Gray-box Wide Frequency Domain Matrix Model of Inverter for Harmonic Degradation Mechanism Analysis and Its Solution Method

Jianwen LI; Binyuan WU; Yonggang LI; Rong LI; Li YAN; Wei SUN

doi:10.7500/AEPS20200328001

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Gray-box Wide Frequency Domain Matrix Model of Inverter for Harmonic Degradation Mechanism Analysis and Its Solution Method

Application Research | 更新时间：2025-06-16

- Gray-box Wide Frequency Domain Matrix Model of Inverter for Harmonic Degradation Mechanism Analysis and Its Solution Method
- Automation of Electric Power Systems Vol. 44, Issue 18, Pages: 155-163(2020)
- 作者机构：
  
  1.新能源电力系统国家重点实验室（华北电力大学），河北省保定市 071000
  2.国网新源张家口风光储示范电站有限公司，河北省张家口市 075099
  3.国网河北省电力有限公司保定供电分公司，河北省保定市 071000
- 作者简介：
- 基金信息：
  
  Abstract:
  As a large number of commercial inverters with unknown parameters are connected to the power grid, the problem of harmonic degradation in the wide frequency domain is serious, which affects the normal operation of inverters and other equipment. Based on online data and numerical analysis methods, the construction and solving of the matrix model of harmonic source and harmonic coupling admittance for the inverter are the key steps to solve this problem. This paper proposes a gray-box wide frequency domain matrix model and a solution method based on numerical regression fitting. Firstly, the specific form of the matrix model is derived by using the relationship between voltage and current at the port in the frequency domain. Secondly, the stepwise regression algorithm is extended to the complex domain to solve the matrix model parameters. Finally, the validity of the model and algorithm is verified by a grid-connected inverter simulation system in MATLAB/Simulink. The results show that the proposed gray-box wide frequency domain matrix model and its solution method can quantify the role of own harmonic source of the inverter and the direct coupling and cross-coupling relationships between the background harmonic voltage and the grid-connected harmonic current, while provide a reference for analyzing the mechanism of harmonic degradation. The accuracy and solution time are better than other models and other multiple regression algorithms in the complex domain.
  Foundation:This work is supported by Hebei Provincial Natural Science Foundation of China;the Fundamental Research Funds for the Central Universities
- DOI：10.7500/AEPS20200328001
  CLC：
- Received：28 March 2020，
  
  Revised：2020-06-15，
  
  Published Online：29 July 2020，
  
  Published：25 September 2020
- 稿件说明：
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李建文,吴滨源,李永刚等.分析谐波劣化机理的逆变器灰箱宽频域矩阵模型及求解方法[J].电力系统自动化,2020,44(18):155-163.

LI Jianwen,WU Binyuan,LI Yonggang,et al.Gray-box Wide Frequency Domain Matrix Model of Inverter for Harmonic Degradation Mechanism Analysis and Its Solution Method[J].Automation of Electric Power Systems,2020,44(18):155-163.
李建文,吴滨源,李永刚等.分析谐波劣化机理的逆变器灰箱宽频域矩阵模型及求解方法[J].电力系统自动化,2020,44(18):155-163. DOI： 10.7500/AEPS20200328001.

LI Jianwen,WU Binyuan,LI Yonggang,et al.Gray-box Wide Frequency Domain Matrix Model of Inverter for Harmonic Degradation Mechanism Analysis and Its Solution Method[J].Automation of Electric Power Systems,2020,44(18):155-163. DOI： 10.7500/AEPS20200328001.

摘要

大量参数未知的商用逆变器接入电网，宽频域谐波劣化问题严重，影响自身及其他设备正常运行。基于在线数据和数值分析方法，建立和求解逆变器谐波源和谐波耦合导纳的矩阵模型是解决该问题的关键步骤。文中提出一种灰箱宽频域矩阵模型，并提出基于数值回归拟合的求解方法：首先，利用端口电压、电流频域关系对矩阵模型的具体形式进行推导；然后，将逐步回归算法推广到复数域以求解矩阵模型参数；最后，通过MATLAB/Simulink的逆变器并网仿真系统验证所提模型和算法的有效性。结果表明：所提灰箱宽频域矩阵模型及求解方法可量化逆变器自身谐波源作用、背景谐波电压与并网谐波电流之间的直接耦合及交叉耦合关系，为分析谐波劣化机理提供参考，其精度及求解用时均优于其他模型及其他复数域多元回归算法。

Abstract

As a large number of commercial inverters with unknown parameters are connected to the power grid

the problem of harmonic degradation in the wide frequency domain is serious

which affects the normal operation of inverters and other equipment. Based on online data and numerical analysis methods

the construction and solving of the matrix model of harmonic source and harmonic coupling admittance for the inverter are the key steps to solve this problem. This paper proposes a gray-box wide frequency domain matrix model and a solution method based on numerical regression fitting. Firstly

the specific form of the matrix model is derived by using the relationship between voltage and current at the port in the frequency domain. Secondly

the stepwise regression algorithm is extended to the complex domain to solve the matrix model parameters. Finally

the validity of the model and algorithm is verified by a grid-connected inverter simulation system in MATLAB/Simulink. The results show that the proposed gray-box wide frequency domain matrix model and its solution method can quantify the effect of the inverter as a harmonic source and the direct coupling and cross-coupling relationships between the background harmonic voltage and the grid-connected harmonic current

while provide a reference for analyzing the mechanism of harmonic degradation. The accuracy and solution time are better than other models and other multiple regression algorithms in the complex domain.

关键词

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references

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