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Sensor Selection via Convex Optimization in Remote Contact-free Measurement of Currents
KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.ORCID iD: 0000-0002-9665-8557
KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.ORCID iD: 0000-0001-9241-8030
2017 (English)In: 2017 International Applied Computational Electromagnetics Society Symposium - Italy, ACES 2017, Institute of Electrical and Electronics Engineers (IEEE), 2017, article id 7916351Conference paper, Published paper (Refereed)
Abstract [en]

The sensor positions have substantial effect on the accuracy of remote contact-free reconstruction of currents in power transmission lines from magnetic field data, measured by a set of sensors located under the conductors. By maximizing a performance metric, based on the Fisher information matrix, Nopt sensors are selected from N candidate sensors. The main optimization problem is changed to a convex optimization problem using a relaxation of the integer constraints. The result for optimized sensor positions for a remote current reconstruction in power transmission lines using a planar sensor array is demonstrated.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2017. article id 7916351
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-199687DOI: 10.23919/ROPACES.2017.7916351Scopus ID: 2-s2.0-85020042728ISBN: 9780996007832 (print)OAI: oai:DiVA.org:kth-199687DiVA, id: diva2:1065037
Conference
2017 International Applied Computational Electromagnetics Society Symposium - Italy, ACES 2017, Firenze, Italy, 26 March 2017 through 30 March 2017
Note

QC 20170116

Available from: 2017-01-13 Created: 2017-01-13 Last updated: 2017-06-22Bibliographically approved
In thesis
1. Remote contact-free reconstruction of currents in two-dimensional parallel conductors
Open this publication in new window or tab >>Remote contact-free reconstruction of currents in two-dimensional parallel conductors
2016 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

In this thesis, the theory of the remote contact-free reconstruction of currents in two-dimensional parallel conductors is investigated. The motivation of this study is finding a complement technique to measurement transformers which are the well-established devices to measure currents in power transmission lines. This technique would provide the possibility of measuring currents at different locations of a power system, as well as, at different frequencies.

 

Remote contact-free determination of currents is an electromagnetic inverse source problem in which the currents are reconstructed from the magnetic field data collected by a set of sensors located in the vicinity of the conductors. Since the sensors are not too close to the conductors, the main challenge is the effect of the disturbance fields produced by the external sources in the measurement.

 

In the case that the external sources produce three-dimensional disturbance fields, the magnetic field due to the external sources is expressed as a truncated expansion of the spherical harmonics and both the currents in the conductors and the expansion coefficients are determined by applying the least square method. To overcome the ill-posedness of the problem, the functional to be minimized is augmented by a Tikhonov regularization term that penalizes unphysical solutions introduced by the expansion coefficients.

 

Finally, the problem of selecting a limited number of optimal sensor positions among a set of predetermined sensor positions is considered. Using the relaxation method, this optimization problem is changed to a convex optimization problem which can be readily solved using the CVX package.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2016. p. 35
Series
TRITA-EE, ISSN 1653-5146 ; 2016:196
National Category
Engineering and Technology
Research subject
Electrical Engineering
Identifiers
urn:nbn:se:kth:diva-199635 (URN)978-91-7729-240-1 (ISBN)
Presentation
2017-01-26, V3, Teknikringen 72, KTH, Stockholm, 10:00 (English)
Opponent
Supervisors
Note

QC 20170116

Available from: 2017-01-16 Created: 2017-01-11 Last updated: 2017-01-16Bibliographically approved

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