This title appears in the Scientific Report :
2018
Please use the identifier:
http://hdl.handle.net/2128/19619 in citations.
Please use the identifier: http://dx.doi.org/10.1063/1.5002889 in citations.
Rotor-angle versus voltage instability in the third-order model for synchronous generators
Rotor-angle versus voltage instability in the third-order model for synchronous generators
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 conditi...
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Personal Name(s): | Sharafutdinov, Konstantin |
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Rydin Gorjao, Leonardo / Matthiae, Moritz / Faulwasser, Timm / Witthaut, Dirk (Corresponding author) | |
Contributing Institute: |
Systemforschung und Technologische Entwicklung; IEK-STE |
Published in: | Chaos, 28 (2018) 3, S. 033117 - |
Imprint: |
Woodbury, NY
American Institute of Physics
2018
|
DOI: |
10.1063/1.5002889 |
PubMed ID: |
29604628 |
Document Type: |
Journal Article |
Research Program: |
Kollektive Nichtlineare Dynamik Komplexer Stromnetze Helmholtz Young Investigators Group "Efficiency, Emergence and Economics of future supply networks" Assessment of Energy Systems – Addressing Issues of Energy Efficiency and Energy Security |
Link: |
Published on 2018-03-27. Available in OpenAccess from 2019-03-27. |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1063/1.5002889 in citations.
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. |