| 1. | Robot soccer path planning based on vector potential field
基于矢量势场法的机器人足球路径规划 |
| 2. | 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。 |
| 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. | 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。 |
| 5. | 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。 |
| 6. | Based on the deduced vector potentials , the expressions of the electric fields are derived . also the numerical evaluation method of sommerfeld integrals appeared in the expressions is discussed
接着推导出半空间界面附近电偶极子的电场强度的表达式，并讨论表达式中索末菲积分的数值求解方法。 |
| 7. | With the study of boundary condition of vector potentials and the application of image method and sommerfeld integrals , this thesis deduces the vector potentials of vertical and horizontal dipoles near an interface ( both above and below the interface )
本文通过磁矢位边界条件的研究，应用镜象法和索末菲积分，推导出半空间界面附近(包括上、下半空间中)的垂直电偶极子和水平电偶极子的磁矢位。 |
| 8. | 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。 |
| 9. | 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。 |
| 10. | 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。 |
