Modeling and Analysis on AC-DC Harmonic Coupling of the Three-Phase Voltage Source Converter under Asymmetric Condition
A three-phase voltage source converter (VSC) is the most common power electronic device in power systems, but its inherent nonlinearity leads to complex AC-DC harmonic coupling phenomena. Existing studies focus on the harmonic coupling characteristics of three-phase VSCs under three-phase symmetrica...
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author | Wei Wu Jing Li Tian Mao Shenquan Liu Baorong Zhou Dehui Zeng |
author_facet | Wei Wu Jing Li Tian Mao Shenquan Liu Baorong Zhou Dehui Zeng |
author_sort | Wei Wu |
collection | DOAJ |
description | A three-phase voltage source converter (VSC) is the most common power electronic device in power systems, but its inherent nonlinearity leads to complex AC-DC harmonic coupling phenomena. Existing studies focus on the harmonic coupling characteristics of three-phase VSCs under three-phase symmetrical conditions, but the problem under asymmetrical conditions is rarely investigated. This paper proposes a practical modeling method for harmonic state space (HSS) modeling of the VSC topology, together with a classic <i>T</i>/4-delay-based decoupled double synchronous reference frame (DDSRF) control system. The steady-state phase shift characteristics of the <i>T</i>/4 delay link for each frequency component are first analyzed, and the expansion method of the DDSRF controller in the HSS frame is derived. Compared with the conventional method, the proposed technique can provide an accurate description of the steady-state effect of the delay link without introducing additional state variables and, therefore, can reduce model complexity and computation burden. Then, the small-signal close-loop HSS model of the VSC is established, and a harmonic transfer matrix between the AC positive sequence/negative sequence and DC current of different frequencies is developed, which reveals the global harmonic coupling relationship between AC and DC grids across the VSC. Analysis shows that the <i>T</i>/4-delay-link significantly weakens the AC-DC inter-harmonic coupling near the fundamental frequency. Finally, the electromagnetic transient simulations are carried out based on MATLAB/Simulink, and the validity of the proposed modeling method and the model and the correctness for the analysis of harmonic coupling characteristics are verified. |
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issn | 1996-1073 |
language | English |
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spelling | doaj.art-59514de3be474cffae7935690098e58d2023-12-03T12:35:18ZengMDPI AGEnergies1996-10732022-07-011515546610.3390/en15155466Modeling and Analysis on AC-DC Harmonic Coupling of the Three-Phase Voltage Source Converter under Asymmetric ConditionWei Wu0Jing Li1Tian Mao2Shenquan Liu3Baorong Zhou4Dehui Zeng5Electric Power Research Institute, China Southern Power Grid, Guangzhou 510663, ChinaSchool of Electric Power, South China University of Technology, Guangzhou 510640, ChinaElectric Power Research Institute, China Southern Power Grid, Guangzhou 510663, ChinaSchool of Electric Power, South China University of Technology, Guangzhou 510640, ChinaElectric Power Research Institute, China Southern Power Grid, Guangzhou 510663, ChinaGuangzhou Jiayuan Electric Power Technology, Guangzhou 510610, ChinaA three-phase voltage source converter (VSC) is the most common power electronic device in power systems, but its inherent nonlinearity leads to complex AC-DC harmonic coupling phenomena. Existing studies focus on the harmonic coupling characteristics of three-phase VSCs under three-phase symmetrical conditions, but the problem under asymmetrical conditions is rarely investigated. This paper proposes a practical modeling method for harmonic state space (HSS) modeling of the VSC topology, together with a classic <i>T</i>/4-delay-based decoupled double synchronous reference frame (DDSRF) control system. The steady-state phase shift characteristics of the <i>T</i>/4 delay link for each frequency component are first analyzed, and the expansion method of the DDSRF controller in the HSS frame is derived. Compared with the conventional method, the proposed technique can provide an accurate description of the steady-state effect of the delay link without introducing additional state variables and, therefore, can reduce model complexity and computation burden. Then, the small-signal close-loop HSS model of the VSC is established, and a harmonic transfer matrix between the AC positive sequence/negative sequence and DC current of different frequencies is developed, which reveals the global harmonic coupling relationship between AC and DC grids across the VSC. Analysis shows that the <i>T</i>/4-delay-link significantly weakens the AC-DC inter-harmonic coupling near the fundamental frequency. Finally, the electromagnetic transient simulations are carried out based on MATLAB/Simulink, and the validity of the proposed modeling method and the model and the correctness for the analysis of harmonic coupling characteristics are verified.https://www.mdpi.com/1996-1073/15/15/5466voltage source converterVSC small signal modelharmonic couplingharmonic state spaceharmonic transfer |
spellingShingle | Wei Wu Jing Li Tian Mao Shenquan Liu Baorong Zhou Dehui Zeng Modeling and Analysis on AC-DC Harmonic Coupling of the Three-Phase Voltage Source Converter under Asymmetric Condition Energies voltage source converter VSC small signal model harmonic coupling harmonic state space harmonic transfer |
title | Modeling and Analysis on AC-DC Harmonic Coupling of the Three-Phase Voltage Source Converter under Asymmetric Condition |
title_full | Modeling and Analysis on AC-DC Harmonic Coupling of the Three-Phase Voltage Source Converter under Asymmetric Condition |
title_fullStr | Modeling and Analysis on AC-DC Harmonic Coupling of the Three-Phase Voltage Source Converter under Asymmetric Condition |
title_full_unstemmed | Modeling and Analysis on AC-DC Harmonic Coupling of the Three-Phase Voltage Source Converter under Asymmetric Condition |
title_short | Modeling and Analysis on AC-DC Harmonic Coupling of the Three-Phase Voltage Source Converter under Asymmetric Condition |
title_sort | modeling and analysis on ac dc harmonic coupling of the three phase voltage source converter under asymmetric condition |
topic | voltage source converter VSC small signal model harmonic coupling harmonic state space harmonic transfer |
url | https://www.mdpi.com/1996-1073/15/15/5466 |
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