Simulation of multiconductor transmission line circuits combining 1D and 2D Laplace transformations

The paper presents an innovative way of a simulation of multiconductor transmission line (MTL) circuits which combines the Laplace transformations in one and in two variables. This approach enables to compute both nodal voltages (branch currents) in lumped-element parts of a circuit and voltage (current) waves distributions along MTLs’ wires effectively. The first one is performed by the numerical inversion of ID Laplace transforms when the solution in frequency d o m a i n is formulated using a modified nodal admittance equation method (MNA). The second one is done by the numerical inversion of 2D Laplace transforms when the solution appertaining to distributed parts of the circuit is formulated in the (q,s)-domain. Both NILT methods utilize the FFT in conjuction with quotient-difference algorithm to provide the high speed of calculation and precission of results.