大型海上风力发电高塔随机最优减震控制
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摘要
考察了基于结构动力可靠度的调谐液体柱形阻尼器(TLCD)参数优化设计方法,并用于风-地震联合作用及地震作用下海上风力发电高塔系统的随机最优控制。文中,采用Kane动力学-有限元一体化模型,建立了TLCD-结构整体系统方程。基于概率密度演化理论的极值分布方法,给出了基于可靠度的TLCD参数优化设计方法及程序解答。在数值算例中,采用随机谐和函数和物理随机风场模型分别模拟随机地震动和随机风荷载,通过对优化的受控系统进行随机反应分析与可靠度分析,比较了不同控制准则和约束条件下TLCD的减震控制效果。研究表明基于可靠度的随机最优控制方法是可行的。
This paper investigates the performance of Tuned Liquid Column Damper(TLCD) for the mitigation of vibration of Offshore Wind Turbine Tower systems induced by joint random wind and seismic excitation.The Kane's equation-Finite Element Method is used to set up a tower-blade integrated model of wind turbine.Then the equation of motion of TLCD-structure system and the reliability-based design method of TLCD are proposed in the frame of probability density evolution method.Numerical study illustrates the effect of TLCD designed by different criteria on controlling vibration of wind turbine.The numerical study indicates that the proposed methodology can be implemented in the optimal control of stochastic dynamical systems.
This paper investigates the performance of Tuned Liquid Column Damper(TLCD) for the mitigation of vibration of Offshore Wind Turbine Tower systems induced by joint random wind and seismic excitation.The Kane's equation-Finite Element Method is used to set up a tower-blade integrated model of wind turbine.Then the equation of motion of TLCD-structure system and the reliability-based design method of TLCD are proposed in the frame of probability density evolution method.Numerical study illustrates the effect of TLCD designed by different criteria on controlling vibration of wind turbine.The numerical study indicates that the proposed methodology can be implemented in the optimal control of stochastic dynamical systems.
引文
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[5]Li J,Peng Y B,Chen J B.A physical approach to structuralstochastic optimal controls[J].Probabilistic EngineeringMechanics,2010,25:127-141
[6]Gao H,Kwok K C S.Optimization of tuned liquid columndampers[J].Engineering Structures,1997,19(6):476-486
[7]黄凯.海上风力发电高塔系统动力可靠度分析与设计[D].上海:同济大学,2011(Huang Kai.Dynamicreliability evaluation and design of offshore wind turbinesystems[D].Shanghai:Tongji University,2011(inChinese))
[8]Liu Y K,Chen J B,Huang K.Dynamic reliability analysisof offshore wind turbine systems considering rotational effect[C]//Proceedings of the 5th APSSRA.Singapore,2012
[9]李杰,彭勇波,陈建兵.随机动力系统最优控制准则研究[J].地震工程与工程振动,2010,30(1):112-117(LiJie,Peng Yongbo,Chen Jianbing.Analysis of optimalcontrol criteria for stochastic dynamic systems[J].Journalof Earthquake Engineering and Engineering Vibration,2010,30(1):112-117(in Chinese))
[10]Chen J B,Li J.The extreme value distribution and dynamicreliability analysis of nonlinear structures with uncertainparameters[J].Structural Safety,2007,29:77-93
[11]陈建兵,李杰.随机过程的随机谐和函数表达[J].力学学报,2011,43(3):505-513(Chen Jianbing,Li Jie.Stochastic harmonic function and spectral representations[J].Chinese Journal of Theoretical and AppliedMechanics,2011,43(3):505-513(in Chinese))
[12]Li J,Yan Q,Chen J B.Stochastic modeling of engineeringdynamic excitations for stochastic dynamics of structures[J].Probabilistic Engineering Mechanics,2012,27:19-28
[13]Murtagh P J,Basu B,Broderick B M.Along-wind responseof a wind turbine tower with blade coupling subjected torotational sampled wind loading[J].Engineering Structures,2005,27(8):1209-1219
[14]白学远.海上风力发电高塔系统随机最优控制分析与试验[D].上海:同济大学,2011(Bai Xueyuan.Stochastic optimal control analysis and experimental studieson offshore wind turbine system[D].Shanghai:TongjiUniversity,2011(in Chinese))
[2]Colwell S,Basu B.Tuned liquid column dampers in offshorewind turbines for structural control[J].EngineeringStructures,2009,31:358-368
[3]Debbarma R,Chakraborty S.Unconditional reliability-baseddesign of tuned liquid column dampers under stochasticearthquake load considering system parameters uncertainties[J].Journal of Earthquake Engineering,2010,14:970-988
[4]Li J,Chen J B.The principle of preservation of probabilityand the generalized density evolution equation[J].Structural Safety,2008,30:65-77
[5]Li J,Peng Y B,Chen J B.A physical approach to structuralstochastic optimal controls[J].Probabilistic EngineeringMechanics,2010,25:127-141
[6]Gao H,Kwok K C S.Optimization of tuned liquid columndampers[J].Engineering Structures,1997,19(6):476-486
[7]黄凯.海上风力发电高塔系统动力可靠度分析与设计[D].上海:同济大学,2011(Huang Kai.Dynamicreliability evaluation and design of offshore wind turbinesystems[D].Shanghai:Tongji University,2011(inChinese))
[8]Liu Y K,Chen J B,Huang K.Dynamic reliability analysisof offshore wind turbine systems considering rotational effect[C]//Proceedings of the 5th APSSRA.Singapore,2012
[9]李杰,彭勇波,陈建兵.随机动力系统最优控制准则研究[J].地震工程与工程振动,2010,30(1):112-117(LiJie,Peng Yongbo,Chen Jianbing.Analysis of optimalcontrol criteria for stochastic dynamic systems[J].Journalof Earthquake Engineering and Engineering Vibration,2010,30(1):112-117(in Chinese))
[10]Chen J B,Li J.The extreme value distribution and dynamicreliability analysis of nonlinear structures with uncertainparameters[J].Structural Safety,2007,29:77-93
[11]陈建兵,李杰.随机过程的随机谐和函数表达[J].力学学报,2011,43(3):505-513(Chen Jianbing,Li Jie.Stochastic harmonic function and spectral representations[J].Chinese Journal of Theoretical and AppliedMechanics,2011,43(3):505-513(in Chinese))
[12]Li J,Yan Q,Chen J B.Stochastic modeling of engineeringdynamic excitations for stochastic dynamics of structures[J].Probabilistic Engineering Mechanics,2012,27:19-28
[13]Murtagh P J,Basu B,Broderick B M.Along-wind responseof a wind turbine tower with blade coupling subjected torotational sampled wind loading[J].Engineering Structures,2005,27(8):1209-1219
[14]白学远.海上风力发电高塔系统随机最优控制分析与试验[D].上海:同济大学,2011(Bai Xueyuan.Stochastic optimal control analysis and experimental studieson offshore wind turbine system[D].Shanghai:TongjiUniversity,2011(in Chinese))
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