Lyapunov Function Family Approach for Transient Stability Analysis

Direct energy methods are the only alternative to simulations for transient stability analysis and are currently used by a number of system operators around the world. Despite many decades of research these methods still rely on NP-hard algorithms and cannot be applied directly to standard models.

We proposed an alternative approach based on more general Lyapunov functions.This technique is based solely on convex optimization algorithms, extends to wider range of models, and is less conservative in comparison to classical energy methods.