针对永磁直线电机控制系统的精确动态仿真，提出了一种基于有限元的永磁直线电机一般化相变量建模方法。考虑电机非理想结构对推力的影响，建立了永磁直线电机的一般化相变量模型。采用3次样条插值，根据电磁场有限元计算结果获得了模型中电感、齿槽力、永磁体产生的磁链与动子位置的关系曲线。考虑功率电子模块中吸收电路的影响，提出了一种基于S-function的仿真建模方法，根据相变量模型的状态方程直接建立了Simulink下的永磁直线电机一般化仿真模型。对某种永磁直线电机进行了两相导通控制和id=0矢量控制下的控制系统仿真实验，仿真结果表明，基于有限元的相变量模型为永磁直线电机控制系统精确动态分析提供了一种快速、有效的一般化建模方法。

This paper proposes a general finite element (FE) based phase variable modeling method of permanent magnet (PM) linear motors for the accurate dynamic simulation of drive systems. A general phase variable model of PM linear motors is established taking account of the effects of the nonideal geometrical structure on the thrust force, in which the mover position dependent variables are obtained from FE solutions using the cubic spline interpolation. Considering the effect of the snubber circuits of the power electronic devices, a new S-function based modeling method is proposed, with which a general simulation model of PM linear motors is directly implemented in Simulink using the state space equations. Simulation results of a PM linear motor driven in both two-phase conduction mode and id=0 vector control mode show that the FE-based phase variable model provides a fast, accurate and efficient modeling method for the integrated PM linear motor drive systems dynamic analysis.

国家重点基础研究发展规划基金项目(973项目) (2003CB716206)；国家自然科学基金项目(50605025)；河南省杰出人才创新基金项目(0621000300)。