Article(id=1284794246704116093, tenantId=1146029695717560320, journalId=1283840536528293913, issueId=1284794217658560734, articleNumber=null, orderNo=null, doi=10.19912/j.0254-0096.tynxb.2025-0117, pmid=null, cstr=null, oa=null, hot=0, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1737302400000, receivedDateStr=2025-01-20, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1784248418736, onlineDateStr=2026-07-17, pubDate=null, pubDateStr=null, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1784248418736, onlineIssueDateStr=2026-07-17, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1784248418736, creator=13701087609, updateTime=1784248418736, updator=13701087609, issue=Issue{id=1284794217658560734, tenantId=1146029695717560320, journalId=1283840536528293913, year='2026', volume='47', issue='6', pageStart='1', pageEnd='814', issueExtLink='null', onlineDate='null', pubDate='1783180800000', pubDateStr='2026-07-05', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=1, specialIssue=null, createTime=1784248411812, creator='13701087609', updateTime=1784252840208, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1284812791785689442, tenantId=1146029695717560320, journalId=1283840536528293913, issueId=1284794217658560734, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1284812791785689443, tenantId=1146029695717560320, journalId=1283840536528293913, issueId=1284794217658560734, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=344, endPage=353, ext={EN=ArticleExt(id=1284794248323117439, articleId=1284794246704116093, tenantId=1146029695717560320, journalId=1283840536528293913, language=EN, title=RESEARCH ON INFLUENCE OF SECOND-ORDER WAVE FORCE ON DYNAMIC RESPONSE OF SEMI-SUBMERSIBLE FLOATING WIND TURBINES, columnId=null, journalTitle=Acta Energiae Solaris Sinica, columnName=null, runingTitle=null, highlight=null, articleAbstract=This study investigates the influence of second-order wave forces on the dynamic response of a semi-submersible floating wind turbines, using the "Guoneng Sharing" as a case study. A comparative analysis of the differences between far-field and near-field methods for calculating the second-order mean wave force transfer functions (QTFs) is presented. A coupled time-domain model of aerodynamic, hydrodynamic, structural, and servo dynamics was established to analyze the dynamic responses of the floating wind turbine under four scenarios: neglecting second-order wave forces, considering second-order mean wave forces, considering second-order difference wave forces, and considering both second-order difference and sum wave forces. The results indicate that the QTFs calculated by the far-field and near-field methods are nearly identical when the angular frequency is less than 1.1 rad/s. However, as the angular frequency increases, the far-field method generally yields larger values than that of the near-field method. The second-order wave forces significantly impact the motion response of the semi-submersible platform, with the primary contributing components being the second-order mean wave forces or second-order difference wave forces, while the second-order sum wave forces exhibit negligible influence. Notably, the second-order difference frequency and sum frequency wave forces significantly affect the acceleration of the semi-submersible platform and the load at the top of the tower, whereas the second-order mean wave forces have no discernible effect on either. The high-frequency response of the tower top load is excited under the influence of second-order difference and sum frequency wave forces and must be taken into account in calculations. Furthermore, second-order wave forces markedly affect the tension and fatigue life of the mooring anchor chains, not only increasing the fatigue damage but also influencing the location of maximum fatigue damage occurrence., authors=Cao Shugang1,2, Li Hongyou1, Wang Yu1, Zhu Liang1, Lu Hongchao3, authorsList=Cao Shugang, Li Hongyou, Wang Yu, Zhu Liang, Lu Hongchao, authorCompany=1. Longyuan (Beijing) New Energy Engineering Design and Research Institute Co., Ltd., Beijing 100034, China;
2. College of Energy Power and Mechanical Engineering, North China Electric Power University, Beijing 102206, China;
3. China University of Geosciences, College of Marine Science and Technology, Wuhan 430074, China, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1284794248230842750, articleId=1284794246704116093, tenantId=1146029695717560320, journalId=1283840536528293913, language=CN, title=二阶波浪力对半潜浮式风力机动力响应的影响研究, columnId=null, journalTitle=太阳能学报, columnName=null, runingTitle=null, highlight=null, articleAbstract=以“国能共享号”为例,研究二阶波浪力对半潜浮式风力机动力响应的影响,对比远场法和近场法计算二阶平均波浪力传递函数(QTFs)的差异,建立气动-水动-结构-伺服耦合时域模型,分析不考虑二阶波浪力、考虑二阶平均波浪力、考虑二阶差频波浪力、考虑二阶差频+和频波浪力4种情况下浮式风力机动力响应的结果。研究表明:当圆频率小于1.1 rad/s时远场法和近场法计算的QTFs曲线几乎一致,而随着圆频率的增大,远场法的计算结果在大部分频率下将大于近场法。二阶波浪力对半潜平台运动响应有重要影响,其中影响成分主要为二阶平均波浪力或二阶差频波浪力,而二阶和频波浪力几乎无影响。二阶差频波浪力和二阶和频波浪力对半潜平台加速度和塔筒顶部荷载影响显著,而二阶平均波浪力对两者无影响。二阶差频、二阶和频波浪力作用下塔筒顶部荷载的高频响应被激发,在计算时应予以考虑。二阶波浪力对锚链系泊张力和疲劳寿命影响显著,不仅会增大锚链的疲劳损伤,还会对最大疲劳损伤的发生位置产生影响。, authors=曹淑刚1,2, 李红有1, 王雨1, 祝亮1, 卢洪超3, authorsList=曹淑刚, 李红有, 王雨, 祝亮, 卢洪超, authorCompany=1.龙源(北京)新能源工程设计研究院有限公司,北京 100034;
2.华北电力大学能源动力与机械工程学院,北京 102206;
3.中国地质大学(武汉)海洋学院,武汉 430074, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=fprn8kXF/vaywSY8NBN9cg==, pdfFileSize=2356642, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=国家能源集团重点科技项目(GJNY-22-13); 国家自然科学基金(52371296; 42276028))}, authors=[Author(id=1291130256224678436, tenantId=1146029695717560320, journalId=null, articleId=1284794246704116093, orderNo=null, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=null, email=null, emailSecond=null, emailThird=null, correspondingAuthor=null, authorType=null, ext={EN=AuthorExt(id=null, tenantId=null, journalId=1283840536528293913, articleId=1284794246704116093, 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[4] 曹淑刚, 程友良, 范晓旭. 考虑黏性效应的半潜浮式风力机动力特性研究[J]. 太阳能学报, 2023, 44(2): 153-159.
CAO S G, CHENG Y L, FAN X X.Research on dynamic characteristics of semi-submersible floating wind turbine considering viscous effect[J]. Acta energiae solaris sinica, 2023, 44(2): 153-159.
[5] 曹林阳, 何林, 柴威, 等. 15 MW半潜式风力机结构响应极值预报研究[J]. 太阳能学报, 2024, 45(9): 534-542.
CAO L Y, HE L, CHAI W, et al.Extreme value estimation of structural response for 15 MW semi-submersible offshore wind turbine[J]. Acta energiae solaris sinica, 2024, 45(9): 534-542.
[6] ZHENG Z, LEI W, WANG R, et al. Motion analysis of a moored semi-submersible floating offshore wind turbine in focused waves by a consistent second-order hydrodynamic model[C]//ISOPE International Ocean and Polar Engineering Conference. ISOPE, 2023: ISOPE-I-23-042.
[7] SHI W, ZHANG L X, KARIMIRAD M, et al.Combined effects of aerodynamic and second-order hydrodynamic loads for floating wind turbines at different water depths[J]. Applied ocean research, 2023, 130: 103416.
[8] WANG S S, MOAN T, GAO Z.Methodology for global structural load effect analysis of the semi-submersible hull of floating wind turbines under still water, wind, and wave loads[J]. Marine structures, 2023, 91: 103463.
[9] YANG J, HE Y P, ZHAO Y S, et al.Coupled dynamic response analysis of multi-column floating offshore wind turbine with low center of gravity[J]. Journal of ocean engineering and science, 2024, 9(1): 25-39.
[10] ZHANG Z Y, GUAN L, WU H T, et al.Effects of the second-order hydrodynamics on the dynamic behavior of the platform among the wind-wave hybrid systems[J]. Journal of engineering research, 2025, 13(2): 1603-1616.
[11] 赵志新, 施伟, 王文华, 等. 二阶波浪力下超大型半潜浮式风力机动态响应分析[J]. 太阳能学报, 2023, 44(1): 335-345.
ZHAO Z X, SHI W, WANG W H, et al.Dynamic response analysis of an ultra-large semi-submersible floating wind turbine under second-order wave forces[J]. Acta energiae solaris sinica, 2023, 44(1): 335-345.
[12] CAO S G, CHENG Y L, DUAN J L, et al.Experimental investigation on the dynamic response of an innovative semi-submersible floating wind turbine with aquaculture cages[J]. Renewable energy, 2022, 200: 1393-1415.
[13] CAO S G, CHENG Y L, DUAN J L, et al.Experimental study of a semi-submersible floating wind turbine with aquaculture cages under combined wind and irregular waves[J]. Energy, 2024, 306: 132527.
[14] 段金龙, 曹淑刚, 常爽, 等. 畸形波作用下新型半潜浮式风力机动力响应特性[J]. 振动与冲击, 2025, 44(14): 11-19, 59.
DUAN J L, CAO S G,CHANG S, et al.Dynamic responses characteristics of a novel semi-submersible floating wind turbine platform undergoing rogue waves[J].Journal of vibration and shock, 2025, 44(14): 11-19, 59.
[15] 田雨. 流作用下平面网衣水动力特性及变形研究[D]. 哈尔滨: 哈尔滨工程大学, 2023.
TIAN Y.The research of hydrodynamic characteristics and deformation of net panels under currents action[D]. Harbin: Harbin Engineering University, 2023.
[16] Wind energy generation systems-part 3-2: Design requirements for floating offshore wind turbines: IEC 61400-3-2 Ed. 1.0 b:2025[S]. International Electrotechnical Commission(IEC), 2025.
[17] API RP 2 SK, Design and analysis of station keeping systems for floating structures[S]. American: American Petroleum Institute, 2015.)
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二阶波浪力对半潜浮式风力机动力响应的影响研究
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曹淑刚, 李红有, 王雨, 祝亮, 卢洪超
太阳能学报 | 2026,47(6): 344-353
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太阳能学报 2026 , 47 (6) : 344 -353
二阶波浪力对半潜浮式风力机动力响应的影响研究
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曹淑刚, 李红有, 王雨, 祝亮, 卢洪超
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RESEARCH ON INFLUENCE OF SECOND-ORDER WAVE FORCE ON DYNAMIC RESPONSE OF SEMI-SUBMERSIBLE FLOATING WIND TURBINES
Cao Shugang, Li Hongyou, Wang Yu, Zhu Liang, Lu Hongchao
Affiliations
    1. Longyuan (Beijing) New Energy Engineering Design and Research Institute Co., Ltd., Beijing 100034, China;
    2. College of Energy Power and Mechanical Engineering, North China Electric Power University, Beijing 102206, China;
    3. China University of Geosciences, College of Marine Science and Technology, Wuhan 430074, China
doi: 10.19912/j.0254-0096.tynxb.2025-0117
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以“国能共享号”为例,研究二阶波浪力对半潜浮式风力机动力响应的影响,对比远场法和近场法计算二阶平均波浪力传递函数(QTFs)的差异,建立气动-水动-结构-伺服耦合时域模型,分析不考虑二阶波浪力、考虑二阶平均波浪力、考虑二阶差频波浪力、考虑二阶差频+和频波浪力4种情况下浮式风力机动力响应的结果。研究表明:当圆频率小于1.1 rad/s时远场法和近场法计算的QTFs曲线几乎一致,而随着圆频率的增大,远场法的计算结果在大部分频率下将大于近场法。二阶波浪力对半潜平台运动响应有重要影响,其中影响成分主要为二阶平均波浪力或二阶差频波浪力,而二阶和频波浪力几乎无影响。二阶差频波浪力和二阶和频波浪力对半潜平台加速度和塔筒顶部荷载影响显著,而二阶平均波浪力对两者无影响。二阶差频、二阶和频波浪力作用下塔筒顶部荷载的高频响应被激发,在计算时应予以考虑。二阶波浪力对锚链系泊张力和疲劳寿命影响显著,不仅会增大锚链的疲劳损伤,还会对最大疲劳损伤的发生位置产生影响。
海上风电  /  浮式风力机  /  二阶波浪力  /  动力响应  /  二阶差频  /  二阶和频
This study investigates the influence of second-order wave forces on the dynamic response of a semi-submersible floating wind turbines, using the "Guoneng Sharing" as a case study. A comparative analysis of the differences between far-field and near-field methods for calculating the second-order mean wave force transfer functions (QTFs) is presented. A coupled time-domain model of aerodynamic, hydrodynamic, structural, and servo dynamics was established to analyze the dynamic responses of the floating wind turbine under four scenarios: neglecting second-order wave forces, considering second-order mean wave forces, considering second-order difference wave forces, and considering both second-order difference and sum wave forces. The results indicate that the QTFs calculated by the far-field and near-field methods are nearly identical when the angular frequency is less than 1.1 rad/s. However, as the angular frequency increases, the far-field method generally yields larger values than that of the near-field method. The second-order wave forces significantly impact the motion response of the semi-submersible platform, with the primary contributing components being the second-order mean wave forces or second-order difference wave forces, while the second-order sum wave forces exhibit negligible influence. Notably, the second-order difference frequency and sum frequency wave forces significantly affect the acceleration of the semi-submersible platform and the load at the top of the tower, whereas the second-order mean wave forces have no discernible effect on either. The high-frequency response of the tower top load is excited under the influence of second-order difference and sum frequency wave forces and must be taken into account in calculations. Furthermore, second-order wave forces markedly affect the tension and fatigue life of the mooring anchor chains, not only increasing the fatigue damage but also influencing the location of maximum fatigue damage occurrence.
offshore wind power  /  floating wind turbines  /  second-order wave force  /  dynamic response  /  second-order difference frequency  /  second-order sum frequency
曹淑刚, 李红有, 王雨, 祝亮, 卢洪超. 二阶波浪力对半潜浮式风力机动力响应的影响研究. 太阳能学报, 2026 , 47 (6) : 344 -353 . DOI: 10.19912/j.0254-0096.tynxb.2025-0117
Cao Shugang, Li Hongyou, Wang Yu, Zhu Liang, Lu Hongchao. RESEARCH ON INFLUENCE OF SECOND-ORDER WAVE FORCE ON DYNAMIC RESPONSE OF SEMI-SUBMERSIBLE FLOATING WIND TURBINES[J]. Acta Energiae Solaris Sinica, 2026 , 47 (6) : 344 -353 . DOI: 10.19912/j.0254-0096.tynxb.2025-0117

    国家能源集团重点科技项目(GJNY-22-13); 国家自然科学基金(52371296; 42276028)

参考文献 引证文献
排序方式:
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[4] 曹淑刚, 程友良, 范晓旭. 考虑黏性效应的半潜浮式风力机动力特性研究[J]. 太阳能学报, 2023, 44(2): 153-159.
CAO S G, CHENG Y L, FAN X X.Research on dynamic characteristics of semi-submersible floating wind turbine considering viscous effect[J]. Acta energiae solaris sinica, 2023, 44(2): 153-159.
[5] 曹林阳, 何林, 柴威, 等. 15 MW半潜式风力机结构响应极值预报研究[J]. 太阳能学报, 2024, 45(9): 534-542.
CAO L Y, HE L, CHAI W, et al.Extreme value estimation of structural response for 15 MW semi-submersible offshore wind turbine[J]. Acta energiae solaris sinica, 2024, 45(9): 534-542.
[6] ZHENG Z, LEI W, WANG R, et al. Motion analysis of a moored semi-submersible floating offshore wind turbine in focused waves by a consistent second-order hydrodynamic model[C]//ISOPE International Ocean and Polar Engineering Conference. ISOPE, 2023: ISOPE-I-23-042.
[7] SHI W, ZHANG L X, KARIMIRAD M, et al.Combined effects of aerodynamic and second-order hydrodynamic loads for floating wind turbines at different water depths[J]. Applied ocean research, 2023, 130: 103416.
[8] WANG S S, MOAN T, GAO Z.Methodology for global structural load effect analysis of the semi-submersible hull of floating wind turbines under still water, wind, and wave loads[J]. Marine structures, 2023, 91: 103463.
[9] YANG J, HE Y P, ZHAO Y S, et al.Coupled dynamic response analysis of multi-column floating offshore wind turbine with low center of gravity[J]. Journal of ocean engineering and science, 2024, 9(1): 25-39.
[10] ZHANG Z Y, GUAN L, WU H T, et al.Effects of the second-order hydrodynamics on the dynamic behavior of the platform among the wind-wave hybrid systems[J]. Journal of engineering research, 2025, 13(2): 1603-1616.
[11] 赵志新, 施伟, 王文华, 等. 二阶波浪力下超大型半潜浮式风力机动态响应分析[J]. 太阳能学报, 2023, 44(1): 335-345.
ZHAO Z X, SHI W, WANG W H, et al.Dynamic response analysis of an ultra-large semi-submersible floating wind turbine under second-order wave forces[J]. Acta energiae solaris sinica, 2023, 44(1): 335-345.
[12] CAO S G, CHENG Y L, DUAN J L, et al.Experimental investigation on the dynamic response of an innovative semi-submersible floating wind turbine with aquaculture cages[J]. Renewable energy, 2022, 200: 1393-1415.
[13] CAO S G, CHENG Y L, DUAN J L, et al.Experimental study of a semi-submersible floating wind turbine with aquaculture cages under combined wind and irregular waves[J]. Energy, 2024, 306: 132527.
[14] 段金龙, 曹淑刚, 常爽, 等. 畸形波作用下新型半潜浮式风力机动力响应特性[J]. 振动与冲击, 2025, 44(14): 11-19, 59.
DUAN J L, CAO S G,CHANG S, et al.Dynamic responses characteristics of a novel semi-submersible floating wind turbine platform undergoing rogue waves[J].Journal of vibration and shock, 2025, 44(14): 11-19, 59.
[15] 田雨. 流作用下平面网衣水动力特性及变形研究[D]. 哈尔滨: 哈尔滨工程大学, 2023.
TIAN Y.The research of hydrodynamic characteristics and deformation of net panels under currents action[D]. Harbin: Harbin Engineering University, 2023.
[16] Wind energy generation systems-part 3-2: Design requirements for floating offshore wind turbines: IEC 61400-3-2 Ed. 1.0 b:2025[S]. International Electrotechnical Commission(IEC), 2025.
[17] API RP 2 SK, Design and analysis of station keeping systems for floating structures[S]. American: American Petroleum Institute, 2015.
2026年第47卷第6期
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doi: 10.19912/j.0254-0096.tynxb.2025-0117
  • 接收时间:2025-01-20
  • 首发时间:2026-07-17
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
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