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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Elsevier
2025-03-01
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Series: | International Journal of Electrical Power & Energy Systems |
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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 |