| 1. | The boundary value problem on the magnetic vector potential a is derived by introducing the magnetic vector potential a and using maxwell ' s equations
通过引入矢量磁位a并利用麦克斯韦方程组推出了以矢量磁位a为求解对象的边值问题。 |
| 2. | Based on the electromagnetic theories , this dissertation presents analytical method to solve the magnetic field caused by the air - cored solenoid coil
本论文从电磁场理论出发分析了空心圆柱线圈的磁场，并利用矢量磁位求出了线圈的电感。 |
| 3. | Finally , the impedance analytical expression for the solenoid coil with a finite - length ferrite core carrying time - harmonic current is obtained through the magnetic vector potential
最后由矢量磁位得到带有限长磁芯的放置式通电圆柱线圈的阻抗解析表达式。 |
| 4. | Then , using the principle of superposition and integrating the delta - coils , we can obtain the expressions for the magnetic vector potential caused by the cylindrical coils carrying current
然后，应用叠加原理，并对圆环线圈进行积分，求得各场区通电圆柱线圈的矢量磁位表达式。 |
| 5. | A modified peec model was introduced , in which the integral definition of vector magnetic potential and the lorentz gauge are used to expand the integral equation to derive the peec
摘要提出了一种改进的部分元等效电路模型，它以矢量磁位的积分表达式和洛仑兹规范代替了矢量磁位和标量电位的积分表达式，对积分方程进行展开。 |
| 6. | Regarding the discrete magnetic vector potential and loop currents as the state variables , and combining the fem with the multi - loop method , a mathematical model of the synchronous machine with internal faults is set up in this paper
本文以矢量磁位和回路电流为求解变量，把电机的电磁场方程与反映绕组联接情况的电路方程联立起来同时求解，提出了同步发电机定子绕组内部故障的瞬态电磁场与多回路耦合的数学模型。 |
| 7. | And the expression of magnetic flux density b is got by making use of the relation of magnetic vector potential a and magnetic flux density b . finally , the equation of the magnetic flux lines is given by way of describing the distributing of the magnetic field
通过求解该边值问题得到了相应的矢量磁位a的解析表达式，然后利用矢量磁位a和磁感应强度召的关系求得了磁感应强度b的解析表达式。最后为了更直观地描述磁场的分布给出了相应的磁力线方程。 |
| 8. | Using the vector potential , the expression for calculating inductance of air - cored solenoid coil is derived in the dissertation . and the calculating methods of function t in the calculating expression are given for the convenience of the calculation of inductance while the precision is not strictly requested
利用矢量磁位a直接推导出了通电空心圆柱线圈电感的计算表达式，给出了求解计算式中函数t的计算方法，以方便精度要求不高时的电感计算。 |
| 9. | 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。 |
| 10. | 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。 |
