The Best Approximation of the Field E ects in Electric Circuit

Problems Daniel Ioan, Irina Munteanu (IEEE members) and Cristian-George Constantin "POLITEHNICA" University of Bucharest, Numerical Methods Laboratory Electrical Engineering Dept. Spl. Independentei 313, 77206 Bucharest, Romania Abstract| The paper presents a new e cient technique to solve electromagnetic eld problems coupled with electric or electronic circuits. It is based on a post-processing algorithm which extracts from the numerical eld solution a lumped parameters circuit with imposed complexity, ensuring minimal approximation error. In order to evaluate the algorithm's accuracy a general theory regarding equivalent circuits for quasistationary eld e ects was developed. The new technique was applied and errors were evaluated in two simple but relevant cases. A practical application (the FLUXSET sensor modeling) is also presented. Index terms|Eddy currents, distributed parameter circuits, approximation methods, identi cation, magnetic circuits, magnetic eld detector, electromagnetic circuit element.