Wind Turbine Modal Analysis with Transfer Matrix Method
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摘要: 在风力发电机组的结构动力学设计中,整机自振频率和振型是重要的设计参数。作者根据风力发电机组结构特点将其简化为带扭转变形的无质量梁单元和集中质量惯量单元的有序组合,并根据单元受力特点建立了梁单元和集中质量惯量单元的传递矩阵。以叶尖为输入,塔架底部为输出,根据多体系统传递矩阵模型构建原理,建立了风力发电机组整机传递矩阵模型,并使用该模型对NREL 5MW风力发电机组模型进行了模态分析。结果表明:传递矩阵法所得分析结果准确可靠,相对于有限元法,传递矩阵还具有建模灵活、计算效率高、无需建立系统总体运动方程等优点,非常适合风力发电机组的设计和优化。Abstract: The natural frequencies and vibration shapes of a wind turbine are important parameters for wind turbine design.According to its structure,it is simplified as a combination of no mass beam elements and lumped mass inertia elements,and the transfer matrices of these two elements are generated.With these,the transfer matrix of a whole wind turbine can be obtained and has three inputs as blade tips and one output as the bottom of tower.The natural frequencies and mode shapes of a 5MW onshore wind turbine are analyzed.The analysis results are accurate and reasonable.Compared with the finite element method,the transfer matrix method has the ease of model establishment,fast calculation and no complicated posterior process.
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Key words:
- transfer matrix method /
- turbomachine blades /
- design /
- mathematical models
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