# Rotor-angle versus voltage instability in the third-order model for synchronous generators

## TL;DR

This paper analyzes the stability interplay between rotor-angle and voltage in power systems using a third-order generator model, providing stability conditions and a global stability map for a two-bus system.

## Contribution

It offers necessary and sufficient stability conditions and analytical insights into the stability routes of the third-order generator model.

## Key findings

- Derived stability conditions for the third-order model
- Identified routes to rotor-angle and voltage instability
- Created a global stability map for a two-bus system

## Abstract

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.