Fuzzy Lyapunov function based stability analysis of hybrid multiple-frequency system with low frequency offshore wind power integration

Low frequency transmission is gradually becoming a competitive solution for offshore wind power integration. However, the large signal stability issues induced by the low frequency offshore wind power integration have also become a focal point of concern. Thus, this article firstly analyzes the uniq...

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Main Authors: Ziyue Duan, Yongqing Meng, Tianyi Wang, Boyang Zhao, Xiuli Wang, Xifan Wang
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:International Journal of Electrical Power & Energy Systems
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0142061524006616
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author Ziyue Duan
Yongqing Meng
Tianyi Wang
Boyang Zhao
Xiuli Wang
Xifan Wang
author_facet Ziyue Duan
Yongqing Meng
Tianyi Wang
Boyang Zhao
Xiuli Wang
Xifan Wang
author_sort Ziyue Duan
collection DOAJ
description Low frequency transmission is gradually becoming a competitive solution for offshore wind power integration. However, the large signal stability issues induced by the low frequency offshore wind power integration have also become a focal point of concern. Thus, this article firstly analyzes the unique impact of integrating low frequency wind power into hybrid multi-frequency system on large signal stability from the perspective of power frequency synchronous generators, using power-angle curves and the equal area criterion. Then, three active power transmission paths for the low frequency transmission system are defined, revealing stability mechanism under varying wind power penetration rate and transmission frequency. Furthermore, the improved fuzzy Lyapunov function method is proposed to calculate the system’s energy function and domain of attraction, reducing the conservativeness of quadratic energy function and eliminating the need for bounded time derivatives of membership function. On top of that, by introducing the concepts of large signal stability margin and sensitivity, it presents the quantitative optimization scheme for enhancing system stability. Additionally, the selection criterion from the stability perspective for optimal transmission frequency is proposed. Finally, simulations and experimental results confirm the effectiveness of the theoretical analysis.
format Article
id doaj-art-d7c238cbf2d0442580bfa47d777a8529
institution Kabale University
issn 0142-0615
language English
publishDate 2025-03-01
publisher Elsevier
record_format Article
series International Journal of Electrical Power & Energy Systems
spelling doaj-art-d7c238cbf2d0442580bfa47d777a85292025-01-19T06:24:03ZengElsevierInternational Journal of Electrical Power & Energy Systems0142-06152025-03-01164110437Fuzzy Lyapunov function based stability analysis of hybrid multiple-frequency system with low frequency offshore wind power integrationZiyue Duan0Yongqing Meng1Tianyi Wang2Boyang Zhao3Xiuli Wang4Xifan Wang5School of Electrical Engineering, Xi’an Jiaotong University (Shaanxi Key Laboratory on Smart Grid), Xi’an, Shaanxi Province 710049, ChinaCorresponding author.; School of Electrical Engineering, Xi’an Jiaotong University (Shaanxi Key Laboratory on Smart Grid), Xi’an, Shaanxi Province 710049, ChinaSchool of Electrical Engineering, Xi’an Jiaotong University (Shaanxi Key Laboratory on Smart Grid), Xi’an, Shaanxi Province 710049, ChinaSchool of Electrical Engineering, Xi’an Jiaotong University (Shaanxi Key Laboratory on Smart Grid), Xi’an, Shaanxi Province 710049, ChinaSchool of Electrical Engineering, Xi’an Jiaotong University (Shaanxi Key Laboratory on Smart Grid), Xi’an, Shaanxi Province 710049, ChinaSchool of Electrical Engineering, Xi’an Jiaotong University (Shaanxi Key Laboratory on Smart Grid), Xi’an, Shaanxi Province 710049, ChinaLow frequency transmission is gradually becoming a competitive solution for offshore wind power integration. However, the large signal stability issues induced by the low frequency offshore wind power integration have also become a focal point of concern. Thus, this article firstly analyzes the unique impact of integrating low frequency wind power into hybrid multi-frequency system on large signal stability from the perspective of power frequency synchronous generators, using power-angle curves and the equal area criterion. Then, three active power transmission paths for the low frequency transmission system are defined, revealing stability mechanism under varying wind power penetration rate and transmission frequency. Furthermore, the improved fuzzy Lyapunov function method is proposed to calculate the system’s energy function and domain of attraction, reducing the conservativeness of quadratic energy function and eliminating the need for bounded time derivatives of membership function. On top of that, by introducing the concepts of large signal stability margin and sensitivity, it presents the quantitative optimization scheme for enhancing system stability. Additionally, the selection criterion from the stability perspective for optimal transmission frequency is proposed. Finally, simulations and experimental results confirm the effectiveness of the theoretical analysis.http://www.sciencedirect.com/science/article/pii/S0142061524006616Low frequency offshore power systemLarge signal stabilityFuzzy Lyapunov functionMultiple-frequency system
spellingShingle Ziyue Duan
Yongqing Meng
Tianyi Wang
Boyang Zhao
Xiuli Wang
Xifan Wang
Fuzzy Lyapunov function based stability analysis of hybrid multiple-frequency system with low frequency offshore wind power integration
International Journal of Electrical Power & Energy Systems
Low frequency offshore power system
Large signal stability
Fuzzy Lyapunov function
Multiple-frequency system
title Fuzzy Lyapunov function based stability analysis of hybrid multiple-frequency system with low frequency offshore wind power integration
title_full Fuzzy Lyapunov function based stability analysis of hybrid multiple-frequency system with low frequency offshore wind power integration
title_fullStr Fuzzy Lyapunov function based stability analysis of hybrid multiple-frequency system with low frequency offshore wind power integration
title_full_unstemmed Fuzzy Lyapunov function based stability analysis of hybrid multiple-frequency system with low frequency offshore wind power integration
title_short Fuzzy Lyapunov function based stability analysis of hybrid multiple-frequency system with low frequency offshore wind power integration
title_sort fuzzy lyapunov function based stability analysis of hybrid multiple frequency system with low frequency offshore wind power integration
topic Low frequency offshore power system
Large signal stability
Fuzzy Lyapunov function
Multiple-frequency system
url http://www.sciencedirect.com/science/article/pii/S0142061524006616
work_keys_str_mv AT ziyueduan fuzzylyapunovfunctionbasedstabilityanalysisofhybridmultiplefrequencysystemwithlowfrequencyoffshorewindpowerintegration
AT yongqingmeng fuzzylyapunovfunctionbasedstabilityanalysisofhybridmultiplefrequencysystemwithlowfrequencyoffshorewindpowerintegration
AT tianyiwang fuzzylyapunovfunctionbasedstabilityanalysisofhybridmultiplefrequencysystemwithlowfrequencyoffshorewindpowerintegration
AT boyangzhao fuzzylyapunovfunctionbasedstabilityanalysisofhybridmultiplefrequencysystemwithlowfrequencyoffshorewindpowerintegration
AT xiuliwang fuzzylyapunovfunctionbasedstabilityanalysisofhybridmultiplefrequencysystemwithlowfrequencyoffshorewindpowerintegration
AT xifanwang fuzzylyapunovfunctionbasedstabilityanalysisofhybridmultiplefrequencysystemwithlowfrequencyoffshorewindpowerintegration