T. Noda et al., PHASE DOMAIN MODELING OF FREQUENCY-DEPENDENT TRANSMISSION-LINES BY MEANS OF AN ARMA MODEL, IEEE transactions on power delivery, 11(1), 1996, pp. 401-411
This paper presents a method for time-domain transient calculation in
which frequency-dependent transmission lines and cables are modeled in
the phase domain rather than in the modal domain. This avoids convolu
tion due to the modal transformation, and possible numerical instabili
ty due to mode crossing. In the new approach, time domain convolutions
are replaced by an ARMA (Auto-Regressive Moving Average) model that m
inimizes computation and is EMTP-compatible. A fast and stable method
to produce the ARMA model is developed, and results are shown to agree
well with both rigorous frequency-domain simulations and also field t
ests.