The electrodynamic suspension reaction sphere (EDSRS) is regarded as a novel actuator for the spacecraft attitude control system. The omnidirectional rotation of the EDSRS spherical rotor brings about the dynamic distortion of the electromagnetic force and torque characteristics. With the mechanical structure of the EDSRS simplified and equivalent to multi-degrees of freedom (DOF) single-sided linear induction motor (LIM), this article first proposes a 3-D LIM analytical electromagnetic force model by employing the electromagnetic physical quantities in the 2-D Fourier series expansion form. Then, an analytical electromagnetic force and torque model considering the electromagnetic dynamic distortion effect (EDDE) of the EDSRS is established based on the previous LIM force model according to the motion decomposition principle. Finally, the proposed analytical EDDE model is experimentally validated on the developed laboratory prototype.

中文翻译：

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基于感应的电动悬浮反应球的电磁动态畸变效应建模


电动悬浮反应球（EDSRS）被认为是航天器姿态控制系统的新型执行器。 EDSRS球形转子的全向旋转带来了电磁力和扭矩特性的动态畸变。本文通过简化 EDSRS 的机械结构并等效于多自由度（DOF）单侧直线感应电机（LIM），利用电机中的电磁物理量提出了 3 维 LIM 解析电磁力模型。二维傅立叶级数展开形式。然后，根据运动分解原理，在之前的LIM力模型的基础上，建立了考虑EDSRS电磁动态畸变效应（EDDE）的解析电磁力和扭矩模型。最后，所提出的分析 EDDE 模型在开发的实验室原型上进行了实验验证。