Analysis and Suppression of Harmonic Instability for Grid-connected Inverter System Considering Characteristics of Long Transmission Cable

XIE Runsheng; ZHANG Guorong; XIE Bao

doi:10.7500/AEPS20230223004

您当前的位置：

首页 >

文章列表页 >

Analysis and Suppression of Harmonic Instability for Grid-connected Inverter System Considering Characteristics of Long Transmission Cable

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

- Analysis and Suppression of Harmonic Instability for Grid-connected Inverter System Considering Characteristics of Long Transmission Cable
- Automation of Electric Power Systems Vol. 48, Issue 2, Pages: 128-139(2024)
- 作者机构：
  
  1.合肥工业大学电气与自动化工程学院,安徽省合肥市 230009
  2.光伏系统教育部工程研究中心(合肥工业大学),安徽省合肥市 230009
- 作者简介：
- 基金信息：
  
  National Key R&D Program of China(2017YFB0903100);Sate Grid Corporation of China(521104170043)
- DOI：10.7500/AEPS20230223004
  CLC：
- Received：23 February 2023，
  
  Revised：2023-09-28，
  
  Published：25 January 2024
- 稿件说明：
移动端阅览
解润生,张国荣,解宝.考虑长距离输电缆特性的逆变器并网系统谐波不稳定分析及抑制[J].电力系统自动化,2024,48(2):128-139.

XIE Runsheng,ZHANG Guorong,XIE Bao.Analysis and Suppression of Harmonic Instability for Grid-connected Inverter System Considering Characteristics of Long Transmission Cable[J].Automation of Electric Power Systems,2024,48(2):128-139.
解润生,张国荣,解宝.考虑长距离输电缆特性的逆变器并网系统谐波不稳定分析及抑制[J].电力系统自动化,2024,48(2):128-139. DOI： 10.7500/AEPS20230223004.

XIE Runsheng,ZHANG Guorong,XIE Bao.Analysis and Suppression of Harmonic Instability for Grid-connected Inverter System Considering Characteristics of Long Transmission Cable[J].Automation of Electric Power Systems,2024,48(2):128-139. DOI： 10.7500/AEPS20230223004.

摘要

长距离输电缆(LTC)与并网逆变器交互作用易引发系统谐波不稳定的风险，且忽略线路频变特性可能会导致稳定性误判。文中计及输电线路的分布参数特性和频变特性，研究如何评估这类逆变器并网系统的稳定性。首先，基于矢量匹配法对含LTC的交流系统进行等值，同时考虑逆变器的内外环控制、锁相环、控制延时等环节，建立

旋转坐标系下逆变器并网系统高频状态空间模型；其次，采用参与因子分析方法辨识出导致谐波不稳定的关键影响环节，并基于根轨迹方法分析了LTC频变特性、延迟时间、控制器参数、电缆长度和电网阻抗对系统稳定性的影响；再次，提出了基于参数灵敏度分析和矩阵相似变换的系统稳定性改善方法，并对改进后系统的谐波稳定性进行分析；最后，基于RT-LAB构建硬件在环实验平台进行了验证，实验结果验证了理论分析的正确性。

Abstract

The interaction between the long transmission cable (LTC) and the grid-connected inverter can easily cause the risk of harmonic instability of the system. Ignoring the frequency-dependent characteristics of the line may lead to stability misjudgment. In order to evaluate the stability of the grid-connected inverter system

the distribution parameter characteristics and frequency-dependent characteristics of LTCs are taken into account in this paper. Firstly

the equivalence of the AC system is carried out based on the vector fitting method

and the high-frequency state-space model of the grid-connected inverter system in the

coordinate system is established with consideration of the inner and outer loop control

phase-locked loop and control delay. Secondly

the key influencing links leading to the harmonic instability are identified by using the participation factor analysis method. Meanwhile

the influences of the frequency-dependent characteristics of LTCs

delay time

controller parameters

cable length

and power grid impedance on the system harmonic stability are analyzed by using the root locus method. Thirdly

a method for improving the system stability is proposed based on the parametric sensitivity analysis and the matrix similarity transformation

and the harmonic stability of the improved system is analyzed. Finally

the verification is carried out on the RT-LAB based hardware-in-loop experimental platform

and the experimental results verify the correctness of theoretical analysis.

关键词

Keywords

references

卓振宇，张宁，谢小荣，等 . 高比例可再生能源电力系统关键技术及发展挑战［J］. 电力系统自动化， 2021 ， 45 （ 9 ）： 171 - 191 .

ZHUO Zhenyu ， ZHANG Ning ， XIE Xiaorong ， et al . Key technologies and developing challenges of power system with high proportion of renewable energy ［J］. Automation of Electric Power Systems ， 2021 ， 45 （ 9 ）： 171 - 191 .

O'MALLEY M . Editorial： towards 100% renewable energy system ［J］. IEEE Transactions on Power Systems ， 2022 ， 37 （ 4 ）： 3187 - 3189 .

EBRAHIMZADEH E ， BLAABJERG F ， WANG X F ， et al . Harmonic stability and resonance analysis in large PMSG-based wind power plants ［J］. IEEE Transactions on Sustainable Energy ， 2018 ， 9 （ 1 ）： 12 - 23 .

WANG X F ， BLAABJERG F . Harmonic stability in power electronic-based power systems： concept， modeling， and analysis ［J］. IEEE Transactions on Smart Grid ， 2019 ， 10 （ 3 ）： 2858 - 2870 .

吴翔宇，张晓红，许寅，等 . 微电网（群）宽频振荡分析和抑制研究进展与展望［J］. 电网技术， 2023 ， 47 （ 9 ）： 3727 - 3745 .

WU Xiangyu ， ZHANG Xiaohong ， XU Yin ， et al . Research progress and prospect of wide-band oscillations analysis and suppression for microgrid（clusters）［J］. Power System Technology ， 2023 ， 47 （ 9 ）： 3727 - 3745

TAO H D ， HU H T ， ZHU X J ， et al . Harmonic instability analysis and suppression method based on αβ - frame impedance for trains and network interaction system ［J］. IEEE Transactions on Energy Conversion ， 2019 ， 34 （ 2 ）： 1124 - 1134 .

PENG X H ， YANG H G . Stability analysis of multi-paralleled grid-connected inverters including the distribution parameter characteristics of transmission lines ［J］. CSEE Journal of Power and Energy Systems ， 2021 ， 7 （ 1 ）： 93 - 104 .

PENG X H ， YANG H G . Impedance-based stability criterion for the stability evaluation of grid-connected inverter systems with distributed parameter lines ［J］. CSEE Journal of Power and Energy Systems ， 2023 ， 9 （ 1 ）： 145 - 157 .

徐方维，陈锴，郑鸿儒，等 . 基于超越方程极点分布间接判定的分布式电站谐波不稳定分析方法［J/OL］. 电力自动化设备， 2023 ： 1 - 14 ［ 2023-07-23 ］. https：//kns.cnki.net/kcms/detail/32.1318.TM.20230420.1741.004.html https://kns.cnki.net/kcms/detail/32.1318.TM.20230420.1741.004.html .

XU Fangwei ， CHEN Kai ， ZHENG Hongru ， et al . Harmonic instability analysis method of distributed power plants based on indirect determination of pole distribution of transcendental equation ［J/OL］. Electric Power Automation Equipment ， 2023 ： 1 - 14 ［ 2023-07-23 ］. https：//kns.cnki.net/kcms/detail/32.1318.TM.20230420.1741.004.html https://kns.cnki.net/kcms/detail/32.1318.TM.20230420.1741.004.html .

LV X Q ， WANG X R ， CHE Y L ， et al . Eigenvalue-based harmonic instability analysis of electrical railway vehicle-network system ［J］. IEEE Transactions on Transportation Electrification ， 2019 ， 5 （ 3 ）： 727 - 744 .

郭春义，彭意，徐李清，等 . 考虑延时影响的MMC-HVDC系统高频振荡机理分析［J］. 电力系统自动化， 2020 ， 44 （ 22 ）： 119 - 126 .

GUO Chunyi ， PENG Yi ， XU Liqing ， et al . Analysis on high-frequency oscillation mechanism for MMC-HVDC system considering influence of time delay ［J］. Automation of Electric Power Systems ， 2020 ， 44 （ 22 ）： 119 - 126 .

WANG Y B ， WANG X F ， CHEN Z ， et al . Small-signal stability analysis of inverter-fed power systems using component connection method ［J］. IEEE Transactions on Smart Grid ， 2018 ， 9 （ 5 ）： 5301 - 5310 .

李云丰，贺之渊，庞辉，等 . 柔性直流输电系统高频稳定性分析及抑制策略（一）：稳定性分析［J］. 中国电机工程学报， 2021 ， 41 （ 17 ）： 5842 - 5856 .

LI Yunfeng ， HE Zhiyuan ， PANG Hui ， et al . High frequency stability analysis and suppression strategy of MMC-HVDC systems （part Ⅰ）： stability analysis ［J］. Proceedings of the CSEE ， 2021 ， 41 （ 17 ）： 5842 - 5856 .

WANG X F ， BLAABJERG F ， WU W M . Modeling and analysis of harmonic stability in an AC power-electronics-based power system ［J］. IEEE Transactions on Power Electronics ， 2014 ， 29 （ 12 ）： 6421 - 6432 .

WANG Y B ， WANG X F ， BLAABJERG F ， et al . Harmonic instability assessment using state-space modeling and participation analysis in inverter-fed power systems ［J］. IEEE Transactions on Industrial Electronics ， 2017 ， 64 （ 1 ）： 806 - 816 .

王惠泽，曹书豪，冯谟可，等 . 考虑参数频变特性的电力电缆改进贝杰龙模型［J/OL］. 中国电机工程学报， 2023 ： 1 - 11 ［ 2023-07-23 ］. https：//kns.cnki.net/kcms/detail/11.2107.tm.20230412 https://kns.cnki.net/kcms/detail/11.2107.tm.20230412 .

1702 . 006 . html .

WANG Huize ， CAO Shuhao ， FENG Moke ， et al . Improved bergeron model of power cable considering parameter frequency-dependent characteristics ［J/OL］. Proceedings of the CSEE ， 2023 ： 1 - 11 ［ 2023-07-23 ］. https：//kns.cnki.net/kcms/detail/11.2107.tm.20230412.1702.006.html https://kns.cnki.net/kcms/detail/11.2107.tm.20230412.1702.006.html .

满九方，谢小荣，唐健，等 . 适用于柔直系统高频谐振分析的输电线路模型［J］. 电网技术， 2021 ， 45 （ 5 ）： 1782 - 1789 .

MAN Jiufang ， XIE Xiaorong ， TANG Jian ， et al . Transmission line modeling for high-frequency resonance analysis of MMC-HVDC systems ［J］. Power System Technology ， 2021 ， 45 （ 5 ）： 1782 - 1789 .

ZHANG S ， JIANG S A ， LU X ， et al . Resonance issues and damping techniques for grid-connected inverters with long transmission cable ［J］. IEEE Transactions on Power Electronics ， 2014 ， 29 （ 1 ）： 110 - 120 .

满九方，谢小荣，陈垒，等 . 柔性直流输电系统高频振荡建模分析与抑制策略综述［J］. 中国电机工程学报， 2023 ， 43 （ 9 ）： 3308 - 3322 .

MAN Jiufang ， XIE Xiaorong ， CHEN Lei ， et al . Overview of modeling analysis and mitigation strategies of high-frequency resonance in MMC-HVDC systems ［J］. Proceedings of the CSEE ， 2023 ， 43 （ 9 ）： 3308 - 3322 .

CHEN Z Y ， LUO A ， HUANG X C . Euler’s formula-based stability analysis for wideband harmonic resonances ［J］. IEEE Transactions on Industrial Electronics ， 2020 ， 67 （ 11 ）： 9405 - 9417 .

高本锋，陈淑平，刘毅 . 光伏与LCC-HVDC系统的次同步振荡耦合路径及阻尼特性分析［J］. 电力系统自动化， 2022 ， 46 （ 24 ）： 66 - 75 .

GAO Benfeng ， CHEN Shuping ， LIU Yi . Analysis on coupling path and damping characteristics of sub-synchronous oscillation between photovoltaic and LCC-HVDC system ［J］. Automation of Electric Power Systems ， 2022 ， 46 （ 24 ）： 66 - 75 .

PAUL C R . Analysis of multiconductor transmission lines ［M］. New York， USA ： John Wiley & Sons ， 2007 .

姜云龙，司鑫尧，史鸿飞，等 . 弱电网下计及锁相环影响的并网逆变器稳定性提升方法［J］. 电力系统自动化， 2022 ， 46 （ 24 ）： 113 - 120 .

JIANG Yunlong ， SI Xinyao ， SHI Hongfei ， et al . Stability improvement method of grid-connected inverter considering phase-locked loop effect in weak grid ［J］. Automation of Electric Power Systems ， 2022 ， 46 （ 24 ）： 113 - 120 .

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Mechanism Analysis of Power Low-frequency Oscillations in Parallel System of Multiple Virtual Synchronous Generators

Improved Arm Average and State-space Models of Hybrid Modular Multilevel Converter

Related Author

LIU Yuxin

PENG Ke

ZHAO Zida

JIANG Yan

CAI Yuanxin

GUO Meng

HAO Quanrui

LI Dong

Related Institution

School of Electrical and Electronic Engineering, Shandong University of Technology

Key Laboratory of Power System Intelligent Dispatch and Control of Ministry of Education (Shandong University)

Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education(Shanghai Jiao Tong University)

NARI Group Corporation(State Grid Electric Power Research Institute)

China Electric Power Research Institute

⁰