多脉冲磁场下刚性导电薄板涡电流热效应分析

Analysis on Eddy Current Thermal Effect of the Rigid Conductive Thin Plate Under Multi-pulse Magnetic Field

针对处于多脉冲磁场下感应加热系统装置中的刚性导电薄板,基于麦克斯韦电磁场方程组及导热微分方程,建立了涡电流场和温度场的理论模型。对涡电流初边值问题及由涡电流热效应引起的温度场定解问题的空间部分采用有限元法,时间部分采用Crank-Nicolson法,给出了计算程序的求解步骤,并进行了定量模拟。仿真结果表明,脉冲次数使得构件的涡电流和温度逐步增加,随后其大小趋于稳定的值,而后来的周期性脉冲只不过是保持这个恒定值不衰减。该结论为电磁感应加热设备的革新改造提供了有效的技术参考。

Based on Maxwell＇s equations and the thermal conduction differential equation, a theoretical model for rigid conductive thin plate of induction-heating system under multi-pulse magnetic field was established with eddy current field and temperature field included. The numerical steps of algorithm routine along with quantitative simulation were given by adopting the finite element method for the spatial part in the eddy current initial boundary-value problem and the determining-solution problem of temperature field arisen from eddy current thermal effect, and the Crank-Nicolson methods for the time part. The simulation results indicate that the eddy current and the temperature increase with the pulse times, and tend to stable values, thereafter seasonal impulses just only to keep this constant value not diminishing. It provides effective technical reference for innovation of the electromagnetic induction-heating equipment.