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篇名 |
Nonlinear Behaviors of a Small Wind Turbine Induced by Aerodynamics and Electromagnetic Field
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並列篇名 | Nonlinear Behaviors of a Small Wind Turbine Induced by Aerodynamics and Electromagnetic Field |
作者 | Yung-Chia Hsiao、Lih-Shyng Shyu |
英文摘要 | Modern small wind turbines output maximum electricity with the use of optimal controllers such as maximum power point tracking. A windmill would rotate at a speed around an optimal value for a specific wind speed under the control algorithms. Some of the average rotational speeds far beyond the optimal value were remarked at light wind in some field tests, and the variety of the speed dissolves as moderate or fresh breeze blowing repeatedly. The phenomenon could bring about passive optimal control failure. Furthermore, some investigations observed a hysteresis consisted of a couple of saddle-node bifurcations which are induced by nonlinear aerodynamics of the small windmill at different electricity output. This paper analyzed the behaviors of a small wind turbine through considering the coupling of the aerodynamics of the windmill and the electromagnetic field of a permanent magnet synchronize generator via a nonlinear mathematic model. More than two saddle-node bifurcations exist in the wind turbine system. Two sets of the saddle-node bifurcations separate the equilibrium points of the system into three leading branches. Moreover, two Hopf bifurcations were observed as well. The bifurcations induce the whirling speeds of the turbine spread over the lower leading branch of the equilibrium points. Meanwhile, a jump phenomenon from the saddlenode bifurcation clears up the variation at blowing fresh breeze. The bifurcation diagram demonstrates the reason that the variant whirling speeds were detected only at light breeze. The observed phenomena would inspire different optimum control design of small wind turbines. |
起訖頁 | 033-039 |
關鍵詞 | Small windmill、Aerodynamics、Permanent magnet synchronize generator、Saddle-node bifurcation、Hopf bifurcation |
刊名 | 網際網路技術學刊 |
期數 | 202001 (21:1期) |
出版單位 | 台灣學術網路管理委員會 |
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