用状态方程求解瞬态电磁场

Solution of the Transient Electromagnetic Field Using State Equations

描述导体中瞬态电磁场问题的基本方程是涡流方程－ 将涡流方程进行空间离散以后，在每个离散节点上所得到的空间离散方程与动态电路中一种典型节点所形成的节点电压方程有相同的形式－ 根据相似理论，整个离散后的瞬态场域可用一个动态网络进行模拟－ 由于每个节点电压恰好为每节点上等效电容电压，因此，整个离散场域便可由一组状态方程来描述－ 这样，求解瞬态电磁场问题就转化为状态方程的求解问题－ 通过实例计算，得到比较满意的结果－

The basic equation which is used to describe transient electromagnetic field problem is eddy-current equation.After the spatial discretization of an eddy-current equation,it has the same form with the nodehas voltage equation on a typical node.All discrete transient field region can be modelled with a dynamic network by similar theory.Because the voltage on each node has been equalled to the voltage on the equivalent capacitance.All discrete field region can be described with a set of state equations.Therefore,the transient electromagnetic field problem is transformed a problem of solving state equations.The calculated results are satisfactory by the example.