一种海上浮式风电基础频域动力响应分析新技术
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摘要
提出一种风、浪联合作用下的海上浮式风电基础频域动力响应分析新技术。该技术将浮式风电基础的动力方程从时域转换到Laplace域,推导并获得新的浮式风电基础传递函数,解决了现有技术其延迟函数在Laplace域中无法直接获得的技术不足。其优势在于新的传递函数能够与傅里叶变换技术相结合,实现了海上浮式风电基础的频域动力响应计算。相比于传统时域方法,该算法将延迟函数卷积项在Laplace域上转换为乘积项,计算效率得到提高;较传统频域算法,该方法提供了新的传递函数,为浮式风电基础频域动力响应计算提供一种新的技术手段。文中采用安装三台3MW风力发电机的三浮筒浮式风电模型进行研究,结果证实:所提出的频域动力响应算法可以准确得到浮式风电基础在风、浪联合作用下的频域动力响应,为海上浮式风电基础的动力响应计算提供一种更为高效的技术手段。
The paper proposes a dynamic response analysis technology on estimating the floating wind turbine in frequency domain with the consideration of interaction between winds and waves.In the proposed method,the motion equations of floating wind turbine foundation are transformed from time domain to Laplace domain to obtain a new transfer function.The proposed novel method overcomes the difficulty that the retardation function can't be calculated directly in Laplace domain by the existing methods.The advantage of the proposed method is the combination of the new transfer function with the FFT which realizes the dynamic response calculation for the floating wind turbine foundation in frequency domain.Compared with the traditional time-domain method,the proposed method transforms the convolution term into the product term in the retardation function by Laplace transformation,which improves the computational efficiency.Compared with the frequency-domain method,a novel dynamic response estimating technology is presented in the proposed method.In this paper,a floating wind turbine model with three wind-driven generators which has three pontoons is studied.A conclusion can be draw that the dynamic responses of the floating wind turbine can be obtained accurately using the proposed frequency-domain response estimation method taking the interaction between winds and waves into consideration,which can provide a technical support to investigate such issues.
The paper proposes a dynamic response analysis technology on estimating the floating wind turbine in frequency domain with the consideration of interaction between winds and waves.In the proposed method,the motion equations of floating wind turbine foundation are transformed from time domain to Laplace domain to obtain a new transfer function.The proposed novel method overcomes the difficulty that the retardation function can't be calculated directly in Laplace domain by the existing methods.The advantage of the proposed method is the combination of the new transfer function with the FFT which realizes the dynamic response calculation for the floating wind turbine foundation in frequency domain.Compared with the traditional time-domain method,the proposed method transforms the convolution term into the product term in the retardation function by Laplace transformation,which improves the computational efficiency.Compared with the frequency-domain method,a novel dynamic response estimating technology is presented in the proposed method.In this paper,a floating wind turbine model with three wind-driven generators which has three pontoons is studied.A conclusion can be draw that the dynamic responses of the floating wind turbine can be obtained accurately using the proposed frequency-domain response estimation method taking the interaction between winds and waves into consideration,which can provide a technical support to investigate such issues.
引文
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[3]Wang Y G.Robust frequency-domain identification of parametric radiation force models for a floating wind turbine[J].Ocean Engineering,2015,109:580-594.
[4]Ogilvie T.Recent Progress Towards the Understanding and Prediction of Ship Motions[M].Fifth Symposium on Naval Hydrodynamics,1964,3:79.
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[6]Wehausen J V.Surface Waves[M].University of California,Berkeley,California,USA.
[7]戴遗山.舰船在波浪中运动的频域与时域势流理论[M].北京:国防工业出版社,1998.
[8]Gu J Y,Zhang P,Xie Y L.Characteristic study of the random wind load on semi-submersible tender support platform[J].Journal of Ship Mechanics,2017,21(6):672-684.
[9]Environmental Conditions and Environmental Loads.DNV-RP-C205.DET-NORSKE VERITAS,2007.
[10]陈文文.新型三浮筒Windsea式半潜浮式风电基础结构数值研究[D].青岛:中国海洋大学,2014.Chen Wenwen.Numerical study on windsea type semisubmersibe floating foundation with three pontoons of offshore wind turbine[D].Qingdao:Ocean University of China,2014.
[11]Liu F S,Lu H C,Li H J.Dynamic analysis of offshore structures with non-zero initial conditions in the frequency domain[J].Journal Sound Vibration,2016,366:309-324.
[12]Liu F S,Chen J F,Qin H D.Frequency response estimation of floating structures by representation of retardation functions with complex exponentials[J].Marine Structures,2017,54:144-166.
[2]Concept design and analysis of offshore&maritime structures[M].SESAM User Manual.DET NORSKEVERITAS,2008.
[3]Wang Y G.Robust frequency-domain identification of parametric radiation force models for a floating wind turbine[J].Ocean Engineering,2015,109:580-594.
[4]Ogilvie T.Recent Progress Towards the Understanding and Prediction of Ship Motions[M].Fifth Symposium on Naval Hydrodynamics,1964,3:79.
[5]Liu F S,Lu H C,Ji C Y.A general frequency-domain dynamic analysis algorithm for offshore structures with asymmetric matrices[J].Ocean Engineering,2016,125:172-284.
[6]Wehausen J V.Surface Waves[M].University of California,Berkeley,California,USA.
[7]戴遗山.舰船在波浪中运动的频域与时域势流理论[M].北京:国防工业出版社,1998.
[8]Gu J Y,Zhang P,Xie Y L.Characteristic study of the random wind load on semi-submersible tender support platform[J].Journal of Ship Mechanics,2017,21(6):672-684.
[9]Environmental Conditions and Environmental Loads.DNV-RP-C205.DET-NORSKE VERITAS,2007.
[10]陈文文.新型三浮筒Windsea式半潜浮式风电基础结构数值研究[D].青岛:中国海洋大学,2014.Chen Wenwen.Numerical study on windsea type semisubmersibe floating foundation with three pontoons of offshore wind turbine[D].Qingdao:Ocean University of China,2014.
[11]Liu F S,Lu H C,Li H J.Dynamic analysis of offshore structures with non-zero initial conditions in the frequency domain[J].Journal Sound Vibration,2016,366:309-324.
[12]Liu F S,Chen J F,Qin H D.Frequency response estimation of floating structures by representation of retardation functions with complex exponentials[J].Marine Structures,2017,54:144-166.