电源学报

基于奇异摄动理论的双馈风机并网系统降维建模方法

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徐海亮中国电源学会高级会员 , 陈翔宇 , 吴瀚

电源学报 | 建模与控制 2025,23(3): 299-308

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电源学报 |建模与控制 2025 , 23 (3) : 299 -308

基于奇异摄动理论的双馈风机并网系统降维建模方法

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徐海亮中国电源学会高级会员, 陈翔宇, 吴瀚

作者信息

中国石油大学（华东）新能源学院，青岛　266580

通讯作者:

徐海亮（1985—　），男，中国电源学会高级会员，通信作者，博士，教授。研究方向：新能源电力变换与微电网技术。E-mail：xuhl@upc.edu.cn。

作者简介:

陈翔宇（1999—　），男，硕士研究生。研究方向：风力发电技术。E-mail：chenxyupc@163.com。

吴瀚（1998—　），男，硕士研究生。研究方向：风力发电技术。E-mail：wuhanupc@163.com。

Reduced-order Modeling Method for Grid-connected DFIG System Based on Singular Perturbation Theory

Hailiang XU Senior Member, CPSS, Xiangyu CHEN, Han WU

Affiliations

College of New Energy, China University of Petroleum (East China), Qingdao 266580, China

出版时间: 2025-05-30 doi: 10.13234/j.issn.2095-2805.2025.3.299

文章导航

摘要

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双馈风机DFIG（doubly-fed induction generator）并网系统详细模型具有维数高、非线性等特点，给系统稳定性分析、故障穿越控制等带来较大困难。尽管目前已有诸多关于DFIG并网系统模型降维方法的研究，但其依然存在模型维数相对较高的问题。对此，提出1种基于奇异摄动理论的降维建模方法。首先，建立弱电网下DFIG并网系统的12维详细模型，通过线性化得到其状态空间模型；之后，基于奇异摄动降维理论结合参与因子分析，将各状态变量划分至多个时间尺度下，分离快慢变量，推演获得系统的4维模型。降维前、后的特征值对比表明，4维模型可以较好地反映详细模型的主导动态特性，同时能准确反映弱电网下的风机并网稳定性。仿真和实验结果验证了降维方法的正确性及降维模型在稳定性分析上的有效性。

关键词

双馈风力发电机 / 奇异摄动 / 多时间尺度 / 参与因子分析

Abstract

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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.

Key words

Doubly-fed induction generator (DFIG) / singular perturbation / multi-time scale / participation factor analysis

引用本文

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

基金

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国家自然科学基金资助项目(52077222)
山东省自然科学基金资助项目(ZR2020ME202)

参考文献

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2025年第23卷第3期

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文章信息

doi: 10.13234/j.issn.2095-2805.2025.3.299

接收时间：2022-06-15
首发时间：2026-10-26
出版时间：2025-05-30

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出版历史

收稿日期：2022-06-15
修回日期：2022-08-02
录用日期：2022-08-08

基金

National Natural Science Foundation of China(52077222)

国家自然科学基金资助项目(52077222)

Shandong Provincial Natural Science Foundation(ZR2020ME202)

山东省自然科学基金资助项目(ZR2020ME202)

作者信息

中国石油大学（华东）新能源学院，青岛　266580

通讯作者:

徐海亮（1985—　），男，中国电源学会高级会员，通信作者，博士，教授。研究方向：新能源电力变换与微电网技术。E-mail：xuhl@upc.edu.cn。

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https://castjournals.cast.org.cn/joweb/dyxb/CN/10.13234/j.issn.2095-2805.2025.3.299

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2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 total species (%)	属 Genus	种数 Number of species	占总种数比例 Percentage of total species (%)
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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