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

The paper presents an innovative way for a simulation of multiconductor transmission line (MTL) circuits which combines the Laplace transformations in one and in two variables. This approach enables computation of both nodal voltages (branch currents) in lumped-element parts of a circuit and voltage (current) waves distributions along MTL wires effectively. The first one is performed by the numerical inversion of 1D Laplace transforms when the solution in frequency s-domain 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 (numerical inversion of Laplace transforms) methods utilize the FFT in conjunction with quotient-difference algorithm to provide the high speed calculation and precision of results.