eigenvalues with respect to parameter change, and eigenvalues with multiplicity and very close eigenvalues can be effectively traced. In the second part, a decoupled dynamical simulation method is proposed via invariant subspace partition. The decoupled method combines the advantages of implicit and explicit methods, and achieves both numerical stability and computational efficiency.