Flux Characteristics Analysis of Single-Phase Tubular Permanent Magnet Linear Motor

The flux characteristics of a single-phase tubular permanent magnet linear motor (TPMLM) are analyzed with a magnetic equivalent circuit (MEC) method in this paper. First of all, the single-phase TPMLM is mainly divided into five parts, including stator sleeve, stator yoke, air gap, the permanent magnetic part of mover, and the ferromagnetic part of mover. In consideration of saturation, the flux linkage of the single-phase TPMLM at four special mover positions can be calculated with the help of the magnetic tube method and Gauss-Seidel iteration. The nonlinear relationship between flux linkage, mover position, and current can be mapped utilizing a high-order Fourier series with the flux linkage data obtained from the MEC method. It is consistent with a three-dimensional finite element method and experimental data. What is more, the simulated dynamic and static performance of the TPMLM are also consistent with experimental data, which verifies the effectiveness of the proposed MEC method.