基于有限元的永磁直线电机相变量建模方法研究
FE-BASED PHASE VARIABLE MODELING of PM LINEAR MOTORS
针对永磁直线电机控制系统的精确动态仿真,本文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。对一种永磁直线电机进行了两相导通控制和恒压频比控制下的控制系统仿真实验,仿真结果表明本文提出的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。
novel symbolic-numeric formulation with high efficiency is presented for linear vibration analysis of spatial mechanism systems with holonomic constraints, using systematic topology transformation instead of solving constraint equations. Based on uniform transformation of vibrational displacements, formulation of minimal set of second-order linear ordinary differential equations (ODEs) can be easily completed in three steps. Firstly, a set of linearized ODEs are formulated in terms of absolute coordinates without considering any constraint in the system. Secondly, an open-loop constraint matrix is generated to formulate ODEs for an open-loop mechanism system which is obtained by ignoring all cut-joints in the original system. Finally, a cut-joint constraint matrix is generated to formulate a minimal set of ODEs for the original closed-loop mechanism system. Since there is no need for derivation of matrices and linearization of equations, computational efficiency can be significantly improved by using the proposed method as compared with traditional approaches. The correctness and efficiency of the proposed method are then verified by numerical experiments on mechanism systems with different kinds of constraint topologies. The presented algorithm is particular effective for sensitivity analysis and optimization of large-scale mechanism systems.
伞晓刚、李长诗、陈学东、农先鹏、曾理湛
电机
相变量模型永磁直线电机有限元S-function推力纹波
phase variable modelpermanent magnetlinear motorFES-functionforce ripple
伞晓刚,李长诗,陈学东,农先鹏,曾理湛.基于有限元的永磁直线电机相变量建模方法研究[EB/OL].(2009-02-17)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/200902-848.点此复制
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