Coupling analysis on power‐frequency control loops for virtual synchronous generator based on relative gain array and Prony method

Abstract With the improvement of the penetration of power electronic equipment, a challenging scenario is arising in power‐frequency control system design of virtual synchronous generator (VSG). This affects the stability and control performance of the multi‐VSG grid‐connected system due to the unde...

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Main Authors: Jiaoxin Jia, Xiangwu Yan, Benshuang Qin
Format: Article
Language:English
Published: Wiley 2023-06-01
Series:IET Power Electronics
Subjects:
Online Access:https://doi.org/10.1049/pel2.12477
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author Jiaoxin Jia
Xiangwu Yan
Benshuang Qin
author_facet Jiaoxin Jia
Xiangwu Yan
Benshuang Qin
author_sort Jiaoxin Jia
collection DOAJ
description Abstract With the improvement of the penetration of power electronic equipment, a challenging scenario is arising in power‐frequency control system design of virtual synchronous generator (VSG). This affects the stability and control performance of the multi‐VSG grid‐connected system due to the undesirable dynamic coupling of the power‐frequency control loops. From this perspective, this paper proposes a systematic procedure for accurately evaluating the coupling of power‐frequency control loop, which is based on the relative gain array (RGA) and Prony analysis method. Firstly, the output admittance model of multi‐VSG grid‐connected system is established, and the transfer function matrices of output power and angular frequency are derived, respectively. Then, the variation law of coupling between control loops of VSG with different parameters is investigated by two methods: One is numerical analysis, and the other is RGA method which can determine the frequency band of coupling. Besides, the interaction between different VSG control strategies is compared and analyzed based on RGA. Subsequently, Prony analysis method is proposed to verify the results of RGA analysis. Finally, simulation and experimental results in a two‐machine grid‐connected system are presented to support the theoretical analysis and demonstrate the feasibility of the proposed method.
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spelling doaj.art-9d744a6d7f064d3b97054bfab34718462023-05-29T09:25:42ZengWileyIET Power Electronics1755-45351755-45432023-06-011681398140810.1049/pel2.12477Coupling analysis on power‐frequency control loops for virtual synchronous generator based on relative gain array and Prony methodJiaoxin Jia0Xiangwu Yan1Benshuang Qin2Key Laboratory of Distributed Energy Storage and Microgrid of Hebei Province North China Electric Power University Baoding ChinaKey Laboratory of Distributed Energy Storage and Microgrid of Hebei Province North China Electric Power University Baoding ChinaKey Laboratory of Distributed Energy Storage and Microgrid of Hebei Province North China Electric Power University Baoding ChinaAbstract With the improvement of the penetration of power electronic equipment, a challenging scenario is arising in power‐frequency control system design of virtual synchronous generator (VSG). This affects the stability and control performance of the multi‐VSG grid‐connected system due to the undesirable dynamic coupling of the power‐frequency control loops. From this perspective, this paper proposes a systematic procedure for accurately evaluating the coupling of power‐frequency control loop, which is based on the relative gain array (RGA) and Prony analysis method. Firstly, the output admittance model of multi‐VSG grid‐connected system is established, and the transfer function matrices of output power and angular frequency are derived, respectively. Then, the variation law of coupling between control loops of VSG with different parameters is investigated by two methods: One is numerical analysis, and the other is RGA method which can determine the frequency band of coupling. Besides, the interaction between different VSG control strategies is compared and analyzed based on RGA. Subsequently, Prony analysis method is proposed to verify the results of RGA analysis. Finally, simulation and experimental results in a two‐machine grid‐connected system are presented to support the theoretical analysis and demonstrate the feasibility of the proposed method.https://doi.org/10.1049/pel2.12477DC–AC power convertorsoscillations
spellingShingle Jiaoxin Jia
Xiangwu Yan
Benshuang Qin
Coupling analysis on power‐frequency control loops for virtual synchronous generator based on relative gain array and Prony method
IET Power Electronics
DC–AC power convertors
oscillations
title Coupling analysis on power‐frequency control loops for virtual synchronous generator based on relative gain array and Prony method
title_full Coupling analysis on power‐frequency control loops for virtual synchronous generator based on relative gain array and Prony method
title_fullStr Coupling analysis on power‐frequency control loops for virtual synchronous generator based on relative gain array and Prony method
title_full_unstemmed Coupling analysis on power‐frequency control loops for virtual synchronous generator based on relative gain array and Prony method
title_short Coupling analysis on power‐frequency control loops for virtual synchronous generator based on relative gain array and Prony method
title_sort coupling analysis on power frequency control loops for virtual synchronous generator based on relative gain array and prony method
topic DC–AC power convertors
oscillations
url https://doi.org/10.1049/pel2.12477
work_keys_str_mv AT jiaoxinjia couplinganalysisonpowerfrequencycontrolloopsforvirtualsynchronousgeneratorbasedonrelativegainarrayandpronymethod
AT xiangwuyan couplinganalysisonpowerfrequencycontrolloopsforvirtualsynchronousgeneratorbasedonrelativegainarrayandpronymethod
AT benshuangqin couplinganalysisonpowerfrequencycontrolloopsforvirtualsynchronousgeneratorbasedonrelativegainarrayandpronymethod