Accurate modeling and analysis of the winding inductances of a linear permanent-magnet actuator using an improved Fourier series expansion

Article type: Research Article

Authors: Chen, Jun-Wei^a;

Affiliations: [a] College of Mechanical and Electrical Engineering, Jiaxing University, Jiaxing, China E-mail: cjwbuaa@163.com

Correspondence: [*] Corresponding author: Jun-Wei Chen, College of Mechanical and Electrical Engineering, Jiaxing University, Jiaxing 314001, China. E-mail: cjwbuaa@163.com

Abstract: 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.

Keywords: Winding inductance, linear PM actuator, Fourier series expansion, end effect

DOI: 10.3233/JAE-201571

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 66, no. 2, pp. 297-312, 2021