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<p>In comparison with single-stage planetary gear systems, the multi-stage compound planetary gear transmission system employed in high-power wind turbine gearboxes provides a substantially higher transmission ratio and enhanced load-bearing capacity, thereby effectively mitigating the risk of transmission failure. Moreover, its nonlinear characteristics have a significant impact on the transmission performance of the system. In this paper, a multi-stage compound planetary gear system for a high-power wind turbine speed increaser is established considering the time-varying meshing stiffness, comprehensive meshing error, and backlash. The effects of time-varying meshing stiffness and meshing damping ratio on the nonlinear characteristics of the system are analyzed using Poincaré sections, phase diagrams, bifurcation diagrams, and maximum Lyapunov exponent plots. The system exhibits rich nonlinear dynamic behaviors under varying parameters. When the time-varying stiffness coefficient falls within the range of 0.44 &lt; <i>s</i> &lt; 0.53, the planetary gear–sun gear subsystem undergoes chaotic motion. Through the application of a feedback control method, the system transitions from chaotic to periodic motion, ultimately tending toward stability.</p>

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Nonlinear dynamics analysis of multi-stage compound planetary gear train for high-power wind power speed increaser

  • 期刊论文

  • 发表日期：

    2025年8月2日

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  • Jungang Wang,
  • Yuliang Zhong,
  • Xincheng Bi,
  • Ruina Mo

摘要

In comparison with single-stage planetary gear systems, the multi-stage compound planetary gear transmission system employed in high-power wind turbine gearboxes provides a substantially higher transmission ratio and enhanced load-bearing capacity, thereby effectively mitigating the risk of transmission failure. Moreover, its nonlinear characteristics have a significant impact on the transmission performance of the system. In this paper, a multi-stage compound planetary gear system for a high-power wind turbine speed increaser is established considering the time-varying meshing stiffness, comprehensive meshing error, and backlash. The effects of time-varying meshing stiffness and meshing damping ratio on the nonlinear characteristics of the system are analyzed using Poincaré sections, phase diagrams, bifurcation diagrams, and maximum Lyapunov exponent plots. The system exhibits rich nonlinear dynamic behaviors under varying parameters. When the time-varying stiffness coefficient falls within the range of 0.44 < s < 0.53, the planetary gear–sun gear subsystem undergoes chaotic motion. Through the application of a feedback control method, the system transitions from chaotic to periodic motion, ultimately tending toward stability.