针对感应电机定子在旋转磁拉力的作用下所产生的参激弹性振动问题，采用能量法建立机、电、磁多场耦联动力学模型。利用伽辽金离散得到了常微分形式的动力学模型，并应用多尺度法揭示了重要基本参数与稳定性之间的映射关系，还给出了解析形式的不稳定边界。研究结果表明，该边界与定子支撑刚度、柔度、相电流和线圈节距等机、电、磁参数有关。采用Floquét理论计算了不稳定域，并应用龙格-库塔方法求解响应，验证了解析结果的正确性。该研究结果为参数的合理选择提供了理论借鉴。
Abstract
This work aims at the parametric vibration of the elastic stator of induction motor excited by rotating magnetic load. A mechanical-electromagnetic coupling model is established by using energy method. The ordinary differential equation is obtained by using Galerkin method. Multi-scale method is employed to reveal the relationship between the important basic parameters and stability and also provide the analytical unstable boundary. The results imply that the boundaries are dependent on the mechanical-electromagnetic parameters, including the support stiffness, bending flexibility, phase current and tooth pitch. Floquét and Runge-Kutta methods are used to obtain the instability regions and the response, respectively. The numerical results verify the conclusions from the analytical method. The results lay a theoretical reference for the parameter’s selection.
关键词
感应电机 /
弹性定子 /
参激振动 /
稳定性
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Key words
induction motor /
elastic stator /
parametric vibration /
stability
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参考文献
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