Constructing analytical energy functions for lossless network-reduction power system models: Framework and new developments

The task of constructing an energy function is essential for direct stabili ty analysis of electric power systems. This paper presents a general proced ure for constructing analytical energy functions for detailed lossless netw ork-reduction power system stability models. This paper primarily (i) devel ops canonical representations for lossless network-reduction power system m odels and shows that such canonical representations cover existing stabilit y models, (ii) derives theoretical results regarding the existence of analy tical energy functions for the canonical representations, and (iii) present s a systematic procedure to construct corresponding energy functions.