调制波幅值和频率高频干扰下并网变换器PWM幅频特性的多重傅里叶级数分析方法

崔越; 彭晗; 王思成

doi:10.13334/j.0258-8013.pcsee.241094

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调制波幅值和频率高频干扰下并网变换器PWM幅频特性的多重傅里叶级数分析方法

电力电子 | 更新时间：2026-02-05

- 调制波幅值和频率高频干扰下并网变换器PWM幅频特性的多重傅里叶级数分析方法
- Multiple Fourier Series Analysis Method for PWM Amplitude and Frequency Characteristics of Grid Converters Under High-frequency Interference of Modulation Waves' Amplitude and Frequency
- 中国电机工程学报 2025年45卷第11期页码：4447-4457
- 作者机构：
  
  强电磁工程与新技术国家重点实验室(华中科技大学电气与电子工程学院), 湖北省武汉市 430074
- 作者简介：
  
  [ "崔越(1998)，男，博士研究生，研究方向为电力电子化电力系统高频振荡动态分析，cuiyue@hust.edu.cn" ]
  彭晗(1984)，女，教授，博士生导师，研究方向为功率器件特性与驱动技术、基于能量收集的自供电传感技术等，pengh@hust.edu.cn
  [ "王思成(1995)，男，博士，研究方向为电力电子化电力系统小扰动动态分析，sicheng_wang@hust.edu.cn" ]
- 基金信息：
  
  国家自然科学基金项目(U23B6008);台达电力电子科教发展计划
- DOI：10.13334/j.0258-8013.pcsee.241094
  中图分类号： TM46
- 收稿：2024-05-14，
  
  网络出版：2024-11-05，
  
  纸质出版：2025-06-05
- 稿件说明：
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崔越, 彭晗, 王思成. 调制波幅值和频率高频干扰下并网变换器PWM幅频特性的多重傅里叶级数分析方法[J]. 中国电机工程学报, 2025,45(11):4447-4457.

Yue CUI, Han PENG, Sicheng WANG. Multiple Fourier Series Analysis Method for PWM Amplitude and Frequency Characteristics of Grid Converters Under High-frequency Interference of Modulation Waves' Amplitude and Frequency[J]. Proceedings of the CSEE, 2025, 45(11): 4447-4457.
崔越, 彭晗, 王思成. 调制波幅值和频率高频干扰下并网变换器PWM幅频特性的多重傅里叶级数分析方法[J]. 中国电机工程学报, 2025,45(11):4447-4457. DOI： 10.13334/j.0258-8013.pcsee.241094.

Yue CUI, Han PENG, Sicheng WANG. Multiple Fourier Series Analysis Method for PWM Amplitude and Frequency Characteristics of Grid Converters Under High-frequency Interference of Modulation Waves' Amplitude and Frequency[J]. Proceedings of the CSEE, 2025, 45(11): 4447-4457. DOI： 10.13334/j.0258-8013.pcsee.241094.

摘要

随着新能源发电和电力电子设备在电力系统中的渗透率逐步提高，变换器开关频率附近的高频谐波和间谐波在电网中越发显著，由此产生的波形畸变和振荡问题会严重影响电网的电能质量和运行稳定性。并网变换器采用脉宽调制(pulse width modulation，PWM)控制是导致电网中出现复杂频率谐波和间谐波的重要原因。掌握并网变换器的PWM幅值和频率特性对于研究电网电压/电流在异常频率下的波形畸变和振荡问题以及形成对应的抑制方法具有重要意义。为此，开展调制波幅值和频率干扰下的变换器PWM幅值和频率特性研究。基于调制波的幅值和频率干扰特性以及多元周期函数多重傅里叶级数分解的原理，提出多重傅里叶级数PWM分析方法，实现对由复杂频率分量构成的调制波和载波调制生成的PWM信号的准确建模和频谱分析；揭示PWM中基频、干扰频率和载波频率之间的耦合关系，明确PWM信号中高频谐波和间谐波分量的产生原因及幅值和频率特性与调制波、载波和干扰之间的关联；以降低计算复杂性和增强多重傅里叶级数法在PWM分析中的适用性为目标，提出一种简便的多重傅里叶级数系数计算方法；最后，通过仿真和实验验证所提方法的有效性。

Abstract

With increases of new energy generation and power electronic equipment in power system

harmonics and inter-harmonics with frequencies approaching converter switching frequencies have become increasingly prominent in the power grid. The resulting waveform distortion and oscillation would affect power quality and operation stability of the power grid. Pulse width modulation (PWM) control used for grid converters is an important reason for the occurrence of complex-frequency harmonics and inter-harmonics in the power grid. Knowing PWM amplitude and frequency characteristics of grid converters are significant for analyzing the waveform distortion and oscillation of the power grid voltage/current at abnormal frequencies

as well as for establishing corresponding suppression methods. Therefore

in this paper

a study on PWM amplitude and frequency characteristics of grid converters is carried out under the modulation wave amplitude and frequency interference. Based on the analysis of modulation wave characteristics with amplitude and frequency interference

as well as the multiple Fourier series decomposition principle of multivariable periodic function

a multiple Fourier series PWM analysis method is proposed

which achieves accurate PWM signal modeling and spectral analysis under modulation wave composed of complex frequency components. Coupling relationship among fundamental frequency

interference frequency

and carrier frequency in the PWM process is revealed

and the cause of high-frequency harmonic and inter-harmonic components in PWM signals

as well as correlations between their amplitude and frequency characteristics and the modulation wave

carrier

and interference is clarified. In order to reduce calculation complexity and enhance applicability of multiple Fourier series method to PWM modeling and analysis

a simple multiple Fourier series coefficient calculation method is proposed. Finally

effectiveness of proposed method is verified by simulation and experiment.

关键词

Keywords

references

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