Improved Harmonic State Space Modeling for Dual-terminal LCC-HVDC Systems Considering Time Delay

王顺亮; 刘海军; 马俊鹏; 谢洋; 李永琪; 赵远; 彭茂兰

doi:10.19725/j.cnki.1007-2322.2023.0385

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Improved Harmonic State Space Modeling for Dual-terminal LCC-HVDC Systems Considering Time Delay

更新时间：2026-02-02

- Improved Harmonic State Space Modeling for Dual-terminal LCC-HVDC Systems Considering Time Delay
- Vol. 43, Issue 1, Pages: 10-19(2026)
- 作者机构：
  
  1. 四川大学电气工程学院,四川省,成都市,610065
  2. 中国南方电网有限责任公司超高压输电公司,广东省,广州市,510663
- 作者简介：
- 基金信息：
- DOI：10.19725/j.cnki.1007-2322.2023.0385
  CLC： 1
- Published：2026
- 稿件说明：
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王顺亮, 刘海军, 马俊鹏, et al. Improved Harmonic State Space Modeling for Dual-terminal LCC-HVDC Systems Considering Time Delay[J]. 2026, 43(1): 10-19.
DOI：

王顺亮, 刘海军, 马俊鹏, et al. Improved Harmonic State Space Modeling for Dual-terminal LCC-HVDC Systems Considering Time Delay[J]. 2026, 43(1): 10-19. DOI： 10.19725/j.cnki.1007-2322.2023.0385.

摘要

随着电网换相型高压直流输电(line commutated converter based high voltage direct current，LCC-HVDC)技术的广泛应用，交直流混联电网的谐波交互问题愈加复杂，建立LCC-HVDC小信号模型是分析换流器交直流谐波耦合特性的重要手段。为此，基于谐波状态空间理论(harmonic state space

HSS)建立双端12脉动LCC-HVDC小信号模型，不仅考虑了LCC谐波传递特性，还考虑了换流变压器联结方式、控制链路延时等因素的影响。采用模块化思想分别建立各子系统谐波状态空间模型，通过接口矩阵连接为整体，使得LCC的谐波状态空间建模在易于扩展的同时，提高了精确度。最后，给出交直流谐波传递的具体表达式，并通过PSCAD仿真验证模型的准确性。所建模型不仅为后续扩展或接入更为复杂的系统奠定了基础，还可应用于双端LCC系统谐波交互稳定性评估和系统参数优化设计。

Abstract

With the widespread application of line-commutated-converter based high voltage direct current (LCC-HVDC) technology

the harmonic interaction issue of AC-DC hybrid power grid is becoming more and more serious. The establishment of an LCC-HVDC small signal model is an essential approach to analyze the AC-DC harmonic coupling characteristics of the converter. The influence of harmonics on the LCC-HVDC system is analyzed by constructing a small-signal model of dual-terminal 12-pulse LCC-HVD based on the harmonic state space (HSS) theory. This model not only takes into account the LCC harmonic transfer characteristics and the connection method of converter transformers

but also considers the influence of time delay on the dual-terminal LCC system. The modeling process is simplified based on the idea of modularization

so that the harmonic state space modeling is easier to expand

thereby improving the accuracy of small-signal modeling for the dual-terminal LCC system. The specific expression of AC and DC harmonic transfer is provided and the accuracy of the proposed model is verified through simulation. The proposed model lays a solid foundation for both subsequent expansion or access to more complex system

as well as the interaction stability analysis and parameter design of the dual-terminal LCC system.

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references

TANG Guangfu, PANG Hui, HE Zhiyuan. RD and application of advanced power transmission technology in China[J]. Proceedings of the CSEE, 2016, 36(7): 1760−1771(in Chinese).

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.

JIA Qingyu, BIAN Xiaoyan, ZONG Xiuhong. Small signal stability analysis and improvement of hybrid AC/DC system based on probability method[J]. Modern Electric Power, 2018, 35(3): 16−23(in Chinese).

贾庆宇, 边晓燕, 宗秀红. 基于概率法的交直流混联系统小干扰稳定性分析与改善[J]. 现代电力, 2018, 35(3): 16−23.

WANG Jinning, WANG Lei, HAN Xiaoqing, et al . Analysis on AC/DC harmonic coupling characteristics of converter based on harmonic state space modeling[J ] . Automation of Electric Power Systems, 2020, 44(4): 159−167(in Chinese).

王晋宁, 王磊, 韩肖清, 等. 基于谐波状态空间建模的变换器交直流谐波耦合特性分析[J]. 电力系统自动化, 2020, 44(4): 159−167.

CHEN Qing, FAN Dongchen, WANG Chenqing, et al . Small signal model and DC side low frequency oscillation analysis of AC/DC distribution network[J ] . Electric Power Engineering Technology, 2022, 41(1): 117−125(in Chinese).

陈庆, 范栋琛, 王晨清, 等. 交直流配电网小信号模型和直流侧低频振荡分析[J]. 电力工程技术, 2022, 41(1): 117−125.

YANG Shuo, GUO Chunyi, ZHANG Jiaqing, et al . Impact of time-delay on small signal stability of LCC-HVDC system and its mechanis m analysis[J ] . Proceedings of the CSEE, 2021, 41(S01): 10(in Chinese).

杨硕, 郭春义, 张加卿, 等. 控制链路延时对LCC-HVDC系统小信号稳定性的影响及机理分析[J]. 中国电机工程学报, 2021, 41(S01): 10.

HE Yangyang, ZHENG Xiaodong, TAI Nengling, et al . A review of modeling methods for LCC-HVDC converter in AC/DC hybrid power grid[J ] . Proceedings of the CSEE, 2019, 39(11): 3119−3130(in Chinese).

贺杨烊, 郑晓冬, 邰能灵, 等. 交直流混联电网LCC-HVDC换流器建模方法综述[J]. 中国电机工程学报, 2019, 39(11): 3119−3130.

LI Zhiyu, LI Huan, WEI Wei, et al . LCC-HVDC small signal modeling method considering voltage variation[J ] . Modern Electric Power, 2022, 39(3): 262−269(in Chinese).

李至峪, 李欢, 魏伟, 等. 考虑电压动态过程的含电网换相换流器的高压直流输电小信号建模方法[J]. 现代电力, 2022, 39(3): 262−269.

WANG Ziyi, XIAO Huafeng, GAO Bo, et al . Modeling method of LCC-HVDC considering fault state[J ] . Electric Power Engineering Technology, 2021, 40(5): 78−86(in Chinese).

王梓懿, 肖华锋, 高博, 等. 考虑故障状态的LCC-HVDC建模方法研究[J]. 电力工程技术, 2021, 40(5): 78−86.

GUO Chunyi, NING Linru, WANG Hongfu, et al . Switching-function based dynamic model of LCC-HVDC station and small signal stability analysis[J ] . Power System Technology, 2017, 41(12): 3862−3870(in Chinese).

郭春义, 宁琳如, 王虹富, 等. 基于开关函数的LCC-HVDC换流站动态模型及小干扰稳定性[J]. 电网技术, 2017, 41(12): 3862−3870.

OSAUSKAS C, WOOD A. Small-signal dynamic modeling of HVDC systems[J]. IEEE Transactions on Power Delivery, 2003, 18(1): 220−225.

KARAWITA C, ANNAKKAGE U D. Multi-infeed HVDC interaction studies using small-signal stability assessment[J]. IEEE Transactions on Power Delivery, 2009, 24(2): 910−918.

ZHEN Zijing, DU Wenjuan, WANG Haifeng. Small signal stability analysis of multi-infeed HVDC system[J]. Southern Power System Technology, 2018, 12(11): 29−36(in Chinese).

甄自竞, 杜文娟, 王海风. 多馈入高压直流输电系统小干扰稳定分析[J]. 南方电网技术, 2018, 12(11): 29−36.

ZHANG Haichuan, WANG Shunliang, LIU Tianqi, et al . Matrix modeling of modular multilevel converter considering multi harmonic coupling of AC and DC[J ] . Electrical Measurement Instrum entation, 2022, 59(05): 102−108(in Chinese).

张海川, 王顺亮, 刘天琪, 等. 考虑交直流多谐波耦合的模块化多电平换流器矩阵建模[J]. 电测与仪表, 2022, 59(05): 102−108.

LYU J, ZHANG X, CAI X, 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 Xiaolin, WANG Shunliang, MA Junpeng, et al . Modeling for DC side impedance of modular multilevel converter based on harmonic state space[J ] . Power System Technology, 2021, 45(08): 3173−3180(in Chinese).

刘小林, 王顺亮, 马俊鹏, 等. 基于谐波状态空间的模块化多电平换流器直流侧改进建模[J]. 电网技术, 2021, 45(08): 3173−3180.

HU L, YACAMINI R. Harmonic transfer through converters and HVDC links[J]. IEEE Transactions on Power Electronics, 1992, 7(3): 514−525.

QI Qingru, JIAO Lianwei, YAN Zheng, et al . Dynamic phasor modeling and simulation of HVDC transmission[J ] . Proceedings of the CSEE, 2003, 23(12): 31−35(in Chinese).

戚庆茹, 焦连伟, 严正, 等. 高压直流输电动态相量建模与仿真[J]. 中国电机工程学报, 2003, 23(12): 31−35.

CHEN Daizhong, WANG Shunliang, JIAO Ning, et al . Research on harmonic transfer of grid-commutated converter based on dynamic phasor method[J ] . Proceedings of the CSEE, 2021, 41(12): 4250−4261(in Chinese).

陈代忠, 王顺亮, 焦宁, 等. 基于动态相量法的电网换相换流器谐波传递研究[J]. 中国电机工程学报, 2021, 41(12): 4250−4261.

WERELEY N M. Analysis and control of linear periodically time varying systems[D]. Cambridge: Massachusetts Institute of Technology, 1991.

KWON J B, WANG X, BLAABJERG F, et al . Harmonic interaction analysis in a grid-connected converter using harmonic state-space (HSS) modeling[J ] . IEEE Transactions on Power Electronics, 2017, 32(9): 6823−6835.

MEI Nian, YIN Shiyuan, WEI Zheng, et al . Small-signal modeling and stability analysis of MMC considering internal harmonic interactions[J ] . Power System Technology, 2019, 43(12): 4495−4501(in Chinese).

梅念, 尹诗媛, 魏争, 等. 考虑内部谐波耦合特性的MMC小信号建模及稳定性分析[J]. 电网技术, 2019, 43(12): 4495−4501.

LÜ Jing, CAI Xu, ZHANG Xin, et al . Harmonic state space modeling and analysis of modular multilevel converter[C ] //IEEE International Power Electronics and Application Conference and Exposition. Shenzhen, China: IEEE, 2018: 1-6.

徐梓高. 基于谐波状态空间的模块化多电平换流器建模[D]. 哈尔滨: 哈尔滨工业大学, 2018.

ZHOU Pan, LIU Tianqi, WANG Shunliang, et al . Small signal modeling of LCC-HVDC station with consideration of harmonic coupling characteristics[J ] . Power System Technology, 2021, 45(01): 153−161(in Chinese).

周攀, 刘天琪, 王顺亮, 等. 考虑谐波耦合特性的LCC-HVDC换流站小信号建模[J]. 电网技术, 2021, 45(01): 153−161.

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