Impedance Modeling of Direct-drive Permanent Magnet Synchronous Generator in Complex Field and Its Feature Analysis Considering Frequency Coupling Characteristics

SU Chenbo; LIU Chongru; WANG Jinyuan; HAO Qi; DONG Haoyun

doi:10.7500/AEPS20230111003

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Impedance Modeling of Direct-drive Permanent Magnet Synchronous Generator in Complex Field and Its Feature Analysis Considering Frequency Coupling Characteristics

Basic Research | 更新时间：2025-06-16

- Impedance Modeling of Direct-drive Permanent Magnet Synchronous Generator in Complex Field and Its Feature Analysis Considering Frequency Coupling Characteristics
- Automation of Electric Power Systems Vol. 48, Issue 10, Pages: 118-128(2024)
- 作者机构：
  
  华北电力大学电气与电子工程学院，北京市 102206
- 作者简介：
- 基金信息：
  
  National Key R&D Program of China(2022YFB2402700)
- DOI：10.7500/AEPS20230111003
  CLC：
- Received：11 January 2023，
  
  Revised：2023-08-09，
  
  Published Online：27 February 2024，
  
  Published：25 May 2024
- 稿件说明：
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苏晨博,刘崇茹,王瑾媛等.考虑频率耦合特性的D-PMSG复数域阻抗建模及其特征分析[J].电力系统自动化,2024,48(10):118-128.

SU Chenbo,LIU Chongru,WANG Jinyuan,et al.Impedance Modeling of Direct-drive Permanent Magnet Synchronous Generator in Complex Field and Its Feature Analysis Considering Frequency Coupling Characteristics[J].Automation of Electric Power Systems,2024,48(10):118-128.
苏晨博,刘崇茹,王瑾媛等.考虑频率耦合特性的D-PMSG复数域阻抗建模及其特征分析[J].电力系统自动化,2024,48(10):118-128. DOI： 10.7500/AEPS20230111003.

SU Chenbo,LIU Chongru,WANG Jinyuan,et al.Impedance Modeling of Direct-drive Permanent Magnet Synchronous Generator in Complex Field and Its Feature Analysis Considering Frequency Coupling Characteristics[J].Automation of Electric Power Systems,2024,48(10):118-128. DOI： 10.7500/AEPS20230111003.

摘要

阻抗分析法因其简单有效被广泛用于含电力电子变换器的互联系统稳定性研究。然而，采用传统方法对频域序阻抗建模时，需通过非线性变换（Park变换及其反变换）进行坐标系转换，这会导致不同周期分量的卷积运算及相应的频移，其过程较为烦琐。针对上述问题，基于复向量时域微分算子，提出了永磁直驱同步发电机（D-PMSG）等效阻抗建模方法。该方法在时域周期系统稳定运行轨迹的邻域内直接进行小信号线性化，并采用指数旋转因子灵活反映系统受扰后的时变特性，结合时域微分算子等效表征互联系统控制环节的动态特性，避免了频域阻抗建模时坐标系的反复变换，大幅降低了解析建模的复杂度。此外，所提方法能够更加清晰地阐释互联系统受到扰动时D-PMSG并网逆变器产生频率耦合现象的物理意义；同时，能够说明基频电压初始相位对耦合分量相频特性的影响。最后，利用仿真验证了所提算法的有效性。

Abstract

Impedance analysis method is widely used for stability research of interconnected systems with power electronic converters due to its simplicity and effectiveness. However

when using traditional methods for the frequency-domain impedance modelling

nonlinear transformations (Park transform and its inverse transform) are required for the coordinate system transformation

which can lead to convolutional operations and corresponding frequency shifts of different periodic components

and the process is relatively cumbersome. This paper proposes an equivalent impedance modeling method of direct-drive permanent magnet synchronous generator (D-PMSG) based on time-domain differential operators of complex vectors to solve the above problems. This method directly linearizes small signals within the neighborhood of the stable operation trajectory of the time-domain periodic system

and the exponential rotation factor is used to flexibly reflect the time-varying characteristics of the system after disturbance. By combining time-domain differential operators to effectively characterize the dynamic characteristics of the control links in interconnected systems

the repeated transformation of the coordinate system during frequency-domain impedance modeling is avoided

and the complexity of analytical modeling is greatly reduced. In addition

the proposed method can more clearly explain the physical meaning of the frequency coupling phenomenon generated by the grid-connected inverter of the D-PMSG when the interconnected system is disturbed. At the same time

it can explain the impact of the initial phase of the fundamental voltage on the phase frequency characteristics of the coupling component. Finally

the effectiveness of the proposed algorithm is verified through simulation.

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