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Reduced-order Modeling Method for Grid-connected DFIG System Based on Singular Perturbation Theory
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Hailiang XU  Senior Member, CPSS, Xiangyu CHEN, Han WU
Journal of Power Supply | 2025, 23(3) : 299 - 308
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Journal of Power Supply | 2025, 23(3): 299-308
• Modeling and Control •
Reduced-order Modeling Method for Grid-connected DFIG System Based on Singular Perturbation Theory
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Hailiang XU  Senior Member, CPSS, Xiangyu CHEN, Han WU
Affiliations
  • College of New Energy, China University of Petroleum (East China), Qingdao 266580, China
Published: 2025-05-30 doi: 10.13234/j.issn.2095-2805.2025.3.299
Outline
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The detailed model of a grid-connected doubly-fed induction generator (DFIG) system has characterristics such as a high order and nonlinearity, which brings great difficulties to system stability analysis and fault ride-through control. Although there have been many studies on the dimensionality reduction method for grid-connected DFIG system model, the number of model dimension is still high. A reduced-order modeling method based on the singular perturbation theory is proposed. First, the 12th-order detailed model of grid-connected DFIG system under weak grid is established, and its state space model is obtained by linearization. Then, based on the singular perturbation reduced-order theory and participation factor analysis, the state variables of the state space model are divided into multiple time scales, so as to separate the speed variables and deduce the 4th-order model of the system. A comparison of eigenvalues before and after the order reduction shows that the 4th-order model can well reflect the dominant dynamic characteristics of the full-order model while accurately reflecting the stability of grid-connected wind turbines under weak grid. Simulation and experimental results verify the accuracy of the reduced-order method as well as the effectiveness of the reduced-order model in stability analysis.

Doubly-fed induction generator (DFIG)  /  singular perturbation  /  multi-time scale  /  participation factor analysis
徐海亮中国电源学会高级会员, 陈翔宇, 吴瀚. 基于奇异摄动理论的双馈风机并网系统降维建模方法. 电源学报, 2025 , 23 (3) : 299 -308 . DOI: 10.13234/j.issn.2095-2805.2025.3.299
Hailiang XU, Xiangyu CHEN, Han WU. Reduced-order Modeling Method for Grid-connected DFIG System Based on Singular Perturbation Theory[J]. Journal of Power Supply, 2025 , 23 (3) : 299 -308 . DOI: 10.13234/j.issn.2095-2805.2025.3.299
Funding
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  • National Natural Science Foundation of China(52077222)
  • Shandong Provincial Natural Science Foundation(ZR2020ME202)
Appendix
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Year 2025 volume 23 Issue 3
44
7
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Article Info
doi: 10.13234/j.issn.2095-2805.2025.3.299
  • Receive Date：2022-06-15
  • Online Date：2026-10-26
  • Published：2025-05-30
Article Data
Affiliations
History
  • Received：2022-06-15
  • Revised：2022-08-02
  • Accepted：2022-08-08
Funding
National Natural Science Foundation of China(52077222)
Shandong Provincial Natural Science Foundation(ZR2020ME202)
Affiliations
    College of New Energy, China University of Petroleum (East China), Qingdao 266580, China
References
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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