COMPUTATIONALLY EFFICIENT SIMULATION OF A LOSSY TRANSMISSION-LINE WITH SKIN EFFECT BY USING NUMERICAL INVERSION OF LAPLACE TRANSFORM

We present two new computationally efficient methods for simulating a lossy transmission line. The lossy transmission line is represented as a two-port network which consists 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 optimization technique is used for optimal synthesis of the characteristic impedances. For the evaluation of the convolution integrals, two different methods were devised. Method 1 uses the impulse response of the exponential propagation function H(s), while Method 2 utilizes the unit step response of the same function. Method 1 can be applied to simulation of a general RLCG transmission line. Method 2, which utilizes a numerical technique, is well suited for simulating a lossy transmission line with or without skin effect. It is demonstrated that both methods improves the previous art by a factor of two or more in terms of the computation time.