In this paper, the winding inductances of a linear ironless permanent-magnet synchronous actuator for high-precision applications is discussed. Different from rotary motors for conventional applications, high-order harmonics and the end effect due to discontinuous structure are considered. From such considerations, an improved Fourier series expansion is applied to the proposed distributed-parameter model of the linear winding. The calculated inductance matrix is of high accuracy, and presents a new non-uniform form. New features of the inductance matrix are analyzed, and the decoupling scheme is implemented via variable transformation and real-time updating inductances.

中文翻译：

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使用改进的傅立叶级数展开对线性永磁执行器的绕组电感进行精确建模和分析

本文讨论了用于高精度应用的线性无铁永磁同步执行器的绕组电感。与常规应用的旋转电机不同，考虑了高次谐波和由于结构不连续而产生的最终效应。基于这些考虑，将改进的傅里叶级数展开应用于提出的线性绕组的分布参数模型。计算出的电感矩阵具有很高的精度，并且呈现出一种新的不均匀形式。分析了电感矩阵的新特性，并通过变量变换和实时更新电感实现了去耦方案。