【目的】气隙磁场精确解析是精密永磁直线同步电机(PMLSM)研究的热点。【方法】本文以梯形Halbach永磁阵列无铁心直线同步电机次级的二维气隙磁场为研究对象,基于等效面电流法,提出了以梯形边长为单元的改进等效解析算法;建立了二维气隙磁感应矢量的等效解析模型。【结果】计算出梯形Halbach阵列无铁心PMLSM的气隙磁场。研究结果表明:α和αw对气隙中心磁场的Bpeak和THDB影响较大;在α和αw的协同作用下,聚磁效应使Bpeak的极大值区域为α>90° & αw<0.5;等边效应使THDB的极小值区域呈直线型变化。【结论】本文建立的改进等效面电流解析模型计算结果和有限元验证结果一致性较好,计算方便,结果精度高。本研究为非矩形截面永磁体气隙磁场解析提供了新方法,同时也为PMLSM磁极模型优化提供了参考。

Abstract: [Objective] Accurate analysis of the air gap magnetic field is the focus of research in the field of precision permanent magnet linear synchronous motor (PMLSM). [Methods] Two-dimensional air gap magnetic field of a secondary trapezoidal Halbach permanent magnet array coreless PMLSM was taken as the research object at the paper. On the basis of the equivalent surface current method, an improved equivalent analytical algorithm with a trapezoidal side length unit was proposed. The equivalent analytical model of the magnetic induction vector of the two-dimensional air gap was established. [Results] And the air gap magnetic field of the trapezoidal Halbach array coreless PMLSM was calculated. The results showed that α and αw have a significant influence on the Bpeak and THDB of the central magnetic field air gap. With the synergy of α and αw, identified the flux convergence effect, which makes the maximum range of Bpeak α>90° and αw<0.5. And the equilateral effect, which causes the minimum region of THDB to change linearly. [Conclusion] The calculation results of the established improved equivalent surface current analytical model in this paper agree with those verified by the finite element method. The calculation is convenient, and the accuracy of the result is high. This research provides a new method for analyzing the air gap magnetic field of a permanent magnet with a nonrectangular cross-section, and also prorides a reference for optimizing the PMLSM pole model.

国家自然科学基金(51705390);西安工商学院大学生创新训练计划项目(202413682001);2024年度西安工商学院教学改革研究项目(24YJZ03)