Solution of the 3D electromagnetic equation and research on related electromagnetic parameters of the novel rotational electromagnetic heating machine

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.