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Rotor-angle versus voltage instability in the third-order model for synchronous generators
Konstantin Sharafutdinov1, Leonardo Rydin Gorjão1, Moritz Matthiae1
1Forschungszentrum Jülich, Institute for Energy and Climate Research - Systems Analysis and Technology Evaluation (IEK-STE), 52428 Jülich, Germany.
Chaos (Woodbury, N.Y.)
|April 2, 2018
Summary
This study analyzes rotor-angle and voltage stability in power systems using a third-order model. It identifies conditions for stability and instability, offering a global map for two-bus systems.
Area of Science:
- Electrical Engineering
- Power Systems Analysis
Background:
- Rotor-angle and voltage stability are critical for reliable electric power system operation.
- Interactions between these two stability domains are complex and require detailed investigation.
Purpose of the Study:
- To investigate the interplay between rotor-angle and voltage stability in electric power systems.
- To establish necessary and sufficient conditions for system stability.
- To explore various pathways leading to system instability.
Main Methods:
- Utilized a third-order model incorporating classical power-swing equations and voltage dynamics.
- Performed local stability analysis to assess system behavior.
- Derived analytical solutions for a two-bus system to create a global stability map.
Main Results:
- Established necessary and sufficient conditions for the stability of the analyzed power system model.
- Identified and characterized different routes to system instability.
- Developed a comprehensive global stability map for the specific case of a two-bus system.
Conclusions:
- The study provides a deeper understanding of coupled rotor-angle and voltage dynamics.
- The derived stability conditions and maps are valuable for power system planning and operation.
- Findings contribute to enhancing the overall reliability and security of electric grids.
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