We investigate the interplay of rotor-angle and voltage stability in electric power systems. To this end, we carry out a local stability analysis of the third-order model which entails the classical power-swing equations and the voltage dynamics. We provide necessary and sufficient stability conditions and investigate different routes to instability. For the special case of a two-bus system we analytically derive a global stability map.
Cite
@article{arxiv.1706.06396,
title = {Rotor-angle versus voltage instability in the third-order model for synchronous generators},
author = {Konstantin Sharafutdinov and Leonardo Rydin Gorjão and Moritz Matthiae and Timm Faulwasser and Dirk Witthaut},
journal= {arXiv preprint arXiv:1706.06396},
year = {2018}
}