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为了精确高效地计算非均匀传输线中的电磁暂态过程,提出了一种称为任意差分精细积分法的新型时域计算方法来计算非均匀传输线中的电磁暂态过程,该方法是空间域任意差分法和时间域精细积分法的结合,既能根据非均匀传输线的特性来任意地构建差分方程,同时又能够消除时间稳定性条件(CFL)的限制。采用该方法计算垂直导体中的电磁暂态过程,并与有限差分法和EMTP方法所得的结果比较。结果表明,由于该方法能够实现局部点加密,同时时间步长的选取不受稳定性条件的限制,该方法在相同的计算精度下具有更高的效率。
In order to calculate the electromagnetic transient process in the non-uniform transmission line accurately and efficiently, a new time-domain calculation method called arbitrary differential precise integration method is proposed to calculate the electromagnetic transient process in the non-uniform transmission line. The combination of the difference method and the time-domain precise integration method can both construct the difference equation arbitrarily according to the characteristics of the non-uniform transmission line and at the same time eliminate the limitation of the time stability condition (CFL). This method is used to calculate the electromagnetic transient in vertical conductors and compared with the results obtained by finite difference method and EMTP method. The results show that this method is more efficient with the same computational accuracy because it can implement local point encryption while the time step selection is not limited by the stability conditions.