考虑永磁磁链谐波影响的直线永磁无刷直流电机矢量控制方法

针对直线永磁无刷直流电机(linear permanent magnet brushless DC motor，LPMBDCM)电磁力纹波及齿槽力影响的最小化控制，该文根据推导得到的表示为电流矢量及永磁磁链导数矢量点积形式的电机推力方程，得出了任意反电动势(back-electromotive force，BEMF)波形表面式永磁(surface- mounted permanent magnet，SPM)电机的矢量控制原理：定向控制电流矢量于永磁磁链导数矢量方向，通过控制电流矢量长度可获得最大效率线性推力(或转矩)控制。考虑永磁磁链谐波对永磁磁链导数矢量幅值及相位的影响，通过引入d￠q￠轴坐标系，提出一种id￠=0的非正弦波BEMF SPM电机矢量控制新方法，结合齿槽前馈补偿可以实现非正弦BEMF SPM电机的最小推力纹波最大效率控制。建立了基于有限元的LPMBDCM 精确相变量模型，对比脉宽调制(pulse width modulation，PWM)电流控制、id￠=0矢量控制的仿真效果，验证了该文方法的有效性。id￠=0矢量控制为非正弦波BEMF SPM电机提供了一种高性能控制新方法。

Vector Control of Linear PM Brushless DC Motor Considering Effects of PM Flux Linkage Harmonics

To minimize the force ripple of linear permanent magnet brushless DC motor (LPMBDCM), which is mainly consisted of the electromagnetic force ripple and cogging a vector control principle of surface-mounted permanent magnet (SPM) motors with any back-electromotive force (BEMF) waveform is derived through the force equation in the dot product form of the current vector and the PM flux linkage derivative vector. To control the current vector on the direction of the PM flux linkage derivative vector, a novel id￠=0 vector control scheme of non- sinusoidal BEMF SPM motors is proposed based on the d￠q￠ reference frame considering the effects of the PM flux linkage harmonics on the amplitude and phase of the PM flux linkage derivative vector. With the id￠=0 vector control and the feedforward compensation of cogging, the minimum force ripple and maximum efficiency control of non-sinusoidal BEMF SPM motors can be obtained. Based on an accurate FE-based phase variable model of a LPMBDCM, the validity of the proposed method is verified through the comparison of the performances of pulse width modulation (PWM) current control and id ￠=0 vector control. The id￠=0 vector control provides a novel high perform- ance control method for non-sinusoidal BEMF SPM motors.