Computationally efficient simulation of a lossy transmission line with skin effect by using numerical inversion of Laplace transform

Two computationally efficient methods for simulating a lossy transmission line are developed. The lossy transmission line is represented as a two-port network consisting of characteristic impedances and waveform generators. Equivalent circuits are synthesized for the characteristic impedances, and the values of the waveform generators are computed by performing convolution integrals. Simulated annealing is used for optimal synthesis of the characteristic impedances. To evaluate the convolution integrals, two different methods were devised. One uses the impulse response of the exponential propagation function H(s), while the other utilizes the unit step response of the same function. The first method can be applied to simulation of a general RLCG transmission line. The second, which utilizes a numerical technique, is well suited for simulating a lossy transmission line with or without skin effect. Both methods improve the previous art by a factor of two or more in terms of the computation time.>