Explicit reconstruction of line-currents and their positions in a two-dimensional parallel conductor structure
2014 (English)In: Inverse Problems in Science and Engineering, ISSN 1741-5977, E-ISSN 1741-5985, Vol. 22, no 7, 1196-1213 p.Article in journal (Refereed) Published
The magnetic inverse source problem of reconstructing the positions and currents of very long parallel conductors is considered in a two-dimensional situation, with applications to power line measurements. The input data is the magnetic field on a contour surrounding the conductors to be reconstructed. Using a scalar-vector Green identity, an explicit reconstruction algorithm is derived. The numerical implementation of the algorithm is described and simulation results are presented, demonstrating the influences from numerical errors and noise in measurement data. The algorithm can handle an arbitrary number of conductors, but benchmarking against the Cramer-Rao lower bounds indicate that the algorithm is non-optimal and becomes increasingly unstable when increasing the number of conductors. Mathematically, the Green identity approach removes the influence of external disturbances and thus has potential usefulness in current reconstruction for determining optimal sensor positions and how to process measurement data.
Place, publisher, year, edition, pages
2014. Vol. 22, no 7, 1196-1213 p.
current reconstruction, harmonic function, magnetic inverse source problem, power line measurements, scalar-vector Green identity
Engineering and Technology
IdentifiersURN: urn:nbn:se:kth:diva-148190DOI: 10.1080/17415977.2013.860589ISI: 000338012500009ScopusID: 2-s2.0-84902482191OAI: oai:DiVA.org:kth-148190DiVA: diva2:735965
QC 201408042014-08-042014-08-042014-08-04Bibliographically approved