CAJ | 학술논문

将径向基点配置法应用于求解运动导体涡流电磁问题,提出一种基于运动坐标系的叠加径向基点配置算法来求解描述瞬态涡流磁场的对流扩散麦克斯韦方程。求解域内的磁场被视作由激励电流与感生涡流2种电流所产生磁场的叠加,并在运动坐标系下分别用径向基函数来拟合,根据径向基点配置法的控制方程呈线性这一特点,对其进行解耦并构造时域迭代来求解。这样就把导体的运动转化为坐标系之间的相对运动,迭代过程中在各自坐标系下的径向基模型始终保持不变,避免了因导体运动造成的模型重铸。为了验证该算法的有效性,求解了基准问题TEAM workshop problem 28以及一个电磁线圈弹射系统的动态过程,所得结果与文献中的实验结果相符合。
장경향기점배치법응용우구해운동도체와류전자문제,제출일충기우운동좌표계적첩가경향기점배치산법래구해묘술순태와류자장적대류확산맥극사위방정。구해역내적자장피시작유격려전류여감생와류2충전류소산생자장적첩가,병재운동좌표계하분별용경향기함수래의합,근거경향기점배치법적공제방정정선성저일특점,대기진행해우병구조시역질대래구해。저양취파도체적운동전화위좌표계지간적상대운동,질대과정중재각자좌표계하적경향기모형시종보지불변,피면료인도체운동조성적모형중주。위료험증해산법적유효성,구해료기준문제TEAM workshop problem 28이급일개전자선권탄사계통적동태과정,소득결과여문헌중적실험결과상부합。
This paper applied the radial basis function（RBF） collocation method to solve electromagnetic problems with moving conductors.A superposition RBF collocation method under moving coordinate system was presented to compute the convective-diffusion Maxwell equations of the transient eddy current magnetic field.The field,which was regarded as a superposition of two fields generated by the excitation current and the eddy current respectively,was constructed with RBFs in separate moving coving coordinate systems.According to the linear property of the RBF collocation model,the corresponding governing equations could be directly decoupled and solved through time-domain iteration.Therefore,the motion of the conductor could be transferred into the relative motion between coordinate systems.And the RBF model would not change during the iteration,which avoided the model reconfiguration due to the conductor motion.To examine the method,two numerical examples： TEAM workshop problem 28 and an electromagnetic launcher system were computed.The results agreed well with the experiment data shown in literatures.