With the development of edge finite element , the gauge problem is necessary to be solved when magnetic vector potential a . is used . tree - gauge is used in the edge element to assure the unity a . but tree - gauge will lead that the equation is not convergence , and that precision of result turn bad 随着棱边有限元( edgefiniteelement )法的发展,以矢量磁位a为求解变量时规范问题成为需要解决的一个问题。棱单元法中常采用树规范( tree - gauge )来保证a的唯一性。
In chapter 3 , the mathematical modal of electromagnetic and temperature fields is presented by a complex magnetic vector potential , which is also applied to solve eddy current field in ansys software . then , the electromagnetic field analysis , thermal analysis and coupled - field analysis in ansys are introduced 第三章:介绍了ansys中引入复矢量磁位计算电磁场、涡流场的方法以及温度场求解的数学模型,简述了ansys软件中的电磁场、温度场以及耦合场分析。
In this thesis , studies are made on the problem of time - harmonic electromagnetic fields excited by an arbitrary current dipole in spherical conductor . the problem is presented in eddy - current nondestructive test and geophysical prospecting . under the condition of magnetic quasi - static state , the boundary - value problem about modified magnetic vector potential is solved and the analytical solution is obtained 本论文针对涡流无损检测和地球物理勘探领域用到的球导体中时谐电流元的电磁问题做了研究,在磁准静态近似下,求解了修正磁矢量位的边值问题,获得了问题的解析解,并利用通用有限元分析软件做了数值验证。
Through the analyzes of electromagnetic system of a axial symmetry by the method of electromagnetic vector potential , an eddy current field math model is build by triangle cell , this article has researched the effect of power frequency to eddy current density , penetration depth and the skin effect 本文以电磁场矢量位有限元法为基础对二维轴对称场的磁场强度、涡流密度进行了计算求解,采用三角形单元和六面体单元建立了涡流场数学模型,研究了电源频率对涡流密度、透入深度及集肤效应等场量的作用影响。
The solving steps are as follows : the field is divided into three regions by the cylindrical surface of the finite - length cylinder and the location of the delta - coils . because " the surface current source is placed at the interface , the non - homogenous restricted equation on the magnetic vector potential is transformed into the homogenous helmholtz equation . by using the method of separation of variables to solve equation and according to the interface conditions and the condition at infinity to determine the unknown constants , the expressions for the magnetic vector potential of the three regions are solved out 在求解过程中,假定放置式圆柱线圈是由无穷多个对称圆环线圈密饶而成,首先求解含有有限长磁芯的通电对称圆环线圈的电磁场:以有限长圆柱磁芯的侧面和圆环线圈所在圆柱面为分界面将场域划分为三个小区域,由于场源放置在内边界面上,使得关于矢量磁位的非齐次约束方程转化成齐次亥姆霍兹方程,利用分离变量法求解,根据分界面郑州大学硕十研究生毕业论文摘要条件以及无限远条件确定待定常数,从而得到各场区矢量磁位的表达式。
In vector calculus, a vector potential is a vector field whose curl is a given vector field. This is analogous to a scalar potential, which is a scalar field whose gradient is a given vector field.