Lagrangian Modelling and Motion Stability of Synchronous Generator-based Power Systems
This paper proposes to analyze the motion stability of synchronous generator-based power systems using a Lagrangian model derived in the configuration space of generalized position and speed. A Lagrangian model of synchronous generators is derived based on Lagrangian mechanics. The generalized poten...
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| Format: | Article |
| Language: | English |
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China electric power research institute
2025-01-01
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| Series: | CSEE Journal of Power and Energy Systems |
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| Online Access: | https://ieeexplore.ieee.org/document/10838272/ |
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| author | Feng Ji Lu Gao Chang Lin |
| author_facet | Feng Ji Lu Gao Chang Lin |
| author_sort | Feng Ji |
| collection | DOAJ |
| description | This paper proposes to analyze the motion stability of synchronous generator-based power systems using a Lagrangian model derived in the configuration space of generalized position and speed. A Lagrangian model of synchronous generators is derived based on Lagrangian mechanics. The generalized potential energy of inductors and the generalized kinetic energy of capacitors are defined. The mechanical and electrical dynamics can be modelled in a unified manner by constructing a Lagrangian function. Taking the first benchmark model of sub-synchronous oscillation as an example, a Lagragian model is constructed, and a numerical solution of the model is obtained to validate the accuracy and effectiveness of the model. Compared with the traditional EMTP model in PSCAD, the obtained Lagrangian model is able to accurately describe the electromagnetic transient process of the system. Moreover, the Lagrangian model is analytical, which enables the analysis of the motion stability of the system using Lyapunov's motion stability theory. The Lagrangian model can not only be used for discussing the power angle stability but also for analyzing the stability of node voltages and system frequency. It provides the feasibility for studying the unified stability of power systems. |
| format | Article |
| id | doaj-art-ea23cf071b3445fc9c494fac4c74469d |
| institution | OA Journals |
| issn | 2096-0042 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | China electric power research institute |
| record_format | Article |
| series | CSEE Journal of Power and Energy Systems |
| spelling | doaj-art-ea23cf071b3445fc9c494fac4c74469d2025-08-20T02:14:32ZengChina electric power research instituteCSEE Journal of Power and Energy Systems2096-00422025-01-01111132310.17775/CSEEJPES.2024.0078010838272Lagrangian Modelling and Motion Stability of Synchronous Generator-based Power SystemsFeng Ji0https://orcid.org/0000-0002-3796-3674Lu Gao1Chang Lin2China Electric Power Research Institute,State Key Laboratory of Advanced Transmission Technology,Beijing,China,102209China Electric Power Research Institute,State Key Laboratory of Advanced Transmission Technology,Beijing,China,102209China Electric Power Research Institute,State Key Laboratory of Advanced Transmission Technology,Beijing,China,102209This paper proposes to analyze the motion stability of synchronous generator-based power systems using a Lagrangian model derived in the configuration space of generalized position and speed. A Lagrangian model of synchronous generators is derived based on Lagrangian mechanics. The generalized potential energy of inductors and the generalized kinetic energy of capacitors are defined. The mechanical and electrical dynamics can be modelled in a unified manner by constructing a Lagrangian function. Taking the first benchmark model of sub-synchronous oscillation as an example, a Lagragian model is constructed, and a numerical solution of the model is obtained to validate the accuracy and effectiveness of the model. Compared with the traditional EMTP model in PSCAD, the obtained Lagrangian model is able to accurately describe the electromagnetic transient process of the system. Moreover, the Lagrangian model is analytical, which enables the analysis of the motion stability of the system using Lyapunov's motion stability theory. The Lagrangian model can not only be used for discussing the power angle stability but also for analyzing the stability of node voltages and system frequency. It provides the feasibility for studying the unified stability of power systems.https://ieeexplore.ieee.org/document/10838272/Lagrangian mechanicsLyapunov's first methodmotion stabilitysub-synchronous resonance |
| spellingShingle | Feng Ji Lu Gao Chang Lin Lagrangian Modelling and Motion Stability of Synchronous Generator-based Power Systems CSEE Journal of Power and Energy Systems Lagrangian mechanics Lyapunov's first method motion stability sub-synchronous resonance |
| title | Lagrangian Modelling and Motion Stability of Synchronous Generator-based Power Systems |
| title_full | Lagrangian Modelling and Motion Stability of Synchronous Generator-based Power Systems |
| title_fullStr | Lagrangian Modelling and Motion Stability of Synchronous Generator-based Power Systems |
| title_full_unstemmed | Lagrangian Modelling and Motion Stability of Synchronous Generator-based Power Systems |
| title_short | Lagrangian Modelling and Motion Stability of Synchronous Generator-based Power Systems |
| title_sort | lagrangian modelling and motion stability of synchronous generator based power systems |
| topic | Lagrangian mechanics Lyapunov's first method motion stability sub-synchronous resonance |
| url | https://ieeexplore.ieee.org/document/10838272/ |
| work_keys_str_mv | AT fengji lagrangianmodellingandmotionstabilityofsynchronousgeneratorbasedpowersystems AT lugao lagrangianmodellingandmotionstabilityofsynchronousgeneratorbasedpowersystems AT changlin lagrangianmodellingandmotionstabilityofsynchronousgeneratorbasedpowersystems |