SIMULATION OF LOSSY MULTICONDUCTOR TRANSMISSION-LINES USING BACKWARD EULER INTEGRATION

This paper presents a fixed time-step backward Euler integration algor ithm for the time domain analysis of linear circuits containing multic onductor lossy transmission lines, The new method requires the frequen cy derivatives of the circuit equations at a frequency point on the po sitive real axis that is related to the integration time step, The tra nsient response is obtained efficiently from a single inversion of the circuit matrix, Although it is not as accurate as trapezoidal integra tion, the backward Euler integration is stable and gives smooth low-pa ss approximations for the actual response, In this paper, it is also s hown that in case of impulse function excitation, the backward Euler r esults are equivalent to the shifted moments of the impulse response w ith an appropriate scaling of the frequency-dependent variables of the circuit, Numerical examples are presented for verification of the pro posed method.