%0 Journal Article
%T Current identification in vacuum circuit breakers as a least squares problem*
%A Ghezzi Luca
%A Rapetti Francesca
%J ESAIM : Proceedings
%D 2013
%I EDP Sciences
%R 10.1051/proc/201238020
%X In this work, a magnetostatic inverse problem is solved, in order to reconstruct the electric current distribution inside high voltage, vacuum circuit breakers from measurements of the outside magnetic field. The (rectangular) final algebraic linear system is solved in the least square sense, by involving a regularized singular value decomposition of the system matrix. An approximated distribution of the electric current is thus returned, without the theoretical problem which is encountered with optical methods of matching light to temperature and finally to current density. The feasibility is justified from the computational point of view as the (industrial) goal is to evaluate whether, or to what extent in terms of accuracy, a given experimental set-up (number and noise level of sensors) is adequate to work as a ¡°magnetic camera¡± for a given circuit breaker. Dans cet article, on r¨¦sout un probl¨¨me inverse magn¨¦tostatique pour d¨¦terminer la distribution du courant ¨¦lectrique dans le vide d¡¯un disjoncteur ¨¤ haute tension ¨¤ partir des mesures du champ magn¨¦tique ext¨¦rieur. Le syst¨¨me alg¨¦brique (rectangulaire) final est r¨¦solu au sens des moindres carr¨¦s en faisant appel ¨¤ une d¨¦composition en valeurs singuli¨¨res regularis¨¦e de la matrice du syst¨¨me. On obtient ainsi une approximation de la distribution du courant ¨¦lectrique sans le probl¨¨me th¨¦orique propre des m¨¦thodes optiques qui est celui de relier la lumi¨¨re ¨¤ la temp¨¦rature et donc ¨¤ la densit¨¦ du courant. La faisabilit¨¦ est justifi¨¦e d¡¯un point de vue num¨¦rique car le but (industriel) est d¡¯¨¦valuer si, ou ¨¤ quelle pr¨¦cision, un dispositif exp¨¦rimental donn¨¦ (nombre et seuil limite de bruit des senseurs) peut travailler comme une ¡°cam¨¦ra magn¨¦tique¡± pour un certain disjoncteur.
%U dx.doi.org/10.1051/proc/201238020