Physical Mechanism of Rotational Fourier Spectrum for Wind Turbine

doi:10.3969/j.issn.1000-7229.2014.08.021

Abstract

Abstract: Conventional wind turbulent speed spectra are difficult to accurately predict the extreme loads and fatigue loads of wind turbines. To predict those loads accurately, based on a clear physical mechanism of blade rotational effect, a relationship between Fourier spectra and the cross-correlation function of samples was derived, and a rotational Fourier wind spectrum model was proposed. To comprehensively grasp the physical essence of rotational Fourier spectra, the main influencing parameters of rotational Fourier spectra were explored, including calculating radius, blade rotational speed, mean wind speed, surface roughness, etc. And then the analysis of corresponding parameter was carried out. The research results show that the rotational Fourier spectra have more physical meaning and engineering value compared with conventional wind turbulent speed spectra.

Key words: wind turbine system, physical mechanism, rotational Fourier spectrum, parameter analysis, physical significance

HE Guangling, TONG Hui. Physical Mechanism of Rotational Fourier Spectrum for Wind Turbine[J]. ELECTRIC POWER CONSTRUCTION, 2014, 35(8): 119-124.

References

［1］Rosenbrock H H. Vibration and stability problem in large turbines having hinged blades ［D］. E.R.A., Surrey, U.K., 1955. ［2］Connell J R. Turbulence Spectrum observed by a fast-rotating wind turbine blade ［R］. Technical Report PNL-3426, Batelle Pacific Northwest Laboratory, Richland, WA, 1980. ［3］Connell J R. The spectrum of wind speed fluctuations encountered by a rotating blade of a wind energy conversion system ［R］. Technical Report PNL-4083, Batelle Pacific Northwest Laboratory, Richland, WA, 1982. ［4］Powell D C, Connell J R, George R L. Verification of theoretically computed spectra for a point rotating in a vertical plane［R］. Technical Report PNL-5440, Battelle Pacific Northwest Laboratory, Richland, WA, 1985. ［5］Powell D C, Connell J R. A model for simulation rotational data for wind turbine applications［R］. Technical Report PNL-5857, Battelle Pacific Northwest Laboratory, Richland, WA, 1986. ［6］Powell D C, Connell J R. Review of wind simulation methods for horizontal-axis wind turbine analysis ［R］. Technical Report PNL-5903, Battelle Pacific Northwest Laboratory, Richland, WA, 1986. ［7］Powell D C, Connell J R. Verification of theoretically computed spectra for a point rotating in a vertical plane ［J］. Solar Energy, 1987, 39（1）: 53-63. ［8］Connell J R. A primer of turbulence at the wind turbine rotor ［J］. Solar Energy, 1988, 41（3）: 281-293. ［9］Veers P S. Modeling stochastic wind loads on vertical-axis turbines ［R］. Technical Report SAND83-1909, Sandia National Laboratories, A1buquerque, New Mexico, 1984. ［10］Veers P S. Three-dimensional wind simulation［R］. Technical Report SAND88 -0152, Sandia National Laboratories, A1buquerque, New Mexico, 1988. ［11］Salzmann D J C. Dynamic response calculation of offshore wind turbine monopile support structures ［D］. Delft University of Technology, Netherlands, 2004. ［12］Tempel J V D. Design of support structures for offshore wind turbines ［D］. Delft University of Technology, Netherlands, 2006. ［13］贺广零,李杰.风力发电机组风致动力响应分析［J］.电力建设,2011,32（10）: 1-9. ［14］贺广零,李杰.基于物理机制的风力发电高塔系统风场模拟［J］.同济大学学报：自然科学报, 2010,38（7）: 976-981. ［15］Li J, Chen J B. Stochastic dynamics of structures ［M］. John Wiley & Sons, 2009：11-32. ［16］贺广零, 李杰. 风力发电高塔系统基于物理机制的旋转样本功率谱研究［J］. 中国电机工程学报, 2009, 29（26）: 85-91. ［17］贺广零, 李杰. 风力发电高塔系统风致随机动力响应分析［J］. 振动工程学报, 2011, 26（4）: 696-703. ［18］贺广零, 李杰. 风力发电高塔系统抗风动力可靠度分析［J］. 同济大学学报：自然科学报, 2011, 39（4）: 474-481.