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。
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。
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。
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。
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.