平动式啮合电机的非线性等效磁路模型

Nonlinear model of translational meshing motor based on magnetic equivalent circuit method

针对平动式啮合电机独特的运行原理和磁场分布,建立了适合对该电机运行性能进行分析的非线性等效磁路模型。该模型借用磁力线和等磁位线互换的方法,将磁力线分布不均匀的磁通管引入到模型中,在对电机磁场分布不均和磁路局部饱和现象进行有效处理的同时,减少了模型中磁通管单元的数量,使模型简化并兼顾了求解精确度。在该模型的基础上,推导了电机绕组满足的以绕组磁链为状态变量的微分方程,建立了电机稳态运行分析的数学模型。对样机单相导通状态下的稳态运行特性进行了仿真分析,其结果与非线性磁参数法所得结果相吻合,表明该模型可以作为平动式啮合电动机性能分析和优化设计的有效手段。

A new nonlinear model is founded by Magnetic Equivalent Circuit （MEC） method to analyze the dynamic behavior of translational meshing motor （TMM）. Through the exchange principle of magnetic line of force and magnetic equipotential line, the tube in which the flux distribution was non-uniform was applied to the model. With these measures, the local saturation of the motor was treated and the model was simplified. Based on the model, a steady state analysis model of the TMM was founded with the state equations established by taking the flux linkages of the phase windings as state variable. And the steady state characteristics of the prototype were obtained under single-phase excitation by the steady state analysis model. Compared with nonlinear magnetisation data method results, the new model is proved more concise and more precise. Key words： translational meshing motor; magnetic equivalent circuit method; the nonlinear model;