Stability analysis of power systems using Lie series and pattern-recognition techniques

This paper concerns the estimation of stability domains for transient stability problems in power systems. Lieseries methods are used for generating a solution to Zubov´s partial differential equation and pattern recognition algorithms are applied to obtain the boundary defining a region of stability. Critical clearing times for representative problems are obtained using the analytical expression for the stability boundary, and these values are verified by observing the nature of the swing curves obtained by numerical integration.