高占比换流器电网的电压-功率小扰动谐波潮流稳定分析理论：数学模型

季柯; 韩民晓; 刘崇茹; 朱永强

doi:10.13334/j.0258-8013.pcsee.232597

欢迎来到能源电力期刊网！

English Version 读者登录期刊登录

您当前的位置：

首页 >

文章列表页 >

高占比换流器电网的电压-功率小扰动谐波潮流稳定分析理论：数学模型

电力电子 | 更新时间：2026-02-05

- 高占比换流器电网的电压-功率小扰动谐波潮流稳定分析理论：数学模型
- Small-signal Harmonic Voltage-Power Flow Stability Criterion of Converter-based Grid: Mathematic Modelling
- 中国电机工程学报 2025年45卷第11期页码：4430-4446
- 作者机构：
  
  新能源电力系统国家重点实验室(华北电力大学), 北京市昌平区 102206
- 作者简介：
  
  [ "季柯(1993)，男，工学博士(后)，副教授，研究方向为柔性直流和新能源电力系统振荡分析与控制，kejihi@foxmail.com" ]
  [ "韩民晓(1963)，男，工学博士(后)，教授，研究方向为电力电子技术在电力系统中的应用等" ]
  [ "刘崇茹(1977)，女，工学博士，教授，研究方向为柔性直流系统及大规模新能源直流外送系统的稳定控制、建模仿真及工程应用等" ]
  [ "朱永强(1975)，男，工学博士，副教授，研究方向为柔新能源与分布式发电研究、能源互联网与综合能源系统研究、混合微电网的运行与控制、直流电网的暂态分析等" ]
- 基金信息：
  
  国家自然科学基金项目(青年科学基金)(52207099)
- DOI：10.13334/j.0258-8013.pcsee.232597
  中图分类号： TM72
- 收稿：2023-12-01，
  
  纸质出版：2025-06-05
- 稿件说明：
移动端阅览
季柯, 韩民晓, 刘崇茹, 等. 高占比换流器电网的电压-功率小扰动谐波潮流稳定分析理论：数学模型[J]. 中国电机工程学报, 2025,45(11):4430-4446.

Ke JI, Minxiao HAN, Chongru LIU, et al. Small-signal Harmonic Voltage-Power Flow Stability Criterion of Converter-based Grid: Mathematic Modelling[J]. Proceedings of the CSEE, 2025, 45(11): 4430-4446.
季柯, 韩民晓, 刘崇茹, 等. 高占比换流器电网的电压-功率小扰动谐波潮流稳定分析理论：数学模型[J]. 中国电机工程学报, 2025,45(11):4430-4446. DOI： 10.13334/j.0258-8013.pcsee.232597.

Ke JI, Minxiao HAN, Chongru LIU, et al. Small-signal Harmonic Voltage-Power Flow Stability Criterion of Converter-based Grid: Mathematic Modelling[J]. Proceedings of the CSEE, 2025, 45(11): 4430-4446. DOI： 10.13334/j.0258-8013.pcsee.232597.

摘要

随着双碳目标的迅速推进，电力系统中的换流器占比显著提升并导致系统对扰动的灵敏度增加。该特性一方面使电力系统具备更强的扰动处理和控制能力，另一方面也意味着如果系统的控制设计不当更加容易被扰动所影响并诱发谐振失稳的问题。目前，研究电力系统抗(小)扰动能力的主流方法是阻抗网络/节点导纳矩阵法，通过系统节点导纳矩阵的特征根即可辨识系统的谐振模式。然而，换流器引入的非线性频率耦合效应导致系统电压/电流在扰动激励下出现非同频分量，使得传统基于同频电压-电流关系的阻抗/导纳矩阵难以完整揭示系统的动态特性。通过进一步研究发现，换流器端口电压幅值/相位和有功/无功功率的扰动始终为同频关系。该文从电压-功率关系的视角出发，首先类比工频潮流给出电网电压-功率小扰动谐波潮流的定义和概念；接着，分别给出集总电路元件(电阻、电感、电容)和典型电力电子换流器的电压-功率谐波模型构建方法；然后，推导并构建高占比换流器电网电压-功率小扰动谐波潮流模型，用以揭示系统电压-功率之间的小扰动动力学作用关系；其次，给出电网电压-功率谐波潮流模型的电磁仿真测量方法，并以IEEE 9节点系统为例，在Matlab/Simulink仿真软件中对所提模型进行仿真验证。

Abstract

The transition to carbon-free targets rapidly increases the proportion of power converters in the power system

which makes the power system more sensitive to the perturbation. This feature not only enhances the power system's ability to handle and control perturbations

but also means that if the control design of the system is improper

the power system is more likely to be affected by disturbances and induce resonance instability. At present

the main method for investigating the anti-perturbation ability of the power system is impedance network/node admittance matrix method

which can identify the system resonance modes by the characteristic values of the node admittance matrix. However

the frequency coupling effect introduced by the power converters will lead to coupling between small-signal perturbations at different frequencies in voltages/currents

which makes it difficult to directly apply the traditional impedance/admittance matrices to fully reveal the power system dynamics. After further research

it was found that the disturbance of the voltage amplitude/phase and active/reactive power at the converter port is always in the same frequency relationship. Therefore

from the perspective of voltage-power relationship

this article first provides the definition and concept of small-signal voltage-power harmonic power flow model by comparing with the traditional power flow model at fundamental frequency. Subsequently

methods for constructing voltage-power harmonic models of lumped circuit components (resistors

inductors

capacitors) and typical power converters are presented. Then

the small-signal voltage-power harmonic power flow model of a high proportion converter-based grid is derived and constructed to reveal the dynamic relationship between system voltage and power. Moreover

an electromagnetic simulation measurement method for the small-signal voltage-power harmonic flow model is presented

and the proposed model is verified through simulation using the IEEE 9-node system as an example in Matlab/Simulink simulation software.

关键词

Keywords

references

丁明, 王伟胜, 王秀丽, 等 .. 大规模光伏发电对电力系统影响综述 [J ] .. 中国电机工程学报 ,, 2014 ,, 34 (( 1 ):): 1 -- 14 .. DOI: 10.13334/j.0258-8013.pcsee.2014.01.001 http://doi.org/10.13334/j.0258-8013.pcsee.2014.01.001 .

DING Ming, WANG Weisheng, WANG Xiuli, et al .. A review on the effect of large-scale PV generation on power systems [J ] . Proceedings of the CSEE , 2014 ,, 34 (( 1 ):): 1 -- 14 .. DOI: 10.13334/j.0258-8013.pcsee.2014.01.001 http://doi.org/10.13334/j.0258-8013.pcsee.2014.01.001 .

迟永宁, 刘燕华, 王伟胜, 等 .. 风电接入对电力系统的影响 [J ] .. 电网技术 ,, 2007 ,, 31 (( 3 ):): 77 -- 81 .. DOI: 10.3321/j.issn:1000-3673.2007.03.016 http://doi.org/10.3321/j.issn:1000-3673.2007.03.016 .

CHI Yongning, LIU Yanhua, WANG Weisheng, et al .. Study on impact of wind power integration on power system [J ] . Power System Technology , 2007 ,, 31 (( 3 ):): 77 -- 81 .. DOI: 10.3321/j.issn:1000-3673.2007.03.016 http://doi.org/10.3321/j.issn:1000-3673.2007.03.016 .

韩英铎, 严干贵, 姜齐荣, 等 .. 信息电力与FACTS及DFACTS技术 [J ] .. 电力系统自动化 ,, 2000 (. ( 19 ):): 1-7, 20 . DOI: 10.3321/j.issn:1000-1026.2000.19.001 http://doi.org/10.3321/j.issn:1000-1026.2000.19.001 .

HAN Yingduo, YAN Gangui, JIANG Qirong, et al .. Electric power in information society and FACTS & DFACTS [J ] . Automation of Electric Power Systems , 2000 (. ( 19 ):): 1-7, 20 . DOI: 10.3321/j.issn:1000-1026.2000.19.001 http://doi.org/10.3321/j.issn:1000-1026.2000.19.001 .

韩民晓, 肖湘宁, 徐永海 .. 柔性化供电技术 [J ] .. 电力系统自动化 ,, 2002 (. ( 8 ):): 1-5, 50 . DOI: 10.3321/j.issn:1000-1026.2002.08.001 http://doi.org/10.3321/j.issn:1000-1026.2002.08.001 .

HAN Minxiao, XIAO Xiangning, XU Yonghai .. Analysis and discussion of the sensitivity of main protection scheme for generators in three gorges power station , 2002 (. ( 8 ):): 1-5, 50 . DOI: 10.3321/j.issn:1000-1026.2002.08.001 http://doi.org/10.3321/j.issn:1000-1026.2002.08.001 .

汤广福, 贺之渊, 庞辉 .. 柔性直流输电工程技术研究、应用及发展 [J ] .. 电力系统自动化 ,, 2013 ,, 37 (( 15 ):): 3 -- 14 .. DOI: 10.7500/AEPS20130224003 http://doi.org/10.7500/AEPS20130224003 .

TANG Guangfu, HE Zhiyuan, PANG Hui .. Research, application and development of VSC-HVDC engineering technology [J ] . Automation of Electric Power Systems , 2013 ,, 37 (( 15 ):): 3 -- 14 .. DOI: 10.7500/AEPS20130224003 http://doi.org/10.7500/AEPS20130224003 .

汤广福, 庞辉, 贺之渊 .. 先进交直流输电技术在中国的发展与应用 [J ] .. 中国电机工程学报 ,, 2016 ,, 36 (( 7 ):): 1760 -- 1771 .. DOI: 10.13334/j.0258-8013.pcsee.2016.07.001 http://doi.org/10.13334/j.0258-8013.pcsee.2016.07.001 .

TANG Guangfu, PANG Hui, HE Zhiyuan .. R & D and application of advanced power transmission technology in China [J ] . Proceedings of the CSEE , 2016 ,, 36 (( 7 ):): 1760 -- 1771 .. DOI: 10.13334/j.0258-8013.pcsee.2016.07.001 http://doi.org/10.13334/j.0258-8013.pcsee.2016.07.001 .

马宁宁, 谢小荣, 贺静波, 等 .. 高比例新能源和电力电子设备电力系统的宽频振荡研究综述 [J ] .. 中国电机工程学报 ,, 2020 ,, 40 (( 15 ):): 4720 -- 4731 .. DOI: 10.13334/j.0258-8013.pcsee.191968 http://doi.org/10.13334/j.0258-8013.pcsee.191968 .

MA Ningning, XIE Xiaorong, HE Jingbo, et al .. Review of wide-band oscillation in renewable and power electronics highly integrated power systems [J ] . Proceedings of the CSEE , 2020 ,, 40 (( 15 ):): 4720 -- 4731 .. DOI: 10.13334/j.0258-8013.pcsee.191968 http://doi.org/10.13334/j.0258-8013.pcsee.191968 .

王伟胜, 张冲, 何国庆, 等 .. 大规模风电场并网系统次同步振荡研究综述 [J ] .. 电网技术 ,, 2017 ,, 41 (( 4 ):): 1050 -- 1060 ..

WANG Weisheng, ZHANG Chong, HE Guoqing, et al .. Overview of research on subsynchronous oscillations in large-scale wind farm integrated system [J ] . Power System Technology , 2017 ,, 41 (( 4 ):): 1050 -- 1060 ..

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 -- 5855 .. DOI: 10.13334/j.0258-8013.pcsee.200362 http://doi.org/10.13334/j.0258-8013.pcsee.200362 .

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 -- 5855 .. DOI: 10.13334/j.0258-8013.pcsee.200362 http://doi.org/10.13334/j.0258-8013.pcsee.200362 .

杜镇宇, 阳岳希, 季柯, 等 .. 张北柔直工程高频谐波振荡机理与抑制方法研究 [J ] .. 电网技术 ,, 2022 ,, 46 (( 8 ):): 3066 -- 3075 ..

DU Zhenyu, YANG Yuexi, JI Ke, et al .. High frequency harmonic resonance and suppression in Zhangbei project [J ] . Power System Technology , 2022 ,, 46 (( 8 ):): 3066 -- 3075 ..

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 -- 3742 ..

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 -- 3742 ..

孙华东, 王宝财, 李文锋, 等 .. 高比例电力电子电力系统频率响应的惯量体系研究 [J ] .. 中国电机工程学报 ,, 2020 ,, 40 (( 16 ):): 5179 -- 5191 .. DOI: 10.13334/j.0258-8013.pcsee.200493 http://doi.org/10.13334/j.0258-8013.pcsee.200493 .

SUN Huadong, WANG Baocai, LI Wenfeng, et al .. Research on inertia system of frequency response for power system with high penetration electronics [J ] . Proceedings of the CSEE , 2020 ,, 40 (( 16 ):): 5179 -- 5191 .. DOI: 10.13334/j.0258-8013.pcsee.200493 http://doi.org/10.13334/j.0258-8013.pcsee.200493 .

汤涌 .. 电力系统强迫功率振荡的基础理论 [J ] .. 电网技术 ,, 2006 ,, 30 (( 10 ):): 29 -- 33 ..

TANG Yong .. Fundamental theory of forced power oscillation in power system [J ] . Power System Technology , 2006 ,, 30 (( 10 ):): 29 -- 33 ..

倪以信, 王艳春, 张宝霖 .. 汽轮发电机轴系扭振的机理研究 [J ] .. 清华大学学报: 自然科学版 ,, 1992 ,, 32 (( 1 ):): 1 -- 8 ..

NI Yixin, WANG Yanchun, ZHANG Baolin .. A study of the principle of torsional oscillation of turbine-generator shafts [J ] . Journal of Tsinghua University: Science and Technology , 1992 ,, 32 (( 1 ):): 1 -- 8 ..

BUCHHAGEN C, GREVE M, MENZE A, et al. Harmonic stability-practical experience of a TSO[C]//Proceedings of the 15th International Workshop on Large-Scale Integration of Wind Power into Power Systems as well as on Transmission Networks for Offshore Wind Power Plants. Darmstadt: Energynautics GmbH, 2016.

国家电网公司特高压建设部. 渝鄂直流背靠背联网工程南通道OLT试验高频谐波问题研究报告[R]. 北京: 国家电网公司, 2018.

State Grid Corporation of China UHV Construction Department. Research Report on High-frequency Harmonic Issues in OLT Test of South Channel of Yubei DC Back-to-back Interconnection Project[R]. Beijing: State Grid Corporation of China, 2018(in Chinese).

李明节, 于钊, 许涛, 等 .. 新能源并网系统引发的复杂振荡问题及其对策研究 [J ] .. 电网技术 ,, 2017 ,, 41 (( 4 ):): 1035 -- 1042 ..

LI Mingjie, YU Zhao, XU Tao, et al .. Study of complex oscillation caused by renewable energy integration and its solution [J ] . Power System Technology , 2017 ,, 41 (( 4 ):): 1035 -- 1042 ..

CHI Yingning, TANG Bingjie, HU Jiabing, et al .. Overview of mechanism and mitigation measures on multi-frequency oscillation caused by large-scale integration of wind power [J ] .. CSEE Journal of Power and Energy Systems ,, 2019 ,, 5 (( 4 ):): 433 -- 443 ..

姜齐荣, 王玉芝 .. 电力电子设备高占比电力系统电磁振荡分析与抑制综述 [J ] .. 中国电机工程学报 ,, 2020 ,, 40 (( 22 ):): 7185 -- 7200 .. DOI: 10.13334/j.0258-8013.pcsee.200457 http://doi.org/10.13334/j.0258-8013.pcsee.200457 .

JIANG Qirong, WANG Yuzhi .. Overview of the analysis and mitigation methods of electromagnetic oscillations in power systems with high proportion of power electronic equipment [J ] . Proceedings of the CSEE , 2020 ,, 40 (( 22 ):): 7185 -- 7200 .. DOI: 10.13334/j.0258-8013.pcsee.200457 http://doi.org/10.13334/j.0258-8013.pcsee.200457 .

CECATI F, ZHU Rongwu, LISERRE M, et al .. Nonlinear modular state-space modeling of power-electronics-based power systems [J ] .. IEEE Transactions on Power Electronics ,, 2022 ,, 37 (( 5 ):): 6102 -- 6115 ..

鲁晓军, 林卫星, 文劲宇, 等 .. 直流电网模块式小信号建模方法 [J ] .. 中国电机工程学报 ,, 2016 ,, 36 (( 11 ):): 2880 -- 2889 .. DOI: 10.13334/j.0258-8013.pcsee.2016.11.003 http://doi.org/10.13334/j.0258-8013.pcsee.2016.11.003 .

LU Xiaojun, LIN Weixing, WEN Jjingyu, et al .. Modularized small signal modelling method for DC grid [J ] . Proceedings of the CSEE , 2016 ,, 36 (( 11 ):): 2880 -- 2889 .. DOI: 10.13334/j.0258-8013.pcsee.2016.11.003 http://doi.org/10.13334/j.0258-8013.pcsee.2016.11.003 .

WANG Xiongfei, BLAABJARG F .. Harmonic stability in power electronic-based power systems: concept, modeling, and analysis [J ] .. IEEE Transactions on Smart Grid ,, 2019 ,, 10 (( 3 ):): 2858 -- 2870 .. DOI: 10.1109/TSG.2018.2812712 http://doi.org/10.1109/TSG.2018.2812712 .

SUN Jian .. Frequency-domain stability criteria for converter-based power systems [J ] .. IEEE Open Journal of Power Electronics ,, 2022 ,, 3 , 222 -- 254 ..

WEN Bo, BOROYEVICH D, BURGOS R, et al .. Small-signal stability analysis of three-phase AC systems in the presence of constant power loads based on measured d - q frame impedances [J ] .. IEEE Transactions on Power Electronics ,, 2015 ,, 30 (( 10 ):): 5952 -- 5963 ..

张东辉, 陈新 .. 基于阻抗视角的新能源发电系统宽频振荡抑制技术综述 [J ] .. 中国电机工程学报 ,, 2024 ,, 44 (( 24 ):): 9672 -- 9690 .. DOI: 10.13334/j.0258-8013.pcsee.231365 http://doi.org/10.13334/j.0258-8013.pcsee.231365 .

ZHANG Donghui, CHEN Xin .. Overview of broadband oscillation mitigation of new energy generation power system based on impedance perspective [J ] . Proceedings of the CSEE , 2024 ,, 44 (( 24 ):): 9672 -- 9690 .. DOI: 10.13334/j.0258-8013.pcsee.231365 http://doi.org/10.13334/j.0258-8013.pcsee.231365 .

JI Ke, TANG Guangfu, YANG Jie, et al .. Harmonic stability analysis of MMC-based DC system using DC impedance model [J ] .. IEEE Journal of Emerging and Selected Topics in Power Electronics ,, 2020 ,, 8 (( 2 ):): 1152 -- 1163 ..

XU W, HUANG Zhenyu, CUI Yu, et al .. Harmonic resonance mode analysis [J ] .. IEEE Transactions on Power Delivery ,, 2005 ,, 20 (( 2 ):): 1182 -- 1190 ..

ZHAN Ying, XIE Xiaorong, WANG Yang .. Impedance network model based modal observability and controllability analysis for renewable integrated power systems [J ] .. IEEE Transactions on Power Delivery ,, 2021 ,, 36 (( 4 ):): 2025 -- 2034 ..

ZHANG Haitao, WANG Xiuli, MEHRABANKHOMARTASH M, et al .. Harmonic stability assessment of multiterminal DC (MTDC) systems based on the hybrid AC/DC admittance model and determinant-based GNC [J ] .. IEEE Transactions on Power Electronics ,, 2022 ,, 37 (( 2 ):): 1653 -- 1665 ..

CUI Yu, XU W .. Harmonic resonance mode analysis using real symmetrical nodal matrices [J ] .. IEEE Transactions on Power Delivery ,, 2007 ,, 22 (( 3 ):): 1989 -- 1990 ..

CESPEDES M, SUN Jian .. Impedance modeling and analysis of grid-connected voltage-source converters [J ] .. IEEE Transactions on Power Electronics ,, 2014 ,, 29 (( 3 ):): 1254 -- 1261 ..

王赟程, 陈新, 陈杰, 等 .. 基于谐波线性化的三相LCL型并网逆变器正负序阻抗建模分析 [J ] .. 中国电机工程学报 ,, 2016 ,, 36 (( 7 ):): 1915 -- 1924 .. DOI: 10.13334/j.0258-8013.pcsee.152540 http://doi.org/10.13334/j.0258-8013.pcsee.152540 .

WANG Yun, CHEN Xin, CHEN Jie, et al .. Analysis of positive-sequence and negative-sequence impedance modeling of three-phase LCL-type grid-connected inverters based on harmonic linearization [J ] . Proceedings of the CSEE , 2016 ,, 36 (( 7 ):): 1915 -- 1924 .. DOI: 10.13334/j.0258-8013.pcsee.152540 http://doi.org/10.13334/j.0258-8013.pcsee.152540 .

LYU J, ZHANG Xin, CAI Xu, et al .. Harmonic state-space based small-signal impedance modeling of a modular multilevel converter with consideration of internal harmonic dynamics [J ] .. IEEE Transactions on Power Electronics ,, 2019 ,, 34 (( 3 ):): 2134 -- 2148 ..

LIU Huakun, XIE Xiaorong, ZHANG Chuanyu, et al .. Quantitative SSR analysis of series-compensated DFIG-Based wind farms using aggregated RLC circuit model [J ] .. IEEE Transactions on Power Systems ,, 2017 ,, 32 (( 1 ):): 474 -- 483 ..

ZHAN Ying, XIE Xiaorong, LIU Huakun, et al .. Frequency-domain modal analysis of the oscillatory stability of power systems with high-penetration renewables [J ] .. IEEE Transactions on Sustainable Energy ,, 2019 ,, 10 (( 3 ):): 1534 -- 1543 ..

BAKHSHIZADEH M K, WANG Xiongfei, BLAABJERG F, et al .. Couplings in phase domain impedance modeling of grid-connected converters [J ] .. IEEE Transactions on Power Electronics ,, 2016 ,, 31 (( 10 ):): 6792 -- 6796 ..

RYGG A, MOLINAS M, ZHANG Chen, et al .. A modified sequence-domain impedance definition and its equivalence to the dq-domain impedance definition for the stability analysis of AC power electronic systems [J ] .. IEEE Journal of Emerging and Selected Topics in Power Electronics ,, 2016 ,, 4 (( 4 ):): 1383 -- 1396 ..

邹小明, 杜雄, 王国宁, 等 .. 三相并网逆变器频率耦合机理分析及稳定性判定 [J ] .. 电力系统自动化 ,, 2018 ,, 42 (( 18 ):): 57 -- 63 ..

ZOU Xiaoming, DU Xiong, WANG Guoning, et al .. Frequency coupling mechanism analysis and stability judgement for three-phase grid-connected inverter [J ] . Automation of Electric Power Systems , 2018 ,, 42 (( 18 ):): 57 -- 63 ..

XU Yunyang, NIAN Heng, WANG Tao, et al .. Frequency coupling characteristic modeling and stability analysis of doubly fed induction generator [J ] .. IEEE Transactions on Energy Conversion ,, 2018 ,, 33 (( 3 ):): 1475 -- 1486 ..

ZHU Shu, QIN Liang, LIU Kaipei, et al .. Impedance modeling of modular multilevel converter in D-Q and modified sequence domains [J ] .. IEEE Journal of Emerging and Selected Topics in Power Electronics ,, 2020 ,, 10 (( 4 ):): 4361 -- 4382 ..

DONG Wei, XIN Huanhai, WU Di, et al .. Small signal stability analysis of multi-infeed power electronic systems based on grid strength assessment [J ] .. IEEE Transactions on Power Systems ,, 2019 ,, 34 (( 2 ):): 1393 -- 1403 ..

ZHANG Chen, MOLINAS M, RYGG A, et al .. Impedance-based analysis of interconnected power electronics systems: impedance network modeling and comparative studies of stability criteria [J ] .. IEEE Journal of Emerging and Selected Topics in Power Electronics ,, 2020 ,, 8 (( 3 ):): 2520 -- 2533 ..

徐政 .. 频率耦合阻抗模型的性质及其适用性分析 [J ] .. 高电压技术 ,, 2023 ,, 49 (( 10 ):): 4058 -- 4068 ..

XU Zheng .. Analysis of the properties and applicability of the frequency coupling impedance model [J ] . High Voltage Engineering , 2023 ,, 49 (( 10 ):): 4058 -- 4068 ..

纪锋, 高路, 林畅 .. 三相交流系统动力学及VSC接入问题研究 [J ] .. 中国电机工程学报 ,, 2022 ,, 42 (( 6 ):): 2286 -- 2297 .. DOI: 10.13334/j.0258-8013.pcsee.210027 http://doi.org/10.13334/j.0258-8013.pcsee.210027 .

JI Feng, GAO Lu, LIN Chang .. Dynamics of three phase AC system and VSC access problem research [J ] . Proceedings of the CSEE , 2022 ,, 42 (( 6 ):): 2286 -- 2297 .. DOI: 10.13334/j.0258-8013.pcsee.210027 http://doi.org/10.13334/j.0258-8013.pcsee.210027 .

万民惠, 袁小明, 胡家兵 .. 面向系统电压动力学演化过程分析的电力电子并网设备内电势幅值运动机制研究 [J ] .. 中国电机工程学报 ,, 2023 ,, 43 (( 19 ):): 7592 -- 7604 .. DOI: 10.13334/j.0258-8013.pcsee.221213 http://doi.org/10.13334/j.0258-8013.pcsee.221213 .

WAN Minhui, YUAN Xiaoming, HU Jiabing .. Motion mechanism of internal voltage amplitude of power electronic equipment for system voltage dynamical evolution analysis [J ] . Proceedings of the CSEE , 2023 ,, 43 (( 19 ):): 7592 -- 7604 .. DOI: 10.13334/j.0258-8013.pcsee.221213 http://doi.org/10.13334/j.0258-8013.pcsee.221213 .

辛焕海, 李子恒, 董炜等 .. 三相变流器并网系统的广义阻抗及稳定判据 [J ] .. 中国电机工程学报 ,, 2017 ,, 37 (( 5 ):): 1277 -- 1292 .. DOI: 10.13334/j.0258-8013.pcsee.162538 http://doi.org/10.13334/j.0258-8013.pcsee.162538 .

XIN Huanhai, LI Ziheng, DONG Wei, et al .. Generalized-impedance and stability criterion for grid-connected converters [J ] . Proceedings of the CSEE , 2017 ,, 37 (( 5 ):): 1277 -- 1292 .. DOI: 10.13334/j.0258-8013.pcsee.162538 http://doi.org/10.13334/j.0258-8013.pcsee.162538 .

詹长江, 吴恒, 王雄飞, 等 .. 构网型变流器稳定性研究综述 [J ] .. 中国电机工程学报 ,, 2023 ,, 43 (( 6 ):): 2339 -- 2358 .. DOI: 10.13334/j.0258-8013.pcsee.221995 http://doi.org/10.13334/j.0258-8013.pcsee.221995 .

ZHAN Changjiang, WU Heng, WANG Xiongfei, et al .. An overview of stability studies of grid-forming voltage source converters [J ] . Proceedings of the CSEE , 2023 ,, 43 (( 6 ):): 2339 -- 2358 .. DOI: 10.13334/j.0258-8013.pcsee.221995 http://doi.org/10.13334/j.0258-8013.pcsee.221995 .

韩民晓, 范溢文, 刘金峻, 等 .. 换流器型电网的理念与探索 [J ] .. 电网技术 ,, 2023 ,, 47 (( 2 ):): 539 -- 552 ..

HAN Minxiao, FAN Yiwen, LIU Jinjun, et al .. Concept and Practice of Converter-based Grid [J ] . Power System Technology , 2023 ,, 47 (( 2 ):): 539 -- 552 ..

ZHANG Lidong, HARNEFORS L, NEE H P .. Power-synchronization control of grid-connected voltage-source converters [J ] .. IEEE Transactions on Power Systems ,, 2010 ,, 25 (( 2 ):): 809 -- 820 ..

YANG Ziqian, MEI Cong, CHENG Shijie, et al .. Comparison of impedance model and amplitude-phase model for power-electronics-based power system [J ] .. IEEE Journal of Emerging and Selected Topics in Power Electronics ,, 2020 ,, 8 (( 3 ):): 2546 -- 2558 ..

JI Ke .. Harmonic power modeling for converter-driven stability study [J ] .. IEEE Transactions on Power Delivery ,, 2023 ,, 38 (( 6 ):): 3968 -- 3979 ..

浏览量

127

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

基于改进自律分散控制的换流器型电网频率/电压调整与功率分配策略

基于Brauer定理的多变流器并网系统小干扰稳定性分析