A full frequency dependent line model based on folded line equivalencing and latency exploitation

- Improvement of numerical efficiency of time-domain implementation of pole-residue representation of the nodal admittance matrix.
- Enhancements on the Multiple Companion Networks (MCN) technique.
- Latency exploitation on the admittance-based folded line equivalent model.

This work proposes to improve the numerical performance in the rational modeling of full frequency dependent transmission lines. In this paper, latency is used to improve the numerical efficiency of time-domain implementation of the pole-residue representation of the nodal admittance matrix in the case of frequency dependent network equivalents. The idea of latency is to use different time-steps for distinct poles, i.e., fast poles are solved using a small time-step while slower poles may be solved using larger time-steps. For the separation of the slow and fast dynamics, a technique named Multiple Companion Networks (MCN) has been developed. The technique has been applied to transient tests of a transmission line modeled with a rational model. The results obtained indicated that a gain in numerical efficiency is possible without compromising accuracy.