Abstract Rotor active magnetic bearing is one of the preferable supporting techniques for the high-speed rotating machinery. This article proposes a comparison between two different control strategies for the constant stiffness coefficients 16-pole rotor active magnetic bearings system (16-pole Rotor-AMBs). The first strategy is the Cartesian control in which the applied currents on the poles depend on the horizontal or vertical displacements of the rotor. The second strategy is the radial control in which the applied currents depend on the radial displacement of the rotor. Both strategies are based on the proportional-derivative (PD) control algorithm to make the rotor's vibrations track a zero reference point. The major novelty here is that we compare the two strategies to explore their advantages and disadvantages in controlling the 16-pole Rotor-AMBs. The analytical and numerical approximate predictions of the rotor's vibrations are extracted to show and verify the nonlinear dynamical behavior of the rotor based on the two methods. The local stability of the extracted solutions is analyzed via Hartman-Grobman theorem to conclude the stable and unstable solutions regions and the boundary between them. Various responses are included to show, in most conditions, that the radial control has a privilege over the Cartesian control in avoiding either the multi-stable solutions or the rub/impact forces occurrence between the rotating disk and the stator pole legs.

中文翻译：

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恒刚度系数16极转子主动磁轴承系统的两种不同控制策略

摘要 转子主动磁轴承是高速旋转机械的首选支撑技术之一。本文针对恒定刚度系数 16 极转子主动磁轴承系统 (16-pole Rotor-AMBs) 提出了两种不同控制策略的比较。第一种策略是笛卡尔控制，其中在磁极上施加的电流取决于转子的水平或垂直位移。第二种策略是径向控制，其中施加的电流取决于转子的径向位移。这两种策略都基于比例微分 (PD) 控制算法，以使转子的振动跟踪零参考点。这里的主要新颖之处在于我们比较了两种策略，以探索它们在控制 16 极转子 AMB 方面的优缺点。提取转子振动的解析和数值近似预测，以显示和验证基于这两种方法的转子的非线性动力学行为。通过 Hartman-Grobman 定理分析提取解的局部稳定性，得出稳定解和不稳定解的区域以及它们之间的边界。包括各种响应以表明，在大多数情况下，径向控制在避免多稳态解或在旋转盘和定子极腿之间出现摩擦/冲击力方面比笛卡尔控制具有优势。s 振动被提取以显示和验证基于这两种方法的转子的非线性动力学行为。通过 Hartman-Grobman 定理分析提取解的局部稳定性，得出稳定解和不稳定解的区域以及它们之间的边界。包括各种响应以表明，在大多数情况下，径向控制在避免多稳态解或在旋转盘和定子极腿之间出现摩擦/冲击力方面比笛卡尔控制具有优势。s 振动被提取以显示和验证基于这两种方法的转子的非线性动力学行为。通过 Hartman-Grobman 定理分析提取解的局部稳定性，得出稳定解和不稳定解的区域以及它们之间的边界。包括各种响应以表明，在大多数情况下，径向控制在避免多稳态解或在旋转盘和定子极腿之间出现摩擦/冲击力方面比笛卡尔控制具有优势。