A Multi-function AAA Algorithm Applied to Frequency Dependent Line Modeling

Use of Traveling Wave Signatures in Medium-Voltage Distribution Systems for Fault Detection and Location

“…Considering that the main disadvantage of AAA is that it is limited to single-input problems, the software team designed and tested a new algorithm (named MIAAA) that extends AAA to the multi-input setting while keeping the main advantages of the standard AAA algorithm. Our preliminary results, described in the next section, are very encouraging (Monzón et al 2020), and we plan to keep developing and improving our current version.…”

“…For accurate but computationally expensive algorithms such as Rational Krylov Fitting (RKFIT) (Berljafa and Güttel 2017), our initial tests show that our approach is considerably faster. Our preliminary results have already been accepted for publication in (Monzón et al 2020).…”

“…In this subsection, we provide an overview of the mathematics behind the vector fitting algorithm and Adaptive Antoulas-Anderson algorithm (AAA) and comment on the distinctions between the two. More details can be found in the team's analysis in (Monzón et al 2020) and the references therein.…”

“…To compare the performance of MIAAA with vector fitting, we consider two examples from the literature and as discussed in our analysis paper (Monzón et al 2020).…”