摘要：空心圆柱线圈在电子、电气、无线电等领域中有着广泛的应用。电感值的大小取决于线圈的尺寸大小和形状。它是表征线圈自身属性的一个量。磁场能量和线圈之间的作用力等问题都与电感密切相关，因此如何快速、简便、高精度计算空心圆柱线圈的电感就成为了一个重要的问题。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磁场强度。6169
通过参考现有的文献，利用matlab程序实现了：
1.在给出一系列合理假设的情况下，建立求解空心圆柱线圈磁场所需的求解模型。
2.通过引入矢量磁位月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。通过求解该边值问题得到了相应的矢量磁位注的解析表达式，然后利用矢量磁位A和磁感应强度B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。
3.本论文利用数值分析方法模拟空心圆柱线圈的电磁场可为空心圆柱线圈的设计提供理论指导。
关键词:空心圆柱线圈;磁场强度;矢量磁位;Matlab
Numerical simulation of electromagnetic field of hollow cylindrical coil
Abstract: Hollow cylindrical coil is widely used in the field of electronic, electrical, radio etc.. The inductance value depends on the size of the coil size and shape. It is one of the attributes of the coil. Magnetic energy and interaction between coils and other issues are closely related with the inductor, inductance and therefore how fast, convenient, high precision of calculation of the coil becomes an important problem. In this paper, starting from the theory of electromagnetic field analysis of hollow cylindrical coil magnetic field, and the magnetic vector potential to calculate the magnetic field coil.
The main work and conclusions are summarized as follows:
1 by giving a series of rational assumptions, solving model of air-cored solenoid coil is built.
2 by introducing the magnetic vector potential a month and the introduction of the magnetic vector potential A for solving the boundary value problem by using the Maxwell equations. The problem has been corresponding analytical expressions of the magnetic vector potential note by solving the boundary value, then the expression of magnetic induction B was obtained by using the magnetic vector potential A and magnetic induction intensity B. Finally, in order to give a more intuitive description of the distribution of magnetic flux of the corresponding equations.
3 the paper, to provide theoretical guidance for the design of electromagnetic field simulation of hollow cylindrical coil by the numerical method can be a hollow cylindrical coil.
Keywords: Hollow cylindrical coil; magnetic field strength; magnetic vector potential; Matlab
 
目录
1绪论1
1.1引言1
1.2空心圆柱线圈的概况1
1.3课题的意义和内容2
1.4空心圆柱线圈电感计算的研究现状3
2MATLAB简介与矢量场4
2.1MATLAB简介4
2.2MATLAB 与向量5
2.2.1 向量场的散度5
2.2.2 向量场的旋度6
3空心圆柱线圈Biot-Savart磁场分析9
3.1空心圆柱线圈的数学模型9
3.2BIOT-SAVART计算方法10
3.3BIOT-SAVART法基于MATLAB分析过程12
3.3.1 单匝线圈磁场的磁感线方向12
3.3.2 根据上诉程序使用渲染效果制图15
4基于有限元方法空心线圈电磁场分析18
4.1电磁场有限元分析简介18
4.1.1 用有限元法解决饱和磁场的问题18
4.1.2 变分公式和有限元方法19
4.1.3 有限元求解问题的分析过程:22
4.2MATLAB网格化分24
4.3螺线管2文静态磁场有限元分析27
4.3.1 单匝圆环线圈的矢量磁位27
4.3.2 矢量磁位的边值问题28
4.3.3 理论基础28 matlab空心圆柱线圈的电磁场数值模拟+源代码:http://www.751com.cn/zidonghua/lunwen_3520.html