Transactions of China Electrotechnical Society  2025, Vol. 40 Issue (5): 1411-1426    DOI: 10.19595/j.cnki.1000-6753.tces.240271
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Low Frequency Oscillation Analysis Method for Grid-Forming Doubly-Fed Wind Power Systems Based on Energy Structures
Sun Zhenglong, Hao Shuyu, Li Mingda, Pan Chao, Cai Guowei
Key Laboratory of Modern Power System Simulation and Control & Renewable Energy Technology Ministry of Education Northeast Electric Power University Jilin 132012 China

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Abstract  In large long-distance transmission system,weakly damped oscillations sometimes occur.The integration of Grid-forming doubly-fed wind turbines into the system plays an active role in supporting the power grid. As the capacity of Grid-forming doubly-fed wind turbines increases, the phenomenon of Grid-forming doubly-fed wind turbines participating in system interval oscillations will gradually become prominent.
Firstly, the energy structure of synchronous generator and Grid-forming doubly-fed wind turbine is derived from the energy of component ports, and the energy properties of the energy structure are classified, and the interaction relationship between component kinetic energy and port energy is analyzed.Secondly, the actual kinetic energy of the component is decomposed in time domain, and the incremental kinetic energy and mode kinetic energy are obtained.Then, from the Angle of eigenvalue analysis, kinetic energy increment and mode kinetic energy are analyzed, and the theoretical basis for analyzing the vibration degree and mode of each unit in the power system of Grid-forming doubly-fed wind turbine is explained.In addition, by using kinetic energy increment and mode kinetic energy, a composite index is established, which evaluates the degree of oscillation participation of each unit and group division in the system interval oscillation from the perspective of amplitude and phase. This index provides a quantitative basis for the analysis of low-frequency oscillation of power system with Grid-forming doubly-fed wind turbine.
The mode kinetic energy and kinetic energy increment curves of the dominant oscillation modes of each generator set are given in the four-generator two-area system. The index of oscillation participation is obtained based on kinetic energy, and the results of the index are consistent with the traditional eigenvalue analysis.At the same time, in the scenario of multiple Grid-forming doubly-fed wind turbines, the method is still applicable and has certain feasibility.This method can provide guidance for the suppression of low frequency oscillations in power system.
The conclusions of this paper are given as follows: (1) This paper established the structure energy of Grid-forming doubly-fed wind turbine and synchronous generator , and based on the interaction energy dissipation - transfer process to build the corresponding energy structure, and extract the transient kinetic energy,There is an interaction process between kinetic energy term and port energy. (2) Through the combined analysis of kinetic energy correlation terms and eigenvalue method, it is proved that the incremental amplitude of kinetic energy of synchronous generator and Grid-forming doubly-fed wind turbine can reflect the participation degree of each unit in the interval oscillation;The phase of the corresponding modal kinetic energy can reflect the modal information of each unit. (3) The method proposed in this paper can analyze the system interval oscillation online, without the use of additional electric gas, only the kinetic energy related items of each unit are extracted, and combined with the WAMS , the participation degree of each unit and the division of the group in the system interval oscillation mode can be realized.
Key wordsLow frequency oscillation      grid-forming doubly-fed wind turbine generators      incremental kinetic energy      modal kinetic energy     
Received: 19 February 2024     
PACS: TM71  
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Sun Zhenglong
Hao Shuyu
Li Mingda
Pan Chao
Cai Guowei
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Sun Zhenglong,Hao Shuyu,Li Mingda等. Low Frequency Oscillation Analysis Method for Grid-Forming Doubly-Fed Wind Power Systems Based on Energy Structures[J]. Transactions of China Electrotechnical Society, 2025, 40(5): 1411-1426.
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