新型旋转电磁热机三维电磁场方程的求解及相关电磁参数的研究

Solution of the 3D Electromagnetic Equation and Research on Related Electromagnetic Parameters of the Novel Rotational Electromagnetic Heating Machine

建立了旋转电磁热机的三维简化模型,在此基础上给出了三维电磁场方程。结合实际的磁通分布,给定方程的边界条件,并利用分离变量法求出其解析解。利用电磁场方程的解析解,推导出电磁热机端部系数的计算公式。利用基于二维有限元法的电磁热机热功率算法,实际计算了一台样机的热功率,并对其进行了测试。计算和测试结果表明,经过端部系数修正后的热功率计算值与测试值接近。对方程的解析解进一步分析得到电磁热机结构参数与热功率之间的解析表达式,利用其计算得到极对数、气隙长度、定子内径和铁心长度与热功率的关系曲线,并进行了相关分析。

The simplified 3D model of the electromagnetic heating machine（EMHM） is built,and based on it,the 3D electromagnetic equations are given.According to the actual flux distribution,the boundary conditions of the equations are defined,and its analytical solutions are obtained by the method of separation of variables.The calculated expression of the end coefficient of the EMHM is deduced with the solutions.By using the thermal power arithmetic of the EMHM based on the 2D finite element method,the thermal power of a prototype is calculated and tested.Meanwhile,it is indicated that through modification by the end coefficient,the calculated values is approximated to the measured values.Through analysis of the solutions,an analytical expression which presented the relationship between the structure parameters and thermal power is gained,and the curves of poles,airgap length, stator inner diameter and iron length vs.thermal power are received and discussed extensively.