A novel integration method for transient analysis of interconnects with frequency-dependent parameters

This paper presents an effective numerical method for transient analysis of interconnects with frequency-dependent parameters. The analysis starts from frequency-do main Telegrapher's equations, and the time-domain equations including convolutions are obtained by inverse Laplace transform. With the discretization of the spatial variation of the voltages and currents along the transmission lines while remaining the temporal derivatives unchanged, the Telegrapher's equations are approximately transformed into a set of first-order ordinary differential equations. These equations can be solved with the precise integration method. The numerical convolution items are calculated by recursive algorithm, which leads to the high efficiency of the proposed method. Numerical example is presented to demonstrate the stability and accuracy of the proposed method.