The nonlinear dynamics of the six-pole rotor active magnetic bearings system is studied in this article for the first time. Two control configurations based on a proportional-derivative feedback current controller are proposed to mitigate lateral vibrations of the considered system. The first configuration is designed in such a way that only four electromagnetic poles are responsible for the system vibration control in the \( Y \)-direction, while all six poles control the lateral vibration in the \( X \)-direction. A second configuration is proposed in which the same four poles of the first configuration control the system vibration in the \( Y \)-direction, while the other two poles are responsible for controlling the system vibration in the \( X \)-direction. According to the suggested control methods, a mathematical model is derived that simulates lateral oscillations of the system. Using the perturbation analysis, four autonomous and coupled first-order nonlinear differential equations that govern the system oscillation amplitudes and the corresponding phase angles in both \( X \) and \( Y \)-directions are extracted. Various bifurcation diagrams are obtained using rotor spinning-speed and disk eccentricity as a bifurcation control parameter. The conditions at which the system can whirl either forward or backward are investigated. Numerical validations for the obtained bifurcation diagrams are introduced which illustrate excellent agreement with the analytical results. Based on the acquired analytical and numerical results, it is found that the first control configuration has the best dynamical behavior for controlling the vibration of such systems.

本文首次研究了六极转子主动电磁轴承系统的非线性动力学。提出了两种基于比例微分反馈电流控制器的控制配置，以减轻所考虑系统的横向振动。第一种配置的设计方式是，只有四个电磁极负责\（Y \）方向的系统振动控制，而所有六个极都控制\（X \）方向的横向振动。提出了第二种配置，其中第一种配置的相同四个磁极控制\（Y \）方向上的系统振动，而其他两个磁极负责控制系统中的系统振动。\（X \）-方向。根据建议的控制方法，推导了一个数学模型来模拟系统的横向振动。使用扰动分析，控制\（X \）和\（Y \）的四个自治且耦合的一阶非线性微分方程，这些方程控制系统的振幅和相应的相角。-方向被提取。使用转子旋转速度和圆盘偏心率作为分叉控制参数，可以获得各种分叉图。研究了系统可以向前或向后旋转的条件。引入了对所得分叉图的数值验证，该验证表明了与分析结果的高度吻合。基于所获得的分析和数值结果，发现第一控制配置具有用于控制这种系统的振动的最佳动力学行为。