差动调速风电机组传动系统的动态特性研究
|
摘要
基于考虑时变啮合刚度、齿侧间隙、阻尼、综合啮合误差等参量的动态啮合力方程,建立了差动调速风电机组传动系统的纯扭转时变非线性动力学模型.在指定输入条件下,用SIMULINK仿真得到了主输入轴、副输入轴和输出轴对应齿轮的动态啮合力、啮合线上相对位移以及扭转速度曲线,并分析了动态啮合力曲线的频率分布.
The pure torsional and time-varying nonlinear dynamic model of wind turbine with differential speed regulation transmission is built based on gear meshing force equation,with the parameters time-varying meshing stiffness,backlash,damping and comprehensive meshing error. The curves of dynamic meshing force,relative displacement in meshing line and torsion speed of main input shaft,vice input shaft and output shaft are obtained by SIMULINK. The natural frequency of each shaft is analysed.
The pure torsional and time-varying nonlinear dynamic model of wind turbine with differential speed regulation transmission is built based on gear meshing force equation,with the parameters time-varying meshing stiffness,backlash,damping and comprehensive meshing error. The curves of dynamic meshing force,relative displacement in meshing line and torsion speed of main input shaft,vice input shaft and output shaft are obtained by SIMULINK. The natural frequency of each shaft is analysed.
引文
[1] TERRYN W C. Wind turbine design[M]. Montpelier:Fer Publishing,2012.
[2] MANGIALARDI L,MANTRIOTA G. The advantages of using continuously variable transmissions in wind power systems[J]. Renewable Energy,1992,2(3):201-209.
[3] MANGIALARDI L,MANTRIOTA G. Automatically regulated CVT in wind power systems[J]. Renewable Energy,1994,4(3):299-310.
[4] FREEMAN J B,BALAS M J. Direct model reference adaptive control of a variable speed horizontal axis wind turbines[J]. Wind Energy,1998,22(5):25-33.
[5] IDAN M,LIOR D. Continuously variable speed wind turbine transmission concept and robust control[J]. Wind Energy,2000,24(3):151-167.
[6] ZHAO X,MAIBER P. A novel power splitting drive train for variable speed wind power generators[J]. Renewable Energy,2003,28(13):2001-2011.
[7] ZHANG T,LI W,DU Y. Mechatronic control model of the wind turbine with transmission to split power[J]. International Journal of Control,Automation and System,2005,3(4):533-541.
[8]穆安乐,刘宏昭,张明洪,等.新型变速恒频风能转换系统的实现原理与运动学分析[J].机械工程学报,2008,44(1):196-204.
[9] CLAUDIO R,PIERO C,GABRIELE G. WCVT continuously variable transmission for wind energy conversion system[C]//IEEE. IEEE Power Electronics and Machines in Wind Applications. New York:IEEE,2009:62-71.
[10]陈垚.新型风机差动齿轮箱建模与Bladed外部齿轮箱DLL的开发研究[D].北京:北京交通大学,2012.
[11] MUCINO V H. Design of continuously variable power split transmission for automotive appications[J]. I MechE Part D,2001,215(3):469-478.
[12]王自超,翟婉明,陈再刚,等.考虑齿轮传动系统的重载电力机车动力学性能研究[J].机械工程学报,2018,54(6):48-55.
[13]耿良超,吴昭景.质量-弹簧-阻尼系统的随机跟踪控制[J].烟台大学学报(自然科学与工程版),2017,30(3):180-184.
[14] KAHRAMAN A. Load sharing characteristics of planetary transmissions[J]. Mechanism and Machine Theory,1994,29(8):1151-1165.
[15] PARKER R G,WU X. Parametric instability of planetary gears having elastic continuum ring gears[J]. Journal of Vibration and Acoustics,2012,134(4):41-43.
[16] WALHA L,FAKHFAKH T,HADDAR M. Nonlinear dynamics of a two-stage gear system with mesh stiffness fluctuation,bearing flexibility and backlash[J]. Mechanism and Machine Theory,2009,44(5):1058-1069.
[17]曾志鹏.复合行星齿轮-主轴转子系统扭转振动分析研究[D].重庆:重庆大学,2016.
[18] BAHK C J,PARKER R G. Analytical solution for the nonlinear dynamics of planetary gear[J]. Journal of Computational and Nonlinear Dynamics,2011,6(2):021007.
[2] MANGIALARDI L,MANTRIOTA G. The advantages of using continuously variable transmissions in wind power systems[J]. Renewable Energy,1992,2(3):201-209.
[3] MANGIALARDI L,MANTRIOTA G. Automatically regulated CVT in wind power systems[J]. Renewable Energy,1994,4(3):299-310.
[4] FREEMAN J B,BALAS M J. Direct model reference adaptive control of a variable speed horizontal axis wind turbines[J]. Wind Energy,1998,22(5):25-33.
[5] IDAN M,LIOR D. Continuously variable speed wind turbine transmission concept and robust control[J]. Wind Energy,2000,24(3):151-167.
[6] ZHAO X,MAIBER P. A novel power splitting drive train for variable speed wind power generators[J]. Renewable Energy,2003,28(13):2001-2011.
[7] ZHANG T,LI W,DU Y. Mechatronic control model of the wind turbine with transmission to split power[J]. International Journal of Control,Automation and System,2005,3(4):533-541.
[8]穆安乐,刘宏昭,张明洪,等.新型变速恒频风能转换系统的实现原理与运动学分析[J].机械工程学报,2008,44(1):196-204.
[9] CLAUDIO R,PIERO C,GABRIELE G. WCVT continuously variable transmission for wind energy conversion system[C]//IEEE. IEEE Power Electronics and Machines in Wind Applications. New York:IEEE,2009:62-71.
[10]陈垚.新型风机差动齿轮箱建模与Bladed外部齿轮箱DLL的开发研究[D].北京:北京交通大学,2012.
[11] MUCINO V H. Design of continuously variable power split transmission for automotive appications[J]. I MechE Part D,2001,215(3):469-478.
[12]王自超,翟婉明,陈再刚,等.考虑齿轮传动系统的重载电力机车动力学性能研究[J].机械工程学报,2018,54(6):48-55.
[13]耿良超,吴昭景.质量-弹簧-阻尼系统的随机跟踪控制[J].烟台大学学报(自然科学与工程版),2017,30(3):180-184.
[14] KAHRAMAN A. Load sharing characteristics of planetary transmissions[J]. Mechanism and Machine Theory,1994,29(8):1151-1165.
[15] PARKER R G,WU X. Parametric instability of planetary gears having elastic continuum ring gears[J]. Journal of Vibration and Acoustics,2012,134(4):41-43.
[16] WALHA L,FAKHFAKH T,HADDAR M. Nonlinear dynamics of a two-stage gear system with mesh stiffness fluctuation,bearing flexibility and backlash[J]. Mechanism and Machine Theory,2009,44(5):1058-1069.
[17]曾志鹏.复合行星齿轮-主轴转子系统扭转振动分析研究[D].重庆:重庆大学,2016.
[18] BAHK C J,PARKER R G. Analytical solution for the nonlinear dynamics of planetary gear[J]. Journal of Computational and Nonlinear Dynamics,2011,6(2):021007.