风力机叶片流固耦合计算的降阶模型研究  

Reduced order model for fluid-structure coupled calculation of wind turbine blades

作　　者：孙芳锦 祝东涵 张大明 SUN Fangjin;ZHU Donghan;ZHANG Daming(Guangxi Key Laboratory of Geomechanics and Geotechnical Engineering,Guilin 541004,China;College of Civil Engineering and Architecture,Guilin University of Technology,Guilin 541004,China;College of Civil Engineering,Liaoning Technical University,Fuxin 123000,China;College of Information Science and Engineering,Guilin University of technology,Guilin 541006,China)

机构地区：[1]广西岩土力学与工程重点实验室,广西桂林541004 [2]桂林理工大学土木与建筑工程学院,广西桂林541004 [3]辽宁工程技术大学土木工程学院,辽宁阜新123000 [4]桂林理工大学信息科学与工程学院,广西桂林541006

出　　处：《振动与冲击》2021年第15期175-181,215,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金(51108345);广西自然科学基金联合资助培育项目(2019GXNSFAA245037);广西青年创新人才科研专项(桂科AD19245012);广西建筑新能源与节能重点实验室自主课题(桂科能19-J-21-14);广西岩土力学与工程重点实验室项目(桂科能19-Y-21-2);桂林理工大学科研启动基金(GUTQGJJ2019042,GUTQDJJ2019041)。

摘　　要：针对风力机叶片流固耦合计算复杂,耗时量大的局限性,建立了一种风力机叶片的弱耦合计算降阶模型。采用本征正交分解(proper orthogonal decomposition,POD)方法建立流固耦合计算中空气流体方程的降阶模型,利用POD方法将流体控制方程的速度和压力等未知量进行基模态分解并用一小部分空间模态表示,对流体方程进行时间离散,在既有缩减空间上采用Galerkin投影方法获得流体控制方程的最小残差投影,构造流体方程的最小残差降阶模型。再将流体降阶模型与风力机叶片进行流固耦合计算。将该降阶模型应用于经典NREL V风力机叶片的流固耦合计算中,对比了该降阶模型和经典Galerkin法的时间离散系数;计算得到了风力机叶片的受力和变形变化特征,并与CFD结果进行了对比,结果表明了该降阶模型的正确性和有效性。最后对比了该降阶模型和全阶模型的计算效率,结果表明降阶模型的计算效率有较大幅度提高,节约了大量机时。提出的降阶模型是正确有效的,达到了准确高效进行风力机叶片流固耦合计算的目的。Aiming at the limitation of complex and time-consuming wind turbine blade fluid-structure coupled calculation,a reduced order model of wind turbine blade weak coupling calculation was proposed.The reduced order model of air-fluid equation in fluid-structure interaction calculation was established by using the proper orthogonal decomposition(POD)method.Base mode decomposition was done for unknown variables,such as,velocity and pressure of fluid control equation using POD method and they were represented by a small part of space modes.The fluid equation was discretized in time domain.The minimum residual projection of fluid control equation was obtained by using Galerkin projection method in the existing reduced space to construct the minimum residual reduced order model of fluid equation.Then,the fluid-structure coupled calculation was performed for the fluid reduced model and wind turbine blades.The reduced order model was applied in the fluid-structure coupled calculation of the classical NREL-V wind turbine blades,temporal discretization factors of the reduced order model and the classical Galerkin method were compared,and force and deformation varying characteristics of wind turbine blade were obtained and compared with those obtained with CFD.The results showed that the reduced order model is correct and effective;compared with the computational efficiency of the full order model,the reduced order model’s is greatly improved to save much time;the reduced order model can be used to accurately and effectively perform fluid-structure coupled calculation of wind turbine blades.

关 键 词：风力机叶片 流固耦合计算 本征正交分解 降阶模型 

分 类 号：TU352[建筑科学—结构工程] TU973