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

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.

12 pages, 4 figures

References in corpus (3)

• Analysis of a power grid using the Kuramoto-like model
• Non-Gaussian power grid frequency fluctuations characterized by Lévy-stable laws and superstatistics
• On the Definiteness of the Weighted Laplacian and its Connection to Effective Resistance

Cited by in corpus (5)

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• Functional Control of Oscillator Networks
• The stochastic nature of power-grid frequency in South Africa
• Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses and voltage dynamics
• Absence of pure voltage instabilities in the third order model of power grid dynamics