Characterization of the response maps of alternating-current networks
Combinatorics
2021-05-11 v1 Mathematical Physics
math.MP
Abstract
In an alternating-current network, each edge has a complex "conductance" with positive real part. The response map is the linear map from the vector of voltages at a subset of "boundary nodes" to the vector of currents flowing into the network through these nodes. We prove that the known necessary conditions for these response maps are sufficient, and we construct an appropriate alternating-current network for a given response map.
Keywords
Cite
@article{arxiv.1904.02031,
title = {Characterization of the response maps of alternating-current networks},
author = {Günter Rote},
journal= {arXiv preprint arXiv:1904.02031},
year = {2021}
}
Comments
6 pages, 1 figure