Precision machining fields require the worktable to have a large-scale multi-degree-of-freedom motion capability. In order to provide a more accurate magnetic model for the control strategy decoupling process and the size parameter optimization design process of the maglev rotary table. This paperproposes a new magnetic modeling method based on the Two-Dimensional Harmonic method. Different from the existing harmonic method, this method simultaneously considers the tangential and radial magnetic field changes of circumferential magnetic array. And it eliminates the edge effect of the magnetic flux density distribution in the radial aperiodic direction. The magnetic force and torque are solved by the Lorenz integral formula and the Gaussian quadrature method. In order to verify the accuracy of the TDH method, the boundary element software RadiaTM is used for simulation, and a prototype is made for measurement. The experimental results shown that this method reduced the maximum error of the radial edge magnetic field from 104.19% to 3.29%. And it improved the calculation accuracy of magnetic force and torque by 60.74% and 84.39% respectively. This method does not rely on special example, and is beneficial to cross-platform applications. It is more suitable for realizing the magnetic modeling of the maglev rotary table with both rotational motion and large-stroke translational motion.

中文翻译：

---

磁悬浮转台的磁性建模新方法

精密加工领域要求工作台具有大规模的多自由度运动能力。为了为磁悬浮转台的控制策略解耦过程和尺寸参数优化设计过程提供更准确的磁性模型。提出了一种基于二维谐波法的磁性建模方法。与现有的谐波方法不同，该方法同时考虑了圆周磁阵列的切向和径向磁场变化。并且消除了沿径向非周期性方向的磁通密度分布的边缘效应。磁力和转矩通过Lorenz积分公式和高斯正交方法求解。为了验证TDH方法的准确性，边界元素软件RadiaTM用于仿真，并制作了用于测量的原型。实验结果表明，该方法将径向边缘磁场的最大误差从104.19％降低到3.29％。磁力和转矩的计算精度分别提高了60.74％和84.39％。此方法不依赖于特殊示例，并且对跨平台应用程序有益。它更适合通过旋转运动和大行程平移运动实现磁悬浮转台的磁性建模。分别为74％和84.39％。此方法不依赖于特殊示例，并且对跨平台应用程序有益。它更适合于通过旋转运动和大行程平移运动实现磁悬浮转台的磁性建模。分别为74％和84.39％。此方法不依赖于特殊示例，并且对跨平台应用程序有益。它更适合于通过旋转运动和大行程平移运动实现磁悬浮转台的磁性建模。