Modeling and Frequency Coupling Analysis of PMSG Wind Power Generation System Based on Harmonic State Space

Yemin DAI; Hua GU; Shunfu LIN; Yiming YAO; Chitao LIU

doi:10.19725/j.cnki.1007-2322.2023.0102

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Modeling and Frequency Coupling Analysis of PMSG Wind Power Generation System Based on Harmonic State Space

New Energy Power System | 更新时间：2025-10-13

- Modeling and Frequency Coupling Analysis of PMSG Wind Power Generation System Based on Harmonic State Space
- Modern Electric Power Vol. 42, Issue 2, Pages: 247-255(2025)
- 作者机构：
  
  1.国网上海市电力公司青浦供电公司, 上海市青浦区 201799
  2.上海电力大学电气工程学院, 上海市杨浦区 200090
- 作者简介：
- 基金信息：
- DOI：10.19725/j.cnki.1007-2322.2023.0102
  CLC： TM313
- Received：20 March 2023，
  
  Accepted：27 September 2023，
  
  Published：10 April 2025
- 稿件说明：
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Yemin DAI, Hua GU, Shunfu LIN, et al. Modeling and Frequency Coupling Analysis of PMSG Wind Power Generation System Based on Harmonic State Space[J]. Modern electric power, 2025, 42(2): 247-255.
DOI：

Yemin DAI, Hua GU, Shunfu LIN, et al. Modeling and Frequency Coupling Analysis of PMSG Wind Power Generation System Based on Harmonic State Space[J]. Modern electric power, 2025, 42(2): 247-255. DOI： 10.19725/j.cnki.1007-2322.2023.0102.

摘要

随着“碳中和”、“碳达峰”目标提出及能源低碳转型等政策的推进，未来高比例新能源的接入使得电力系统电力电子化。高电力电子化的电力系统易发生频率耦合、谐波谐振等问题，严重时会引发系统不稳定。针对永磁同步风力发电系统，首先，基于谐波状态空间理论搭建了闭环模式下的风机并网系统小信号模型；然后，推导了永磁同步风力发电系统谐波状态空间矩阵，成功绘制并定性分析了系统频率耦合关系；最后通过仿真模型结果与数学模型结果对比有效验证了所建模型精确性。

Abstract

The proposal of "carbon neutral" and "carbon peak" goals

along with the implementation of policies such as low-carbon energy transformation

lead to an remarkable increase in the integration of new energy sources

thereby transforming the power system into a electronic one. The high power electronic power system is susceptible to frequency coupling

harmonic resonance and other issues that may result in system instability when severe. In view of this

in this paper the first step involves constructing a small signal model of wind turbine grid-connected system in closed-loop mode

based on the harmonic state space theory. Then

the harmonic state space matrix of permanent magnet synchronous wind power generation system was derived

followed by a successful establishment and qualitative analysis on the system frequency coupling relationship. The accuracy of the model is ultimately validated through a comparison between the simulation model results and the mathematical model results.

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Keywords

references

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