Dynamic analysis and modeling of a novel fractional-order hydro-turbine-generator unit

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• 作者：Beibei Xu ; Diyi Chen ; Hao Zhang ; Rui Zhou
• 关键词：Hydro ; turbine ; generator unit ; Fractional order ; Nonlinear dynamics ; Mathematical modeling
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：81
• 期：3
• 页码：1263-1274
• 全文大小：1,310 KB
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• 作者单位：Beibei Xu (1)
  Diyi Chen (1)
  Hao Zhang (1)
  Rui Zhou (1)
  
  1. Institute of Water Resources and Hydropower Research, Northwest A&F University, Yangling, 712100, Shaanxi, People鈥檚 Republic of China
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

In order to study the stability of a hydro-turbine-generator unit in further depth, we establish a novel nonlinear fractional-order mathematical model considering a fractional-order damping force, a fractional-order oil-film force, an asymmetric magnetic pull and a hydraulic-asymmetric force. Furthermore, the nonlinear dynamics of the above fractional-order hydro-turbine-generator unit system with six typical fractional orders are studied in detail. Based on these, we analyze the effect of the fractional-order \(\alpha \) on bifurcation points, the orbit of centroid of the rotor, the power and the frequency of the rotor. Fortunately, some variable laws are found from numerical simulation results. Finally, all of these results have enriched the dynamical behaviors of a hydro-turbine-generator system.