Reconstruction of an unknown electrical network from their reflectogram by an iterative algorithm based on local identification of peaks and inverse scattering theory

We aim at recovering the topology of an unknown electrical network made out of a tree of cables with the same characteristics from only the data obtained through reflectometry. The method is based upon an iterative algorithm associating the peaks of a reflectogram with unknown scatterers which can be either junction or terminal end of the network, dispelling the ambiguities caused by the complexity of the reflectogram. To identify the peaks, we propose an new algorithm adapted to our goal. The reconstructed networks are topologically identical to the originals ones in 99 per cent of all cases. Cables lengths and terminal loads are also retrieved with high accuracy, e.g. with typical error respectively less than 5% and less than 15%.