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

Sharafutdinov, Konstantin; Rydin Gorjao, Leonardo; Faulwasser, Timm; Witthaut, Dirk; Matthiae, Moritz

doi:10.1063/1.5002889

Journal Article

FZJ-2018-04029

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

Sharafutdinov, K. ; Rydin Gorjao, L.FZJ* ; Matthiae, M. ; Faulwasser, T. ; Witthaut, D. (Corresponding author)FZJ*

2018
American Institute of Physics Woodbury, NY

Chaos 28(3), 033117 - (2018) [10.1063/1.5002889]

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Please use a persistent id in citations: http://hdl.handle.net/2128/19619 doi:10.1063/1.5002889

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.A reliable supply of electric power requires a stable operation of the electric power grid. Thousands of generators must run in a synchronous state with fixed voltage magnitudes and fixed relative phases. The ongoing transition to a renewable power system challenges the stability as line loads and temporal fluctuations increase. Maintaining a secure supply thus requires a detailed understanding of power system dynamics and stability. Among various models describing the dynamics of synchronous generators, analytic results are available mainly for the simplest second-order model which describes only the dynamics of nodal frequencies and voltage phase angles. In this article, we analyze the stability of the third order model including the transient dynamics of voltage magnitudes. Within this model we provide analytical insights into the interplay of voltage and rotor-angle dynamics and characterize possible sources of instability. We provide novel stability criteria and support our studies with the analysis of a network of two coupled nodes, where a full analytic solution for the equilibria is obtained and a bifurcation analysis is performed.

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