Towards development of a CUEP method for Network-preserving power system models

The controlling unstable equilibrium point (CUEP) method is a reliable direct method for stability analysis of electrical power systems. In this paper, the foundations of the CUEP method, initially developed for network-reduced power system models, are extended to network-preserving power system models, which are represented by a set of differential-algebraic equations (DAEs). This extension explores the relationship between equilibrium points on the stability boundary of DAE systems and those of their associated singularly perturbed systems (SPS).