Constructing analytical energy functions for network-preserving power system models

This paper presents a general procedure for constructing analytical energy functions for network-preserving power system stability models. Canonical representations of network-preserving power system models are presented first. It is demonstrated that such canonical representations can cover existing stability models. Theoretical results regarding the existence of analytical energy functions for the canonical representation are derived. In addition, a new network-preserving model with detailed generator and hybrid load representations is developed. The corresponding analytical energy function for the proposed model is studied. Physical explanations of each term in the energy function are also investigated.