A novel time-domain integration method for transient analysis of nonuniform transmission lines

This paper presents a precise time-step integration method for transient analysis of lossy nonuniform transmission lines. The spatial discretization in this method is the same to the finite difference time domain (FDTD) algorithm. However, in order to eliminate the Courant condition constraint, the precise integration method is utilized in the time-domain calculation. It gives quasi-exact solutions in time domain for the spatial discretized Telegrapher's equations. Since the exponential matrix is calculated precisely, large time step can be adopted in the integration process to achieve accurate results efficiently. A numerical example is presented to demonstrate the accuracy and stability of the proposed method.