magnetic vector potential造句

• 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。
• 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。
• The main work is as follows : for the magnetic vector potential , the principle of calculus of variations is applied to convert the elliptical boundary value problem into
  随着磁芯高度和半径的增大，线圈阻抗增量增大，当磁芯高度超过某一值时，线圈阻抗趋于稳定。
• 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。
• 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。
• 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。
• 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。
• 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。
• Secondly , some recently research results and some unsolved problems about the magnetic vector potential a , electric scalar potential and magnetic scalar potential of the transient eddy current formulation are deeply analyzed in the paper and the magnetic vector potential a is chosen to calculate the specified physical model discussed in this paper
  其次，概括地分析了国内外对向量磁位( ? ) 、标量电位、标量磁位的研究现状及存在的问题，在此基础上，确定用向量磁位( ? )来计算永磁操动机构的物理模型，并证明在二维非线性情况下，库仑规范自然满足。
• Firstly , in spherical coordinate system , the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived , using reciprocity theorem and transforming relations between special functions . then , selecting appropriate coordinate system , using superposition principle , the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained . finally , by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1 , the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located
  首先利用特殊函数间的转化关系和互易定理推导得到了无限大导体空间中球坐标下时谐电流元电磁场的二阶矢量位形式：然后利用叠加原理，选择合适坐标系，求解了导体球中时谐电流元的修正磁矢量位边值问题，得到了问题的解析解；最后依据不同坐标系下电磁场解的转化原理，借助勒让德多项式和n次1阶球谐函数的加法公式，将坐标系特殊安放时的电磁场解析解变换到坐标系一般安放时的解析解，给出了球内电场和球外磁场的并矢格林函数。
• The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial . the relations among the magnetic vector potential , the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one . it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given
  利用坐标旋转后球坐标变量间的关系和连带勒让德多项式的性质推导得到了n次1阶球谐函数的加法公式；以递进的方式说明磁矢量位、修正磁矢量位与二阶矢量位的关系，写出了引入二阶矢量位的过程；以时谐场矢量边值问题为例，阐明了不同坐标系下电磁场解的相互转化原理，给出了一个解析解的转化例子；在球坐标下，引入了较球矢量波函数更普遍的两类矢量函数，给出了其在球面上的正交关系。
• Using maxwell electromagnetic equations , by solving the boundary - value problem of magnetic vector potential , analytical expression to impedance increment of the solenoid coil in eddy current testing of the medium in half space was given . theoretical result was modeled in computer . results showed the validity and feasibility of the model
  利用maxwell电磁方程组，通过求解矢量磁位的边值问题得到了矢量磁位的解析解，进而导出了媒质上方放置式空心线圈的阻抗增量解析式，并对阻抗变化表达式进行单层板厚度和三层板间隙的检测模型进行了仿真。