The mathematical model of non - linear transient magnetic field excited by voltage source is established in this paper . it coupled with electric circuit equation and mechanical motion equation , could solve the transient problem excited by voltage source , and the effect of the eddy currents , non - linearity in magnetic materials and mechanical motion of medium is taken into account 文中建立了电压源激磁下的非线性瞬态磁场的数学模型，通过把瞬态磁场方程、电路方程及机械运动方程耦合在一起，得出求解电压源激磁下，考虑铁磁材料的非线性、导电媒质的涡流及媒质机械运动等条件下的瞬态过程问题。
